id sid tid token lemma pos fis-4238 1 1 microsoft microsoft PROPN fis-4238 1 2 word word PROPN fis-4238 1 3 numero_66_art_02_4238.docx numero_66_art_02_4238.docx VERB fis-4238 1 4 r. r. PROPN fis-4238 1 5 b. b. PROPN fis-4238 1 6 p. p. PROPN fis-4238 1 7 nonato nonato PROPN fis-4238 1 8 , , PUNCT fis-4238 1 9 frattura frattura PROPN fis-4238 1 10 ed ed PROPN fis-4238 1 11 integrità integrità PROPN fis-4238 1 12 strutturale strutturale PROPN fis-4238 1 13 , , PUNCT fis-4238 1 14 65 65 NUM fis-4238 1 15 ( ( PUNCT fis-4238 1 16 2023 2023 NUM fis-4238 1 17 ) ) PUNCT fis-4238 1 18 17 17 NUM fis-4238 1 19 - - SYM fis-4238 1 20 37 37 NUM fis-4238 1 21 ; ; PUNCT fis-4238 1 22 doi doi NOUN fis-4238 1 23 : : PUNCT fis-4238 1 24 10.3221 10.3221 NUM fis-4238 1 25 / / SYM fis-4238 1 26 igf igf PROPN fis-4238 1 27 - - ADJ fis-4238 1 28 esis.66.02 esis.66.02 PROPN fis-4238 1 29 17 17 NUM fis-4238 1 30 multi multi ADJ fis-4238 1 31 - - ADJ fis-4238 1 32 level level ADJ fis-4238 1 33 uncertain uncertain ADJ fis-4238 1 34 fatigue fatigue NOUN fis-4238 1 35 analysis analysis NOUN fis-4238 1 36 of of ADP fis-4238 1 37 a a DET fis-4238 1 38 truss truss NOUN fis-4238 1 39 under under ADP fis-4238 1 40 incomplete incomplete ADJ fis-4238 1 41 available available ADJ fis-4238 1 42 information information PROPN fis-4238 2 1 r. r. PROPN fis-4238 2 2 b. b. PROPN fis-4238 3 1 p. p. NOUN fis-4238 3 2 nonato nonato PROPN fis-4238 4 1 mechanical mechanical ADJ fis-4238 4 2 engineering engineering PROPN fis-4238 4 3 department department PROPN fis-4238 4 4 , , PUNCT fis-4238 4 5 federal federal PROPN fis-4238 4 6 institute institute PROPN fis-4238 4 7 of of ADP fis-4238 4 8 santa santa PROPN fis-4238 4 9 catarina catarina PROPN fis-4238 4 10 , , PUNCT fis-4238 4 11 ifsc ifsc PROPN fis-4238 4 12 , , PUNCT fis-4238 4 13 xanxerê xanxerê PROPN fis-4238 4 14 , , PUNCT fis-4238 4 15 brazil brazil PROPN fis-4238 4 16 raphaelbasilio@gmail.com raphaelbasilio@gmail.com PROPN fis-4238 4 17 , , PUNCT fis-4238 4 18 https://orcid.org/0000-0002-4740-9888 https://orcid.org/0000-0002-4740-9888 PROPN fis-4238 4 19 abstract abstract PROPN fis-4238 4 20 . . PUNCT fis-4238 5 1 the the DET fis-4238 5 2 present present ADJ fis-4238 5 3 paper paper NOUN fis-4238 5 4 deals deal NOUN fis-4238 5 5 with with ADP fis-4238 5 6 the the DET fis-4238 5 7 prediction prediction NOUN fis-4238 5 8 of of ADP fis-4238 5 9 the the DET fis-4238 5 10 fatigue fatigue NOUN fis-4238 5 11 life life NOUN fis-4238 5 12 of of ADP fis-4238 5 13 a a DET fis-4238 5 14 planar planar ADJ fis-4238 5 15 tubular tubular ADJ fis-4238 5 16 truss truss NOUN fis-4238 5 17 , , PUNCT fis-4238 5 18 when when SCONJ fis-4238 5 19 geometrical geometrical ADJ fis-4238 5 20 parameters parameter NOUN fis-4238 5 21 , , PUNCT fis-4238 5 22 material material NOUN fis-4238 5 23 properties property NOUN fis-4238 5 24 , , PUNCT fis-4238 5 25 and and CCONJ fis-4238 5 26 live live ADJ fis-4238 5 27 loads load NOUN fis-4238 5 28 are be AUX fis-4238 5 29 non non ADJ fis-4238 5 30 - - ADJ fis-4238 5 31 deterministic deterministic ADJ fis-4238 5 32 . . PUNCT fis-4238 6 1 a a DET fis-4238 6 2 multi multi ADJ fis-4238 6 3 - - ADJ fis-4238 6 4 level level ADJ fis-4238 6 5 calculation calculation NOUN fis-4238 6 6 uncertainty uncertainty NOUN fis-4238 6 7 quantification quantification NOUN fis-4238 6 8 framework framework NOUN fis-4238 6 9 code code NOUN fis-4238 6 10 was be AUX fis-4238 6 11 designed design VERB fis-4238 6 12 to to PART fis-4238 6 13 aggregate aggregate VERB fis-4238 6 14 the the DET fis-4238 6 15 finite finite ADJ fis-4238 6 16 element element NOUN fis-4238 6 17 method method NOUN fis-4238 6 18 and and CCONJ fis-4238 6 19 fatigue fatigue NOUN fis-4238 6 20 - - PUNCT fis-4238 6 21 induced induce VERB fis-4238 6 22 sequential sequential ADJ fis-4238 6 23 failures failure NOUN fis-4238 6 24 . . PUNCT fis-4238 7 1 due due ADP fis-4238 7 2 to to ADP fis-4238 7 3 the the DET fis-4238 7 4 incompleteness incompleteness NOUN fis-4238 7 5 of of ADP fis-4238 7 6 the the DET fis-4238 7 7 aleatory aleatory ADJ fis-4238 7 8 - - PUNCT fis-4238 7 9 type type NOUN fis-4238 7 10 inputs input NOUN fis-4238 7 11 , , PUNCT fis-4238 7 12 the the DET fis-4238 7 13 maximum maximum PROPN fis-4238 7 14 entropy entropy PROPN fis-4238 7 15 principle principle NOUN fis-4238 7 16 was be AUX fis-4238 7 17 applied apply VERB fis-4238 7 18 . . PUNCT fis-4238 8 1 two two NUM fis-4238 8 2 sensitivity sensitivity NOUN fis-4238 8 3 analyses analysis NOUN fis-4238 8 4 were be AUX fis-4238 8 5 performed perform VERB fis-4238 8 6 to to PART fis-4238 8 7 report report VERB fis-4238 8 8 the the DET fis-4238 8 9 most most ADV fis-4238 8 10 influencing influence VERB fis-4238 8 11 factors factor NOUN fis-4238 8 12 . . PUNCT fis-4238 9 1 in in ADP fis-4238 9 2 terms term NOUN fis-4238 9 3 of of ADP fis-4238 9 4 variance variance NOUN fis-4238 9 5 , , PUNCT fis-4238 9 6 the the DET fis-4238 9 7 results result NOUN fis-4238 9 8 suggest suggest VERB fis-4238 9 9 that that SCONJ fis-4238 9 10 the the DET fis-4238 9 11 slope slope NOUN fis-4238 9 12 of of ADP fis-4238 9 13 the the DET fis-4238 9 14 curve curve NOUN fis-4238 9 15 crack crack NOUN fis-4238 9 16 growth growth NOUN fis-4238 9 17 rate rate NOUN fis-4238 9 18 × × PROPN fis-4238 9 19 stress stress NOUN fis-4238 9 20 intensity intensity NOUN fis-4238 9 21 factor factor NOUN fis-4238 9 22 range range NOUN fis-4238 9 23 is be AUX fis-4238 9 24 the the DET fis-4238 9 25 most most ADV fis-4238 9 26 influencing influence VERB fis-4238 9 27 factor factor NOUN fis-4238 9 28 related relate VERB fis-4238 9 29 to to ADP fis-4238 9 30 fatigue fatigue NOUN fis-4238 9 31 life life NOUN fis-4238 9 32 . . PUNCT fis-4238 10 1 furthermore furthermore ADV fis-4238 10 2 , , PUNCT fis-4238 10 3 due due ADP fis-4238 10 4 to to ADP fis-4238 10 5 the the DET fis-4238 10 6 application application NOUN fis-4238 10 7 of of ADP fis-4238 10 8 the the DET fis-4238 10 9 entropy entropy NOUN fis-4238 10 10 concept concept NOUN fis-4238 10 11 , , PUNCT fis-4238 10 12 the the DET fis-4238 10 13 fatigue fatigue NOUN fis-4238 10 14 crack crack VERB fis-4238 10 15 growth growth NOUN fis-4238 10 16 boundaries boundary NOUN fis-4238 10 17 and and CCONJ fis-4238 10 18 fatigue fatigue NOUN fis-4238 10 19 crack crack VERB fis-4238 10 20 semi semi ADJ fis-4238 10 21 - - ADJ fis-4238 10 22 width width ADJ fis-4238 10 23 boundaries boundary NOUN fis-4238 10 24 obtained obtain VERB fis-4238 10 25 provide provide VERB fis-4238 10 26 the the DET fis-4238 10 27 most most ADV fis-4238 10 28 unbiased unbiased ADJ fis-4238 10 29 fatigue fatigue NOUN fis-4238 10 30 crack crack VERB fis-4238 10 31 design design NOUN fis-4238 10 32 mapping mapping NOUN fis-4238 10 33 . . PUNCT fis-4238 11 1 these these DET fis-4238 11 2 boundaries boundary NOUN fis-4238 11 3 allow allow VERB fis-4238 11 4 the the DET fis-4238 11 5 designer designer NOUN fis-4238 11 6 to to PART fis-4238 11 7 select select VERB fis-4238 11 8 the the DET fis-4238 11 9 worst bad ADJ fis-4238 11 10 - - PUNCT fis-4238 11 11 case case NOUN fis-4238 11 12 fatigue fatigue NOUN fis-4238 11 13 scenario scenario NOUN fis-4238 11 14 , , PUNCT fis-4238 11 15 besides besides SCONJ fis-4238 11 16 being be AUX fis-4238 11 17 able able ADJ fis-4238 11 18 to to PART fis-4238 11 19 predict predict VERB fis-4238 11 20 the the DET fis-4238 11 21 crack crack NOUN fis-4238 11 22 behavior behavior NOUN fis-4238 11 23 at at ADP fis-4238 11 24 a a DET fis-4238 11 25 required required ADJ fis-4238 11 26 confidence confidence NOUN fis-4238 11 27 level level NOUN fis-4238 11 28 . . PUNCT fis-4238 12 1 keywords keyword NOUN fis-4238 12 2 . . PUNCT fis-4238 13 1 fatigue fatigue NOUN fis-4238 13 2 analysis analysis NOUN fis-4238 13 3 , , PUNCT fis-4238 13 4 uncertainty uncertainty NOUN fis-4238 13 5 quantification quantification NOUN fis-4238 13 6 , , PUNCT fis-4238 13 7 truss truss ADJ fis-4238 13 8 , , PUNCT fis-4238 13 9 uncertain uncertain ADJ fis-4238 13 10 fatigue fatigue NOUN fis-4238 13 11 analysis analysis NOUN fis-4238 13 12 , , PUNCT fis-4238 13 13 incomplete incomplete ADJ fis-4238 13 14 information information NOUN fis-4238 13 15 , , PUNCT fis-4238 13 16 maximum maximum PROPN fis-4238 13 17 entropy entropy PROPN fis-4238 13 18 principle principle PROPN fis-4238 13 19 . . PUNCT fis-4238 14 1 citation citation NOUN fis-4238 14 2 : : PUNCT fis-4238 14 3 nonato nonato PROPN fis-4238 14 4 , , PUNCT fis-4238 14 5 r.b.p r.b.p PROPN fis-4238 14 6 . . PUNCT fis-4238 14 7 , , PUNCT fis-4238 14 8 multi multi ADJ fis-4238 14 9 - - ADJ fis-4238 14 10 level level ADJ fis-4238 14 11 uncertain uncertain ADJ fis-4238 14 12 fatigue fatigue NOUN fis-4238 14 13 analysis analysis NOUN fis-4238 14 14 of of ADP fis-4238 14 15 a a DET fis-4238 14 16 truss truss NOUN fis-4238 14 17 under under ADP fis-4238 14 18 incomplete incomplete ADJ fis-4238 14 19 available available ADJ fis-4238 14 20 information information NOUN fis-4238 14 21 , , PUNCT fis-4238 14 22 frattura frattura PROPN fis-4238 14 23 ed ed PROPN fis-4238 14 24 integrità integrità PROPN fis-4238 14 25 strutturale strutturale PROPN fis-4238 14 26 , , PUNCT fis-4238 14 27 65 65 NUM fis-4238 14 28 ( ( PUNCT fis-4238 14 29 2023 2023 NUM fis-4238 14 30 ) ) PUNCT fis-4238 14 31 17 17 NUM fis-4238 14 32 - - SYM fis-4238 14 33 37 37 NUM fis-4238 14 34 . . PUNCT fis-4238 14 35 received receive VERB fis-4238 14 36 : : PUNCT fis-4238 14 37 22.04.2023 22.04.2023 NUM fis-4238 14 38 accepted accept VERB fis-4238 14 39 : : PUNCT fis-4238 14 40 06.07.2023 06.07.2023 PROPN fis-4238 14 41 online online ADV fis-4238 14 42 first first ADV fis-4238 14 43 : : PUNCT fis-4238 14 44 19.07.2023 19.07.2023 NUM fis-4238 14 45 published publish VERB fis-4238 14 46 : : PUNCT fis-4238 14 47 01.10.2023 01.10.2023 NUM fis-4238 14 48 copyright copyright NOUN fis-4238 14 49 : : PUNCT fis-4238 14 50 © © PROPN fis-4238 14 51 2023 2023 NUM fis-4238 14 52 this this PRON fis-4238 14 53 is be AUX fis-4238 14 54 an an DET fis-4238 14 55 open open ADJ fis-4238 14 56 access access NOUN fis-4238 14 57 article article NOUN fis-4238 14 58 under under ADP fis-4238 14 59 the the DET fis-4238 14 60 terms term NOUN fis-4238 14 61 of of ADP fis-4238 14 62 the the DET fis-4238 14 63 cc cc NOUN fis-4238 14 64 - - PUNCT fis-4238 14 65 by by ADP fis-4238 14 66 4.0 4.0 NUM fis-4238 14 67 , , PUNCT fis-4238 14 68 which which PRON fis-4238 14 69 permits permit VERB fis-4238 14 70 unrestricted unrestricted ADJ fis-4238 14 71 use use NOUN fis-4238 14 72 , , PUNCT fis-4238 14 73 distribution distribution NOUN fis-4238 14 74 , , PUNCT fis-4238 14 75 and and CCONJ fis-4238 14 76 reproduction reproduction NOUN fis-4238 14 77 in in ADP fis-4238 14 78 any any DET fis-4238 14 79 medium medium NOUN fis-4238 14 80 , , PUNCT fis-4238 14 81 provided provide VERB fis-4238 14 82 the the DET fis-4238 14 83 original original ADJ fis-4238 14 84 author author NOUN fis-4238 14 85 and and CCONJ fis-4238 14 86 source source NOUN fis-4238 14 87 are be AUX fis-4238 14 88 credited credit VERB fis-4238 14 89 . . PUNCT fis-4238 15 1 introduction introduction NOUN fis-4238 15 2 he he PRON fis-4238 15 3 fatigue fatigue NOUN fis-4238 15 4 phenomenon phenomenon NOUN fis-4238 15 5 is be AUX fis-4238 15 6 responsible responsible ADJ fis-4238 15 7 for for ADP fis-4238 15 8 the the DET fis-4238 15 9 majority majority NOUN fis-4238 15 10 of of ADP fis-4238 15 11 structural structural ADJ fis-4238 15 12 systems system NOUN fis-4238 15 13 failures failure NOUN fis-4238 15 14 due due ADJ fis-4238 15 15 to to ADP fis-4238 15 16 mechanical mechanical ADJ fis-4238 15 17 causes cause NOUN fis-4238 15 18 [ [ X fis-4238 15 19 1 1 NUM fis-4238 15 20 ] ] PUNCT fis-4238 15 21 . . PUNCT fis-4238 16 1 cyclic cyclic ADJ fis-4238 16 2 loading loading NOUN fis-4238 16 3 acting act VERB fis-4238 16 4 on on ADP fis-4238 16 5 a a DET fis-4238 16 6 structure structure NOUN fis-4238 16 7 during during ADP fis-4238 16 8 its its PRON fis-4238 16 9 life life NOUN fis-4238 16 10 may may AUX fis-4238 16 11 produce produce VERB fis-4238 16 12 local local ADJ fis-4238 16 13 failures failure NOUN fis-4238 16 14 sufficient sufficient ADJ fis-4238 16 15 to to PART fis-4238 16 16 provoke provoke VERB fis-4238 16 17 its its PRON fis-4238 16 18 total total ADJ fis-4238 16 19 collapse collapse NOUN fis-4238 16 20 . . PUNCT fis-4238 17 1 one one NUM fis-4238 17 2 manner manner NOUN fis-4238 17 3 to to PART fis-4238 17 4 mitigate mitigate VERB fis-4238 17 5 this this DET fis-4238 17 6 risk risk NOUN fis-4238 17 7 is be AUX fis-4238 17 8 to to PART fis-4238 17 9 provide provide VERB fis-4238 17 10 a a DET fis-4238 17 11 certain certain ADJ fis-4238 17 12 level level NOUN fis-4238 17 13 of of ADP fis-4238 17 14 redundancy redundancy NOUN fis-4238 17 15 , , PUNCT fis-4238 17 16 which which PRON fis-4238 17 17 could could AUX fis-4238 17 18 prevent prevent VERB fis-4238 17 19 disasters disaster NOUN fis-4238 17 20 , , PUNCT fis-4238 17 21 catastrophic catastrophic ADJ fis-4238 17 22 events event NOUN fis-4238 17 23 , , PUNCT fis-4238 17 24 and and CCONJ fis-4238 17 25 losses loss NOUN fis-4238 17 26 in in ADP fis-4238 17 27 general general ADJ fis-4238 17 28 . . PUNCT fis-4238 18 1 however however ADV fis-4238 18 2 , , PUNCT fis-4238 18 3 in in ADP fis-4238 18 4 a a DET fis-4238 18 5 fatigue fatigue NOUN fis-4238 18 6 scenario scenario NOUN fis-4238 18 7 under under ADP fis-4238 18 8 the the DET fis-4238 18 9 fracture fracture NOUN fis-4238 18 10 mechanics mechanic NOUN fis-4238 18 11 approach approach NOUN fis-4238 18 12 , , PUNCT fis-4238 18 13 even even ADV fis-4238 18 14 a a DET fis-4238 18 15 structure structure NOUN fis-4238 18 16 with with ADP fis-4238 18 17 a a DET fis-4238 18 18 high high ADJ fis-4238 18 19 redundancy redundancy NOUN fis-4238 18 20 degree degree NOUN fis-4238 18 21 needs need VERB fis-4238 18 22 to to PART fis-4238 18 23 be be AUX fis-4238 18 24 carefully carefully ADV fis-4238 18 25 checked check VERB fis-4238 18 26 with with ADP fis-4238 18 27 regard regard NOUN fis-4238 18 28 to to ADP fis-4238 18 29 its its PRON fis-4238 18 30 safety safety NOUN fis-4238 18 31 under under ADP fis-4238 18 32 uncertainty uncertainty NOUN fis-4238 18 33 . . PUNCT fis-4238 19 1 furthermore furthermore ADV fis-4238 19 2 , , PUNCT fis-4238 19 3 under under ADP fis-4238 19 4 the the DET fis-4238 19 5 assumption assumption NOUN fis-4238 19 6 of of ADP fis-4238 19 7 uncertainty uncertainty NOUN fis-4238 19 8 in in ADP fis-4238 19 9 involved involved ADJ fis-4238 19 10 parameters parameter NOUN fis-4238 19 11 , , PUNCT fis-4238 19 12 the the DET fis-4238 19 13 analysis analysis NOUN fis-4238 19 14 demands demand VERB fis-4238 19 15 more more ADV fis-4238 19 16 sophisticated sophisticated ADJ fis-4238 19 17 tools tool NOUN fis-4238 19 18 and and CCONJ fis-4238 19 19 methodologies methodology NOUN fis-4238 19 20 to to PART fis-4238 19 21 compose compose VERB fis-4238 19 22 the the DET fis-4238 19 23 fatigue fatigue NOUN fis-4238 19 24 framework framework NOUN fis-4238 19 25 due due ADP fis-4238 19 26 to to ADP fis-4238 19 27 the the DET fis-4238 19 28 complexity complexity NOUN fis-4238 19 29 and and CCONJ fis-4238 19 30 amount amount NOUN fis-4238 19 31 of of ADP fis-4238 19 32 data datum NOUN fis-4238 19 33 . . PUNCT fis-4238 20 1 a a DET fis-4238 20 2 complicating complicate VERB fis-4238 20 3 factor factor NOUN fis-4238 20 4 in in ADP fis-4238 20 5 this this DET fis-4238 20 6 type type NOUN fis-4238 20 7 of of ADP fis-4238 20 8 analysis analysis NOUN fis-4238 20 9 occurs occur VERB fis-4238 20 10 when when SCONJ fis-4238 20 11 the the DET fis-4238 20 12 necessary necessary ADJ fis-4238 20 13 information information NOUN fis-4238 20 14 about about ADP fis-4238 20 15 the the DET fis-4238 20 16 uncertain uncertain ADJ fis-4238 20 17 input input NOUN fis-4238 20 18 quantities quantity NOUN fis-4238 20 19 ( ( PUNCT fis-4238 20 20 uiqs uiqs ADJ fis-4238 20 21 ) ) PUNCT fis-4238 20 22 is be AUX fis-4238 20 23 incomplete incomplete ADJ fis-4238 20 24 or or CCONJ fis-4238 20 25 simply simply ADV fis-4238 20 26 unavailable unavailable ADJ fis-4238 20 27 . . PUNCT fis-4238 21 1 another another DET fis-4238 21 2 factor factor NOUN fis-4238 21 3 that that PRON fis-4238 21 4 brings bring VERB fis-4238 21 5 difficulty difficulty NOUN fis-4238 21 6 refers refer VERB fis-4238 21 7 to to ADP fis-4238 21 8 the the DET fis-4238 21 9 calculation calculation NOUN fis-4238 21 10 framework framework NOUN fis-4238 21 11 , , PUNCT fis-4238 21 12 which which PRON fis-4238 21 13 intrinsically intrinsically ADV fis-4238 21 14 involves involve VERB fis-4238 21 15 multiple multiple ADJ fis-4238 21 16 levels level NOUN fis-4238 21 17 through through ADP fis-4238 21 18 which which PRON fis-4238 21 19 the the DET fis-4238 21 20 uncertainty uncertainty NOUN fis-4238 21 21 has have VERB fis-4238 21 22 to to PART fis-4238 21 23 be be AUX fis-4238 21 24 propagated propagate VERB fis-4238 21 25 . . PUNCT fis-4238 22 1 in in ADP fis-4238 22 2 this this DET fis-4238 22 3 sense sense NOUN fis-4238 22 4 , , PUNCT fis-4238 22 5 uncertain uncertain ADJ fis-4238 22 6 fatigue fatigue NOUN fis-4238 22 7 analyses analysis NOUN fis-4238 22 8 have have AUX fis-4238 22 9 been be AUX fis-4238 22 10 conducted conduct VERB fis-4238 22 11 to to PART fis-4238 22 12 reflect reflect VERB fis-4238 22 13 this this DET fis-4238 22 14 lack lack NOUN fis-4238 22 15 of of ADP fis-4238 22 16 information information NOUN fis-4238 22 17 and and CCONJ fis-4238 22 18 how how SCONJ fis-4238 22 19 they they PRON fis-4238 22 20 impact impact VERB fis-4238 22 21 the the DET fis-4238 22 22 system system NOUN fis-4238 22 23 response response NOUN fis-4238 22 24 quantities quantity NOUN fis-4238 22 25 ( ( PUNCT fis-4238 22 26 srqs srqs X fis-4238 22 27 ) ) PUNCT fis-4238 22 28 involved involve VERB fis-4238 22 29 in in ADP fis-4238 22 30 all all DET fis-4238 22 31 t t NOUN fis-4238 22 32 https://youtu.be/stzxjrc3eay https://youtu.be/stzxjrc3eay PROPN fis-4238 22 33 r. r. PROPN fis-4238 22 34 b. b. PROPN fis-4238 22 35 p. p. PROPN fis-4238 22 36 nonato nonato PROPN fis-4238 22 37 , , PUNCT fis-4238 22 38 frattura frattura PROPN fis-4238 22 39 ed ed PROPN fis-4238 22 40 integrità integrità PROPN fis-4238 22 41 strutturale strutturale PROPN fis-4238 22 42 , , PUNCT fis-4238 22 43 65 65 NUM fis-4238 22 44 ( ( PUNCT fis-4238 22 45 2023 2023 NUM fis-4238 22 46 ) ) PUNCT fis-4238 22 47 17 17 NUM fis-4238 22 48 - - SYM fis-4238 22 49 37 37 NUM fis-4238 22 50 ; ; PUNCT fis-4238 22 51 doi doi NOUN fis-4238 22 52 : : PUNCT fis-4238 22 53 10.3221 10.3221 NUM fis-4238 22 54 / / SYM fis-4238 22 55 igf igf PROPN fis-4238 22 56 - - ADJ fis-4238 22 57 esis.66.02 esis.66.02 PROPN fis-4238 22 58 18 18 NUM fis-4238 22 59 calculation calculation NOUN fis-4238 22 60 levels level NOUN fis-4238 22 61 . . PUNCT fis-4238 23 1 these these DET fis-4238 23 2 types type NOUN fis-4238 23 3 of of ADP fis-4238 23 4 analyses analysis NOUN fis-4238 23 5 are be AUX fis-4238 23 6 mainly mainly ADV fis-4238 23 7 performed perform VERB fis-4238 23 8 in in ADP fis-4238 23 9 problems problem NOUN fis-4238 23 10 related relate VERB fis-4238 23 11 to to ADP fis-4238 23 12 reliability reliability NOUN fis-4238 23 13 analysis analysis NOUN fis-4238 23 14 , , PUNCT fis-4238 23 15 as as SCONJ fis-4238 23 16 can can AUX fis-4238 23 17 be be AUX fis-4238 23 18 checked check VERB fis-4238 23 19 in in ADP fis-4238 23 20 [ [ PUNCT fis-4238 23 21 2 2 NUM fis-4238 23 22 - - SYM fis-4238 23 23 6 6 NUM fis-4238 23 24 ] ] PUNCT fis-4238 23 25 . . PUNCT fis-4238 24 1 in in ADP fis-4238 24 2 the the DET fis-4238 24 3 context context NOUN fis-4238 24 4 of of ADP fis-4238 24 5 a a DET fis-4238 24 6 monte monte PROPN fis-4238 24 7 carlo carlo PROPN fis-4238 24 8 simulation simulation NOUN fis-4238 24 9 or or CCONJ fis-4238 24 10 a a DET fis-4238 24 11 variation variation NOUN fis-4238 24 12 of of ADP fis-4238 24 13 it it PRON fis-4238 24 14 , , PUNCT fis-4238 24 15 the the DET fis-4238 24 16 uncertainty uncertainty NOUN fis-4238 24 17 quantification quantification NOUN fis-4238 24 18 ( ( PUNCT fis-4238 24 19 uq uq NOUN fis-4238 24 20 ) ) PUNCT fis-4238 24 21 approaches approach NOUN fis-4238 24 22 applied apply VERB fis-4238 24 23 can can AUX fis-4238 24 24 be be AUX fis-4238 24 25 listed list VERB fis-4238 24 26 as as ADP fis-4238 24 27 : : PUNCT fis-4238 24 28 ( ( PUNCT fis-4238 24 29 a a X fis-4238 24 30 ) ) PUNCT fis-4238 24 31 classical classical ADJ fis-4238 24 32 probabilistic probabilistic NOUN fis-4238 24 33 ; ; PUNCT fis-4238 24 34 ( ( PUNCT fis-4238 24 35 b b X fis-4238 24 36 ) ) PUNCT fis-4238 24 37 bayesian bayesian NOUN fis-4238 24 38 inference inference NOUN fis-4238 24 39 ; ; PUNCT fis-4238 24 40 and and CCONJ fis-4238 24 41 ( ( PUNCT fis-4238 24 42 c c X fis-4238 24 43 ) ) PUNCT fis-4238 24 44 probability probability NOUN fis-4238 24 45 bounds bound VERB fis-4238 24 46 analysis analysis NOUN fis-4238 24 47 ( ( PUNCT fis-4238 24 48 pba pba NOUN fis-4238 24 49 ) ) PUNCT fis-4238 24 50 . . PUNCT fis-4238 25 1 as as ADV fis-4238 25 2 far far ADV fis-4238 25 3 as as SCONJ fis-4238 25 4 this this DET fis-4238 25 5 research research NOUN fis-4238 25 6 could could AUX fis-4238 25 7 reach reach VERB fis-4238 25 8 , , PUNCT fis-4238 25 9 most most ADJ fis-4238 25 10 studies study NOUN fis-4238 25 11 are be AUX fis-4238 25 12 based base VERB fis-4238 25 13 on on ADP fis-4238 25 14 the the DET fis-4238 25 15 probabilistic probabilistic ADJ fis-4238 25 16 methods method NOUN fis-4238 25 17 [ [ X fis-4238 25 18 2 2 NUM fis-4238 25 19 , , PUNCT fis-4238 25 20 4 4 NUM fis-4238 25 21 , , PUNCT fis-4238 25 22 5 5 NUM fis-4238 25 23 , , PUNCT fis-4238 25 24 7 7 NUM fis-4238 25 25 , , PUNCT fis-4238 25 26 8 8 NUM fis-4238 25 27 ] ] PUNCT fis-4238 25 28 . . PUNCT fis-4238 26 1 this this DET fis-4238 26 2 approach approach NOUN fis-4238 26 3 , , PUNCT fis-4238 26 4 on on ADP fis-4238 26 5 which which PRON fis-4238 26 6 this this DET fis-4238 26 7 paper paper NOUN fis-4238 26 8 is be AUX fis-4238 26 9 based base VERB fis-4238 26 10 to to PART fis-4238 26 11 model model VERB fis-4238 26 12 the the DET fis-4238 26 13 uncertainties uncertainty NOUN fis-4238 26 14 , , PUNCT fis-4238 26 15 represents represent VERB fis-4238 26 16 an an DET fis-4238 26 17 adequate adequate ADJ fis-4238 26 18 uiq uiq NOUN fis-4238 26 19 when when SCONJ fis-4238 26 20 there there PRON fis-4238 26 21 is be VERB fis-4238 26 22 enough enough ADJ fis-4238 26 23 random random ADJ fis-4238 26 24 data datum NOUN fis-4238 26 25 to to PART fis-4238 26 26 characterize characterize VERB fis-4238 26 27 it it PRON fis-4238 26 28 . . PUNCT fis-4238 27 1 inherently inherently ADV fis-4238 27 2 , , PUNCT fis-4238 27 3 the the DET fis-4238 27 4 degree degree NOUN fis-4238 27 5 of of ADP fis-4238 27 6 data datum NOUN fis-4238 27 7 dispersion dispersion NOUN fis-4238 27 8 can can AUX fis-4238 27 9 not not PART fis-4238 27 10 be be AUX fis-4238 27 11 simply simply ADV fis-4238 27 12 removed remove VERB fis-4238 27 13 , , PUNCT fis-4238 27 14 although although SCONJ fis-4238 27 15 it it PRON fis-4238 27 16 can can AUX fis-4238 27 17 be be AUX fis-4238 27 18 reduced reduce VERB fis-4238 27 19 by by ADP fis-4238 27 20 , , PUNCT fis-4238 27 21 for for ADP fis-4238 27 22 example example NOUN fis-4238 27 23 , , PUNCT fis-4238 27 24 improving improve VERB fis-4238 27 25 the the DET fis-4238 27 26 control control NOUN fis-4238 27 27 of of ADP fis-4238 27 28 the the DET fis-4238 27 29 involved involved ADJ fis-4238 27 30 process process NOUN fis-4238 27 31 . . PUNCT fis-4238 28 1 related relate VERB fis-4238 28 2 to to ADP fis-4238 28 3 the the DET fis-4238 28 4 bayesian bayesian NOUN fis-4238 28 5 inference inference NOUN fis-4238 28 6 applied apply VERB fis-4238 28 7 to to ADP fis-4238 28 8 fatigue fatigue NOUN fis-4238 28 9 reliability reliability NOUN fis-4238 28 10 analysis analysis NOUN fis-4238 28 11 , , PUNCT fis-4238 28 12 more more ADV fis-4238 28 13 accurate accurate ADJ fis-4238 28 14 inferences inference NOUN fis-4238 28 15 on on ADP fis-4238 28 16 srqs srqs PROPN fis-4238 28 17 may may AUX fis-4238 28 18 be be AUX fis-4238 28 19 achieved achieve VERB fis-4238 28 20 by by ADP fis-4238 28 21 the the DET fis-4238 28 22 available available ADJ fis-4238 28 23 knowledge knowledge NOUN fis-4238 28 24 as as ADP fis-4238 28 25 the the DET fis-4238 28 26 prior prior ADJ fis-4238 28 27 trustworthiness trustworthiness NOUN fis-4238 28 28 on on ADP fis-4238 28 29 model model NOUN fis-4238 28 30 parameters parameter NOUN fis-4238 28 31 [ [ X fis-4238 28 32 9 9 NUM fis-4238 28 33 - - SYM fis-4238 28 34 11 11 NUM fis-4238 28 35 ] ] PUNCT fis-4238 28 36 . . PUNCT fis-4238 29 1 finally finally ADV fis-4238 29 2 , , PUNCT fis-4238 29 3 pba pba PROPN fis-4238 29 4 , , PUNCT fis-4238 29 5 which which PRON fis-4238 29 6 aggregates aggregate VERB fis-4238 29 7 probabilistic probabilistic ADJ fis-4238 29 8 and and CCONJ fis-4238 29 9 interval interval NOUN fis-4238 29 10 variables variable NOUN fis-4238 29 11 , , PUNCT fis-4238 29 12 is be AUX fis-4238 29 13 applied apply VERB fis-4238 29 14 , , PUNCT fis-4238 29 15 for for ADP fis-4238 29 16 example example NOUN fis-4238 29 17 , , PUNCT fis-4238 29 18 in in ADP fis-4238 29 19 [ [ PUNCT fis-4238 29 20 12 12 NUM fis-4238 29 21 - - SYM fis-4238 29 22 14 14 NUM fis-4238 29 23 ] ] PUNCT fis-4238 29 24 . . PUNCT fis-4238 30 1 classical classical ADJ fis-4238 30 2 probabilistic probabilistic ADJ fis-4238 30 3 approach approach NOUN fis-4238 30 4 is be AUX fis-4238 30 5 related relate VERB fis-4238 30 6 to to ADP fis-4238 30 7 monte monte PROPN fis-4238 30 8 carlo carlo PROPN fis-4238 30 9 sampling sampling NOUN fis-4238 30 10 or or CCONJ fis-4238 30 11 one one NUM fis-4238 30 12 of of ADP fis-4238 30 13 its its PRON fis-4238 30 14 variations variation NOUN fis-4238 30 15 . . PUNCT fis-4238 31 1 it it PRON fis-4238 31 2 comprises comprise VERB fis-4238 31 3 a a DET fis-4238 31 4 mathematical mathematical ADJ fis-4238 31 5 definition definition NOUN fis-4238 31 6 of of ADP fis-4238 31 7 aleatory aleatory ADJ fis-4238 31 8 uncertainties uncertainty NOUN fis-4238 31 9 as as ADP fis-4238 31 10 probability probability NOUN fis-4238 31 11 distributions distribution NOUN fis-4238 31 12 . . PUNCT fis-4238 32 1 moreover moreover ADV fis-4238 32 2 , , PUNCT fis-4238 32 3 uncertainty uncertainty NOUN fis-4238 32 4 quantification quantification NOUN fis-4238 32 5 frameworks framework NOUN fis-4238 32 6 ( ( PUNCT fis-4238 32 7 uqfws uqfws NOUN fis-4238 32 8 ) ) PUNCT fis-4238 32 9 comprising comprise VERB fis-4238 32 10 aleatory aleatory ADJ fis-4238 32 11 - - PUNCT fis-4238 32 12 type type NOUN fis-4238 32 13 uncertainty uncertainty NOUN fis-4238 32 14 often often ADV fis-4238 32 15 address address VERB fis-4238 32 16 the the DET fis-4238 32 17 challenge challenge NOUN fis-4238 32 18 of of ADP fis-4238 32 19 determining determine VERB fis-4238 32 20 the the DET fis-4238 32 21 probability probability NOUN fis-4238 32 22 distribution distribution NOUN fis-4238 32 23 and and CCONJ fis-4238 32 24 the the DET fis-4238 32 25 uiqs uiqs ADJ fis-4238 32 26 of of ADP fis-4238 32 27 this this DET fis-4238 32 28 type type NOUN fis-4238 32 29 , , PUNCT fis-4238 32 30 and and CCONJ fis-4238 32 31 it it PRON fis-4238 32 32 becomes become VERB fis-4238 32 33 more more ADV fis-4238 32 34 prone prone ADJ fis-4238 32 35 to to ADP fis-4238 32 36 errors error NOUN fis-4238 32 37 when when SCONJ fis-4238 32 38 the the DET fis-4238 32 39 input input NOUN fis-4238 32 40 data data NOUN fis-4238 32 41 is be AUX fis-4238 32 42 not not PART fis-4238 32 43 available available ADJ fis-4238 32 44 or or CCONJ fis-4238 32 45 given give VERB fis-4238 32 46 in in ADP fis-4238 32 47 an an DET fis-4238 32 48 incomplete incomplete ADJ fis-4238 32 49 manner manner NOUN fis-4238 32 50 . . PUNCT fis-4238 33 1 related relate VERB fis-4238 33 2 to to ADP fis-4238 33 3 aleatory aleatory ADJ fis-4238 33 4 - - PUNCT fis-4238 33 5 type type NOUN fis-4238 33 6 , , PUNCT fis-4238 33 7 two two NUM fis-4238 33 8 distinct distinct ADJ fis-4238 33 9 situations situation NOUN fis-4238 33 10 may may AUX fis-4238 33 11 occur occur VERB fis-4238 33 12 : : PUNCT fis-4238 33 13 the the DET fis-4238 33 14 probabilistic probabilistic ADJ fis-4238 33 15 distribution distribution NOUN fis-4238 33 16 from from ADP fis-4238 33 17 which which PRON fis-4238 33 18 an an DET fis-4238 33 19 uiq uiq NOUN fis-4238 33 20 is be AUX fis-4238 33 21 originated originate VERB fis-4238 33 22 is be AUX fis-4238 33 23 known know VERB fis-4238 33 24 and and CCONJ fis-4238 33 25 its its PRON fis-4238 33 26 parameters parameter NOUN fis-4238 33 27 are be AUX fis-4238 33 28 unknown unknown ADJ fis-4238 33 29 ; ; PUNCT fis-4238 33 30 the the DET fis-4238 33 31 other other ADJ fis-4238 33 32 is be AUX fis-4238 33 33 described describe VERB fis-4238 33 34 by by ADP fis-4238 33 35 the the DET fis-4238 33 36 knowledge knowledge NOUN fis-4238 33 37 of of ADP fis-4238 33 38 the the DET fis-4238 33 39 distribution distribution NOUN fis-4238 33 40 parameters parameter NOUN fis-4238 33 41 of of ADP fis-4238 33 42 the the DET fis-4238 33 43 uiq uiq NOUN fis-4238 33 44 , , PUNCT fis-4238 33 45 but but CCONJ fis-4238 33 46 the the DET fis-4238 33 47 distribution distribution NOUN fis-4238 33 48 type type NOUN fis-4238 33 49 itself itself PRON fis-4238 33 50 is be AUX fis-4238 33 51 unknown unknown ADJ fis-4238 33 52 ( ( PUNCT fis-4238 33 53 situation situation NOUN fis-4238 33 54 analyzed analyze VERB fis-4238 33 55 here here ADV fis-4238 33 56 ) ) PUNCT fis-4238 33 57 . . PUNCT fis-4238 34 1 one one NUM fis-4238 34 2 of of ADP fis-4238 34 3 the the DET fis-4238 34 4 methodologies methodology NOUN fis-4238 34 5 to to PART fis-4238 34 6 determine determine VERB fis-4238 34 7 the the DET fis-4238 34 8 probability probability NOUN fis-4238 34 9 density density NOUN fis-4238 34 10 function function NOUN fis-4238 34 11 ( ( PUNCT fis-4238 34 12 pdf pdf NOUN fis-4238 34 13 ) ) PUNCT fis-4238 34 14 or or CCONJ fis-4238 34 15 cumulative cumulative ADJ fis-4238 34 16 density density NOUN fis-4238 34 17 function function NOUN fis-4238 34 18 ( ( PUNCT fis-4238 34 19 cdf cdf PROPN fis-4238 34 20 ) ) PUNCT fis-4238 34 21 of of ADP fis-4238 34 22 the the DET fis-4238 34 23 aleatory aleatory ADJ fis-4238 34 24 - - PUNCT fis-4238 34 25 type type NOUN fis-4238 34 26 uiqs uiqs ADJ fis-4238 34 27 in in ADP fis-4238 34 28 a a DET fis-4238 34 29 situation situation NOUN fis-4238 34 30 of of ADP fis-4238 34 31 incomplete incomplete ADJ fis-4238 34 32 or or CCONJ fis-4238 34 33 unavailable unavailable ADJ fis-4238 34 34 information information NOUN fis-4238 34 35 involves involve VERB fis-4238 34 36 the the DET fis-4238 34 37 application application NOUN fis-4238 34 38 of of ADP fis-4238 34 39 the the DET fis-4238 34 40 maximum maximum PROPN fis-4238 34 41 entropy entropy PROPN fis-4238 34 42 principle principle NOUN fis-4238 34 43 ( ( PUNCT fis-4238 34 44 mep mep PROPN fis-4238 34 45 ) ) PUNCT fis-4238 34 46 , , PUNCT fis-4238 34 47 which which DET fis-4238 34 48 scope scope NOUN fis-4238 34 49 involves involve VERB fis-4238 34 50 the the DET fis-4238 34 51 selection selection NOUN fis-4238 34 52 of of ADP fis-4238 34 53 the the DET fis-4238 34 54 pdf pdf NOUN fis-4238 34 55 or or CCONJ fis-4238 34 56 cdf cdf PROPN fis-4238 34 57 that that PRON fis-4238 34 58 turns turn VERB fis-4238 34 59 the the DET fis-4238 34 60 shannon shannon PROPN fis-4238 34 61 information information PROPN fis-4238 34 62 entropy entropy VERB fis-4238 34 63 a a DET fis-4238 34 64 maximum maximum NOUN fis-4238 34 65 concomitantly concomitantly ADV fis-4238 34 66 with with ADP fis-4238 34 67 the the DET fis-4238 34 68 fulfillment fulfillment NOUN fis-4238 34 69 of of ADP fis-4238 34 70 previously previously ADV fis-4238 34 71 known know VERB fis-4238 34 72 moments moment NOUN fis-4238 34 73 of of ADP fis-4238 34 74 the the DET fis-4238 34 75 distribution distribution NOUN fis-4238 34 76 . . PUNCT fis-4238 35 1 the the DET fis-4238 35 2 concepts concept NOUN fis-4238 35 3 of of ADP fis-4238 35 4 the the DET fis-4238 35 5 mep mep PROPN fis-4238 35 6 were be AUX fis-4238 35 7 firstly firstly ADV fis-4238 35 8 presented present VERB fis-4238 35 9 by by ADP fis-4238 35 10 [ [ X fis-4238 35 11 15 15 NUM fis-4238 35 12 ] ] PUNCT fis-4238 35 13 , , PUNCT fis-4238 35 14 and and CCONJ fis-4238 35 15 [ [ X fis-4238 35 16 16 16 NUM fis-4238 35 17 ] ] PUNCT fis-4238 35 18 . . PUNCT fis-4238 36 1 additional additional ADJ fis-4238 36 2 contributions contribution NOUN fis-4238 36 3 posteriorly posteriorly ADV fis-4238 36 4 emphasized emphasize VERB fis-4238 36 5 the the DET fis-4238 36 6 application application NOUN fis-4238 36 7 of of ADP fis-4238 36 8 the the DET fis-4238 36 9 principle principle NOUN fis-4238 36 10 , , PUNCT fis-4238 36 11 e.g. e.g. ADV fis-4238 36 12 [ [ X fis-4238 36 13 17 17 NUM fis-4238 36 14 , , PUNCT fis-4238 36 15 18 18 NUM fis-4238 36 16 ] ] PUNCT fis-4238 36 17 . . PUNCT fis-4238 37 1 the the DET fis-4238 37 2 focus focus NOUN fis-4238 37 3 on on ADP fis-4238 37 4 engineering engineering NOUN fis-4238 37 5 problems problem NOUN fis-4238 37 6 was be AUX fis-4238 37 7 also also ADV fis-4238 37 8 established establish VERB fis-4238 37 9 due due ADP fis-4238 37 10 to to ADP fis-4238 37 11 the the DET fis-4238 37 12 need need NOUN fis-4238 37 13 to to PART fis-4238 37 14 represent represent VERB fis-4238 37 15 the the DET fis-4238 37 16 behavior behavior NOUN fis-4238 37 17 of of ADP fis-4238 37 18 the the DET fis-4238 37 19 related related ADJ fis-4238 37 20 variable variable ADJ fis-4238 37 21 data datum NOUN fis-4238 37 22 . . PUNCT fis-4238 38 1 this this PRON fis-4238 38 2 can can AUX fis-4238 38 3 be be AUX fis-4238 38 4 evidenced evidence VERB fis-4238 38 5 in in ADP fis-4238 38 6 the the DET fis-4238 38 7 works work NOUN fis-4238 38 8 [ [ X fis-4238 38 9 19 19 NUM fis-4238 38 10 , , PUNCT fis-4238 38 11 20 20 NUM fis-4238 38 12 ] ] PUNCT fis-4238 38 13 . . PUNCT fis-4238 39 1 this this DET fis-4238 39 2 methodology methodology NOUN fis-4238 39 3 may may AUX fis-4238 39 4 be be AUX fis-4238 39 5 useful useful ADJ fis-4238 39 6 for for ADP fis-4238 39 7 purposes purpose NOUN fis-4238 39 8 of of ADP fis-4238 39 9 fatigue fatigue NOUN fis-4238 39 10 analysis analysis NOUN fis-4238 39 11 , , PUNCT fis-4238 39 12 since since SCONJ fis-4238 39 13 the the DET fis-4238 39 14 statistical statistical ADJ fis-4238 39 15 information information NOUN fis-4238 39 16 of of ADP fis-4238 39 17 the the DET fis-4238 39 18 involved involved ADJ fis-4238 39 19 parameters parameter NOUN fis-4238 39 20 is be AUX fis-4238 39 21 not not PART fis-4238 39 22 often often ADV fis-4238 39 23 available available ADJ fis-4238 39 24 either either ADV fis-4238 39 25 . . PUNCT fis-4238 40 1 for for ADP fis-4238 40 2 life life NOUN fis-4238 40 3 prediction prediction NOUN fis-4238 40 4 and and CCONJ fis-4238 40 5 fatigue fatigue NOUN fis-4238 40 6 damage damage NOUN fis-4238 40 7 estimation estimation NOUN fis-4238 40 8 , , PUNCT fis-4238 40 9 two two NUM fis-4238 40 10 main main ADJ fis-4238 40 11 approaches approach NOUN fis-4238 40 12 are be AUX fis-4238 40 13 available available ADJ fis-4238 40 14 . . PUNCT fis-4238 41 1 the the DET fis-4238 41 2 s s PROPN fis-4238 41 3 - - PUNCT fis-4238 41 4 n n ADV fis-4238 41 5 curve curve NOUN fis-4238 41 6 approach approach NOUN fis-4238 41 7 addresses address VERB fis-4238 41 8 variable variable ADJ fis-4238 41 9 load load NOUN fis-4238 41 10 with with ADP fis-4238 41 11 constant constant ADJ fis-4238 41 12 amplitude amplitude NOUN fis-4238 41 13 , , PUNCT fis-4238 41 14 producing produce VERB fis-4238 41 15 a a DET fis-4238 41 16 constant constant ADJ fis-4238 41 17 amplitude amplitude NOUN fis-4238 41 18 stress stress NOUN fis-4238 41 19 range range NOUN fis-4238 41 20 , , PUNCT fis-4238 41 21 which which PRON fis-4238 41 22 is be AUX fis-4238 41 23 related relate VERB fis-4238 41 24 to to ADP fis-4238 41 25 the the DET fis-4238 41 26 number number NOUN fis-4238 41 27 of of ADP fis-4238 41 28 cycles cycle NOUN fis-4238 41 29 to to ADP fis-4238 41 30 failure failure NOUN fis-4238 41 31 ( ( PUNCT fis-4238 41 32 fatigue fatigue NOUN fis-4238 41 33 life life NOUN fis-4238 41 34 ) ) PUNCT fis-4238 41 35 . . PUNCT fis-4238 42 1 the the DET fis-4238 42 2 capability capability NOUN fis-4238 42 3 of of ADP fis-4238 42 4 this this DET fis-4238 42 5 approach approach NOUN fis-4238 42 6 can can AUX fis-4238 42 7 be be AUX fis-4238 42 8 expanded expand VERB fis-4238 42 9 to to ADP fis-4238 42 10 variable variable ADJ fis-4238 42 11 - - PUNCT fis-4238 42 12 amplitude amplitude NOUN fis-4238 42 13 loadings loading NOUN fis-4238 42 14 too too ADV fis-4238 42 15 by by ADP fis-4238 42 16 the the DET fis-4238 42 17 application application NOUN fis-4238 42 18 of of ADP fis-4238 42 19 palmgren palmgren NOUN fis-4238 42 20 - - PUNCT fis-4238 42 21 miner miner NOUN fis-4238 42 22 linear linear PROPN fis-4238 42 23 cumulative cumulative ADJ fis-4238 42 24 damage damage NOUN fis-4238 42 25 rule rule NOUN fis-4238 42 26 , , PUNCT fis-4238 42 27 for for ADP fis-4238 42 28 example example NOUN fis-4238 42 29 . . PUNCT fis-4238 43 1 the the DET fis-4238 43 2 second second ADJ fis-4238 43 3 approach approach NOUN fis-4238 43 4 is be AUX fis-4238 43 5 based base VERB fis-4238 43 6 on on ADP fis-4238 43 7 fracture fracture ADJ fis-4238 43 8 mechanics mechanic NOUN fis-4238 43 9 principles principle NOUN fis-4238 43 10 ( ( PUNCT fis-4238 43 11 adopted adopt VERB fis-4238 43 12 in in ADP fis-4238 43 13 this this DET fis-4238 43 14 paper paper NOUN fis-4238 43 15 ) ) PUNCT fis-4238 43 16 , , PUNCT fis-4238 43 17 in in ADP fis-4238 43 18 which which PRON fis-4238 43 19 a a DET fis-4238 43 20 mathematical mathematical ADJ fis-4238 43 21 modeling modeling NOUN fis-4238 43 22 of of ADP fis-4238 43 23 the the DET fis-4238 43 24 stress stress NOUN fis-4238 43 25 field field NOUN fis-4238 43 26 in in ADP fis-4238 43 27 the the DET fis-4238 43 28 region region NOUN fis-4238 43 29 of of ADP fis-4238 43 30 the the DET fis-4238 43 31 crack crack NOUN fis-4238 43 32 tip tip NOUN fis-4238 43 33 is be AUX fis-4238 43 34 made make VERB fis-4238 43 35 . . PUNCT fis-4238 44 1 therefore therefore ADV fis-4238 44 2 , , PUNCT fis-4238 44 3 this this DET fis-4238 44 4 paper paper NOUN fis-4238 44 5 deals deal VERB fis-4238 44 6 with with ADP fis-4238 44 7 an an DET fis-4238 44 8 unbiased unbiased ADJ fis-4238 44 9 multi multi ADJ fis-4238 44 10 - - ADJ fis-4238 44 11 level level ADJ fis-4238 44 12 uncertainty uncertainty NOUN fis-4238 44 13 quantification quantification NOUN fis-4238 44 14 related relate VERB fis-4238 44 15 to to ADP fis-4238 44 16 fatigue fatigue NOUN fis-4238 44 17 limit limit NOUN fis-4238 44 18 state state NOUN fis-4238 44 19 of of ADP fis-4238 44 20 a a DET fis-4238 44 21 planar planar ADJ fis-4238 44 22 truss truss NOUN fis-4238 44 23 using use VERB fis-4238 44 24 fracture fracture NOUN fis-4238 44 25 mechanics mechanic NOUN fis-4238 44 26 approach approach NOUN fis-4238 44 27 . . PUNCT fis-4238 45 1 the the DET fis-4238 45 2 uiqs uiqs ADJ fis-4238 45 3 are be AUX fis-4238 45 4 modeled model VERB fis-4238 45 5 as as ADP fis-4238 45 6 aleatory aleatory ADJ fis-4238 45 7 - - PUNCT fis-4238 45 8 type type NOUN fis-4238 45 9 and and CCONJ fis-4238 45 10 other other ADJ fis-4238 45 11 parameters parameter NOUN fis-4238 45 12 involved involve VERB fis-4238 45 13 are be AUX fis-4238 45 14 deterministic deterministic ADJ fis-4238 45 15 , , PUNCT fis-4238 45 16 obtaining obtain VERB fis-4238 45 17 the the DET fis-4238 45 18 fatigue fatigue NOUN fis-4238 45 19 life life NOUN fis-4238 45 20 ( ( PUNCT fis-4238 45 21 srq srq NOUN fis-4238 45 22 ) ) PUNCT fis-4238 45 23 . . PUNCT fis-4238 46 1 in in ADP fis-4238 46 2 accordance accordance NOUN fis-4238 46 3 with with ADP fis-4238 46 4 the the DET fis-4238 46 5 available available ADJ fis-4238 46 6 information information NOUN fis-4238 46 7 about about ADP fis-4238 46 8 the the DET fis-4238 46 9 aleatory aleatory ADJ fis-4238 46 10 - - PUNCT fis-4238 46 11 type type NOUN fis-4238 46 12 uiqs uiqs ADJ fis-4238 46 13 , , PUNCT fis-4238 46 14 the the DET fis-4238 46 15 application application NOUN fis-4238 46 16 of of ADP fis-4238 46 17 the the DET fis-4238 46 18 mep mep PROPN fis-4238 46 19 brings bring VERB fis-4238 46 20 out out ADP fis-4238 46 21 the the DET fis-4238 46 22 most most ADV fis-4238 46 23 unbiased unbiased ADJ fis-4238 46 24 information information NOUN fis-4238 46 25 about about ADP fis-4238 46 26 the the DET fis-4238 46 27 srqs srqs PROPN fis-4238 46 28 . . PUNCT fis-4238 47 1 two two NUM fis-4238 47 2 models model NOUN fis-4238 47 3 are be AUX fis-4238 47 4 conceived conceive VERB fis-4238 47 5 herein herein NOUN fis-4238 47 6 . . PUNCT fis-4238 48 1 in in ADP fis-4238 48 2 the the DET fis-4238 48 3 first first ADJ fis-4238 48 4 , , PUNCT fis-4238 48 5 the the DET fis-4238 48 6 uiqs uiqs ADJ fis-4238 48 7 are be AUX fis-4238 48 8 the the DET fis-4238 48 9 live live ADJ fis-4238 48 10 loads load NOUN fis-4238 48 11 , , PUNCT fis-4238 48 12 initial initial ADJ fis-4238 48 13 crack crack NOUN fis-4238 48 14 semi semi ADJ fis-4238 48 15 - - ADJ fis-4238 48 16 width width ADJ fis-4238 48 17 ( ( PUNCT fis-4238 48 18 major major ADJ fis-4238 48 19 axis axis ADJ fis-4238 48 20 half half ADJ fis-4238 48 21 - - PUNCT fis-4238 48 22 opening opening NOUN fis-4238 48 23 ) ) PUNCT fis-4238 48 24 , , PUNCT fis-4238 48 25 current current ADJ fis-4238 48 26 life life NOUN fis-4238 48 27 , , PUNCT fis-4238 48 28 fracture fracture ADJ fis-4238 48 29 toughness toughness NOUN fis-4238 48 30 of of ADP fis-4238 48 31 the the DET fis-4238 48 32 material material NOUN fis-4238 48 33 employed employ VERB fis-4238 48 34 , , PUNCT fis-4238 48 35 pipe pipe NOUN fis-4238 48 36 outside outside ADJ fis-4238 48 37 diameter diameter NOUN fis-4238 48 38 , , PUNCT fis-4238 48 39 pipe pipe NOUN fis-4238 48 40 thickness thickness NOUN fis-4238 48 41 , , PUNCT fis-4238 48 42 the the DET fis-4238 48 43 intercept intercept NOUN fis-4238 48 44 and and CCONJ fis-4238 48 45 the the DET fis-4238 48 46 slope slope NOUN fis-4238 48 47 of of ADP fis-4238 48 48 the the DET fis-4238 48 49 curve curve NOUN fis-4238 48 50 crack crack NOUN fis-4238 48 51 growth growth NOUN fis-4238 48 52 rate rate NOUN fis-4238 48 53 × × PROPN fis-4238 48 54 stress stress NOUN fis-4238 48 55 intensity intensity NOUN fis-4238 48 56 factor factor NOUN fis-4238 48 57 range range NOUN fis-4238 48 58 . . PUNCT fis-4238 49 1 four four NUM fis-4238 49 2 of of ADP fis-4238 49 3 the the DET fis-4238 49 4 eight eight NUM fis-4238 49 5 factors factor NOUN fis-4238 49 6 mentioned mention VERB fis-4238 49 7 are be AUX fis-4238 49 8 then then ADV fis-4238 49 9 eliminated eliminate VERB fis-4238 49 10 by by ADP fis-4238 49 11 the the DET fis-4238 49 12 application application NOUN fis-4238 49 13 of of ADP fis-4238 49 14 the the DET fis-4238 49 15 elementary elementary ADJ fis-4238 49 16 effects effect NOUN fis-4238 49 17 method method NOUN fis-4238 49 18 ( ( PUNCT fis-4238 49 19 eem eem PROPN fis-4238 49 20 ) ) PUNCT fis-4238 49 21 . . PUNCT fis-4238 50 1 in in ADP fis-4238 50 2 the the DET fis-4238 50 3 second second ADJ fis-4238 50 4 model model NOUN fis-4238 50 5 , , PUNCT fis-4238 50 6 the the DET fis-4238 50 7 first first ADJ fis-4238 50 8 - - PUNCT fis-4238 50 9 order order NOUN fis-4238 50 10 sensitivity sensitivity NOUN fis-4238 50 11 indices index NOUN fis-4238 50 12 are be AUX fis-4238 50 13 ranked rank VERB fis-4238 50 14 in in ADP fis-4238 50 15 descending descend VERB fis-4238 50 16 order order NOUN fis-4238 50 17 for for ADP fis-4238 50 18 the the DET fis-4238 50 19 four four NUM fis-4238 50 20 most most ADV fis-4238 50 21 influencing influence VERB fis-4238 50 22 uiqs uiqs ADJ fis-4238 50 23 considered consider VERB fis-4238 50 24 ( ( PUNCT fis-4238 50 25 the the DET fis-4238 50 26 slope slope NOUN fis-4238 50 27 of of ADP fis-4238 50 28 the the DET fis-4238 50 29 curve curve NOUN fis-4238 50 30 crack crack NOUN fis-4238 50 31 growth growth NOUN fis-4238 50 32 rate rate NOUN fis-4238 50 33 × × PROPN fis-4238 50 34 stress stress NOUN fis-4238 50 35 intensity intensity NOUN fis-4238 50 36 factor factor NOUN fis-4238 50 37 range range NOUN fis-4238 50 38 , , PUNCT fis-4238 50 39 pipe pipe NOUN fis-4238 50 40 outside outside ADP fis-4238 50 41 diameter diameter NOUN fis-4238 50 42 , , PUNCT fis-4238 50 43 pipe pipe NOUN fis-4238 50 44 thickness thickness NOUN fis-4238 50 45 , , PUNCT fis-4238 50 46 and and CCONJ fis-4238 50 47 initial initial ADJ fis-4238 50 48 crack crack NOUN fis-4238 50 49 semi semi ADJ fis-4238 50 50 - - ADJ fis-4238 50 51 width width ADJ fis-4238 50 52 ) ) PUNCT fis-4238 50 53 . . PUNCT fis-4238 51 1 multi multi ADJ fis-4238 51 2 - - ADJ fis-4238 51 3 level level ADJ fis-4238 51 4 deterministic deterministic ADJ fis-4238 51 5 fatigue fatigue NOUN fis-4238 51 6 analysis analysis NOUN fis-4238 51 7 : : PUNCT fis-4238 51 8 fracture fracture NOUN fis-4238 51 9 mechanics mechanic NOUN fis-4238 51 10 approach approach VERB fis-4238 51 11 with with ADP fis-4238 51 12 variable variable ADJ fis-4238 51 13 amplitude amplitude NOUN fis-4238 51 14 loading load VERB fis-4238 51 15 his his PRON fis-4238 51 16 section section NOUN fis-4238 51 17 describes describe VERB fis-4238 51 18 the the DET fis-4238 51 19 deterministic deterministic ADJ fis-4238 51 20 crack crack NOUN fis-4238 51 21 - - PUNCT fis-4238 51 22 growth growth NOUN fis-4238 51 23 model model NOUN fis-4238 51 24 approach approach NOUN fis-4238 51 25 under under ADP fis-4238 51 26 variable variable ADJ fis-4238 51 27 amplitude amplitude NOUN fis-4238 51 28 loading loading NOUN fis-4238 51 29 applied apply VERB fis-4238 51 30 to to ADP fis-4238 51 31 the the DET fis-4238 51 32 structural structural ADJ fis-4238 51 33 pipe pipe NOUN fis-4238 51 34 case case NOUN fis-4238 51 35 . . PUNCT fis-4238 52 1 furthermore furthermore ADV fis-4238 52 2 , , PUNCT fis-4238 52 3 the the DET fis-4238 52 4 possible possible ADJ fis-4238 52 5 limit limit NOUN fis-4238 52 6 states state NOUN fis-4238 52 7 are be AUX fis-4238 52 8 addressed address VERB fis-4238 52 9 with with ADP fis-4238 52 10 the the DET fis-4238 52 11 selection selection NOUN fis-4238 52 12 of of ADP fis-4238 52 13 two two NUM fis-4238 52 14 for for ADP fis-4238 52 15 simultaneous simultaneous ADJ fis-4238 52 16 implementation implementation NOUN fis-4238 52 17 in in ADP fis-4238 52 18 this this DET fis-4238 52 19 work work NOUN fis-4238 52 20 . . PUNCT fis-4238 53 1 deterministic deterministic ADJ fis-4238 53 2 fracture fracture NOUN fis-4238 53 3 mechanics mechanic NOUN fis-4238 53 4 approach approach NOUN fis-4238 53 5 if if SCONJ fis-4238 53 6 a a DET fis-4238 53 7 crack crack NOUN fis-4238 53 8 occurs occur VERB fis-4238 53 9 under under ADP fis-4238 53 10 conditions condition NOUN fis-4238 53 11 in in ADP fis-4238 53 12 which which PRON fis-4238 53 13 the the DET fis-4238 53 14 elastic elastic ADJ fis-4238 53 15 regime regime NOUN fis-4238 53 16 is be AUX fis-4238 53 17 predominant predominant ADJ fis-4238 53 18 , , PUNCT fis-4238 53 19 which which PRON fis-4238 53 20 is be AUX fis-4238 53 21 the the DET fis-4238 53 22 majority majority NOUN fis-4238 53 23 of of ADP fis-4238 53 24 fatigue fatigue NOUN fis-4238 53 25 situations situation NOUN fis-4238 53 26 [ [ X fis-4238 53 27 21 21 NUM fis-4238 53 28 ] ] PUNCT fis-4238 53 29 , , PUNCT fis-4238 53 30 the the DET fis-4238 53 31 linear linear ADJ fis-4238 53 32 elastic elastic ADJ fis-4238 53 33 fracture fracture NOUN fis-4238 53 34 mechanics mechanic NOUN fis-4238 53 35 ( ( PUNCT fis-4238 53 36 lefm lefm PROPN fis-4238 53 37 ) ) PUNCT fis-4238 53 38 can can AUX fis-4238 53 39 be be AUX fis-4238 53 40 applied apply VERB fis-4238 53 41 to to AUX fis-4238 53 42 mathematically mathematically ADV fis-4238 53 43 model model VERB fis-4238 53 44 this this DET fis-4238 53 45 phenomenon phenomenon NOUN fis-4238 53 46 . . PUNCT fis-4238 54 1 this this DET fis-4238 54 2 assumption assumption NOUN fis-4238 54 3 implies imply VERB fis-4238 54 4 a a DET fis-4238 54 5 small small ADJ fis-4238 54 6 plastic plastic NOUN fis-4238 54 7 zone zone NOUN fis-4238 54 8 around around ADP fis-4238 54 9 the the DET fis-4238 54 10 crack crack NOUN fis-4238 54 11 tip tip NOUN fis-4238 54 12 compared compare VERB fis-4238 54 13 to to ADP fis-4238 54 14 the the DET fis-4238 54 15 crack crack NOUN fis-4238 54 16 semi semi ADV fis-4238 54 17 - - ADJ fis-4238 54 18 width width ADJ fis-4238 54 19 . . PUNCT fis-4238 55 1 t t PROPN fis-4238 55 2 r. r. PROPN fis-4238 55 3 b. b. PROPN fis-4238 55 4 p. p. PROPN fis-4238 55 5 nonato nonato PROPN fis-4238 55 6 , , PUNCT fis-4238 55 7 frattura frattura PROPN fis-4238 55 8 ed ed PROPN fis-4238 55 9 integrità integrità PROPN fis-4238 55 10 strutturale strutturale PROPN fis-4238 55 11 , , PUNCT fis-4238 55 12 65 65 NUM fis-4238 55 13 ( ( PUNCT fis-4238 55 14 2023 2023 NUM fis-4238 55 15 ) ) PUNCT fis-4238 55 16 17 17 NUM fis-4238 55 17 - - SYM fis-4238 55 18 37 37 NUM fis-4238 55 19 ; ; PUNCT fis-4238 55 20 doi doi NOUN fis-4238 55 21 : : PUNCT fis-4238 55 22 10.3221 10.3221 NUM fis-4238 55 23 / / SYM fis-4238 55 24 igf igf PROPN fis-4238 55 25 - - NOUN fis-4238 55 26 esis.66.02 esis.66.02 NOUN fis-4238 55 27 19 19 NUM fis-4238 55 28 in in ADP fis-4238 55 29 this this DET fis-4238 55 30 model model NOUN fis-4238 55 31 , , PUNCT fis-4238 55 32 structural structural ADJ fis-4238 55 33 dimensions dimension NOUN fis-4238 55 34 , , PUNCT fis-4238 55 35 crack crack VERB fis-4238 55 36 semi semi ADJ fis-4238 55 37 - - ADJ fis-4238 55 38 width width ADJ fis-4238 55 39 , , PUNCT fis-4238 55 40 and and CCONJ fis-4238 55 41 stress stress NOUN fis-4238 55 42 characterize characterize VERB fis-4238 55 43 the the DET fis-4238 55 44 overall overall ADJ fis-4238 55 45 behavior behavior NOUN fis-4238 55 46 of of ADP fis-4238 55 47 a a DET fis-4238 55 48 cracked crack VERB fis-4238 55 49 body body NOUN fis-4238 55 50 . . PUNCT fis-4238 56 1 the the DET fis-4238 56 2 effects effect NOUN fis-4238 56 3 of of ADP fis-4238 56 4 these these DET fis-4238 56 5 parameters parameter NOUN fis-4238 56 6 define define VERB fis-4238 56 7 the the DET fis-4238 56 8 stress stress NOUN fis-4238 56 9 intensity intensity NOUN fis-4238 56 10 factor factor NOUN fis-4238 56 11 , , PUNCT fis-4238 56 12 k k PROPN fis-4238 56 13 , , PUNCT fis-4238 56 14 applied apply VERB fis-4238 56 15 to to ADP fis-4238 56 16 the the DET fis-4238 56 17 case case NOUN fis-4238 56 18 of of ADP fis-4238 56 19 a a DET fis-4238 56 20 structural structural ADJ fis-4238 56 21 pipe pipe NOUN fis-4238 56 22 , , PUNCT fis-4238 56 23 given give VERB fis-4238 56 24 by by ADP fis-4238 56 25 eqn eqn NOUN fis-4238 56 26 . . PROPN fis-4238 57 1 1 1 NUM fis-4238 57 2 , , PUNCT fis-4238 57 3   NOUN fis-4238 57 4   PROPN fis-4238 57 5   VERB fis-4238 57 6 , , PUNCT fis-4238 57 7 , , PUNCT fis-4238 57 8         SPACE fis-4238 57 9 k k PROPN fis-4238 57 10 y y PROPN fis-4238 58 1 a a DET fis-4238 58 2 t t NOUN fis-4238 59 1 d d X fis-4238 59 2 s s PROPN fis-4238 59 3 a a DET fis-4238 59 4 ( ( PUNCT fis-4238 59 5 1 1 NUM fis-4238 59 6 ) ) PUNCT fis-4238 59 7 where where SCONJ fis-4238 59 8 a a PRON fis-4238 59 9 is be AUX fis-4238 59 10 the the DET fis-4238 59 11 current current ADJ fis-4238 59 12 crack crack NOUN fis-4238 59 13 semi semi ADV fis-4238 59 14 - - ADJ fis-4238 59 15 width width ADJ fis-4238 59 16 ( ( PUNCT fis-4238 59 17 see see VERB fis-4238 59 18 fig fig NOUN fis-4238 59 19 . . PUNCT fis-4238 60 1 1 1 NUM fis-4238 60 2 ) ) PUNCT fis-4238 60 3 , , PUNCT fis-4238 60 4 s s VERB fis-4238 60 5 is be AUX fis-4238 60 6 the the DET fis-4238 60 7 stress stress NOUN fis-4238 60 8 acting act VERB fis-4238 60 9 on on ADP fis-4238 60 10 the the DET fis-4238 60 11 body body NOUN fis-4238 60 12 , , PUNCT fis-4238 60 13 and and CCONJ fis-4238 60 14   PROPN fis-4238 60 15   PROPN fis-4238 60 16 , , PUNCT fis-4238 60 17 , , PUNCT fis-4238 60 18 y y PROPN fis-4238 61 1 a a PROPN fis-4238 61 2 t t NOUN fis-4238 61 3 d d NOUN fis-4238 61 4 is be AUX fis-4238 61 5 the the DET fis-4238 61 6 geometrical geometrical ADJ fis-4238 61 7 function function NOUN fis-4238 61 8 depending depend VERB fis-4238 61 9 on on ADP fis-4238 61 10 the the DET fis-4238 61 11 dimensions dimension NOUN fis-4238 61 12 of of ADP fis-4238 61 13 the the DET fis-4238 61 14 body body NOUN fis-4238 61 15 ( ( PUNCT fis-4238 61 16 a a DET fis-4238 61 17 , , PUNCT fis-4238 61 18 pipe pipe NOUN fis-4238 61 19 thickness thickness NOUN fis-4238 61 20 ( ( PUNCT fis-4238 61 21 t t NOUN fis-4238 61 22 ) ) PUNCT fis-4238 61 23 , , PUNCT fis-4238 61 24 and and CCONJ fis-4238 61 25 pipe pipe VERB fis-4238 61 26 outside outside ADJ fis-4238 61 27 diameter diameter NOUN fis-4238 61 28 ( ( PUNCT fis-4238 61 29 d d NOUN fis-4238 61 30 ) ) PUNCT fis-4238 61 31 ) ) PUNCT fis-4238 61 32 , , PUNCT fis-4238 61 33 which which PRON fis-4238 61 34 from from ADP fis-4238 61 35 now now ADV fis-4238 61 36 on on ADV fis-4238 61 37 will will AUX fis-4238 61 38 be be AUX fis-4238 61 39 represented represent VERB fis-4238 61 40 by by ADP fis-4238 61 41 y y PROPN fis-4238 61 42 , , PUNCT fis-4238 61 43 for for ADP fis-4238 61 44 simplification simplification NOUN fis-4238 61 45 purposes purpose NOUN fis-4238 61 46 . . PUNCT fis-4238 62 1 fig fig NOUN fis-4238 62 2 . . PUNCT fis-4238 63 1 1 1 NUM fis-4238 63 2 shows show VERB fis-4238 63 3 the the DET fis-4238 63 4 pipe pipe NOUN fis-4238 63 5 cross cross NOUN fis-4238 63 6 - - NOUN fis-4238 63 7 section section NOUN fis-4238 63 8 corresponding correspond VERB fis-4238 63 9 to to ADP fis-4238 63 10 the the DET fis-4238 63 11 cutting cut VERB fis-4238 63 12 plane plane NOUN fis-4238 63 13 with with ADP fis-4238 63 14 the the DET fis-4238 63 15 largest large ADJ fis-4238 63 16 crack crack NOUN fis-4238 63 17 dimensions dimension NOUN fis-4238 63 18 , , PUNCT fis-4238 63 19 in in ADP fis-4238 63 20 which which PRON fis-4238 63 21 d d NOUN fis-4238 63 22 , , PUNCT fis-4238 63 23 t t PROPN fis-4238 63 24 , , PUNCT fis-4238 63 25 crack crack VERB fis-4238 63 26 width width NOUN fis-4238 63 27 ( ( PUNCT fis-4238 63 28 2a 2a NUM fis-4238 63 29 ) ) PUNCT fis-4238 63 30 , , PUNCT fis-4238 63 31 crack crack VERB fis-4238 63 32 depth depth NOUN fis-4238 63 33 ( ( PUNCT fis-4238 63 34 b b NOUN fis-4238 63 35 ) ) PUNCT fis-4238 63 36 , , PUNCT fis-4238 63 37 and and CCONJ fis-4238 63 38 point point NOUN fis-4238 63 39 ( ( PUNCT fis-4238 63 40 p p NOUN fis-4238 63 41 ) ) PUNCT fis-4238 63 42 are be AUX fis-4238 63 43 represented represent VERB fis-4238 63 44 . . PUNCT fis-4238 64 1 figure figure VERB fis-4238 64 2 1 1 NUM fis-4238 64 3 : : PUNCT fis-4238 64 4 dimensions dimension NOUN fis-4238 64 5 of of ADP fis-4238 64 6 a a DET fis-4238 64 7 circumferential circumferential ADJ fis-4238 64 8 internal internal ADJ fis-4238 64 9 surface surface NOUN fis-4238 64 10 crack crack NOUN fis-4238 64 11 at at ADP fis-4238 64 12 the the DET fis-4238 64 13 pipe pipe NOUN fis-4238 64 14 cross cross NOUN fis-4238 64 15 - - NOUN fis-4238 64 16 section section NOUN fis-4238 64 17 with with ADP fis-4238 64 18 the the DET fis-4238 64 19 largest large ADJ fis-4238 64 20 crack crack NOUN fis-4238 64 21 dimensions dimension NOUN fis-4238 64 22 . . PUNCT fis-4238 65 1 in in ADP fis-4238 65 2 other other ADJ fis-4238 65 3 words word NOUN fis-4238 65 4 , , PUNCT fis-4238 65 5 the the DET fis-4238 65 6 elastic elastic ADJ fis-4238 65 7 - - PUNCT fis-4238 65 8 stress stress NOUN fis-4238 65 9 field field NOUN fis-4238 65 10 magnitude magnitude NOUN fis-4238 65 11 can can AUX fis-4238 65 12 be be AUX fis-4238 65 13 represented represent VERB fis-4238 65 14 by by ADP fis-4238 65 15 the the DET fis-4238 65 16 parameter parameter NOUN fis-4238 65 17 k k PROPN fis-4238 65 18 ( ( PUNCT fis-4238 65 19 ik ik PROPN fis-4238 65 20 , , PUNCT fis-4238 65 21 iik iik INTJ fis-4238 65 22 , , PUNCT fis-4238 65 23 and and CCONJ fis-4238 65 24 iiik iiik VERB fis-4238 65 25 , , PUNCT fis-4238 65 26 which which PRON fis-4238 65 27 correspond correspond VERB fis-4238 65 28 to to ADP fis-4238 65 29 fracture fracture PROPN fis-4238 65 30 modes mode NOUN fis-4238 65 31 i i PRON fis-4238 65 32 , , PUNCT fis-4238 65 33 ii ii PROPN fis-4238 65 34 , , PUNCT fis-4238 65 35 and and CCONJ fis-4238 65 36 iii iii NOUN fis-4238 65 37 , , PUNCT fis-4238 65 38 respectively respectively ADV fis-4238 65 39 ) ) PUNCT fis-4238 65 40 . . PUNCT fis-4238 66 1 when when SCONJ fis-4238 66 2 k k PROPN fis-4238 66 3 reaches reach VERB fis-4238 66 4 a a DET fis-4238 66 5 threshold threshold NOUN fis-4238 66 6 value value NOUN fis-4238 66 7 known know VERB fis-4238 66 8 as as ADP fis-4238 66 9 fracture fracture ADJ fis-4238 66 10 toughness toughness NOUN fis-4238 66 11 ( ( PUNCT fis-4238 66 12 which which PRON fis-4238 66 13 depends depend VERB fis-4238 66 14 on on ADP fis-4238 66 15 constraint constraint NOUN fis-4238 66 16 level level NOUN fis-4238 66 17 , , PUNCT fis-4238 66 18 loading loading NOUN fis-4238 66 19 rate rate NOUN fis-4238 66 20 , , PUNCT fis-4238 66 21 and and CCONJ fis-4238 66 22 service service NOUN fis-4238 66 23 temperature temperature NOUN fis-4238 66 24 ) ) PUNCT fis-4238 66 25 , , PUNCT fis-4238 66 26 theoretically theoretically ADV fis-4238 66 27 the the DET fis-4238 66 28 failure failure NOUN fis-4238 66 29 occurs occur VERB fis-4238 66 30 . . PUNCT fis-4238 67 1 for for ADP fis-4238 67 2 example example NOUN fis-4238 67 3 , , PUNCT fis-4238 67 4 if if SCONJ fis-4238 67 5 the the DET fis-4238 67 6 situation situation NOUN fis-4238 67 7 involves involve VERB fis-4238 67 8 the the DET fis-4238 67 9 mode mode NOUN fis-4238 67 10 i i PRON fis-4238 67 11 , , PUNCT fis-4238 67 12 ik ik PROPN fis-4238 67 13 has have VERB fis-4238 67 14 to to PART fis-4238 67 15 be be AUX fis-4238 67 16 compared compare VERB fis-4238 67 17 with with ADP fis-4238 67 18 cik cik PROPN fis-4238 67 19 ( ( PUNCT fis-4238 67 20 mode mode NOUN fis-4238 67 21 i i PROPN fis-4238 67 22 fracture fracture NOUN fis-4238 67 23 toughness toughness NOUN fis-4238 67 24 ) ) PUNCT fis-4238 67 25 . . PUNCT fis-4238 68 1 thenceforth thenceforth NOUN fis-4238 68 2 , , PUNCT fis-4238 68 3 the the DET fis-4238 68 4 governing govern VERB fis-4238 68 5 crack crack NOUN fis-4238 68 6 - - PUNCT fis-4238 68 7 growth growth NOUN fis-4238 68 8 model model NOUN fis-4238 68 9 of of ADP fis-4238 68 10 the the DET fis-4238 68 11 crack crack NOUN fis-4238 68 12 propagation propagation NOUN fis-4238 68 13 rate rate NOUN fis-4238 68 14 , , PUNCT fis-4238 68 15 also also ADV fis-4238 68 16 known know VERB fis-4238 68 17 as as ADP fis-4238 68 18 paris paris PROPN fis-4238 68 19 - - PUNCT fis-4238 68 20 erdogan erdogan ADJ fis-4238 68 21 law law NOUN fis-4238 68 22 , , PUNCT fis-4238 68 23 can can AUX fis-4238 68 24 be be AUX fis-4238 68 25 described describe VERB fis-4238 68 26 by by ADP fis-4238 68 27 eqn eqn PROPN fis-4238 68 28 . . PROPN fis-4238 69 1 2 2 NUM fis-4238 69 2 , , PUNCT fis-4238 69 3   PROPN fis-4238 69 4   PUNCT fis-4238 69 5     SPACE fis-4238 70 1 m m VERB fis-4238 71 1 r r NOUN fis-4238 71 2 da da NOUN fis-4238 71 3 c c NOUN fis-4238 71 4 k k PROPN fis-4238 71 5 dn dn PROPN fis-4238 71 6 ( ( PUNCT fis-4238 71 7 2 2 NUM fis-4238 71 8 ) ) PUNCT fis-4238 71 9 in in ADP fis-4238 71 10 which which PRON fis-4238 71 11 c c NOUN fis-4238 71 12 is be AUX fis-4238 71 13 the the DET fis-4238 71 14 intercept intercept NOUN fis-4238 71 15 constant constant ADJ fis-4238 71 16 and and CCONJ fis-4238 71 17 m m VERB fis-4238 71 18 is be AUX fis-4238 71 19 the the DET fis-4238 71 20 slope slope NOUN fis-4238 71 21 of of ADP fis-4238 71 22 the the DET fis-4238 71 23 curve curve NOUN fis-4238 71 24   NOUN fis-4238 71 25 / / ADP fis-4238 71 26         SPACE fis-4238 71 27 rda rda NOUN fis-4238 71 28 dn dn NOUN fis-4238 71 29 k k PROPN fis-4238 71 30 on on ADP fis-4238 71 31 a a DET fis-4238 71 32 log log NOUN fis-4238 71 33 - - PUNCT fis-4238 71 34 log log NOUN fis-4238 71 35 scale scale NOUN fis-4238 71 36 , , PUNCT fis-4238 71 37 which which PRON fis-4238 71 38 are be AUX fis-4238 71 39 experimentally experimentally ADV fis-4238 71 40 obtained obtain VERB fis-4238 71 41 as as ADP fis-4238 71 42 a a DET fis-4238 71 43 function function NOUN fis-4238 71 44 of of ADP fis-4238 71 45 frequency frequency NOUN fis-4238 71 46 , , PUNCT fis-4238 71 47 environment environment NOUN fis-4238 71 48 , , PUNCT fis-4238 71 49 stress stress NOUN fis-4238 71 50 ratio ratio NOUN fis-4238 71 51 , , PUNCT fis-4238 71 52 temperature temperature NOUN fis-4238 71 53 , , PUNCT fis-4238 71 54 and and CCONJ fis-4238 71 55 material material NOUN fis-4238 71 56 [ [ X fis-4238 71 57 22 22 NUM fis-4238 71 58 ] ] PUNCT fis-4238 71 59 , , PUNCT fis-4238 71 60 and and CCONJ fis-4238 71 61 n n PRON fis-4238 71 62 is be AUX fis-4238 71 63 the the DET fis-4238 71 64 fatigue fatigue NOUN fis-4238 71 65 life life NOUN fis-4238 71 66 ( ( PUNCT fis-4238 71 67 number number NOUN fis-4238 71 68 of of ADP fis-4238 71 69 stress stress NOUN fis-4238 71 70 cycles cycle NOUN fis-4238 71 71 ) ) PUNCT fis-4238 71 72 . . PUNCT fis-4238 72 1 eqn eqn NOUN fis-4238 72 2 . . PUNCT fis-4238 73 1 2 2 NUM fis-4238 73 2 is be AUX fis-4238 73 3 a a DET fis-4238 73 4 function function NOUN fis-4238 73 5 of of ADP fis-4238 73 6 stress stress NOUN fis-4238 73 7 intensity intensity NOUN fis-4238 73 8 factor factor NOUN fis-4238 73 9 range range NOUN fis-4238 73 10 , , PUNCT fis-4238 73 11 rk rk PRON fis-4238 73 12 , , PUNCT fis-4238 73 13 which which PRON fis-4238 73 14 is be AUX fis-4238 73 15 simply simply ADV fis-4238 73 16 given give VERB fis-4238 73 17 by by ADP fis-4238 73 18   PROPN fis-4238 73 19 r r PROPN fis-4238 73 20 max max PROPN fis-4238 73 21 mink mink PROPN fis-4238 73 22 k k PROPN fis-4238 73 23 k k PROPN fis-4238 73 24 , , PUNCT fis-4238 73 25 where where SCONJ fis-4238 73 26 maxk maxk NOUN fis-4238 73 27 and and CCONJ fis-4238 73 28 mink mink NOUN fis-4238 73 29 are be AUX fis-4238 73 30 the the DET fis-4238 73 31 maximum maximum ADJ fis-4238 73 32 and and CCONJ fis-4238 73 33 minimum minimum ADJ fis-4238 73 34 stress stress NOUN fis-4238 73 35 intensity intensity NOUN fis-4238 73 36 factors factor NOUN fis-4238 73 37 , , PUNCT fis-4238 73 38 respectively respectively ADV fis-4238 73 39 . . PUNCT fis-4238 74 1 eqn eqn NOUN fis-4238 74 2 . . PROPN fis-4238 75 1 1 1 NUM fis-4238 75 2 can can AUX fis-4238 75 3 be be AUX fis-4238 75 4 transformed transform VERB fis-4238 75 5 into into ADP fis-4238 75 6 eqn eqn NOUN fis-4238 75 7 . . PUNCT fis-4238 76 1 3 3 NUM fis-4238 76 2 to to PART fis-4238 76 3 express express VERB fis-4238 76 4 the the DET fis-4238 76 5 relation relation NOUN fis-4238 76 6 between between ADP fis-4238 76 7 the the DET fis-4238 76 8 ranges range NOUN fis-4238 76 9 of of ADP fis-4238 76 10 both both DET fis-4238 76 11 stress stress NOUN fis-4238 76 12 intensity intensity NOUN fis-4238 76 13 factor factor NOUN fis-4238 76 14 and and CCONJ fis-4238 76 15 applied apply VERB fis-4238 76 16 stress stress NOUN fis-4238 76 17 : : PUNCT fis-4238 76 18   VERB fis-4238 76 19         SPACE fis-4238 76 20 r r NOUN fis-4238 77 1 rk rk NOUN fis-4238 78 1 y y PROPN fis-4238 78 2 s s PROPN fis-4238 78 3 a a DET fis-4238 78 4 ( ( PUNCT fis-4238 78 5 3 3 NUM fis-4238 78 6 ) ) PUNCT fis-4238 78 7 in in ADP fis-4238 78 8 which which PRON fis-4238 78 9 rs rs ADV fis-4238 78 10 is be AUX fis-4238 78 11 the the DET fis-4238 78 12 far far ADJ fis-4238 78 13 field field NOUN fis-4238 78 14 stress stress NOUN fis-4238 78 15 range range NOUN fis-4238 78 16 with with ADP fis-4238 78 17 both both CCONJ fis-4238 78 18 variable variable ADJ fis-4238 78 19 amplitude amplitude NOUN fis-4238 78 20 and and CCONJ fis-4238 78 21 frequency frequency NOUN fis-4238 78 22 . . PUNCT fis-4238 79 1 as as SCONJ fis-4238 79 2 the the DET fis-4238 79 3 crack crack NOUN fis-4238 79 4 does do AUX fis-4238 79 5 not not PART fis-4238 79 6 propagate propagate VERB fis-4238 79 7 below below ADP fis-4238 79 8 a a DET fis-4238 79 9 threshold threshold NOUN fis-4238 79 10 value value NOUN fis-4238 79 11 of of ADP fis-4238 79 12 stress stress NOUN fis-4238 79 13 intensity intensity NOUN fis-4238 79 14 factor factor NOUN fis-4238 79 15 range range NOUN fis-4238 79 16 ( ( PUNCT fis-4238 79 17 rthk rthk NOUN fis-4238 79 18 ) ) PUNCT fis-4238 79 19 , , PUNCT fis-4238 79 20 eqn eqn PROPN fis-4238 79 21 . . PROPN fis-4238 79 22 2 2 NUM fis-4238 79 23 can can AUX fis-4238 79 24 now now ADV fis-4238 79 25 be be AUX fis-4238 79 26 rewritten rewrite VERB fis-4238 79 27 in in ADP fis-4238 79 28 terms term NOUN fis-4238 79 29 of of ADP fis-4238 79 30 eqn eqn NOUN fis-4238 79 31 . . PUNCT fis-4238 80 1 4 4 NUM fis-4238 80 2 to to PART fis-4238 80 3 discern discern VERB fis-4238 80 4 between between ADP fis-4238 80 5 the the DET fis-4238 80 6 stress stress NOUN fis-4238 80 7 cycles cycle NOUN fis-4238 80 8 that that PRON fis-4238 80 9 effectively effectively ADV fis-4238 80 10 contribute contribute VERB fis-4238 80 11 to to PART fis-4238 80 12 crack crack VERB fis-4238 80 13 propagation propagation NOUN fis-4238 80 14 and and CCONJ fis-4238 80 15 those those PRON fis-4238 80 16 that that PRON fis-4238 80 17 does do VERB fis-4238 80 18 not not PART fis-4238 80 19 , , PUNCT fis-4238 80 20 i.e. i.e. X fis-4238 80 21 r. r. PROPN fis-4238 80 22 b. b. PROPN fis-4238 80 23 p. p. PROPN fis-4238 80 24 nonato nonato PROPN fis-4238 80 25 , , PUNCT fis-4238 80 26 frattura frattura PROPN fis-4238 80 27 ed ed PROPN fis-4238 80 28 integrità integrità PROPN fis-4238 80 29 strutturale strutturale PROPN fis-4238 80 30 , , PUNCT fis-4238 80 31 65 65 NUM fis-4238 80 32 ( ( PUNCT fis-4238 80 33 2023 2023 NUM fis-4238 80 34 ) ) PUNCT fis-4238 80 35 17 17 NUM fis-4238 80 36 - - SYM fis-4238 80 37 37 37 NUM fis-4238 80 38 ; ; PUNCT fis-4238 80 39 doi doi NOUN fis-4238 80 40 : : PUNCT fis-4238 80 41 10.3221 10.3221 NUM fis-4238 80 42 / / SYM fis-4238 80 43 igf igf PROPN fis-4238 80 44 - - ADJ fis-4238 80 45 esis.66.02 esis.66.02 PROPN fis-4238 80 46 20 20 NUM fis-4238 80 47   NOUN fis-4238 80 48   PROPN fis-4238 80 49   NOUN fis-4238 80 50   NUM fis-4238 80 51   NOUN fis-4238 80 52 0 0 NUM fis-4238 80 53 , , PUNCT fis-4238 80 54               SPACE fis-4238 80 55 , , PUNCT fis-4238 80 56       SPACE fis-4238 81 1 r r NOUN fis-4238 81 2 rth rth NOUN fis-4238 81 3 m m PROPN fis-4238 81 4 r r NOUN fis-4238 81 5 if if SCONJ fis-4238 81 6 k k PROPN fis-4238 81 7 kda kda NOUN fis-4238 82 1 dn dn PROPN fis-4238 82 2 c c PROPN fis-4238 82 3 k k PROPN fis-4238 82 4 otherwise otherwise ADV fis-4238 82 5 ( ( PUNCT fis-4238 82 6 4 4 X fis-4238 82 7 ) ) PUNCT fis-4238 82 8 in in ADP fis-4238 82 9 other other ADJ fis-4238 82 10 words word NOUN fis-4238 82 11 , , PUNCT fis-4238 82 12 to to PART fis-4238 82 13 account account VERB fis-4238 82 14 only only ADV fis-4238 82 15 for for ADP fis-4238 82 16 the the DET fis-4238 82 17 effective effective ADJ fis-4238 82 18 stress stress NOUN fis-4238 82 19 cycles cycle NOUN fis-4238 82 20 , , PUNCT fis-4238 82 21 we we PRON fis-4238 82 22 will will AUX fis-4238 82 23 adopt adopt VERB fis-4238 82 24 the the DET fis-4238 82 25 strategy strategy NOUN fis-4238 82 26 applied apply VERB fis-4238 82 27 in in ADP fis-4238 82 28 [ [ X fis-4238 82 29 23 23 NUM fis-4238 82 30 ] ] PUNCT fis-4238 82 31 , , PUNCT fis-4238 82 32 which which PRON fis-4238 82 33 discards discard VERB fis-4238 82 34 the the DET fis-4238 82 35 non non NOUN fis-4238 82 36 - - NOUN fis-4238 82 37 contributors contributor NOUN fis-4238 82 38 ’ ' PUNCT fis-4238 82 39 stress stress NOUN fis-4238 82 40 cycles cycle NOUN fis-4238 82 41 from from ADP fis-4238 82 42 the the DET fis-4238 82 43 analysis analysis NOUN fis-4238 82 44 . . PUNCT fis-4238 83 1 therefore therefore ADV fis-4238 83 2 , , PUNCT fis-4238 83 3 the the DET fis-4238 83 4 threshold threshold NOUN fis-4238 83 5 of of ADP fis-4238 83 6 the the DET fis-4238 83 7 stress stress NOUN fis-4238 83 8 range range NOUN fis-4238 83 9 , , PUNCT fis-4238 83 10 rths rth NOUN fis-4238 83 11 , , PUNCT fis-4238 83 12 is be AUX fis-4238 83 13 given give VERB fis-4238 83 14 by by ADP fis-4238 83 15 eqn eqn NOUN fis-4238 83 16 . . PUNCT fis-4238 84 1 5 5 NUM fis-4238 84 2 : : PUNCT fis-4238 84 3   ADJ fis-4238 84 4   PROPN fis-4238 84 5         SPACE fis-4238 84 6 rth rth PROPN fis-4238 84 7 rth rth PROPN fis-4238 84 8 k k PROPN fis-4238 84 9 s s PROPN fis-4238 84 10 y y PROPN fis-4238 84 11 a a X fis-4238 84 12 ( ( PUNCT fis-4238 84 13 5 5 NUM fis-4238 84 14 ) ) PUNCT fis-4238 84 15 effective effective ADJ fis-4238 84 16 stress stress NOUN fis-4238 84 17 cycles cycle NOUN fis-4238 84 18 and and CCONJ fis-4238 84 19 fatigue fatigue NOUN fis-4238 84 20 limit limit NOUN fis-4238 84 21 state state NOUN fis-4238 84 22 the the DET fis-4238 84 23 concept concept NOUN fis-4238 84 24 of of ADP fis-4238 84 25 effective effective ADJ fis-4238 84 26 stress stress NOUN fis-4238 84 27 range range NOUN fis-4238 84 28 takes take VERB fis-4238 84 29 into into ADP fis-4238 84 30 account account NOUN fis-4238 84 31 only only ADV fis-4238 84 32 the the DET fis-4238 84 33 stress stress NOUN fis-4238 84 34 ranges range VERB fis-4238 84 35 equal equal ADJ fis-4238 84 36 to to ADP fis-4238 84 37 or or CCONJ fis-4238 84 38 greater great ADJ fis-4238 84 39 than than ADP fis-4238 84 40 the the DET fis-4238 84 41 threshold threshold NOUN fis-4238 84 42 value value NOUN fis-4238 84 43 , , PUNCT fis-4238 84 44 corresponding correspond VERB fis-4238 84 45 to to ADP fis-4238 84 46 those those PRON fis-4238 84 47 which which PRON fis-4238 84 48 effectively effectively ADV fis-4238 84 49 contribute contribute VERB fis-4238 84 50 to to ADP fis-4238 84 51 the the DET fis-4238 84 52 crack crack NOUN fis-4238 84 53 growth growth NOUN fis-4238 84 54 process process NOUN fis-4238 84 55 . . PUNCT fis-4238 85 1 eqn eqn NOUN fis-4238 85 2 . . PROPN fis-4238 86 1 6 6 NUM fis-4238 86 2 redefines redefine VERB fis-4238 86 3 the the DET fis-4238 86 4 stress stress NOUN fis-4238 86 5 range range NOUN fis-4238 86 6 , , PUNCT fis-4238 86 7 rs rs INTJ fis-4238 86 8 , , PUNCT fis-4238 86 9 in in ADP fis-4238 86 10 terms term NOUN fis-4238 86 11 of of ADP fis-4238 86 12 the the DET fis-4238 86 13 effective effective ADJ fis-4238 86 14 stress stress NOUN fis-4238 86 15 range range NOUN fis-4238 86 16 , , PUNCT fis-4238 86 17 res re NOUN fis-4238 86 18 : : PUNCT fis-4238 86 19   NOUN fis-4238 87 1   SYM fis-4238 87 2   NOUN fis-4238 87 3   SYM fis-4238 87 4   NOUN fis-4238 87 5   PROPN fis-4238 87 6   NUM fis-4238 87 7   PUNCT fis-4238 87 8   NOUN fis-4238 87 9 : : PUNCT fis-4238 87 10     SPACE fis-4238 87 11 rmax rmax ADJ fis-4238 87 12 r r NOUN fis-4238 87 13 rth rth NOUN fis-4238 87 14 rmax rmax PROPN fis-4238 87 15 r r PROPN fis-4238 87 16 rth rth PROPN fis-4238 87 17 s s PART fis-4238 87 18 m m VERB fis-4238 87 19 r r NOUN fis-4238 87 20 s s NOUN fis-4238 87 21 r r NOUN fis-4238 87 22 rs rs NOUN fis-4238 87 23 r r NOUN fis-4238 87 24 re re NOUN fis-4238 87 25 s s NOUN fis-4238 87 26 s s NOUN fis-4238 87 27 r r NOUN fis-4238 87 28 rs rs NOUN fis-4238 87 29 s s NOUN fis-4238 87 30 f f X fis-4238 87 31 s s X fis-4238 87 32 ds ds NOUN fis-4238 87 33 s s X fis-4238 87 34 s s X fis-4238 87 35 f f X fis-4238 87 36 s s X fis-4238 87 37 ds ds X fis-4238 87 38 ( ( PUNCT fis-4238 87 39 6 6 NUM fis-4238 87 40 ) ) PUNCT fis-4238 87 41 where where SCONJ fis-4238 87 42 rsf rsf NOUN fis-4238 87 43 is be AUX fis-4238 87 44 the the DET fis-4238 87 45 stress stress ADJ fis-4238 87 46 range range NOUN fis-4238 87 47 probability probability NOUN fis-4238 87 48 distribution distribution NOUN fis-4238 87 49 , , PUNCT fis-4238 87 50 and and CCONJ fis-4238 87 51 rmaxs rmax NOUN fis-4238 87 52 is be AUX fis-4238 87 53 the the DET fis-4238 87 54 maximum maximum ADJ fis-4238 87 55 value value NOUN fis-4238 87 56 of of ADP fis-4238 87 57 the the DET fis-4238 87 58 stress stress NOUN fis-4238 87 59 range range NOUN fis-4238 87 60 , , PUNCT fis-4238 87 61 such such ADJ fis-4238 87 62 that that SCONJ fis-4238 87 63 the the DET fis-4238 87 64 fatigue fatigue NOUN fis-4238 87 65 life life NOUN fis-4238 87 66 n n PROPN fis-4238 87 67 ( ( PUNCT fis-4238 87 68 eqn eqn NOUN fis-4238 87 69 . . PROPN fis-4238 87 70 7 7 NUM fis-4238 87 71 ) ) PUNCT fis-4238 87 72 can can AUX fis-4238 87 73 be be AUX fis-4238 87 74 redefined redefine VERB fis-4238 87 75 in in ADP fis-4238 87 76 terms term NOUN fis-4238 87 77 of of ADP fis-4238 87 78 the the DET fis-4238 87 79 effective effective ADJ fis-4238 87 80 fatigue fatigue NOUN fis-4238 87 81 life life NOUN fis-4238 87 82 en en ADV fis-4238 87 83 and and CCONJ fis-4238 87 84 expressed express VERB fis-4238 87 85 by by ADP fis-4238 87 86 implementing implement VERB fis-4238 87 87 this this DET fis-4238 87 88 concept concept NOUN fis-4238 87 89 to to ADP fis-4238 87 90 the the DET fis-4238 87 91 non non ADJ fis-4238 87 92 - - ADJ fis-4238 87 93 null null ADJ fis-4238 87 94 part part NOUN fis-4238 87 95 of of ADP fis-4238 87 96 eqn eqn PROPN fis-4238 87 97 . . PUNCT fis-4238 88 1 4 4 NUM fis-4238 88 2 , , PUNCT fis-4238 88 3 yielding yield VERB fis-4238 88 4 eqn eqn NOUN fis-4238 88 5 . . PUNCT fis-4238 89 1 7 7 NUM fis-4238 89 2 : : PUNCT fis-4238 89 3   NOUN fis-4238 89 4   SYM fis-4238 89 5   NOUN fis-4238 89 6   NOUN fis-4238 90 1   NUM fis-4238 91 1   NUM fis-4238 91 2   PROPN fis-4238 91 3   PUNCT fis-4238 91 4 0 0 NUM fis-4238 91 5 0 0 NUM fis-4238 92 1 : : PUNCT fis-4238 92 2                     SPACE fis-4238 92 3 f f X fis-4238 92 4 fa fa INTJ fis-4238 92 5 a a DET fis-4238 92 6 e e X fis-4238 92 7 m m PROPN fis-4238 92 8 ma ma PROPN fis-4238 92 9 a a DET fis-4238 92 10 r r NOUN fis-4238 92 11 r r NOUN fis-4238 92 12 da da PROPN fis-4238 92 13 da da PROPN fis-4238 92 14 n n CCONJ fis-4238 92 15 n n NOUN fis-4238 92 16 c c NOUN fis-4238 92 17 k k PROPN fis-4238 92 18 c c PROPN fis-4238 92 19 y y PROPN fis-4238 92 20 s s PROPN fis-4238 92 21 a a DET fis-4238 92 22 ( ( PUNCT fis-4238 92 23 7 7 NUM fis-4238 92 24 ) ) PUNCT fis-4238 92 25 where where SCONJ fis-4238 92 26 0a 0a PROPN fis-4238 92 27 is be AUX fis-4238 92 28 the the DET fis-4238 92 29 initial initial ADJ fis-4238 92 30 crack crack NOUN fis-4238 92 31 semi semi ADJ fis-4238 92 32 - - ADJ fis-4238 92 33 width width ADJ fis-4238 92 34 , , PUNCT fis-4238 92 35 fa fa PROPN fis-4238 92 36 is be AUX fis-4238 92 37 the the DET fis-4238 92 38 final final ADJ fis-4238 92 39 crack crack NOUN fis-4238 92 40 semi semi NOUN fis-4238 92 41 - - ADJ fis-4238 92 42 width width ADJ fis-4238 92 43 , , PUNCT fis-4238 92 44 and and CCONJ fis-4238 92 45 n n PRON fis-4238 92 46 is be AUX fis-4238 92 47 updated update VERB fis-4238 92 48 to to PART fis-4238 92 49 be be AUX fis-4238 92 50 the the DET fis-4238 92 51 expected expect VERB fis-4238 92 52 fatigue fatigue NOUN fis-4238 92 53 life life NOUN fis-4238 92 54 due due ADP fis-4238 92 55 to to ADP fis-4238 92 56 only only ADV fis-4238 92 57 effective effective ADJ fis-4238 92 58 stress stress NOUN fis-4238 92 59 cycles cycle NOUN fis-4238 92 60 . . PUNCT fis-4238 93 1 within within ADP fis-4238 93 2 the the DET fis-4238 93 3 scope scope NOUN fis-4238 93 4 of of ADP fis-4238 93 5 lefm lefm PROPN fis-4238 93 6 , , PUNCT fis-4238 93 7 fatigue fatigue NOUN fis-4238 93 8 limit limit NOUN fis-4238 93 9 state state NOUN fis-4238 93 10 can can AUX fis-4238 93 11 be be AUX fis-4238 93 12 stated state VERB fis-4238 93 13 in in ADP fis-4238 93 14 terms term NOUN fis-4238 93 15 of of ADP fis-4238 93 16 a a DET fis-4238 93 17 comparison comparison NOUN fis-4238 93 18 between between ADP fis-4238 93 19 : : PUNCT fis-4238 93 20 ( ( PUNCT fis-4238 93 21 a a X fis-4238 93 22 ) ) PUNCT fis-4238 93 23 current current ADJ fis-4238 93 24 crack crack NOUN fis-4238 93 25 semi semi ADJ fis-4238 93 26 - - ADJ fis-4238 93 27 width width ADJ fis-4238 93 28 and and CCONJ fis-4238 93 29 final final ADJ fis-4238 93 30 ( ( PUNCT fis-4238 93 31 critical critical ADJ fis-4238 93 32 ) ) PUNCT fis-4238 93 33 crack crack VERB fis-4238 93 34 semi semi ADJ fis-4238 93 35 - - ADJ fis-4238 93 36 width width ADJ fis-4238 93 37 ; ; PUNCT fis-4238 93 38 ( ( PUNCT fis-4238 93 39 b b X fis-4238 93 40 ) ) PUNCT fis-4238 93 41 current current ADJ fis-4238 93 42 stress stress NOUN fis-4238 93 43 intensity intensity NOUN fis-4238 93 44 factor factor NOUN fis-4238 93 45 at at ADP fis-4238 93 46 the the DET fis-4238 93 47 leading lead VERB fis-4238 93 48 edge edge NOUN fis-4238 93 49 of of ADP fis-4238 93 50 the the DET fis-4238 93 51 crack crack NOUN fis-4238 93 52 and and CCONJ fis-4238 93 53 fracture fracture ADJ fis-4238 93 54 toughness toughness NOUN fis-4238 93 55 of of ADP fis-4238 93 56 the the DET fis-4238 93 57 material material NOUN fis-4238 93 58 ; ; PUNCT fis-4238 93 59 ( ( PUNCT fis-4238 93 60 c c X fis-4238 93 61 ) ) PUNCT fis-4238 93 62 current current ADJ fis-4238 93 63 number number NOUN fis-4238 93 64 of of ADP fis-4238 93 65 effective effective ADJ fis-4238 93 66 stress stress NOUN fis-4238 93 67 cycles cycle NOUN fis-4238 93 68 and and CCONJ fis-4238 93 69 required require VERB fis-4238 93 70 fatigue fatigue NOUN fis-4238 93 71 life life NOUN fis-4238 93 72 . . PUNCT fis-4238 94 1 in in ADP fis-4238 94 2 this this DET fis-4238 94 3 paper paper NOUN fis-4238 94 4 , , PUNCT fis-4238 94 5 the the DET fis-4238 94 6 fatigue fatigue NOUN fis-4238 94 7 limit limit VERB fis-4238 94 8 state state NOUN fis-4238 94 9 function function NOUN fis-4238 94 10 q q PUNCT fis-4238 94 11 is be AUX fis-4238 94 12 formulated formulate VERB fis-4238 94 13 based base VERB fis-4238 94 14 on on ADP fis-4238 94 15 the the DET fis-4238 94 16 first first ADJ fis-4238 94 17 two two NUM fis-4238 94 18 options option NOUN fis-4238 94 19 ( ( PUNCT fis-4238 94 20 because because SCONJ fis-4238 94 21 the the DET fis-4238 94 22 current current ADJ fis-4238 94 23 number number NOUN fis-4238 94 24 of of ADP fis-4238 94 25 effective effective ADJ fis-4238 94 26 stress stress NOUN fis-4238 94 27 cycles cycle NOUN fis-4238 94 28 are be AUX fis-4238 94 29 supposed suppose VERB fis-4238 94 30 to to PART fis-4238 94 31 be be AUX fis-4238 94 32 unknown unknown ADJ fis-4238 94 33 ) ) PUNCT fis-4238 94 34 , , PUNCT fis-4238 94 35 prevailing prevail VERB fis-4238 94 36 the the DET fis-4238 94 37 most most ADV fis-4238 94 38 restrictive restrictive ADJ fis-4238 94 39 criterion criterion NOUN fis-4238 94 40 . . PUNCT fis-4238 95 1 this this PRON fis-4238 95 2 corresponds correspond VERB fis-4238 95 3 to to ADP fis-4238 95 4 eqn eqn VERB fis-4238 95 5 . . PUNCT fis-4238 95 6 8 8 NUM fis-4238 95 7 , , PUNCT fis-4238 95 8 in in ADP fis-4238 95 9 which which PRON fis-4238 95 10 a a PRON fis-4238 95 11 is be AUX fis-4238 95 12 the the DET fis-4238 95 13 current current ADJ fis-4238 95 14 crack crack NOUN fis-4238 95 15 semiwidth semiwidth NOUN fis-4238 95 16 , , PUNCT fis-4238 95 17   NUM fis-4238 95 18 is be AUX fis-4238 95 19 the the DET fis-4238 95 20 set set NOUN fis-4238 95 21 of of ADP fis-4238 95 22 admissible admissible ADJ fis-4238 95 23 current current ADJ fis-4238 95 24 crack crack NOUN fis-4238 95 25 semi semi NOUN fis-4238 95 26 - - NOUN fis-4238 95 27 widths width NOUN fis-4238 95 28 , , PUNCT fis-4238 95 29 and and CCONJ fis-4238 95 30   NOUN fis-4238 95 31 is be AUX fis-4238 95 32 the the DET fis-4238 95 33 set set NOUN fis-4238 95 34 of of ADP fis-4238 95 35 admissible admissible ADJ fis-4238 95 36 mode mode NOUN fis-4238 95 37 i i PRON fis-4238 95 38 stress stress VERB fis-4238 95 39 intensity intensity NOUN fis-4238 95 40 factors factor NOUN fis-4238 95 41 . . PUNCT fis-4238 96 1   NOUN fis-4238 97 1   PUNCT fis-4238 97 2   NOUN fis-4238 97 3   PROPN fis-4238 97 4   X fis-4238 97 5   NUM fis-4238 97 6   NOUN fis-4238 97 7   PROPN fis-4238 97 8   PROPN fis-4238 97 9   PROPN fis-4238 97 10   NOUN fis-4238 97 11   PROPN fis-4238 97 12         SPACE fis-4238 97 13 ; ; PUNCT fis-4238 97 14         SPACE fis-4238 97 15 inf inf NOUN fis-4238 97 16 , , PUNCT fis-4238 97 17     SPACE fis-4238 97 18 c c NOUN fis-4238 98 1 i i PRON fis-4238 98 2 f f VERB fis-4238 99 1 i i PRON fis-4238 99 2 i i PRON fis-4238 99 3 a a VERB fis-4238 99 4 k k X fis-4238 99 5 q q PROPN fis-4238 99 6 n n PROPN fis-4238 99 7 a a DET fis-4238 99 8 a a NOUN fis-4238 99 9 n n NOUN fis-4238 99 10 k k PROPN fis-4238 99 11 k k PROPN fis-4238 99 12 . . PUNCT fis-4238 100 1 ( ( PUNCT fis-4238 100 2 8) 8) NUM fis-4238 100 3 multi multi ADJ fis-4238 100 4 - - ADJ fis-4238 100 5 level level ADJ fis-4238 100 6 uncertain uncertain ADJ fis-4238 100 7 fatigue fatigue NOUN fis-4238 100 8 analysis analysis NOUN fis-4238 100 9 : : PUNCT fis-4238 100 10 fracture fracture ADJ fis-4238 100 11 mechanics mechanic NOUN fis-4238 100 12 approach approach NOUN fis-4238 100 13 and and CCONJ fis-4238 100 14 sensitivity sensitivity NOUN fis-4238 100 15 analysis analysis NOUN fis-4238 100 16 his his PRON fis-4238 100 17 section section NOUN fis-4238 100 18 presents present VERB fis-4238 100 19 uq uq NOUN fis-4238 100 20 , , PUNCT fis-4238 100 21 uiq uiq ADJ fis-4238 100 22 , , PUNCT fis-4238 100 23 and and CCONJ fis-4238 100 24 srq srq PROPN fis-4238 100 25 definitions definition NOUN fis-4238 100 26 , , PUNCT fis-4238 100 27 some some PRON fis-4238 100 28 of of ADP fis-4238 100 29 the the DET fis-4238 100 30 existing exist VERB fis-4238 100 31 methods method NOUN fis-4238 100 32 of of ADP fis-4238 100 33 uncertainty uncertainty NOUN fis-4238 100 34 propagation propagation NOUN fis-4238 100 35 , , PUNCT fis-4238 100 36 besides besides SCONJ fis-4238 100 37 establishing establish VERB fis-4238 100 38 the the DET fis-4238 100 39 general general ADJ fis-4238 100 40 relationship relationship NOUN fis-4238 100 41 between between ADP fis-4238 100 42 the the DET fis-4238 100 43 uiqs uiqs ADJ fis-4238 100 44 and and CCONJ fis-4238 100 45 srq srq PROPN fis-4238 100 46 in in ADP fis-4238 100 47 the the DET fis-4238 100 48 context context NOUN fis-4238 100 49 of of ADP fis-4238 100 50 a a DET fis-4238 100 51 non non ADJ fis-4238 100 52 - - ADJ fis-4238 100 53 deterministic deterministic ADJ fis-4238 100 54 fatigue fatigue NOUN fis-4238 100 55 analysis analysis NOUN fis-4238 100 56 via via ADP fis-4238 100 57 fracture fracture NOUN fis-4238 100 58 mechanics mechanic NOUN fis-4238 100 59 . . PUNCT fis-4238 101 1 complementarily complementarily ADV fis-4238 101 2 , , PUNCT fis-4238 101 3 the the DET fis-4238 101 4 multi multi ADJ fis-4238 101 5 - - ADJ fis-4238 101 6 level level ADJ fis-4238 101 7 formulation formulation NOUN fis-4238 101 8 is be AUX fis-4238 101 9 associated associate VERB fis-4238 101 10 with with ADP fis-4238 101 11 the the DET fis-4238 101 12 uncertain uncertain ADJ fis-4238 101 13 fatigue fatigue NOUN fis-4238 101 14 problem problem NOUN fis-4238 101 15 . . PUNCT fis-4238 102 1 uq uq NOUN fis-4238 102 2 , , PUNCT fis-4238 102 3 uiqs uiqs ADJ fis-4238 102 4 , , PUNCT fis-4238 102 5 and and CCONJ fis-4238 102 6 srqs srqs NUM fis-4238 102 7 in in ADP fis-4238 102 8 the the DET fis-4238 102 9 field field NOUN fis-4238 102 10 of of ADP fis-4238 102 11 model model NOUN fis-4238 102 12 - - PUNCT fis-4238 102 13 based base VERB fis-4238 102 14 predictions prediction NOUN fis-4238 102 15 , , PUNCT fis-4238 102 16 uncertainty uncertainty NOUN fis-4238 102 17 originates originate VERB fis-4238 102 18 from from ADP fis-4238 102 19 model model NOUN fis-4238 102 20 inputs input NOUN fis-4238 102 21 ( ( PUNCT fis-4238 102 22 boundary boundary ADJ fis-4238 102 23 conditions condition NOUN fis-4238 102 24 , , PUNCT fis-4238 102 25 initial initial ADJ fis-4238 102 26 conditions condition NOUN fis-4238 102 27 , , PUNCT fis-4238 102 28 etc etc X fis-4238 102 29 . . X fis-4238 102 30 ) ) PUNCT fis-4238 102 31 , , PUNCT fis-4238 102 32 gap gap NOUN fis-4238 102 33 between between ADP fis-4238 102 34 real real ADJ fis-4238 102 35 system system NOUN fis-4238 102 36 and and CCONJ fis-4238 102 37 adopted adopt VERB fis-4238 102 38 model model NOUN fis-4238 102 39 , , PUNCT fis-4238 102 40 computational computational ADJ fis-4238 102 41 costs cost NOUN fis-4238 102 42 ( ( PUNCT fis-4238 102 43 time time NOUN fis-4238 102 44 to to PART fis-4238 102 45 accomplish accomplish VERB fis-4238 102 46 the the DET fis-4238 102 47 run run NOUN fis-4238 102 48 , , PUNCT fis-4238 102 49 analysis analysis NOUN fis-4238 102 50 feasibility feasibility NOUN fis-4238 102 51 , , PUNCT fis-4238 102 52 t t PROPN fis-4238 102 53 r. r. PROPN fis-4238 102 54 b. b. PROPN fis-4238 103 1 p. p. PROPN fis-4238 103 2 nonato nonato PROPN fis-4238 103 3 , , PUNCT fis-4238 103 4 frattura frattura PROPN fis-4238 103 5 ed ed PROPN fis-4238 103 6 integrità integrità PROPN fis-4238 103 7 strutturale strutturale PROPN fis-4238 103 8 , , PUNCT fis-4238 103 9 65 65 NUM fis-4238 103 10 ( ( PUNCT fis-4238 103 11 2023 2023 NUM fis-4238 103 12 ) ) PUNCT fis-4238 103 13 17 17 NUM fis-4238 103 14 - - SYM fis-4238 103 15 37 37 NUM fis-4238 103 16 ; ; PUNCT fis-4238 103 17 doi doi NOUN fis-4238 103 18 : : PUNCT fis-4238 103 19 10.3221 10.3221 NUM fis-4238 103 20 / / SYM fis-4238 103 21 igf igf PROPN fis-4238 103 22 - - NOUN fis-4238 103 23 esis.66.02 esis.66.02 NOUN fis-4238 103 24 21 21 NUM fis-4238 103 25 and and CCONJ fis-4238 103 26 complexity complexity NOUN fis-4238 103 27 ) ) PUNCT fis-4238 103 28 , , PUNCT fis-4238 103 29 solution solution NOUN fis-4238 103 30 , , PUNCT fis-4238 103 31 and and CCONJ fis-4238 103 32 errors error NOUN fis-4238 103 33 [ [ X fis-4238 103 34 24 24 NUM fis-4238 103 35 ] ] PUNCT fis-4238 103 36 . . PUNCT fis-4238 104 1 it it PRON fis-4238 104 2 is be AUX fis-4238 104 3 important important ADJ fis-4238 104 4 to to PART fis-4238 104 5 assess assess VERB fis-4238 104 6 the the DET fis-4238 104 7 impact impact NOUN fis-4238 104 8 of of ADP fis-4238 104 9 these these DET fis-4238 104 10 sources source NOUN fis-4238 104 11 of of ADP fis-4238 104 12 uncertainty uncertainty NOUN fis-4238 104 13 in in ADP fis-4238 104 14 the the DET fis-4238 104 15 context context NOUN fis-4238 104 16 of of ADP fis-4238 104 17 prediction prediction NOUN fis-4238 104 18 and and CCONJ fis-4238 104 19 safety safety NOUN fis-4238 104 20 issues issue NOUN fis-4238 104 21 [ [ X fis-4238 104 22 25 25 NUM fis-4238 104 23 ] ] PUNCT fis-4238 104 24 . . PUNCT fis-4238 105 1 uncertainties uncertainty NOUN fis-4238 105 2 can can AUX fis-4238 105 3 also also ADV fis-4238 105 4 be be AUX fis-4238 105 5 generated generate VERB fis-4238 105 6 under under ADP fis-4238 105 7 the the DET fis-4238 105 8 consideration consideration NOUN fis-4238 105 9 of of ADP fis-4238 105 10 experimental experimental ADJ fis-4238 105 11 / / SYM fis-4238 105 12 design design NOUN fis-4238 105 13 multiplicative multiplicative ADJ fis-4238 105 14 factors factor NOUN fis-4238 105 15 , , PUNCT fis-4238 105 16 which which DET fis-4238 105 17 values value NOUN fis-4238 105 18 are be AUX fis-4238 105 19 generally generally ADV fis-4238 105 20 attributed attribute VERB fis-4238 105 21 by by ADP fis-4238 105 22 experienced experienced ADJ fis-4238 105 23 personnel personnel NOUN fis-4238 105 24 representing represent VERB fis-4238 105 25 committees committee NOUN fis-4238 105 26 , , PUNCT fis-4238 105 27 institutions institution NOUN fis-4238 105 28 , , PUNCT fis-4238 105 29 or or CCONJ fis-4238 105 30 normative normative ADJ fis-4238 105 31 councils council NOUN fis-4238 105 32 , , PUNCT fis-4238 105 33 for for ADP fis-4238 105 34 example example NOUN fis-4238 105 35 . . PUNCT fis-4238 106 1 among among ADP fis-4238 106 2 a a DET fis-4238 106 3 wide wide ADJ fis-4238 106 4 scope scope NOUN fis-4238 106 5 of of ADP fis-4238 106 6 uncertainty uncertainty NOUN fis-4238 106 7 propagation propagation NOUN fis-4238 106 8 methods method NOUN fis-4238 106 9 , , PUNCT fis-4238 106 10 we we PRON fis-4238 106 11 can can AUX fis-4238 106 12 mention mention VERB fis-4238 106 13 monte monte PROPN fis-4238 106 14 carlo carlo PROPN fis-4238 106 15 sampling sample VERB fis-4238 106 16 ( ( PUNCT fis-4238 106 17 mcs mcs PROPN fis-4238 106 18 ) ) PUNCT fis-4238 106 19 , , PUNCT fis-4238 106 20 latin latin ADJ fis-4238 106 21 hyper hyper ADJ fis-4238 106 22 cube cube NOUN fis-4238 106 23 sampling sample VERB fis-4238 106 24 ( ( PUNCT fis-4238 106 25 lhs lhs PROPN fis-4238 106 26 ) ) PUNCT fis-4238 106 27 , , PUNCT fis-4238 106 28 quasi quasi PROPN fis-4238 106 29 monte monte PROPN fis-4238 106 30 carlo carlo PROPN fis-4238 106 31 sampling sample VERB fis-4238 106 32 ( ( PUNCT fis-4238 106 33 qmcs qmcs PROPN fis-4238 106 34 ) ) PUNCT fis-4238 106 35 , , PUNCT fis-4238 106 36 analytical analytical ADJ fis-4238 106 37 uncertainty uncertainty NOUN fis-4238 106 38 propagation propagation NOUN fis-4238 106 39 ( ( PUNCT fis-4238 106 40 aup aup PROPN fis-4238 106 41 ) ) PUNCT fis-4238 106 42 , , PUNCT fis-4238 106 43 fuzzy fuzzy ADJ fis-4238 106 44 interval interval NOUN fis-4238 106 45 arithmetic arithmetic NOUN fis-4238 106 46 ( ( PUNCT fis-4238 106 47 fia fia PROPN fis-4238 106 48 ) ) PUNCT fis-4238 106 49 , , PUNCT fis-4238 106 50 polynomial polynomial ADJ fis-4238 106 51 chaos chaos NOUN fis-4238 106 52 ( ( PUNCT fis-4238 106 53 pc pc NOUN fis-4238 106 54 ) ) PUNCT fis-4238 106 55 , , PUNCT fis-4238 106 56 and and CCONJ fis-4238 106 57 subset subset VERB fis-4238 106 58 simulation simulation NOUN fis-4238 106 59 ( ( PUNCT fis-4238 106 60 ss ss NOUN fis-4238 106 61 ) ) PUNCT fis-4238 106 62 , , PUNCT fis-4238 106 63 for for ADP fis-4238 106 64 example example NOUN fis-4238 106 65 , , PUNCT fis-4238 106 66 applied apply VERB fis-4238 106 67 in in ADP fis-4238 106 68 [ [ PUNCT fis-4238 106 69 26 26 NUM fis-4238 106 70 - - SYM fis-4238 106 71 29 29 NUM fis-4238 106 72 ] ] PUNCT fis-4238 106 73 . . PUNCT fis-4238 107 1 within within ADP fis-4238 107 2 the the DET fis-4238 107 3 scope scope NOUN fis-4238 107 4 of of ADP fis-4238 107 5 this this DET fis-4238 107 6 paper paper NOUN fis-4238 107 7 , , PUNCT fis-4238 107 8 the the DET fis-4238 107 9 aleatory aleatory ADJ fis-4238 107 10 - - PUNCT fis-4238 107 11 type type NOUN fis-4238 107 12 uncertainty uncertainty NOUN fis-4238 107 13 is be AUX fis-4238 107 14 generally generally ADV fis-4238 107 15 described describe VERB fis-4238 107 16 by by ADP fis-4238 107 17 a a DET fis-4238 107 18 pdf pdf NOUN fis-4238 107 19 and/or and/or CCONJ fis-4238 107 20 cdf cdf PROPN fis-4238 107 21 . . PUNCT fis-4238 108 1 the the DET fis-4238 108 2 related related ADJ fis-4238 108 3 model model NOUN fis-4238 108 4 has have VERB fis-4238 108 5 inherent inherent ADJ fis-4238 108 6 variability variability NOUN fis-4238 108 7 , , PUNCT fis-4238 108 8 such such ADJ fis-4238 108 9 that that SCONJ fis-4238 108 10 it it PRON fis-4238 108 11 is be AUX fis-4238 108 12 intrinsic intrinsic ADJ fis-4238 108 13 to to ADP fis-4238 108 14 the the DET fis-4238 108 15 nature nature NOUN fis-4238 108 16 of of ADP fis-4238 108 17 the the DET fis-4238 108 18 problem problem NOUN fis-4238 108 19 . . PUNCT fis-4238 109 1 independently independently ADV fis-4238 109 2 of of ADP fis-4238 109 3 the the DET fis-4238 109 4 reliability reliability NOUN fis-4238 109 5 of of ADP fis-4238 109 6 the the DET fis-4238 109 7 information information NOUN fis-4238 109 8 , , PUNCT fis-4238 109 9 the the DET fis-4238 109 10 aleatory aleatory ADJ fis-4238 109 11 - - PUNCT fis-4238 109 12 type type NOUN fis-4238 109 13 uncertainty uncertainty NOUN fis-4238 109 14 can can AUX fis-4238 109 15 not not PART fis-4238 109 16 be be AUX fis-4238 109 17 directly directly ADV fis-4238 109 18 eliminated eliminate VERB fis-4238 109 19 , , PUNCT fis-4238 109 20 although although SCONJ fis-4238 109 21 it it PRON fis-4238 109 22 may may AUX fis-4238 109 23 be be AUX fis-4238 109 24 better well ADV fis-4238 109 25 quantified quantify VERB fis-4238 109 26 in in SCONJ fis-4238 109 27 order order NOUN fis-4238 109 28 to to PART fis-4238 109 29 be be AUX fis-4238 109 30 reduced reduce VERB fis-4238 109 31 . . PUNCT fis-4238 110 1 this this DET fis-4238 110 2 type type NOUN fis-4238 110 3 of of ADP fis-4238 110 4 uncertainty uncertainty NOUN fis-4238 110 5 is be AUX fis-4238 110 6 modeled model VERB fis-4238 110 7 based base VERB fis-4238 110 8 on on ADP fis-4238 110 9 the the DET fis-4238 110 10 information information NOUN fis-4238 110 11 originated originate VERB fis-4238 110 12 at at ADP fis-4238 110 13 a a DET fis-4238 110 14 candidate candidate NOUN fis-4238 110 15 , , PUNCT fis-4238 110 16 selected select VERB fis-4238 110 17 , , PUNCT fis-4238 110 18 or or CCONJ fis-4238 110 19 available available ADJ fis-4238 110 20 probability probability NOUN fis-4238 110 21 distribution distribution NOUN fis-4238 110 22 . . PUNCT fis-4238 111 1 from from ADP fis-4238 111 2 this this DET fis-4238 111 3 perspective perspective NOUN fis-4238 111 4 , , PUNCT fis-4238 111 5 let let VERB fis-4238 111 6 ian ian PROPN fis-4238 111 7 be be AUX fis-4238 111 8 the the DET fis-4238 111 9 number number NOUN fis-4238 111 10 of of ADP fis-4238 111 11 available available ADJ fis-4238 111 12 parameters parameter NOUN fis-4238 111 13 of of ADP fis-4238 111 14 the the DET fis-4238 111 15 i i PROPN fis-4238 111 16 -th -th NOUN fis-4238 111 17 probabilistic probabilistic ADJ fis-4238 111 18 uiq uiq ADJ fis-4238 111 19 ix ix INTJ fis-4238 111 20 ( ( PUNCT fis-4238 111 21 random random ADJ fis-4238 111 22 variable variable NOUN fis-4238 111 23 ) ) PUNCT fis-4238 111 24 . . PUNCT fis-4238 112 1 denoting denote VERB fis-4238 112 2 the the DET fis-4238 112 3 pdf pdf NOUN fis-4238 112 4 of of ADP fis-4238 112 5 this this PRON fis-4238 112 6 uiq uiq NOUN fis-4238 112 7 by by ADP fis-4238 112 8 ixf ixf PROPN fis-4238 112 9 , , PUNCT fis-4238 112 10 the the DET fis-4238 112 11 outcomes outcome NOUN fis-4238 112 12 ix ix ADP fis-4238 112 13 of of ADP fis-4238 112 14 ix ix ADV fis-4238 112 15 are be AUX fis-4238 112 16 extracted extract VERB fis-4238 112 17 from from ADP fis-4238 112 18 eqn eqn NOUN fis-4238 112 19 . . PUNCT fis-4238 113 1 9 9 NUM fis-4238 113 2 : : SYM fis-4238 113 3   PROPN fis-4238 113 4   NOUN fis-4238 113 5 1 1 NOUN fis-4238 113 6 , , PUNCT fis-4238 113 7     SPACE fis-4238 113 8 , , PUNCT fis-4238 113 9 , , PUNCT fis-4238 113 10     SPACE fis-4238 113 11 i i PRON fis-4238 113 12 ii ii VERB fis-4238 113 13 x x VERB fis-4238 114 1 i i PRON fis-4238 114 2 i i PRON fis-4238 114 3 ax ax VERB fis-4238 114 4 f f X fis-4238 114 5 x x PROPN fis-4238 114 6 a a DET fis-4238 114 7 n n PROPN fis-4238 114 8 ( ( PUNCT fis-4238 114 9 9 9 NUM fis-4238 114 10 ) ) PUNCT fis-4238 114 11 where where SCONJ fis-4238 114 12 ia ia PROPN fis-4238 114 13 is be AUX fis-4238 114 14 the the DET fis-4238 114 15 a a DET fis-4238 114 16 -th -th NOUN fis-4238 114 17 available available ADJ fis-4238 114 18 parameter parameter NOUN fis-4238 114 19 related relate VERB fis-4238 114 20 to to ADP fis-4238 114 21 the the DET fis-4238 114 22 random random ADJ fis-4238 114 23 variable variable NOUN fis-4238 114 24 ix ix ADV fis-4238 114 25 , , PUNCT fis-4238 114 26 and and CCONJ fis-4238 114 27 ian ian PROPN fis-4238 114 28 refers refer VERB fis-4238 114 29 to to ADP fis-4238 114 30 the the DET fis-4238 114 31 number number NOUN fis-4238 114 32 of of ADP fis-4238 114 33 available available ADJ fis-4238 114 34 parameters parameter NOUN fis-4238 114 35 associated associate VERB fis-4238 114 36 to to ADP fis-4238 114 37 ix ix PROPN fis-4238 114 38 . . PUNCT fis-4238 115 1 therefore therefore ADV fis-4238 115 2 , , PUNCT fis-4238 115 3 ix ix ADV fis-4238 115 4 represents represent VERB fis-4238 115 5 the the DET fis-4238 115 6 possible possible ADJ fis-4238 115 7 realizations realization NOUN fis-4238 115 8 of of ADP fis-4238 115 9 a a DET fis-4238 115 10 universal universal ADJ fis-4238 115 11 set set NOUN fis-4238 115 12   NOUN fis-4238 115 13 i i PRON fis-4238 115 14 of of ADP fis-4238 115 15 all all DET fis-4238 115 16 possible possible ADJ fis-4238 115 17 outcomes outcome NOUN fis-4238 115 18 . . PUNCT fis-4238 116 1 in in ADP fis-4238 116 2 this this DET fis-4238 116 3 sense sense NOUN fis-4238 116 4 , , PUNCT fis-4238 116 5 a a DET fis-4238 116 6 cdf cdf PROPN fis-4238 116 7 ixf ixf NOUN fis-4238 116 8 can can AUX fis-4238 116 9 be be AUX fis-4238 116 10 assigned assign VERB fis-4238 116 11 to to ADP fis-4238 116 12 every every DET fis-4238 116 13 element element NOUN fis-4238 116 14 ix ix ADV fis-4238 116 15 , , PUNCT fis-4238 116 16 as as ADV fis-4238 116 17 long long ADV fis-4238 116 18 as as SCONJ fis-4238 116 19 the the DET fis-4238 116 20 following follow VERB fis-4238 116 21 conditions condition NOUN fis-4238 116 22 are be AUX fis-4238 116 23 concomitantly concomitantly ADV fis-4238 116 24 satisfied satisfied ADJ fis-4238 116 25 : : PUNCT fis-4238 116 26   PROPN fis-4238 116 27   PROPN fis-4238 116 28   PROPN fis-4238 116 29   PROPN fis-4238 116 30   PROPN fis-4238 116 31   PROPN fis-4238 116 32   PROPN fis-4238 116 33 , , PUNCT fis-4238 116 34     SPACE fis-4238 116 35 , , PUNCT fis-4238 116 36 , , PUNCT fis-4238 116 37     SPACE fis-4238 116 38 0 0 NUM fis-4238 116 39 , , PUNCT fis-4238 116 40     SPACE fis-4238 116 41 1 1 NUM fis-4238 116 42 , , PUNCT fis-4238 116 43         SPACE fis-4238 117 1 i i PRON fis-4238 117 2 ix ix INTJ fis-4238 117 3 i i PRON fis-4238 117 4 i i PRON fis-4238 117 5 a a INTJ fis-4238 117 6 i i PRON fis-4238 117 7 if if SCONJ fis-4238 117 8 x x X fis-4238 117 9 a a PRON fis-4238 117 10 n n NOUN fis-4238 117 11 x x NOUN fis-4238 117 12 , , PUNCT fis-4238 117 13 and and CCONJ fis-4238 117 14   NOUN fis-4238 117 15   PROPN fis-4238 117 16   VERB fis-4238 117 17   PROPN fis-4238 117 18   NOUN fis-4238 117 19 , , PUNCT fis-4238 117 20     SPACE fis-4238 117 21 , , PUNCT fis-4238 117 22 , , PUNCT fis-4238 117 23     SPACE fis-4238 117 24 1 1 NUM fis-4238 118 1 i i PRON fis-4238 118 2 i i PRON fis-4238 119 1 i i INTJ fis-4238 119 2 i i VERB fis-4238 119 3 x x VERB fis-4238 120 1 i i PRON fis-4238 120 2 i i PRON fis-4238 120 3 a a VERB fis-4238 120 4 x x X fis-4238 120 5 f f X fis-4238 120 6 x x X fis-4238 120 7 a a DET fis-4238 120 8 n n NOUN fis-4238 120 9 . . PUNCT fis-4238 121 1 in in ADP fis-4238 121 2 its its PRON fis-4238 121 3 truncated truncated ADJ fis-4238 121 4 form form NOUN fis-4238 121 5 , , PUNCT fis-4238 121 6 the the DET fis-4238 121 7 additional additional ADJ fis-4238 121 8 condition condition NOUN fis-4238 121 9   PROPN fis-4238 121 10   VERB fis-4238 121 11   ADJ fis-4238 121 12   PROPN fis-4238 121 13   NUM fis-4238 121 14 | | PRON fis-4238 122 1 lb lb INTJ fis-4238 122 2 ub ub INTJ fis-4238 123 1 i i PRON fis-4238 124 1 i i PRON fis-4238 125 1 i i PRON fis-4238 126 1 i i PRON fis-4238 126 2 ix ix VERB fis-4238 126 3 x x PUNCT fis-4238 126 4 x x PUNCT fis-4238 126 5 x x PRON fis-4238 126 6 must must AUX fis-4238 126 7 be be AUX fis-4238 126 8 fulfilled fulfil VERB fis-4238 126 9 , , PUNCT fis-4238 127 1 which which PRON fis-4238 127 2 is be AUX fis-4238 127 3 described describe VERB fis-4238 127 4 by by ADP fis-4238 127 5 the the DET fis-4238 127 6 fact fact NOUN fis-4238 127 7 that that SCONJ fis-4238 127 8 all all DET fis-4238 127 9 possible possible ADJ fis-4238 127 10 outcomes outcome NOUN fis-4238 127 11 must must AUX fis-4238 127 12 be be AUX fis-4238 127 13 inside inside ADP fis-4238 127 14 the the DET fis-4238 127 15 established establish VERB fis-4238 127 16 acceptance acceptance NOUN fis-4238 127 17 interval interval NOUN fis-4238 127 18 . . PUNCT fis-4238 128 1 the the DET fis-4238 128 2 limits limit NOUN fis-4238 128 3 lb lb ADP fis-4238 128 4 ix ix ADV fis-4238 128 5 and and CCONJ fis-4238 128 6 ub ub INTJ fis-4238 128 7 ix ix INTJ fis-4238 128 8 are be AUX fis-4238 128 9 the the DET fis-4238 128 10 lower low ADJ fis-4238 128 11 and and CCONJ fis-4238 128 12 upper upper ADJ fis-4238 128 13 bounds bound NOUN fis-4238 128 14 of of ADP fis-4238 128 15 the the DET fis-4238 128 16 possible possible ADJ fis-4238 128 17 outcomes outcome NOUN fis-4238 128 18 , , PUNCT fis-4238 128 19 respectively respectively ADV fis-4238 128 20 , , PUNCT fis-4238 128 21 where where SCONJ fis-4238 128 22   NUM fis-4238 128 23 is be AUX fis-4238 128 24 the the DET fis-4238 128 25 set set NOUN fis-4238 128 26 of of ADP fis-4238 128 27 all all DET fis-4238 128 28 closed closed ADJ fis-4238 128 29 real real ADJ fis-4238 128 30 numbers number NOUN fis-4238 128 31 . . PUNCT fis-4238 129 1 multi multi ADJ fis-4238 129 2 - - ADJ fis-4238 129 3 level level ADJ fis-4238 129 4 uncertain uncertain ADJ fis-4238 129 5 fracture fracture NOUN fis-4238 129 6 mechanics mechanic NOUN fis-4238 129 7 approach approach VERB fis-4238 129 8 the the DET fis-4238 129 9 inputs input NOUN fis-4238 129 10 to to ADP fis-4238 129 11 a a DET fis-4238 129 12 fracture fracture ADJ fis-4238 129 13 mechanics mechanic NOUN fis-4238 129 14 analysis analysis NOUN fis-4238 129 15 are be AUX fis-4238 129 16 frequently frequently ADV fis-4238 129 17 subjected subject VERB fis-4238 129 18 to to ADP fis-4238 129 19 considerable considerable ADJ fis-4238 129 20 uncertainty uncertainty NOUN fis-4238 129 21 . . PUNCT fis-4238 130 1 thenceforth thenceforth NOUN fis-4238 130 2 , , PUNCT fis-4238 130 3 conservative conservative ADJ fis-4238 130 4 estimation estimation NOUN fis-4238 130 5 of of ADP fis-4238 130 6 these these DET fis-4238 130 7 quantities quantity NOUN fis-4238 130 8 are be AUX fis-4238 130 9 often often ADV fis-4238 130 10 employed employ VERB fis-4238 130 11 , , PUNCT fis-4238 130 12 sometimes sometimes ADV fis-4238 130 13 resulting result VERB fis-4238 130 14 in in ADP fis-4238 130 15 improbable improbable ADJ fis-4238 130 16 outputs output NOUN fis-4238 130 17 related relate VERB fis-4238 130 18 to to ADP fis-4238 130 19 fatigue fatigue NOUN fis-4238 130 20 [ [ X fis-4238 130 21 30 30 NUM fis-4238 130 22 ] ] PUNCT fis-4238 130 23 . . PUNCT fis-4238 131 1 one one NUM fis-4238 131 2 of of ADP fis-4238 131 3 the the DET fis-4238 131 4 possible possible ADJ fis-4238 131 5 manners manner NOUN fis-4238 131 6 to to PART fis-4238 131 7 obtain obtain VERB fis-4238 131 8 a a DET fis-4238 131 9 more more ADV fis-4238 131 10 realistic realistic ADJ fis-4238 131 11 result result NOUN fis-4238 131 12 is be AUX fis-4238 131 13 structured structure VERB fis-4238 131 14 under under ADP fis-4238 131 15 the the DET fis-4238 131 16 assumption assumption NOUN fis-4238 131 17 of of ADP fis-4238 131 18 uncertain uncertain ADJ fis-4238 131 19 inputs input NOUN fis-4238 131 20 propagated propagate VERB fis-4238 131 21 throughout throughout ADP fis-4238 131 22 an an DET fis-4238 131 23 uqfw uqfw NOUN fis-4238 131 24 . . PUNCT fis-4238 132 1 in in ADP fis-4238 132 2 uncertainty uncertainty NOUN fis-4238 132 3 quantification quantification NOUN fis-4238 132 4 ( ( PUNCT fis-4238 132 5 uq uq NOUN fis-4238 132 6 ) ) PUNCT fis-4238 132 7 , , PUNCT fis-4238 132 8 predictions prediction NOUN fis-4238 132 9 are be AUX fis-4238 132 10 generally generally ADV fis-4238 132 11 based base VERB fis-4238 132 12 on on ADP fis-4238 132 13 models model NOUN fis-4238 132 14 , , PUNCT fis-4238 132 15 which which PRON fis-4238 132 16 are be AUX fis-4238 132 17 used use VERB fis-4238 132 18 to to PART fis-4238 132 19 obtain obtain VERB fis-4238 132 20 the the DET fis-4238 132 21 corresponding corresponding ADJ fis-4238 132 22 required require VERB fis-4238 132 23 uncertainties uncertainty NOUN fis-4238 132 24 [ [ X fis-4238 132 25 31 31 NUM fis-4238 132 26 ] ] PUNCT fis-4238 132 27 . . PUNCT fis-4238 133 1 the the DET fis-4238 133 2 characterization characterization NOUN fis-4238 133 3 of of ADP fis-4238 133 4 uncertainties uncertainty NOUN fis-4238 133 5 within within ADP fis-4238 133 6 a a DET fis-4238 133 7 uq uq NOUN fis-4238 133 8 process process NOUN fis-4238 133 9 may may AUX fis-4238 133 10 address address VERB fis-4238 133 11 different different ADJ fis-4238 133 12 types type NOUN fis-4238 133 13 of of ADP fis-4238 133 14 uiqs uiqs ADJ fis-4238 133 15 throughout throughout ADP fis-4238 133 16 distinct distinct ADJ fis-4238 133 17 calculation calculation NOUN fis-4238 133 18 levels level NOUN fis-4238 133 19 . . PUNCT fis-4238 134 1 in in ADP fis-4238 134 2 this this DET fis-4238 134 3 paper paper NOUN fis-4238 134 4 , , PUNCT fis-4238 134 5 the the DET fis-4238 134 6 strategy strategy NOUN fis-4238 134 7 introduced introduce VERB fis-4238 134 8 by by ADP fis-4238 134 9 [ [ X fis-4238 134 10 14 14 NUM fis-4238 134 11 ] ] PUNCT fis-4238 134 12 is be AUX fis-4238 134 13 extended extend VERB fis-4238 134 14 to to ADP fis-4238 134 15 multiple multiple ADJ fis-4238 134 16 levels level NOUN fis-4238 134 17 of of ADP fis-4238 134 18 calculation calculation NOUN fis-4238 134 19 , , PUNCT fis-4238 134 20 and and CCONJ fis-4238 134 21 it it PRON fis-4238 134 22 is be AUX fis-4238 134 23 now now ADV fis-4238 134 24 implemented implement VERB fis-4238 134 25 to to ADP fis-4238 134 26 fracture fracture VERB fis-4238 134 27 mechanics mechanic NOUN fis-4238 134 28 in in ADP fis-4238 134 29 the the DET fis-4238 134 30 context context NOUN fis-4238 134 31 of of ADP fis-4238 134 32 fatigue fatigue NOUN fis-4238 134 33 - - PUNCT fis-4238 134 34 induced induce VERB fis-4238 134 35 sequential sequential ADJ fis-4238 134 36 failures failure NOUN fis-4238 134 37 of of ADP fis-4238 134 38 the the DET fis-4238 134 39 structural structural ADJ fis-4238 134 40 elements element NOUN fis-4238 134 41 involved involve VERB fis-4238 134 42 . . PUNCT fis-4238 135 1 each each DET fis-4238 135 2 round round NOUN fis-4238 135 3 of of ADP fis-4238 135 4 calculation calculation NOUN fis-4238 135 5 corresponds correspond VERB fis-4238 135 6 to to ADP fis-4238 135 7 the the DET fis-4238 135 8 failure failure NOUN fis-4238 135 9 of of ADP fis-4238 135 10 one one NUM fis-4238 135 11 or or CCONJ fis-4238 135 12 more more ADJ fis-4238 135 13 structural structural ADJ fis-4238 135 14 elements element NOUN fis-4238 135 15 simultaneously simultaneously ADV fis-4238 135 16 . . PUNCT fis-4238 136 1 although although SCONJ fis-4238 136 2 this this DET fis-4238 136 3 last last ADJ fis-4238 136 4 situation situation NOUN fis-4238 136 5 is be AUX fis-4238 136 6 mathematically mathematically ADV fis-4238 136 7 possible possible ADJ fis-4238 136 8 , , PUNCT fis-4238 136 9 the the DET fis-4238 136 10 probability probability NOUN fis-4238 136 11 of of ADP fis-4238 136 12 simultaneously simultaneously ADV fis-4238 136 13 multiple multiple ADJ fis-4238 136 14 element element NOUN fis-4238 136 15 failure failure NOUN fis-4238 136 16 occurring occur VERB fis-4238 136 17 tends tend VERB fis-4238 136 18 to to ADP fis-4238 136 19 zero zero NUM fis-4238 136 20 because because SCONJ fis-4238 136 21 of of ADP fis-4238 136 22 the the DET fis-4238 136 23 distinct distinct ADJ fis-4238 136 24 sources source NOUN fis-4238 136 25 of of ADP fis-4238 136 26 uncertainty uncertainty NOUN fis-4238 136 27 considered consider VERB fis-4238 136 28 in in ADP fis-4238 136 29 each each DET fis-4238 136 30 model model NOUN fis-4238 136 31 . . PUNCT fis-4238 137 1 moreover moreover ADV fis-4238 137 2 , , PUNCT fis-4238 137 3 inside inside ADP fis-4238 137 4 each each DET fis-4238 137 5 round round NOUN fis-4238 137 6 there there PRON fis-4238 137 7 are be VERB fis-4238 137 8 multiple multiple ADJ fis-4238 137 9 levels level NOUN fis-4238 137 10 of of ADP fis-4238 137 11 calculation calculation NOUN fis-4238 137 12 to to PART fis-4238 137 13 lead lead VERB fis-4238 137 14 this this DET fis-4238 137 15 structural structural ADJ fis-4238 137 16 component component NOUN fis-4238 137 17 to to ADP fis-4238 137 18 failure failure NOUN fis-4238 137 19 . . PUNCT fis-4238 138 1 the the DET fis-4238 138 2 mapping mapping NOUN fis-4238 138 3 of of ADP fis-4238 138 4 the the DET fis-4238 138 5 uiqs uiqs NOUN fis-4238 138 6 all all PRON fis-4238 138 7 over over ADP fis-4238 138 8 the the DET fis-4238 138 9 uncertainty uncertainty NOUN fis-4238 138 10 propagation propagation NOUN fis-4238 138 11 process process NOUN fis-4238 138 12 results result VERB fis-4238 138 13 in in ADP fis-4238 138 14 the the DET fis-4238 138 15 values value NOUN fis-4238 138 16 of of ADP fis-4238 138 17 the the DET fis-4238 138 18 srqs srqs PROPN fis-4238 138 19 of of ADP fis-4238 138 20 all all DET fis-4238 138 21 involved involved ADJ fis-4238 138 22 levels level NOUN fis-4238 138 23 . . PUNCT fis-4238 139 1 therefore therefore ADV fis-4238 139 2 , , PUNCT fis-4238 139 3 in in ADP fis-4238 139 4 the the DET fis-4238 139 5 first first ADJ fis-4238 139 6 round round NOUN fis-4238 139 7 , , PUNCT fis-4238 139 8 the the DET fis-4238 139 9 srqs srqs PROPN fis-4238 139 10 obtained obtain VERB fis-4238 139 11 at at ADP fis-4238 139 12 the the DET fis-4238 139 13 first first ADJ fis-4238 139 14 level level NOUN fis-4238 139 15 feed feed VERB fis-4238 139 16 the the DET fis-4238 139 17 second second ADJ fis-4238 139 18 level level NOUN fis-4238 139 19 as as ADP fis-4238 139 20 uiqs uiqs ADJ fis-4238 139 21 , , PUNCT fis-4238 139 22 i.e. i.e. X fis-4238 139 23 the the DET fis-4238 139 24 srqs srqs PROPN fis-4238 139 25 calculated calculate VERB fis-4238 139 26 at at ADP fis-4238 139 27 the the DET fis-4238 139 28 second second ADJ fis-4238 139 29 level level NOUN fis-4238 139 30 are be AUX fis-4238 139 31 not not PART fis-4238 139 32 only only ADV fis-4238 139 33 affected affect VERB fis-4238 139 34 by by ADP fis-4238 139 35 the the DET fis-4238 139 36 uiqs uiqs NOUN fis-4238 139 37 of of ADP fis-4238 139 38 the the DET fis-4238 139 39 same same ADJ fis-4238 139 40 level level NOUN fis-4238 139 41 , , PUNCT fis-4238 139 42 but but CCONJ fis-4238 139 43 also also ADV fis-4238 139 44 by by ADP fis-4238 139 45 the the DET fis-4238 139 46 srqs srqs PROPN fis-4238 139 47 of of ADP fis-4238 139 48 the the DET fis-4238 139 49 previous previous ADJ fis-4238 139 50 level level NOUN fis-4238 139 51 . . PUNCT fis-4238 140 1 the the DET fis-4238 140 2 process process NOUN fis-4238 140 3 goes go VERB fis-4238 140 4 on on ADP fis-4238 140 5 analogously analogously ADV fis-4238 140 6 for for ADP fis-4238 140 7 the the DET fis-4238 140 8 next next ADJ fis-4238 140 9 levels level NOUN fis-4238 140 10 . . PUNCT fis-4238 141 1 the the DET fis-4238 141 2 subsequent subsequent ADJ fis-4238 141 3 rounds round NOUN fis-4238 141 4 refer refer VERB fis-4238 141 5 to to ADP fis-4238 141 6 the the DET fis-4238 141 7 next next ADJ fis-4238 141 8 failures failure NOUN fis-4238 141 9 of of ADP fis-4238 141 10 the the DET fis-4238 141 11 structural structural ADJ fis-4238 141 12 elements element NOUN fis-4238 141 13 until until SCONJ fis-4238 141 14 the the DET fis-4238 141 15 structural structural ADJ fis-4238 141 16 redundancy redundancy NOUN fis-4238 141 17 level level NOUN fis-4238 141 18 becomes become VERB fis-4238 141 19 negative negative ADJ fis-4238 141 20 ( ( PUNCT fis-4238 141 21 a a DET fis-4238 141 22 mechanism mechanism NOUN fis-4238 141 23 is be AUX fis-4238 141 24 then then ADV fis-4238 141 25 formed form VERB fis-4238 141 26 and and CCONJ fis-4238 141 27 , , PUNCT fis-4238 141 28 consequently consequently ADV fis-4238 141 29 , , PUNCT fis-4238 141 30 the the DET fis-4238 141 31 structure structure NOUN fis-4238 141 32 loses lose VERB fis-4238 141 33 its its PRON fis-4238 141 34 functionality functionality NOUN fis-4238 141 35 ) ) PUNCT fis-4238 141 36 . . PUNCT fis-4238 142 1 each each DET fis-4238 142 2 round round NOUN fis-4238 142 3 has have VERB fis-4238 142 4 its its PRON fis-4238 142 5 own own ADJ fis-4238 142 6 levels level NOUN fis-4238 142 7 in in ADP fis-4238 142 8 order order NOUN fis-4238 142 9 to to PART fis-4238 142 10 reach reach VERB fis-4238 142 11 the the DET fis-4238 142 12 corresponding corresponding ADJ fis-4238 142 13 member member NOUN fis-4238 142 14 failure failure NOUN fis-4238 142 15 ; ; PUNCT fis-4238 142 16 however however ADV fis-4238 142 17 , , PUNCT fis-4238 142 18 some some DET fis-4238 142 19 srqs srqs NOUN fis-4238 142 20 from from ADP fis-4238 142 21 previous previous ADJ fis-4238 142 22 rounds round NOUN fis-4238 142 23 related relate VERB fis-4238 142 24 to to ADP fis-4238 142 25 structural structural ADJ fis-4238 142 26 members member NOUN fis-4238 142 27 that that PRON fis-4238 142 28 have have AUX fis-4238 142 29 not not PART fis-4238 142 30 yet yet ADV fis-4238 142 31 failed fail VERB fis-4238 142 32 are be AUX fis-4238 142 33 also also ADV fis-4238 142 34 input input NOUN fis-4238 142 35 for for ADP fis-4238 142 36 subsequent subsequent ADJ fis-4238 142 37 rounds round NOUN fis-4238 142 38 . . PUNCT fis-4238 143 1 this this PRON fis-4238 143 2 is be AUX fis-4238 143 3 schematically schematically NOUN fis-4238 143 4 described describe VERB fis-4238 143 5 in in ADP fis-4238 143 6 fig fig NOUN fis-4238 143 7 . . PUNCT fis-4238 144 1 2 2 X fis-4238 144 2 . . X fis-4238 144 3 r. r. PROPN fis-4238 144 4 b. b. PROPN fis-4238 144 5 p. p. PROPN fis-4238 144 6 nonato nonato PROPN fis-4238 144 7 , , PUNCT fis-4238 144 8 frattura frattura PROPN fis-4238 144 9 ed ed PROPN fis-4238 144 10 integrità integrità PROPN fis-4238 144 11 strutturale strutturale PROPN fis-4238 144 12 , , PUNCT fis-4238 144 13 65 65 NUM fis-4238 144 14 ( ( PUNCT fis-4238 144 15 2023 2023 NUM fis-4238 144 16 ) ) PUNCT fis-4238 144 17 17 17 NUM fis-4238 144 18 - - SYM fis-4238 144 19 37 37 NUM fis-4238 144 20 ; ; PUNCT fis-4238 144 21 doi doi NOUN fis-4238 144 22 : : PUNCT fis-4238 144 23 10.3221 10.3221 NUM fis-4238 144 24 / / SYM fis-4238 144 25 igf igf PROPN fis-4238 144 26 - - ADJ fis-4238 144 27 esis.66.02 esis.66.02 PROPN fis-4238 144 28 22 22 NUM fis-4238 144 29 figure figure NOUN fis-4238 144 30 2 2 NUM fis-4238 144 31 : : PUNCT fis-4238 144 32 flowchart flowchart NOUN fis-4238 144 33 of of ADP fis-4238 144 34 multi multi ADJ fis-4238 144 35 - - ADJ fis-4238 144 36 level level ADJ fis-4238 144 37 uncertain uncertain ADJ fis-4238 144 38 calculation calculation NOUN fis-4238 144 39 for for ADP fis-4238 144 40 one one NUM fis-4238 144 41 round round NOUN fis-4238 144 42 and and CCONJ fis-4238 144 43 its its PRON fis-4238 144 44 interface interface NOUN fis-4238 144 45 with with ADP fis-4238 144 46 the the DET fis-4238 144 47 subsequent subsequent ADJ fis-4238 144 48 rounds round NOUN fis-4238 144 49 . . PUNCT fis-4238 145 1 in in ADP fis-4238 145 2 the the DET fis-4238 145 3 present present ADJ fis-4238 145 4 paper paper NOUN fis-4238 145 5 , , PUNCT fis-4238 145 6 the the DET fis-4238 145 7 propagation propagation NOUN fis-4238 145 8 is be AUX fis-4238 145 9 made make VERB fis-4238 145 10 via via ADP fis-4238 145 11 latin latin ADJ fis-4238 145 12 hypercube hypercube NOUN fis-4238 145 13 sampling sample VERB fis-4238 145 14 ( ( PUNCT fis-4238 145 15 lhs lhs PROPN fis-4238 145 16 ) ) PUNCT fis-4238 145 17 , , PUNCT fis-4238 145 18 which which PRON fis-4238 145 19 is be AUX fis-4238 145 20 partially partially ADV fis-4238 145 21 justified justify VERB fis-4238 145 22 by by ADP fis-4238 145 23 its its PRON fis-4238 145 24 easy easy ADJ fis-4238 145 25 implementation implementation NOUN fis-4238 145 26 and and CCONJ fis-4238 145 27 the the DET fis-4238 145 28 achievement achievement NOUN fis-4238 145 29 of of ADP fis-4238 145 30 the the DET fis-4238 145 31 convergence convergence NOUN fis-4238 145 32 of of ADP fis-4238 145 33 results result NOUN fis-4238 145 34 without without ADP fis-4238 145 35 a a DET fis-4238 145 36 large large ADJ fis-4238 145 37 computational computational ADJ fis-4238 145 38 effort effort NOUN fis-4238 145 39 , , PUNCT fis-4238 145 40 requiring require VERB fis-4238 145 41 reasonable reasonable ADJ fis-4238 145 42 sample sample NOUN fis-4238 145 43 sizes size NOUN fis-4238 145 44 . . PUNCT fis-4238 146 1 therefore therefore ADV fis-4238 146 2 , , PUNCT fis-4238 146 3 the the DET fis-4238 146 4 mapping mapping NOUN fis-4238 146 5 of of ADP fis-4238 146 6 the the PRON fis-4238 146 7 in in ADP fis-4238 146 8 aleatory aleatory ADJ fis-4238 146 9 - - PUNCT fis-4238 146 10 type type NOUN fis-4238 146 11 uiqs uiqs ADJ fis-4238 146 12 of of ADP fis-4238 146 13 the the DET fis-4238 146 14 level level NOUN fis-4238 146 15 being be AUX fis-4238 146 16 calculated calculate VERB fis-4238 146 17 and and CCONJ fis-4238 146 18 the the DET fis-4238 146 19 jn jn PROPN fis-4238 146 20 srqs srqs PROPN fis-4238 146 21 from from ADP fis-4238 146 22 the the DET fis-4238 146 23 previous previous ADJ fis-4238 146 24 level(s level(s PROPN fis-4238 146 25 ) ) PUNCT fis-4238 146 26 of of ADP fis-4238 146 27 calculation calculation NOUN fis-4238 146 28 that that PRON fis-4238 146 29 are be AUX fis-4238 146 30 uiqs uiqs ADJ fis-4238 146 31 in in ADP fis-4238 146 32 the the DET fis-4238 146 33 current current ADJ fis-4238 146 34 level level NOUN fis-4238 146 35 of of ADP fis-4238 146 36 calculation calculation NOUN fis-4238 146 37 ( ( PUNCT fis-4238 146 38 from from ADP fis-4238 146 39 the the DET fis-4238 146 40 second second ADJ fis-4238 146 41 level level NOUN fis-4238 146 42 onwards onwards ADP fis-4238 146 43 ) ) PUNCT fis-4238 146 44 into into ADP fis-4238 146 45 the the DET fis-4238 146 46 kn kn PROPN fis-4238 146 47 srqs srqs NUM fis-4238 146 48 of of ADP fis-4238 146 49 the the DET fis-4238 146 50 current current ADJ fis-4238 146 51 level level NOUN fis-4238 146 52 of of ADP fis-4238 146 53 calculation calculation NOUN fis-4238 146 54 is be AUX fis-4238 146 55 expressed express VERB fis-4238 146 56 by by ADP fis-4238 146 57 the the DET fis-4238 146 58 following following ADJ fis-4238 146 59 mathematical mathematical ADJ fis-4238 146 60 model model NOUN fis-4238 146 61 ( ( PUNCT fis-4238 146 62 eqn eqn NOUN fis-4238 146 63 . . PROPN fis-4238 146 64 10 10 NUM fis-4238 146 65 ): ): PUNCT fis-4238 146 66   PROPN fis-4238 146 67   NOUN fis-4238 146 68   NOUN fis-4238 146 69   CCONJ fis-4238 146 70   NOUN fis-4238 146 71   NOUN fis-4238 146 72   NOUN fis-4238 146 73   NOUN fis-4238 146 74 1 1 NOUN fis-4238 146 75 2 2 NUM fis-4238 146 76 1 1 NUM fis-4238 146 77 2 2 NUM fis-4238 146 78 1 1 NUM fis-4238 146 79 2 2 NUM fis-4238 146 80 , , PUNCT fis-4238 146 81     SPACE fis-4238 146 82 , , PUNCT fis-4238 146 83     SPACE fis-4238 146 84 , , PUNCT fis-4238 146 85     SPACE fis-4238 146 86 , , PUNCT fis-4238 146 87     SPACE fis-4238 146 88 , , PUNCT fis-4238 146 89     SPACE fis-4238 146 90 , , PUNCT fis-4238 146 91     SPACE fis-4238 146 92 , , PUNCT fis-4238 146 93     SPACE fis-4238 146 94 , , PUNCT fis-4238 146 95     SPACE fis-4238 146 96 , , PUNCT fis-4238 146 97     SPACE fis-4238 146 98 , , PUNCT fis-4238 146 99     SPACE fis-4238 146 100 , , PUNCT fis-4238 146 101     SPACE fis-4238 146 102 , , PUNCT fis-4238 146 103     SPACE fis-4238 146 104 , , PUNCT fis-4238 146 105     SPACE fis-4238 146 106 , , PUNCT fis-4238 146 107     SPACE fis-4238 146 108 , , PUNCT fis-4238 146 109     SPACE fis-4238 146 110 i i PRON fis-4238 146 111 j j PROPN fis-4238 147 1 ki ki PROPN fis-4238 147 2 n n PROPN fis-4238 147 3 j j PROPN fis-4238 147 4 n n CCONJ fis-4238 147 5 k k PROPN fis-4238 147 6 nx nx PROPN fis-4238 148 1 x x X fis-4238 148 2 x x PUNCT fis-4238 148 3 x x PUNCT fis-4238 148 4 y y VERB fis-4238 148 5 y y PROPN fis-4238 148 6 y y PROPN fis-4238 148 7 y y PROPN fis-4238 148 8 z z PROPN fis-4238 148 9 z z PROPN fis-4238 148 10 z z NOUN fis-4238 148 11 z z NOUN fis-4238 148 12 ( ( PUNCT fis-4238 148 13 10 10 NUM fis-4238 148 14 ) ) PUNCT fis-4238 148 15 where where SCONJ fis-4238 148 16 ix ix ADV fis-4238 148 17 is be AUX fis-4238 148 18 the the DET fis-4238 148 19 column column NOUN fis-4238 148 20 vector vector NOUN fis-4238 148 21 of of ADP fis-4238 148 22 the the DET fis-4238 148 23 i i PROPN fis-4238 148 24 -th -th NOUN fis-4238 148 25 aleatory aleatory ADJ fis-4238 148 26 - - PUNCT fis-4238 148 27 type type NOUN fis-4238 148 28 uiq uiq PROPN fis-4238 148 29 , , PUNCT fis-4238 148 30 jy jy PROPN fis-4238 148 31 is be AUX fis-4238 148 32 the the DET fis-4238 148 33 column column NOUN fis-4238 148 34 vector vector NOUN fis-4238 148 35 of of ADP fis-4238 148 36 the the DET fis-4238 148 37 j j PROPN fis-4238 148 38 -th -th ADJ fis-4238 148 39 aleatory aleatory ADJ fis-4238 148 40 - - PUNCT fis-4238 148 41 type type NOUN fis-4238 148 42 uiq uiq ADJ fis-4238 148 43 in in ADP fis-4238 148 44 this this DET fis-4238 148 45 level level NOUN fis-4238 148 46 that that PRON fis-4238 148 47 had have AUX fis-4238 148 48 already already ADV fis-4238 148 49 been be AUX fis-4238 148 50 an an DET fis-4238 148 51 srq srq NOUN fis-4238 148 52 at at ADP fis-4238 148 53 a a DET fis-4238 148 54 previous previous ADJ fis-4238 148 55 level level NOUN fis-4238 148 56 , , PUNCT fis-4238 148 57   PROPN fis-4238 148 58 is be AUX fis-4238 148 59 the the DET fis-4238 148 60 mathematical mathematical ADJ fis-4238 148 61 model model NOUN fis-4238 148 62 which which PRON fis-4238 148 63 depends depend VERB fis-4238 148 64 on on ADP fis-4238 148 65 the the DET fis-4238 148 66 nature nature NOUN fis-4238 148 67 of of ADP fis-4238 148 68 the the DET fis-4238 148 69 problem problem NOUN fis-4238 148 70 , , PUNCT fis-4238 148 71 and and CCONJ fis-4238 148 72 kz kz PROPN fis-4238 148 73 is be AUX fis-4238 148 74 the the DET fis-4238 148 75 column column NOUN fis-4238 148 76 vector vector NOUN fis-4238 148 77 of of ADP fis-4238 148 78 the the DET fis-4238 148 79 k k PROPN fis-4238 148 80 -th -th PUNCT fis-4238 148 81 srq srq PROPN fis-4238 148 82 . . PUNCT fis-4238 149 1 each each DET fis-4238 149 2 uiq uiq ADJ fis-4238 149 3 or or CCONJ fis-4238 149 4 srq srq NOUN fis-4238 149 5 is be AUX fis-4238 149 6 a a DET fis-4238 149 7 column column NOUN fis-4238 149 8 vector vector NOUN fis-4238 149 9 of of ADP fis-4238 149 10 the the DET fis-4238 149 11 form form NOUN fis-4238 149 12 ( ( PUNCT fis-4238 149 13 eqn eqn NOUN fis-4238 149 14 . . PUNCT fis-4238 149 15 11 11 NUM fis-4238 149 16 ): ): PUNCT fis-4238 149 17   NOUN fis-4238 150 1   SYM fis-4238 150 2   NOUN fis-4238 150 3   SYM fis-4238 150 4   NOUN fis-4238 150 5   SYM fis-4238 150 6   NOUN fis-4238 150 7   SYM fis-4238 150 8   NOUN fis-4238 150 9   NOUN fis-4238 150 10   NOUN fis-4238 150 11   NOUN fis-4238 150 12   PROPN fis-4238 150 13   NOUN fis-4238 150 14 11 11 NUM fis-4238 150 15 2 2 NUM fis-4238 150 16 , , PUNCT fis-4238 150 17     SPACE fis-4238 150 18 , , PUNCT fis-4238 150 19     SPACE fis-4238 150 20 , , PUNCT fis-4238 150 21     SPACE fis-4238 150 22 , , PUNCT fis-4238 150 23     SPACE fis-4238 150 24 , , PUNCT fis-4238 150 25     SPACE fis-4238 150 26 , , PUNCT fis-4238 150 27     SPACE fis-4238 150 28 r r NOUN fis-4238 150 29 r r PROPN fis-4238 150 30 tn tn PROPN fis-4238 150 31 nr nr NOUN fis-4238 150 32 q q PROPN fis-4238 150 33 q q X fis-4238 150 34 q q X fis-4238 150 35 q q X fis-4238 150 36 q q X fis-4238 150 37 qv qv INTJ fis-4238 150 38 v v ADP fis-4238 150 39 v v PART fis-4238 150 40 v v NOUN fis-4238 150 41 vv vv NOUN fis-4238 150 42 ( ( PUNCT fis-4238 150 43 11 11 NUM fis-4238 150 44 ) ) PUNCT fis-4238 150 45 in in ADP fis-4238 150 46 which which PRON fis-4238 150 47 the the DET fis-4238 150 48 superscript superscript NOUN fis-4238 150 49 between between ADP fis-4238 150 50 parentheses parenthesis NOUN fis-4238 150 51 means mean VERB fis-4238 150 52 the the DET fis-4238 150 53 realization realization NOUN fis-4238 150 54 number number NOUN fis-4238 150 55 , , PUNCT fis-4238 150 56 r r NOUN fis-4238 150 57 is be AUX fis-4238 150 58 the the DET fis-4238 150 59 r r NOUN fis-4238 150 60 -th -th NOUN fis-4238 150 61 realization realization NOUN fis-4238 150 62 , , PUNCT fis-4238 150 63 and and CCONJ fis-4238 150 64 rn rn PROPN fis-4238 150 65 is be AUX fis-4238 150 66 the the DET fis-4238 150 67 number number NOUN fis-4238 150 68 of of ADP fis-4238 150 69 realizations realization NOUN fis-4238 150 70 , , PUNCT fis-4238 150 71 such such ADJ fis-4238 150 72 that that SCONJ fis-4238 150 73 the the DET fis-4238 150 74 condition condition NOUN fis-4238 150 75   NOUN fis-4238 150 76   NOUN fis-4238 150 77 |1 |1 NOUN fis-4238 150 78 r r NOUN fis-4238 150 79 rr rr NOUN fis-4238 150 80 n n ADV fis-4238 150 81 holds hold VERB fis-4238 150 82 , , PUNCT fis-4238 150 83 where where SCONJ fis-4238 150 84   NOUN fis-4238 150 85 is be AUX fis-4238 150 86 the the DET fis-4238 150 87 closed closed ADJ fis-4238 150 88 set set NOUN fis-4238 150 89 of of ADP fis-4238 150 90 natural natural ADJ fis-4238 150 91 numbers number NOUN fis-4238 150 92 . . PUNCT fis-4238 151 1 in in ADP fis-4238 151 2 other other ADJ fis-4238 151 3 words word NOUN fis-4238 151 4 , , PUNCT fis-4238 151 5 the the DET fis-4238 151 6 column column NOUN fis-4238 151 7 vector vector NOUN fis-4238 151 8 qv qv INTJ fis-4238 151 9 can can AUX fis-4238 151 10 represent represent VERB fis-4238 151 11 ix ix ADV fis-4238 151 12 , , PUNCT fis-4238 151 13 jy jy PROPN fis-4238 151 14 , , PUNCT fis-4238 151 15 or or CCONJ fis-4238 151 16 kz kz PROPN fis-4238 151 17 . . PUNCT fis-4238 152 1 analogously analogously ADV fis-4238 152 2 , , PUNCT fis-4238 152 3 for for ADP fis-4238 152 4 example example NOUN fis-4238 152 5 , , PUNCT fis-4238 152 6   NOUN fis-4238 152 7 r r X fis-4238 152 8 qv qv X fis-4238 152 9 can can AUX fis-4238 152 10 assume assume VERB fis-4238 152 11   NOUN fis-4238 152 12 r r PRON fis-4238 152 13 ix ix X fis-4238 152 14 , , PUNCT fis-4238 152 15   PROPN fis-4238 152 16 r r X fis-4238 152 17 jy jy PROPN fis-4238 152 18 , , PUNCT fis-4238 152 19 or or CCONJ fis-4238 152 20   NOUN fis-4238 152 21 r r DET fis-4238 152 22 kz kz PROPN fis-4238 152 23 . . PUNCT fis-4238 153 1 if if SCONJ fis-4238 153 2 the the DET fis-4238 153 3 r. r. PROPN fis-4238 153 4 b. b. PROPN fis-4238 153 5 p. p. PROPN fis-4238 153 6 nonato nonato PROPN fis-4238 153 7 , , PUNCT fis-4238 153 8 frattura frattura PROPN fis-4238 153 9 ed ed PROPN fis-4238 153 10 integrità integrità PROPN fis-4238 153 11 strutturale strutturale PROPN fis-4238 153 12 , , PUNCT fis-4238 153 13 65 65 NUM fis-4238 153 14 ( ( PUNCT fis-4238 153 15 2023 2023 NUM fis-4238 153 16 ) ) PUNCT fis-4238 153 17 17 17 NUM fis-4238 153 18 - - SYM fis-4238 153 19 37 37 NUM fis-4238 153 20 ; ; PUNCT fis-4238 153 21 doi doi NOUN fis-4238 153 22 : : PUNCT fis-4238 153 23 10.3221 10.3221 NUM fis-4238 153 24 / / SYM fis-4238 153 25 igf igf PROPN fis-4238 153 26 - - NOUN fis-4238 153 27 esis.66.02 esis.66.02 NOUN fis-4238 153 28 23 23 NUM fis-4238 153 29 uncertainty uncertainty NOUN fis-4238 153 30 propagation propagation NOUN fis-4238 153 31 produces produce VERB fis-4238 153 32 kn kn PROPN fis-4238 153 33 srqs srqs PROPN fis-4238 153 34 throughout throughout ADP fis-4238 153 35 all all DET fis-4238 153 36 levels level NOUN fis-4238 153 37 and and CCONJ fis-4238 153 38 rounds round NOUN fis-4238 153 39 , , PUNCT fis-4238 153 40 then then ADV fis-4238 153 41 k k PROPN fis-4238 153 42 rn rn PROPN fis-4238 153 43 n n PROPN fis-4238 153 44 values value NOUN fis-4238 153 45 are be AUX fis-4238 153 46 obtained obtain VERB fis-4238 153 47 as as ADP fis-4238 153 48 response response NOUN fis-4238 153 49 . . PUNCT fis-4238 154 1 if if SCONJ fis-4238 154 2 a a DET fis-4238 154 3 parameter parameter NOUN fis-4238 154 4 presents present VERB fis-4238 154 5 a a DET fis-4238 154 6 variation variation NOUN fis-4238 154 7 which which DET fis-4238 154 8 magnitude magnitude NOUN fis-4238 154 9 can can AUX fis-4238 154 10 be be AUX fis-4238 154 11 neglected neglect VERB fis-4238 154 12 for for ADP fis-4238 154 13 the the DET fis-4238 154 14 purposes purpose NOUN fis-4238 154 15 of of ADP fis-4238 154 16 the the DET fis-4238 154 17 analysis analysis NOUN fis-4238 154 18 being be AUX fis-4238 154 19 conducted conduct VERB fis-4238 154 20 or or CCONJ fis-4238 154 21 its its PRON fis-4238 154 22 value value NOUN fis-4238 154 23 is be AUX fis-4238 154 24 known know VERB fis-4238 154 25 exactly exactly ADV fis-4238 154 26 , , PUNCT fis-4238 154 27 then then ADV fis-4238 154 28 it it PRON fis-4238 154 29 can can AUX fis-4238 154 30 be be AUX fis-4238 154 31 assumed assume VERB fis-4238 154 32 as as ADP fis-4238 154 33 a a DET fis-4238 154 34 deterministic deterministic ADJ fis-4238 154 35 quantity quantity NOUN fis-4238 154 36 . . PUNCT fis-4238 155 1 generally generally ADV fis-4238 155 2 , , PUNCT fis-4238 155 3 computational computational ADJ fis-4238 155 4 capacity capacity NOUN fis-4238 155 5 and and CCONJ fis-4238 155 6 objectives objective NOUN fis-4238 155 7 of of ADP fis-4238 155 8 the the DET fis-4238 155 9 analysis analysis NOUN fis-4238 155 10 guide guide NOUN fis-4238 155 11 through through ADP fis-4238 155 12 the the DET fis-4238 155 13 decision decision NOUN fis-4238 155 14 of of ADP fis-4238 155 15 considering consider VERB fis-4238 155 16 a a DET fis-4238 155 17 parameter parameter NOUN fis-4238 155 18 as as ADP fis-4238 155 19 deterministic deterministic ADJ fis-4238 155 20 . . PUNCT fis-4238 156 1 the the DET fis-4238 156 2 application application NOUN fis-4238 156 3 of of ADP fis-4238 156 4 the the DET fis-4238 156 5 mathematical mathematical ADJ fis-4238 156 6 model model NOUN fis-4238 156 7 of of ADP fis-4238 156 8 eqn eqn PROPN fis-4238 156 9 . . PUNCT fis-4238 156 10 10 10 NUM fis-4238 156 11 in in ADP fis-4238 156 12 the the DET fis-4238 156 13 first first ADJ fis-4238 156 14 level level NOUN fis-4238 156 15 is be AUX fis-4238 156 16 related relate VERB fis-4238 156 17 to to ADP fis-4238 156 18 the the DET fis-4238 156 19 calculation calculation NOUN fis-4238 156 20 of of ADP fis-4238 156 21 the the DET fis-4238 156 22 uiq uiq ADJ fis-4238 156 23 stress stress NOUN fis-4238 156 24 range range NOUN fis-4238 156 25 rs rs NOUN fis-4238 156 26 , , PUNCT fis-4238 156 27 which which PRON fis-4238 156 28 can can AUX fis-4238 156 29 be be AUX fis-4238 156 30 expressed express VERB fis-4238 156 31 in in ADP fis-4238 156 32 terms term NOUN fis-4238 156 33 of of ADP fis-4238 156 34 geometrical geometrical ADJ fis-4238 156 35 parameters parameter NOUN fis-4238 156 36 and and CCONJ fis-4238 156 37 applied applied ADJ fis-4238 156 38 loads load NOUN fis-4238 156 39 , , PUNCT fis-4238 156 40 as as SCONJ fis-4238 156 41 shown show VERB fis-4238 156 42 in in ADP fis-4238 156 43 eqn eqn PROPN fis-4238 156 44 . . PROPN fis-4238 157 1 12 12 NUM fis-4238 157 2 , , PUNCT fis-4238 157 3   NOUN fis-4238 157 4   SYM fis-4238 157 5   NOUN fis-4238 157 6   PROPN fis-4238 157 7   NOUN fis-4238 157 8   PUNCT fis-4238 158 1   PROPN fis-4238 158 2   PROPN fis-4238 159 1   VERB fis-4238 159 2   NOUN fis-4238 159 3   NUM fis-4238 159 4   NUM fis-4238 159 5   PROPN fis-4238 159 6   NOUN fis-4238 159 7 1 1 NOUN fis-4238 159 8 2 2 NUM fis-4238 159 9 1 1 NUM fis-4238 159 10 2 2 NUM fis-4238 159 11 , , PUNCT fis-4238 159 12 , , PUNCT fis-4238 159 13 , , PUNCT fis-4238 159 14 , , PUNCT fis-4238 159 15 , , PUNCT fis-4238 159 16 , , PUNCT fis-4238 159 17 , , PUNCT fis-4238 159 18 , , PUNCT fis-4238 159 19 , , PUNCT fis-4238 159 20 , , PUNCT fis-4238 159 21 , , PUNCT fis-4238 159 22 , , PUNCT fis-4238 159 23 1 1 NUM fis-4238 159 24 r r NOUN fis-4238 159 25 s s PROPN fis-4238 159 26 t t NOUN fis-4238 159 27 r r NOUN fis-4238 159 28 r r NOUN fis-4238 159 29 r r NOUN fis-4238 159 30 r r NOUN fis-4238 159 31 s s NOUN fis-4238 159 32 n n ADP fis-4238 159 33 t t PROPN fis-4238 159 34 n n CCONJ fis-4238 159 35 rth rth PROPN fis-4238 159 36 r r PROPN fis-4238 159 37 ru ru PROPN fis-4238 159 38 rr rr PROPN fis-4238 160 1 ns ns NUM fis-4238 160 2 g g PROPN fis-4238 160 3 g g PROPN fis-4238 160 4 g g PROPN fis-4238 160 5 g g PROPN fis-4238 160 6 p p PROPN fis-4238 160 7 p p PROPN fis-4238 160 8 p p X fis-4238 160 9 p p X fis-4238 160 10 s s X fis-4238 160 11 s s X fis-4238 160 12 s s X fis-4238 160 13 ( ( PUNCT fis-4238 160 14 12 12 NUM fis-4238 160 15 ) ) PUNCT fis-4238 160 16 where where SCONJ fis-4238 160 17 rths rth NOUN fis-4238 160 18 ( ( PUNCT fis-4238 160 19 presented present VERB fis-4238 160 20 in in ADP fis-4238 160 21 eqn eqn NOUN fis-4238 160 22 . . PROPN fis-4238 161 1 5 5 NUM fis-4238 161 2 ) ) PUNCT fis-4238 162 1 and and CCONJ fis-4238 162 2 rus rus NOUN fis-4238 162 3 are be AUX fis-4238 162 4 ranges range NOUN fis-4238 162 5 that that SCONJ fis-4238 162 6 , , PUNCT fis-4238 162 7 respectively respectively ADV fis-4238 162 8 , , PUNCT fis-4238 162 9 refer refer VERB fis-4238 162 10 to to ADP fis-4238 162 11 the the DET fis-4238 162 12 threshold threshold NOUN fis-4238 162 13 ( ( PUNCT fis-4238 162 14 below below ADP fis-4238 162 15 which which PRON fis-4238 162 16 the the DET fis-4238 162 17 crack crack NOUN fis-4238 162 18 does do AUX fis-4238 162 19 not not PART fis-4238 162 20 grow grow VERB fis-4238 162 21 ) ) PUNCT fis-4238 162 22 and and CCONJ fis-4238 162 23 ultimate ultimate ADJ fis-4238 162 24 stress stress NOUN fis-4238 162 25 ( ( PUNCT fis-4238 162 26 which which PRON fis-4238 162 27 causes cause VERB fis-4238 162 28 material material ADJ fis-4238 162 29 rupture rupture NOUN fis-4238 162 30 ) ) PUNCT fis-4238 162 31 , , PUNCT fis-4238 162 32 sn sn PROPN fis-4238 162 33 is be AUX fis-4238 162 34 the the DET fis-4238 162 35 number number NOUN fis-4238 162 36 of of ADP fis-4238 162 37 geometrical geometrical ADJ fis-4238 162 38 parameters parameter NOUN fis-4238 162 39 , , PUNCT fis-4238 162 40 tn tn PROPN fis-4238 162 41 is be AUX fis-4238 162 42 the the DET fis-4238 162 43 number number NOUN fis-4238 162 44 of of ADP fis-4238 162 45 applied apply VERB fis-4238 162 46 loads load NOUN fis-4238 162 47 , , PUNCT fis-4238 162 48 sg sg PROPN fis-4238 162 49 is be AUX fis-4238 162 50 the the DET fis-4238 162 51 vector vector NOUN fis-4238 162 52 of of ADP fis-4238 162 53 the the DET fis-4238 162 54 s s X fis-4238 162 55 -th -th ADJ fis-4238 162 56 geometrical geometrical ADJ fis-4238 162 57 parameter parameter NOUN fis-4238 162 58 , , PUNCT fis-4238 162 59 and and CCONJ fis-4238 162 60 tp tp NOUN fis-4238 162 61 is be AUX fis-4238 162 62 the the DET fis-4238 162 63 vector vector NOUN fis-4238 162 64 of of ADP fis-4238 162 65 the the DET fis-4238 162 66 t t PROPN fis-4238 162 67 -th -th PUNCT fis-4238 162 68 applied apply VERB fis-4238 162 69 load load NOUN fis-4238 162 70 . . PUNCT fis-4238 163 1 when when SCONJ fis-4238 163 2 eqn eqn VERB fis-4238 163 3 . . PUNCT fis-4238 164 1 10 10 NUM fis-4238 164 2 is be AUX fis-4238 164 3 applied apply VERB fis-4238 164 4 to to ADP fis-4238 164 5 the the DET fis-4238 164 6 subsequent subsequent ADJ fis-4238 164 7 levels level NOUN fis-4238 164 8 , , PUNCT fis-4238 164 9 rs rs X fis-4238 164 10 is be AUX fis-4238 164 11 now now ADV fis-4238 164 12 an an DET fis-4238 164 13 uiq uiq NOUN fis-4238 164 14 of of ADP fis-4238 164 15 the the DET fis-4238 164 16 srq srq PROPN fis-4238 164 17 rk rk PROPN fis-4238 164 18 ( ( PUNCT fis-4238 164 19 see see VERB fis-4238 164 20 eqn eqn NOUN fis-4238 164 21 . . PROPN fis-4238 164 22 13 13 NUM fis-4238 164 23 ) ) PUNCT fis-4238 164 24 . . PUNCT fis-4238 165 1 the the DET fis-4238 165 2 other other ADJ fis-4238 165 3 uiqs uiqs NOUN fis-4238 165 4 are be AUX fis-4238 165 5 a a PRON fis-4238 165 6 , , PUNCT fis-4238 165 7 and and CCONJ fis-4238 165 8 y y PROPN fis-4238 165 9 . . PUNCT fis-4238 166 1 in in ADP fis-4238 166 2 other other ADJ fis-4238 166 3 words word NOUN fis-4238 166 4 , , PUNCT fis-4238 166 5 as as SCONJ fis-4238 166 6 y y PROPN fis-4238 166 7 and and CCONJ fis-4238 166 8 rs rs PROPN fis-4238 166 9 are be AUX fis-4238 166 10 srqs srqs ADJ fis-4238 166 11 in in ADP fis-4238 166 12 the the DET fis-4238 166 13 first first ADJ fis-4238 166 14 level level NOUN fis-4238 166 15 of of ADP fis-4238 166 16 each each DET fis-4238 166 17 round round NOUN fis-4238 166 18 , , PUNCT fis-4238 166 19 rk rk NOUN fis-4238 166 20 is be AUX fis-4238 166 21 an an DET fis-4238 166 22 srq srq NOUN fis-4238 166 23 in in ADP fis-4238 166 24 the the DET fis-4238 166 25 second second ADJ fis-4238 166 26 level level NOUN fis-4238 166 27 of of ADP fis-4238 166 28 the the DET fis-4238 166 29 referred refer VERB fis-4238 166 30 round round NOUN fis-4238 166 31 . . PUNCT fis-4238 167 1 therefore therefore ADV fis-4238 167 2 , , PUNCT fis-4238 167 3 rk rk PROPN fis-4238 167 4 is be AUX fis-4238 167 5 a a DET fis-4238 167 6 function function NOUN fis-4238 167 7 of of ADP fis-4238 167 8 y y PROPN fis-4238 167 9 , , PUNCT fis-4238 167 10 rs rs INTJ fis-4238 167 11 , , PUNCT fis-4238 167 12 and and CCONJ fis-4238 167 13 a a DET fis-4238 167 14 ( ( PUNCT fis-4238 167 15 eqn eqn NOUN fis-4238 167 16 . . PROPN fis-4238 167 17 13 13 NUM fis-4238 167 18 ): ): PUNCT fis-4238 167 19   PROPN fis-4238 167 20   INTJ fis-4238 167 21 , , PUNCT fis-4238 167 22     SPACE fis-4238 167 23 , , PUNCT fis-4238 167 24     SPACE fis-4238 167 25 r r NOUN fis-4238 167 26 rfk rfk PROPN fis-4238 167 27 y y PROPN fis-4238 167 28 s s PROPN fis-4238 167 29 a a DET fis-4238 167 30 ( ( PUNCT fis-4238 167 31 13 13 NUM fis-4238 167 32 ) ) PUNCT fis-4238 167 33 in in ADP fis-4238 167 34 the the DET fis-4238 167 35 case case NOUN fis-4238 167 36 of of ADP fis-4238 167 37 eqn eqn NOUN fis-4238 167 38 . . PUNCT fis-4238 167 39 2 2 NUM fis-4238 167 40 ( ( PUNCT fis-4238 167 41 already already ADV fis-4238 167 42 updated update VERB fis-4238 167 43 for for ADP fis-4238 167 44 the the DET fis-4238 167 45 concept concept NOUN fis-4238 167 46 of of ADP fis-4238 167 47 number number NOUN fis-4238 167 48 of of ADP fis-4238 167 49 effective effective ADJ fis-4238 167 50 cycles cycle NOUN fis-4238 167 51 , , PUNCT fis-4238 167 52 n n PROPN fis-4238 167 53 ) ) PUNCT fis-4238 167 54 , , PUNCT fis-4238 167 55 the the DET fis-4238 167 56 srq srq NOUN fis-4238 167 57 /da /da PUNCT fis-4238 168 1 dn dn PROPN fis-4238 168 2 requires require VERB fis-4238 168 3 three three NUM fis-4238 168 4 uiqs uiqs ADJ fis-4238 168 5 : : PUNCT fis-4238 168 6 rk rk PROPN fis-4238 168 7 ( ( PUNCT fis-4238 168 8 3rd 3rd NOUN fis-4238 168 9 . . PUNCT fis-4238 169 1 level level NOUN fis-4238 169 2 ) ) PUNCT fis-4238 169 3 , , PUNCT fis-4238 170 1 c c PROPN fis-4238 170 2 ( ( PUNCT fis-4238 170 3 1st 1st ADJ fis-4238 170 4 . . PUNCT fis-4238 171 1 level level NOUN fis-4238 171 2 ) ) PUNCT fis-4238 171 3 , , PUNCT fis-4238 171 4 and and CCONJ fis-4238 171 5 m m PROPN fis-4238 171 6 ( ( PUNCT fis-4238 171 7 1st 1st ADJ fis-4238 171 8 . . PUNCT fis-4238 172 1 level level NOUN fis-4238 172 2 ) ) PUNCT fis-4238 172 3 . . PUNCT fis-4238 173 1 therefore therefore ADV fis-4238 173 2 , , PUNCT fis-4238 173 3 /da /da PUNCT fis-4238 173 4 dn dn NOUN fis-4238 173 5 is be AUX fis-4238 173 6 an an DET fis-4238 173 7 srq srq NOUN fis-4238 173 8 in in ADP fis-4238 173 9 the the DET fis-4238 173 10 third third ADJ fis-4238 173 11 level level NOUN fis-4238 173 12 because because SCONJ fis-4238 173 13 it it PRON fis-4238 173 14 depends depend VERB fis-4238 173 15 on on ADP fis-4238 173 16 at at ADV fis-4238 173 17 least least ADV fis-4238 173 18 one one NUM fis-4238 173 19 srq srq NOUN fis-4238 173 20 from from ADP fis-4238 173 21 the the DET fis-4238 173 22 second second ADJ fis-4238 173 23 level level NOUN fis-4238 173 24 ( ( PUNCT fis-4238 173 25 rk rk NOUN fis-4238 173 26 in in ADP fis-4238 173 27 eqn eqn NOUN fis-4238 173 28 . . PUNCT fis-4238 174 1 14 14 NUM fis-4238 174 2 ) ) PUNCT fis-4238 174 3 , , PUNCT fis-4238 174 4 and and CCONJ fis-4238 174 5 the the DET fis-4238 174 6 fourth fourth ADJ fis-4238 174 7 level level NOUN fis-4238 174 8 of of ADP fis-4238 174 9 calculation calculation NOUN fis-4238 174 10 refers refer VERB fis-4238 174 11 to to ADP fis-4238 174 12 the the DET fis-4238 174 13 obtainment obtainment NOUN fis-4238 174 14 of of ADP fis-4238 174 15 the the DET fis-4238 174 16 srq srq ADJ fis-4238 174 17 number number NOUN fis-4238 174 18 of of ADP fis-4238 174 19 cycles cycle NOUN fis-4238 174 20 n n CCONJ fis-4238 174 21 from from ADP fis-4238 174 22 the the DET fis-4238 174 23 term term NOUN fis-4238 174 24 /da /da PUNCT fis-4238 175 1 dn dn PROPN fis-4238 175 2 ( ( PUNCT fis-4238 175 3 eqn eqn PROPN fis-4238 175 4 . . PROPN fis-4238 175 5 15 15 NUM fis-4238 175 6 ) ) PUNCT fis-4238 175 7 , , PUNCT fis-4238 175 8 which which PRON fis-4238 175 9 finishes finish VERB fis-4238 175 10 one one NUM fis-4238 175 11 round round NOUN fis-4238 175 12 of of ADP fis-4238 175 13 calculation calculation NOUN fis-4238 175 14 . . PUNCT fis-4238 176 1 the the DET fis-4238 176 2 current current ADJ fis-4238 176 3 values value NOUN fis-4238 176 4 of of ADP fis-4238 176 5 crack crack VERB fis-4238 176 6 semi semi NOUN fis-4238 176 7 - - NOUN fis-4238 176 8 widths width NOUN fis-4238 176 9 , , PUNCT fis-4238 176 10 stress stress NOUN fis-4238 176 11 intensity intensity NOUN fis-4238 176 12 factor factor NOUN fis-4238 176 13 and and CCONJ fis-4238 176 14 current current ADJ fis-4238 176 15 number number NOUN fis-4238 176 16 of of ADP fis-4238 176 17 effective effective ADJ fis-4238 176 18 stress stress NOUN fis-4238 176 19 cycles cycle NOUN fis-4238 176 20 are be AUX fis-4238 176 21 updated update VERB fis-4238 176 22 for for ADP fis-4238 176 23 the the DET fis-4238 176 24 structural structural ADJ fis-4238 176 25 members member NOUN fis-4238 176 26 that that PRON fis-4238 176 27 have have AUX fis-4238 176 28 not not PART fis-4238 176 29 failed fail VERB fis-4238 176 30 yet yet ADV fis-4238 176 31 . . PUNCT fis-4238 177 1 thenceforth thenceforth NOUN fis-4238 177 2 , , PUNCT fis-4238 177 3 the the DET fis-4238 177 4 process process NOUN fis-4238 177 5 restarts restart VERB fis-4238 177 6 to to ADP fis-4238 177 7 a a DET fis-4238 177 8 new new ADJ fis-4238 177 9 round round NOUN fis-4238 177 10 of of ADP fis-4238 177 11 calculation calculation NOUN fis-4238 177 12 . . PUNCT fis-4238 178 1   NOUN fis-4238 179 1   INTJ fis-4238 179 2 , , PUNCT fis-4238 179 3       SPACE fis-4238 179 4 , , PUNCT fis-4238 179 5     SPACE fis-4238 179 6 rf rf PROPN fis-4238 179 7 da da PROPN fis-4238 179 8 k k PROPN fis-4238 180 1 c c NOUN fis-4238 180 2 m m VERB fis-4238 180 3 dn dn NOUN fis-4238 180 4 ( ( PUNCT fis-4238 180 5 14 14 NUM fis-4238 180 6 ) ) PUNCT fis-4238 180 7   NOUN fis-4238 180 8   PROPN fis-4238 181 1   PROPN fis-4238 181 2   PROPN fis-4238 182 1   PROPN fis-4238 182 2   PROPN fis-4238 182 3 f f X fis-4238 182 4 da da VERB fis-4238 182 5 n n ADV fis-4238 182 6 dn dn NOUN fis-4238 182 7 ( ( PUNCT fis-4238 182 8 15 15 NUM fis-4238 182 9 ) ) PUNCT fis-4238 182 10 sensitivity sensitivity NOUN fis-4238 182 11 analysis analysis NOUN fis-4238 182 12 in in ADP fis-4238 182 13 the the DET fis-4238 182 14 context context NOUN fis-4238 182 15 of of ADP fis-4238 182 16 an an DET fis-4238 182 17 uncertain uncertain ADJ fis-4238 182 18 fatigue fatigue NOUN fis-4238 182 19 analysis analysis NOUN fis-4238 182 20 , , PUNCT fis-4238 182 21 the the DET fis-4238 182 22 sensitivity sensitivity NOUN fis-4238 182 23 analysis analysis NOUN fis-4238 182 24 ( ( PUNCT fis-4238 182 25 sa sa NOUN fis-4238 182 26 ) ) PUNCT fis-4238 182 27 is be AUX fis-4238 182 28 determinant determinant ADJ fis-4238 182 29 to to ADP fis-4238 182 30 both both PRON fis-4238 182 31 feasibility feasibility NOUN fis-4238 182 32 and and CCONJ fis-4238 182 33 time time NOUN fis-4238 182 34 of of ADP fis-4238 182 35 analysis analysis NOUN fis-4238 182 36 , , PUNCT fis-4238 182 37 in in ADP fis-4238 182 38 order order NOUN fis-4238 182 39 to to PART fis-4238 182 40 focus focus VERB fis-4238 182 41 on on ADP fis-4238 182 42 the the DET fis-4238 182 43 most most ADV fis-4238 182 44 influencing influence VERB fis-4238 182 45 uiqs uiqs ADJ fis-4238 182 46 [ [ X fis-4238 182 47 32 32 NUM fis-4238 182 48 , , PUNCT fis-4238 182 49 33 33 NUM fis-4238 182 50 ] ] PUNCT fis-4238 182 51 . . PUNCT fis-4238 183 1 parameters parameter NOUN fis-4238 183 2 involved involve VERB fis-4238 183 3 in in ADP fis-4238 183 4 fatigue fatigue NOUN fis-4238 183 5 analyses analysis NOUN fis-4238 183 6 of of ADP fis-4238 183 7 structural structural ADJ fis-4238 183 8 systems system NOUN fis-4238 183 9 were be AUX fis-4238 183 10 subjected subject VERB fis-4238 183 11 to to AUX fis-4238 183 12 sas sas VERB fis-4238 183 13 in in ADP fis-4238 183 14 order order NOUN fis-4238 183 15 to to PART fis-4238 183 16 verify verify VERB fis-4238 183 17 how how SCONJ fis-4238 183 18 the the DET fis-4238 183 19 uncertainty uncertainty NOUN fis-4238 183 20 in in ADP fis-4238 183 21 the the DET fis-4238 183 22 considered consider VERB fis-4238 183 23 uiqs uiqs ADJ fis-4238 183 24 influence influence NOUN fis-4238 183 25 the the DET fis-4238 183 26 calculated calculated ADJ fis-4238 183 27 srqs srqs PROPN fis-4238 183 28 . . PUNCT fis-4238 183 29 fatigue fatigue NOUN fis-4238 183 30 life life NOUN fis-4238 183 31 of of ADP fis-4238 183 32 complex complex ADJ fis-4238 183 33 mechanical mechanical ADJ fis-4238 183 34 components component NOUN fis-4238 183 35 were be AUX fis-4238 183 36 subjected subject VERB fis-4238 183 37 to to ADP fis-4238 183 38 a a DET fis-4238 183 39 reliability reliability NOUN fis-4238 183 40 - - PUNCT fis-4238 183 41 based base VERB fis-4238 183 42 sensitivity sensitivity NOUN fis-4238 183 43 [ [ X fis-4238 183 44 34 34 NUM fis-4238 183 45 ] ] SYM fis-4238 183 46 . . PUNCT fis-4238 184 1 material material NOUN fis-4238 184 2 and and CCONJ fis-4238 184 3 geometrical geometrical ADJ fis-4238 184 4 uiqs uiqs ADJ fis-4238 184 5 were be AUX fis-4238 184 6 considered consider VERB fis-4238 184 7 the the DET fis-4238 184 8 most most ADV fis-4238 184 9 influencing influence VERB fis-4238 184 10 factors factor NOUN fis-4238 184 11 in in ADP fis-4238 184 12 the the DET fis-4238 184 13 life life NOUN fis-4238 184 14 of of ADP fis-4238 184 15 hollow hollow ADJ fis-4238 184 16 extrusion extrusion NOUN fis-4238 184 17 dies die VERB fis-4238 184 18 [ [ X fis-4238 184 19 35 35 NUM fis-4238 184 20 ] ] PUNCT fis-4238 184 21 . . PUNCT fis-4238 185 1 a a DET fis-4238 185 2 reliability reliability NOUN fis-4238 185 3 - - PUNCT fis-4238 185 4 based base VERB fis-4238 185 5 fatigue fatigue NOUN fis-4238 185 6 assessment assessment NOUN fis-4238 185 7 methodology methodology NOUN fis-4238 185 8 of of ADP fis-4238 185 9 steel steel NOUN fis-4238 185 10 bridges bridge NOUN fis-4238 185 11 was be AUX fis-4238 185 12 also also ADV fis-4238 185 13 proposed propose VERB fis-4238 185 14 [ [ X fis-4238 185 15 36 36 NUM fis-4238 185 16 ] ] PUNCT fis-4238 185 17 . . PUNCT fis-4238 186 1 api api NOUN fis-4238 186 2 steels steel NOUN fis-4238 186 3 in in ADP fis-4238 186 4 gaseous gaseous ADJ fis-4238 186 5 hydrogen hydrogen NOUN fis-4238 186 6 were be AUX fis-4238 186 7 also also ADV fis-4238 186 8 objects object NOUN fis-4238 186 9 of of ADP fis-4238 186 10 a a DET fis-4238 186 11 sa sa NOUN fis-4238 186 12 related relate VERB fis-4238 186 13 to to ADP fis-4238 186 14 its its PRON fis-4238 186 15 fatigue fatigue NOUN fis-4238 186 16 crack crack VERB fis-4238 186 17 growth growth NOUN fis-4238 186 18 model model NOUN fis-4238 186 19 [ [ X fis-4238 186 20 37 37 NUM fis-4238 186 21 ] ] PUNCT fis-4238 186 22 . . PUNCT fis-4238 187 1 a a DET fis-4238 187 2 study study NOUN fis-4238 187 3 of of ADP fis-4238 187 4 the the DET fis-4238 187 5 variability variability NOUN fis-4238 187 6 of of ADP fis-4238 187 7 the the DET fis-4238 187 8 microstructural microstructural ADJ fis-4238 187 9 components component NOUN fis-4238 187 10 relatively relatively ADV fis-4238 187 11 to to ADP fis-4238 187 12 fatigue fatigue NOUN fis-4238 187 13 phenomenon phenomenon NOUN fis-4238 187 14 through through ADP fis-4238 187 15 a a DET fis-4238 187 16 sa sa NOUN fis-4238 187 17 was be AUX fis-4238 187 18 performed perform VERB fis-4238 187 19 [ [ PUNCT fis-4238 187 20 38 38 NUM fis-4238 187 21 ] ] PUNCT fis-4238 187 22 . . PUNCT fis-4238 188 1 a a DET fis-4238 188 2 sa sa NOUN fis-4238 188 3 of of ADP fis-4238 188 4 fatigue fatigue NOUN fis-4238 188 5 crack crack NOUN fis-4238 188 6 initiation initiation NOUN fis-4238 188 7 was be AUX fis-4238 188 8 conducted conduct VERB fis-4238 188 9 related relate VERB fis-4238 188 10 to to ADP fis-4238 188 11 notch notch VERB fis-4238 188 12 morphology morphology NOUN fis-4238 188 13 parameters parameter NOUN fis-4238 188 14 of of ADP fis-4238 188 15 a a DET fis-4238 188 16 double double ADJ fis-4238 188 17 - - PUNCT fis-4238 188 18 notched notch VERB fis-4238 188 19 specimen speciman NOUN fis-4238 188 20 [ [ X fis-4238 188 21 39 39 NUM fis-4238 188 22 ] ] PUNCT fis-4238 188 23 . . PUNCT fis-4238 189 1 a a DET fis-4238 189 2 fatigue fatigue NOUN fis-4238 189 3 reliability reliability NOUN fis-4238 189 4 analysis analysis NOUN fis-4238 189 5 followed follow VERB fis-4238 189 6 by by ADP fis-4238 189 7 a a DET fis-4238 189 8 sa sa NOUN fis-4238 189 9 was be AUX fis-4238 189 10 accomplished accomplish VERB fis-4238 189 11 on on ADP fis-4238 189 12 models model NOUN fis-4238 189 13 of of ADP fis-4238 189 14 turbine turbine NOUN fis-4238 189 15 discs disc NOUN fis-4238 189 16 considering consider VERB fis-4238 189 17 multi multi ADJ fis-4238 189 18 - - NOUN fis-4238 189 19 source source NOUN fis-4238 189 20 uncertainties uncertainty NOUN fis-4238 189 21 [ [ X fis-4238 189 22 40 40 NUM fis-4238 189 23 ] ] PUNCT fis-4238 189 24 . . PUNCT fis-4238 190 1 in in ADP fis-4238 190 2 this this DET fis-4238 190 3 paper paper NOUN fis-4238 190 4 , , PUNCT fis-4238 190 5 a a DET fis-4238 190 6 double double ADJ fis-4238 190 7 sa sa NOUN fis-4238 190 8 was be AUX fis-4238 190 9 accomplished accomplish VERB fis-4238 190 10 : : PUNCT fis-4238 190 11 the the DET fis-4238 190 12 first first ADJ fis-4238 190 13 computational computational ADJ fis-4238 190 14 model model NOUN fis-4238 190 15 was be AUX fis-4238 190 16 subjected subject VERB fis-4238 190 17 to to ADP fis-4238 190 18 the the DET fis-4238 190 19 elementary elementary ADJ fis-4238 190 20 effects effect NOUN fis-4238 190 21 method method NOUN fis-4238 190 22 ( ( PUNCT fis-4238 190 23 eem eem PROPN fis-4238 190 24 ) ) PUNCT fis-4238 190 25 aiming aim VERB fis-4238 190 26 at at ADP fis-4238 190 27 eliminating eliminate VERB fis-4238 190 28 four four NUM fis-4238 190 29 of of ADP fis-4238 190 30 the the DET fis-4238 190 31 eight eight NUM fis-4238 190 32 uiqs uiqs ADJ fis-4238 190 33 to to PART fis-4238 190 34 decrease decrease VERB fis-4238 190 35 the the DET fis-4238 190 36 computational computational ADJ fis-4238 190 37 cost cost NOUN fis-4238 190 38 . . PUNCT fis-4238 191 1 thenceforth thenceforth NOUN fis-4238 191 2 , , PUNCT fis-4238 191 3 the the DET fis-4238 191 4 four four NUM fis-4238 191 5 most most ADV fis-4238 191 6 relevant relevant ADJ fis-4238 191 7 uiqs uiqs ADJ fis-4238 191 8 were be AUX fis-4238 191 9 considered consider VERB fis-4238 191 10 in in ADP fis-4238 191 11 a a DET fis-4238 191 12 second second ADJ fis-4238 191 13 model model NOUN fis-4238 191 14 , , PUNCT fis-4238 191 15 in in ADP fis-4238 191 16 which which PRON fis-4238 191 17 the the DET fis-4238 191 18 first first ADJ fis-4238 191 19 - - PUNCT fis-4238 191 20 order order NOUN fis-4238 191 21 sensitivity sensitivity NOUN fis-4238 191 22 indices index NOUN fis-4238 191 23 were be AUX fis-4238 191 24 calculated calculate VERB fis-4238 191 25 to to PART fis-4238 191 26 obtain obtain VERB fis-4238 191 27 the the DET fis-4238 191 28 relative relative ADJ fis-4238 191 29 importance importance NOUN fis-4238 191 30 of of ADP fis-4238 191 31 each each DET fis-4238 191 32 uncertain uncertain ADJ fis-4238 191 33 parameter parameter NOUN fis-4238 191 34 for for ADP fis-4238 191 35 this this DET fis-4238 191 36 design design NOUN fis-4238 191 37 . . PUNCT fis-4238 192 1 the the DET fis-4238 192 2 eem eem PROPN fis-4238 192 3 was be AUX fis-4238 192 4 introduced introduce VERB fis-4238 192 5 by by ADP fis-4238 192 6 morris morris PROPN fis-4238 192 7 [ [ X fis-4238 192 8 41 41 NUM fis-4238 192 9 ] ] PUNCT fis-4238 192 10 , , PUNCT fis-4238 192 11 aiming aim VERB fis-4238 192 12 at at ADP fis-4238 192 13 discerning discern VERB fis-4238 192 14 which which DET fis-4238 192 15 uiqs uiqs ADJ fis-4238 192 16 have have VERB fis-4238 192 17 effects effect NOUN fis-4238 192 18 : : PUNCT fis-4238 192 19 ( ( PUNCT fis-4238 192 20 a a X fis-4238 192 21 ) ) PUNCT fis-4238 192 22 negligible negligible ADJ fis-4238 192 23 ; ; PUNCT fis-4238 192 24 ( ( PUNCT fis-4238 192 25 b b X fis-4238 192 26 ) ) PUNCT fis-4238 192 27 linear linear NOUN fis-4238 192 28 ; ; PUNCT fis-4238 192 29 or or CCONJ fis-4238 192 30 ( ( PUNCT fis-4238 192 31 c c NOUN fis-4238 192 32 ) ) PUNCT fis-4238 192 33 nonlinear nonlinear NOUN fis-4238 192 34 . . PUNCT fis-4238 193 1 the the DET fis-4238 193 2 ik ik PROPN fis-4238 193 3 -th -th PROPN fis-4238 193 4 elementary elementary ADJ fis-4238 193 5 effect effect NOUN fis-4238 193 6 of of ADP fis-4238 193 7 the the DET fis-4238 193 8 i i PROPN fis-4238 193 9 -th -th NOUN fis-4238 193 10 uiq uiq INTJ fis-4238 193 11 related relate VERB fis-4238 193 12 to to ADP fis-4238 193 13 the the DET fis-4238 193 14 k k PROPN fis-4238 193 15 -th -th NOUN fis-4238 193 16 srq srq PROPN fis-4238 193 17 is be AUX fis-4238 193 18 given give VERB fis-4238 193 19 by by ADP fis-4238 193 20 eqn eqn NOUN fis-4238 193 21 . . PUNCT fis-4238 194 1 16 16 NUM fis-4238 194 2 : : PUNCT fis-4238 195 1 r. r. PROPN fis-4238 195 2 b. b. PROPN fis-4238 195 3 p. p. PROPN fis-4238 195 4 nonato nonato PROPN fis-4238 195 5 , , PUNCT fis-4238 195 6 frattura frattura PROPN fis-4238 195 7 ed ed PROPN fis-4238 195 8 integrità integrità PROPN fis-4238 195 9 strutturale strutturale PROPN fis-4238 195 10 , , PUNCT fis-4238 195 11 65 65 NUM fis-4238 195 12 ( ( PUNCT fis-4238 195 13 2023 2023 NUM fis-4238 195 14 ) ) PUNCT fis-4238 195 15 17 17 NUM fis-4238 195 16 - - SYM fis-4238 195 17 37 37 NUM fis-4238 195 18 ; ; PUNCT fis-4238 195 19 doi doi NOUN fis-4238 195 20 : : PUNCT fis-4238 195 21 10.3221 10.3221 NUM fis-4238 195 22 / / SYM fis-4238 195 23 igf igf PROPN fis-4238 195 24 - - ADJ fis-4238 195 25 esis.66.02 esis.66.02 NOUN fis-4238 195 26 24 24 NUM fis-4238 195 27   NOUN fis-4238 195 28   SYM fis-4238 195 29   NOUN fis-4238 195 30   ADJ fis-4238 195 31   PROPN fis-4238 195 32   PUNCT fis-4238 195 33   PUNCT fis-4238 195 34   VERB fis-4238 195 35   NUM fis-4238 195 36   NOUN fis-4238 195 37   NOUN fis-4238 195 38   NOUN fis-4238 195 39 1 1 NOUN fis-4238 195 40 1 1 NUM fis-4238 195 41 1 1 NUM fis-4238 195 42 1 1 NUM fis-4238 195 43 , , PUNCT fis-4238 195 44     SPACE fis-4238 195 45 , , PUNCT fis-4238 195 46     SPACE fis-4238 195 47 , , PUNCT fis-4238 195 48       SPACE fis-4238 195 49 , , PUNCT fis-4238 195 50     SPACE fis-4238 195 51 , , PUNCT fis-4238 195 52     SPACE fis-4238 195 53 , , PUNCT fis-4238 195 54     SPACE fis-4238 195 55 , , PUNCT fis-4238 195 56     SPACE fis-4238 195 57 , , PUNCT fis-4238 195 58       SPACE fis-4238 195 59 , , PUNCT fis-4238 195 60     SPACE fis-4238 195 61 , , PUNCT fis-4238 195 62     SPACE fis-4238 195 63 i i PRON fis-4238 195 64 ik ik VERB fis-4238 195 65 i i PRON fis-4238 195 66 i i PRON fis-4238 196 1 n n VERB fis-4238 197 1 k k NOUN fis-4238 198 1 i i PRON fis-4238 199 1 i i PRON fis-4238 200 1 n n VERB fis-4238 200 2 ikee ikee ADJ fis-4238 200 3 z z NOUN fis-4238 201 1 x x PUNCT fis-4238 201 2 x x PUNCT fis-4238 201 3 x x PUNCT fis-4238 201 4 x x X fis-4238 201 5 z z NOUN fis-4238 201 6 x x SYM fis-4238 201 7 x x PUNCT fis-4238 201 8 x x SYM fis-4238 201 9 x x X fis-4238 201 10 ( ( PUNCT fis-4238 201 11 16 16 NUM fis-4238 201 12 ) ) PUNCT fis-4238 201 13 in in ADP fis-4238 201 14 which which PRON fis-4238 201 15   PUNCT fis-4238 201 16 is be AUX fis-4238 201 17 a a DET fis-4238 201 18 vector vector NOUN fis-4238 201 19 of of ADP fis-4238 201 20 values value NOUN fis-4238 201 21 within within ADP fis-4238 201 22 the the DET fis-4238 201 23 interval interval NOUN fis-4238 201 24 associated associate VERB fis-4238 201 25 with with ADP fis-4238 201 26 the the DET fis-4238 201 27 uiq uiq ADJ fis-4238 201 28 ix ix ADV fis-4238 201 29 , , PUNCT fis-4238 201 30 and and CCONJ fis-4238 201 31 kz kz PROPN fis-4238 201 32 is be AUX fis-4238 201 33 the the DET fis-4238 201 34 srq srq NOUN fis-4238 201 35 . . PUNCT fis-4238 202 1 one one NUM fis-4238 202 2 of of ADP fis-4238 202 3 the the DET fis-4238 202 4 variance variance NOUN fis-4238 202 5 - - PUNCT fis-4238 202 6 based base VERB fis-4238 202 7 methods method NOUN fis-4238 202 8 , , PUNCT fis-4238 202 9 the the DET fis-4238 202 10 first first ADJ fis-4238 202 11 - - PUNCT fis-4238 202 12 order order NOUN fis-4238 202 13 sensitivity sensitivity NOUN fis-4238 202 14 index index NOUN fis-4238 202 15 , , PUNCT fis-4238 202 16 can can AUX fis-4238 202 17 be be AUX fis-4238 202 18 defined define VERB fis-4238 202 19 by by ADP fis-4238 202 20 the the DET fis-4238 202 21 variance variance NOUN fis-4238 202 22 of of ADP fis-4238 202 23 the the DET fis-4238 202 24 conditional conditional ADJ fis-4238 202 25 expectation expectation NOUN fis-4238 202 26 of of ADP fis-4238 202 27 each each DET fis-4238 202 28 uiq uiq PROPN fis-4238 202 29 related relate VERB fis-4238 202 30 to to ADP fis-4238 202 31 the the DET fis-4238 202 32 variance variance NOUN fis-4238 202 33 of of ADP fis-4238 202 34 the the DET fis-4238 202 35 common common ADJ fis-4238 202 36 srq srq NOUN fis-4238 202 37 . . PUNCT fis-4238 203 1 mathematically mathematically ADV fis-4238 203 2 , , PUNCT fis-4238 203 3 eqn eqn PROPN fis-4238 203 4 . . PROPN fis-4238 203 5 17 17 NUM fis-4238 203 6 provides provide VERB fis-4238 203 7 the the DET fis-4238 203 8 ik ik PROPN fis-4238 203 9 -th -th PUNCT fis-4238 203 10 firstorder firstorder PROPN fis-4238 203 11 index index NOUN fis-4238 203 12 corresponding correspond VERB fis-4238 203 13 to to ADP fis-4238 203 14 the the DET fis-4238 203 15 effect effect NOUN fis-4238 203 16 of of ADP fis-4238 203 17 the the DET fis-4238 203 18 uiq uiq ADJ fis-4238 203 19 ix ix VERB fis-4238 203 20 related relate VERB fis-4238 203 21 to to ADP fis-4238 203 22 the the DET fis-4238 203 23 srq srq PROPN fis-4238 203 24 kz kz PROPN fis-4238 203 25 , , PUNCT fis-4238 203 26 where where SCONJ fis-4238 203 27   ADJ fis-4238 203 28 .v .v PROPN fis-4238 203 29 and and CCONJ fis-4238 203 30   ADJ fis-4238 203 31 .e .e PROPN fis-4238 203 32 mean mean NOUN fis-4238 203 33 , , PUNCT fis-4238 203 34 respectively respectively ADV fis-4238 203 35 , , PUNCT fis-4238 203 36 the the DET fis-4238 203 37 variance variance NOUN fis-4238 203 38 and and CCONJ fis-4238 203 39 the the DET fis-4238 203 40 expected expect VERB fis-4238 203 41 value value NOUN fis-4238 203 42 operators operator NOUN fis-4238 203 43 . . PUNCT fis-4238 204 1 this this PRON fis-4238 204 2 can can AUX fis-4238 204 3 be be AUX fis-4238 204 4 understood understand VERB fis-4238 204 5 as as ADP fis-4238 204 6 the the DET fis-4238 204 7 variance variance NOUN fis-4238 204 8 of of ADP fis-4238 204 9 the the DET fis-4238 204 10 expectation expectation NOUN fis-4238 204 11 of of ADP fis-4238 204 12 the the DET fis-4238 204 13 k k PROPN fis-4238 204 14 -th -th PUNCT fis-4238 204 15 srq srq PROPN fis-4238 204 16 conditioned condition VERB fis-4238 204 17 to to ADP fis-4238 204 18 the the DET fis-4238 204 19 occurrence occurrence NOUN fis-4238 204 20 of of ADP fis-4238 204 21 the the DET fis-4238 204 22 i i PROPN fis-4238 204 23 -th -th NOUN fis-4238 204 24 uiq uiq INTJ fis-4238 204 25 related relate VERB fis-4238 204 26 to to ADP fis-4238 204 27 the the DET fis-4238 204 28 entire entire ADJ fis-4238 204 29 variance variance NOUN fis-4238 204 30 of of ADP fis-4238 204 31 the the DET fis-4238 204 32 srq srq NOUN fis-4238 204 33 . . PUNCT fis-4238 205 1   NOUN fis-4238 206 1   PUNCT fis-4238 206 2   NOUN fis-4238 206 3   PUNCT fis-4238 206 4   PROPN fis-4238 206 5   NOUN fis-4238 207 1   PROPN fis-4238 207 2 |k |k X fis-4238 208 1 i i PRON fis-4238 208 2 ik ik PROPN fis-4238 208 3 k k PROPN fis-4238 208 4 v v NUM fis-4238 208 5 e e X fis-4238 208 6 s s NOUN fis-4238 208 7 v v NOUN fis-4238 208 8 z z NOUN fis-4238 208 9 x x SYM fis-4238 208 10 z z NOUN fis-4238 208 11 ( ( PUNCT fis-4238 208 12 17 17 NUM fis-4238 208 13 ) ) PUNCT fis-4238 208 14 maximum maximum ADJ fis-4238 208 15 entropy entropy NOUN fis-4238 208 16 principle principle VERB fis-4238 208 17 his his PRON fis-4238 208 18 section section NOUN fis-4238 208 19 associates associate VERB fis-4238 208 20 the the DET fis-4238 208 21 maximum maximum PROPN fis-4238 208 22 entropy entropy PROPN fis-4238 208 23 principle principle NOUN fis-4238 208 24 ( ( PUNCT fis-4238 208 25 mep mep PROPN fis-4238 208 26 ) ) PUNCT fis-4238 208 27 with with ADP fis-4238 208 28 uq uq NOUN fis-4238 208 29 . . PUNCT fis-4238 209 1 the the DET fis-4238 209 2 general general ADJ fis-4238 209 3 framework framework NOUN fis-4238 209 4 of of ADP fis-4238 209 5 mep mep PROPN fis-4238 209 6 applied apply VERB fis-4238 209 7 to to ADP fis-4238 209 8 known know VERB fis-4238 209 9 support support NOUN fis-4238 209 10 and and CCONJ fis-4238 209 11 moments moment NOUN fis-4238 209 12 of of ADP fis-4238 209 13 a a DET fis-4238 209 14 distribution distribution NOUN fis-4238 209 15 is be AUX fis-4238 209 16 presented present VERB fis-4238 209 17 in in ADP fis-4238 209 18 order order NOUN fis-4238 209 19 to to PART fis-4238 209 20 evidence evidence VERB fis-4238 209 21 the the DET fis-4238 209 22 particular particular ADJ fis-4238 209 23 case case NOUN fis-4238 209 24 where where SCONJ fis-4238 209 25 only only ADJ fis-4238 209 26 interval interval NOUN fis-4238 209 27 and and CCONJ fis-4238 209 28 mean mean NOUN fis-4238 209 29 of of ADP fis-4238 209 30 data datum NOUN fis-4238 209 31 are be AUX fis-4238 209 32 concomitantly concomitantly ADV fis-4238 209 33 known know VERB fis-4238 209 34 , , PUNCT fis-4238 209 35 a a DET fis-4238 209 36 situation situation NOUN fis-4238 209 37 applied apply VERB fis-4238 209 38 in in ADP fis-4238 209 39 this this DET fis-4238 209 40 paper paper NOUN fis-4238 209 41 to to PART fis-4238 209 42 represent represent VERB fis-4238 209 43 the the DET fis-4238 209 44 uiqs uiqs PROPN fis-4238 209 45 . . PUNCT fis-4238 210 1 mep mep PROPN fis-4238 210 2 in in ADP fis-4238 210 3 the the DET fis-4238 210 4 context context NOUN fis-4238 210 5 of of ADP fis-4238 210 6 uncertainty uncertainty NOUN fis-4238 210 7 in in ADP fis-4238 210 8 the the DET fis-4238 210 9 case case NOUN fis-4238 210 10 where where SCONJ fis-4238 210 11 insufficient insufficient ADJ fis-4238 210 12 number number NOUN fis-4238 210 13 of of ADP fis-4238 210 14 probabilistic probabilistic ADJ fis-4238 210 15 distribution distribution NOUN fis-4238 210 16 moments moment NOUN fis-4238 210 17 are be AUX fis-4238 210 18 the the DET fis-4238 210 19 only only ADJ fis-4238 210 20 information information NOUN fis-4238 210 21 available available ADJ fis-4238 210 22 , , PUNCT fis-4238 210 23 the the DET fis-4238 210 24 mep mep PROPN fis-4238 210 25 can can AUX fis-4238 210 26 shape shape VERB fis-4238 210 27 the the DET fis-4238 210 28 most most ADV fis-4238 210 29 unbiased unbiased ADJ fis-4238 210 30 distribution distribution NOUN fis-4238 210 31 , , PUNCT fis-4238 210 32 meeting meet VERB fis-4238 210 33 this this PRON fis-4238 210 34 given give VERB fis-4238 210 35 data datum NOUN fis-4238 210 36 [ [ X fis-4238 210 37 42 42 NUM fis-4238 210 38 ] ] PUNCT fis-4238 210 39 . . PUNCT fis-4238 211 1 the the DET fis-4238 211 2 contributions contribution NOUN fis-4238 211 3 strictly strictly ADV fis-4238 211 4 related relate VERB fis-4238 211 5 to to ADP fis-4238 211 6 structural structural ADJ fis-4238 211 7 systems system NOUN fis-4238 211 8 has have VERB fis-4238 211 9 an an DET fis-4238 211 10 ever ever ADV fis-4238 211 11 - - PUNCT fis-4238 211 12 growing grow VERB fis-4238 211 13 potential potential NOUN fis-4238 211 14 , , PUNCT fis-4238 211 15 which which PRON fis-4238 211 16 has have AUX fis-4238 211 17 been be AUX fis-4238 211 18 highlighted highlight VERB fis-4238 211 19 by by ADP fis-4238 211 20 the the DET fis-4238 211 21 greater great ADJ fis-4238 211 22 attention attention NOUN fis-4238 211 23 deserved deserve VERB fis-4238 211 24 through through ADP fis-4238 211 25 last last ADJ fis-4238 211 26 years year NOUN fis-4238 211 27 . . PUNCT fis-4238 212 1 based base VERB fis-4238 212 2 on on ADP fis-4238 212 3 the the DET fis-4238 212 4 mep mep PROPN fis-4238 212 5 , , PUNCT fis-4238 212 6 a a DET fis-4238 212 7 belief belief NOUN fis-4238 212 8 reliability reliability NOUN fis-4238 212 9 distribution distribution NOUN fis-4238 212 10 was be AUX fis-4238 212 11 proposed propose VERB fis-4238 212 12 to to PART fis-4238 212 13 measure measure VERB fis-4238 212 14 system system NOUN fis-4238 212 15 performance performance NOUN fis-4238 212 16 from from ADP fis-4238 212 17 the the DET fis-4238 212 18 influences influence NOUN fis-4238 212 19 of of ADP fis-4238 212 20 design design NOUN fis-4238 212 21 margin margin NOUN fis-4238 212 22 , , PUNCT fis-4238 212 23 aleatory aleatory ADJ fis-4238 212 24 and and CCONJ fis-4238 212 25 epistemic epistemic ADJ fis-4238 212 26 uncertainties uncertainty NOUN fis-4238 212 27 [ [ X fis-4238 212 28 43 43 NUM fis-4238 212 29 ] ] PUNCT fis-4238 212 30 . . PUNCT fis-4238 213 1 pdfs pdfs PROPN fis-4238 213 2 were be AUX fis-4238 213 3 estimated estimate VERB fis-4238 213 4 using use VERB fis-4238 213 5 more more ADJ fis-4238 213 6 than than ADP fis-4238 213 7 four four NUM fis-4238 213 8 moments moment NOUN fis-4238 213 9 of of ADP fis-4238 213 10 distribution distribution NOUN fis-4238 213 11 and and CCONJ fis-4238 213 12 a a DET fis-4238 213 13 reliability reliability NOUN fis-4238 213 14 - - PUNCT fis-4238 213 15 based base VERB fis-4238 213 16 design design NOUN fis-4238 213 17 optimization optimization NOUN fis-4238 213 18 was be AUX fis-4238 213 19 performed perform VERB fis-4238 213 20 using use VERB fis-4238 213 21 the the DET fis-4238 213 22 mep mep PROPN fis-4238 213 23 and and CCONJ fis-4238 213 24 compared compare VERB fis-4238 213 25 to to ADP fis-4238 213 26 that that PRON fis-4238 213 27 originated originate VERB fis-4238 213 28 by by ADP fis-4238 213 29 the the DET fis-4238 213 30 finite finite ADJ fis-4238 213 31 difference difference NOUN fis-4238 213 32 method method NOUN fis-4238 213 33 [ [ X fis-4238 213 34 44 44 NUM fis-4238 213 35 ] ] PUNCT fis-4238 213 36 . . PUNCT fis-4238 214 1 the the DET fis-4238 214 2 mep mep PROPN fis-4238 214 3 was be AUX fis-4238 214 4 also also ADV fis-4238 214 5 applied apply VERB fis-4238 214 6 to to PART fis-4238 214 7 obtain obtain VERB fis-4238 214 8 the the DET fis-4238 214 9 reliability reliability NOUN fis-4238 214 10 bound bind VERB fis-4238 214 11 with with ADP fis-4238 214 12 respect respect NOUN fis-4238 214 13 to to ADP fis-4238 214 14 the the DET fis-4238 214 15 first first ADJ fis-4238 214 16 moment moment NOUN fis-4238 214 17 truncated truncate VERB fis-4238 214 18 for for ADP fis-4238 214 19 the the DET fis-4238 214 20 first first ADJ fis-4238 214 21 time time NOUN fis-4238 214 22 . . PUNCT fis-4238 215 1 the the DET fis-4238 215 2 reliability reliability NOUN fis-4238 215 3 of of ADP fis-4238 215 4 machine machine NOUN fis-4238 215 5 components component NOUN fis-4238 215 6 via via ADP fis-4238 215 7 mep mep PROPN fis-4238 215 8 was be AUX fis-4238 215 9 studied study VERB fis-4238 215 10 too too ADV fis-4238 216 1 [ [ X fis-4238 216 2 45 45 NUM fis-4238 216 3 ] ] PUNCT fis-4238 216 4 , , PUNCT fis-4238 216 5 in in ADP fis-4238 216 6 which which PRON fis-4238 216 7 a a DET fis-4238 216 8 pdf pdf NOUN fis-4238 216 9 and and CCONJ fis-4238 216 10 a a DET fis-4238 216 11 failure failure NOUN fis-4238 216 12 probability probability NOUN fis-4238 216 13 model model NOUN fis-4238 216 14 were be AUX fis-4238 216 15 established establish VERB fis-4238 216 16 . . PUNCT fis-4238 217 1 a a DET fis-4238 217 2 structural structural ADJ fis-4238 217 3 reliability reliability NOUN fis-4238 217 4 analysis analysis NOUN fis-4238 217 5 was be AUX fis-4238 217 6 performed perform VERB fis-4238 217 7 based base VERB fis-4238 217 8 on on ADP fis-4238 217 9 the the DET fis-4238 217 10 mep mep PROPN fis-4238 217 11 using use VERB fis-4238 217 12 polynomial polynomial ADJ fis-4238 217 13 chaos chaos NOUN fis-4238 217 14 expansion expansion NOUN fis-4238 217 15 , , PUNCT fis-4238 218 1 e.g. e.g. ADV fis-4238 218 2 [ [ X fis-4238 218 3 46 46 NUM fis-4238 218 4 ] ] PUNCT fis-4238 218 5 . . PUNCT fis-4238 219 1 in in ADP fis-4238 219 2 addition addition NOUN fis-4238 219 3 , , PUNCT fis-4238 219 4 the the DET fis-4238 219 5 mep mep PROPN fis-4238 219 6 and and CCONJ fis-4238 219 7 the the DET fis-4238 219 8 dempster dempster PROPN fis-4238 219 9 - - PUNCT fis-4238 219 10 shafer shafer PROPN fis-4238 219 11 theory theory NOUN fis-4238 219 12 were be AUX fis-4238 219 13 combined combine VERB fis-4238 219 14 to to PART fis-4238 219 15 perform perform VERB fis-4238 219 16 a a DET fis-4238 219 17 reliability reliability NOUN fis-4238 219 18 analysis analysis NOUN fis-4238 219 19 [ [ X fis-4238 219 20 47 47 NUM fis-4238 219 21 ] ] PUNCT fis-4238 219 22 . . PUNCT fis-4238 220 1 general general ADJ fis-4238 220 2 framework framework NOUN fis-4238 220 3 of of ADP fis-4238 220 4 mep mep PROPN fis-4238 220 5 applied apply VERB fis-4238 220 6 to to ADP fis-4238 220 7 known know VERB fis-4238 220 8 support support NOUN fis-4238 220 9 and and CCONJ fis-4238 220 10 moments moment NOUN fis-4238 220 11 of of ADP fis-4238 220 12 a a DET fis-4238 220 13 distribution distribution NOUN fis-4238 220 14 in in ADP fis-4238 220 15 the the DET fis-4238 220 16 case case NOUN fis-4238 220 17 where where SCONJ fis-4238 220 18 a a DET fis-4238 220 19 continuous continuous ADJ fis-4238 220 20 pdf pdf NOUN fis-4238 220 21 of of ADP fis-4238 220 22 a a DET fis-4238 220 23 variable variable NOUN fis-4238 220 24 is be AUX fis-4238 220 25 unknown unknown ADJ fis-4238 220 26 and and CCONJ fis-4238 220 27 a a DET fis-4238 220 28 set set NOUN fis-4238 220 29 of of ADP fis-4238 220 30 its its PRON fis-4238 220 31 parameters parameter NOUN fis-4238 220 32 is be AUX fis-4238 220 33 available available ADJ fis-4238 220 34 ( ( PUNCT fis-4238 220 35 support support NOUN fis-4238 220 36 and/or and/or CCONJ fis-4238 220 37 moments moment NOUN fis-4238 220 38 distributions distribution NOUN fis-4238 220 39 ) ) PUNCT fis-4238 220 40 , , PUNCT fis-4238 220 41 it it PRON fis-4238 220 42 is be AUX fis-4238 220 43 possible possible ADJ fis-4238 220 44 to to PART fis-4238 220 45 apply apply VERB fis-4238 220 46 the the DET fis-4238 220 47 mep mep PROPN fis-4238 220 48 in in ADP fis-4238 220 49 order order NOUN fis-4238 220 50 to to PART fis-4238 220 51 find find VERB fis-4238 220 52 the the DET fis-4238 220 53 distribution distribution NOUN fis-4238 220 54 using use VERB fis-4238 220 55 the the DET fis-4238 220 56 restrictions restriction NOUN fis-4238 220 57 provided provide VERB fis-4238 220 58 by by ADP fis-4238 220 59 this this DET fis-4238 220 60 information information NOUN fis-4238 220 61 , , PUNCT fis-4238 220 62 according accord VERB fis-4238 220 63 to to ADP fis-4238 220 64 the the DET fis-4238 220 65 processes process NOUN fis-4238 220 66 proposed propose VERB fis-4238 220 67 in in ADP fis-4238 220 68 [ [ X fis-4238 220 69 16 16 NUM fis-4238 220 70 , , PUNCT fis-4238 220 71 48 48 NUM fis-4238 220 72 ] ] PUNCT fis-4238 220 73 . . PUNCT fis-4238 221 1 let let VERB fis-4238 221 2 ix ix PRON fis-4238 221 3 be be AUX fis-4238 221 4 a a DET fis-4238 221 5 random random ADJ fis-4238 221 6 variable variable NOUN fis-4238 221 7 , , PUNCT fis-4238 221 8 which which PRON fis-4238 221 9 has have VERB fis-4238 221 10   NOUN fis-4238 221 11   PROPN fis-4238 221 12 ix ix ADV fis-4238 221 13 if if SCONJ fis-4238 221 14 x x PRON fis-4238 221 15 as as ADP fis-4238 221 16 its its PRON fis-4238 221 17 pdf pdf NOUN fis-4238 221 18 and and CCONJ fis-4238 221 19   NOUN fis-4238 221 20   PROPN fis-4238 221 21 ix ix ADV fis-4238 221 22 if if SCONJ fis-4238 221 23 x x PRON fis-4238 221 24 as as ADP fis-4238 221 25 its its PRON fis-4238 221 26 cdf cdf NOUN fis-4238 221 27 . . PUNCT fis-4238 222 1 the the DET fis-4238 222 2 entropy entropy PROPN fis-4238 222 3 h h PROPN fis-4238 222 4 is be AUX fis-4238 222 5 the the DET fis-4238 222 6 quantity quantity NOUN fis-4238 222 7 of of ADP fis-4238 222 8 uncertainty uncertainty NOUN fis-4238 222 9 inherent inherent ADJ fis-4238 222 10 to to ADP fis-4238 222 11 a a DET fis-4238 222 12 process process NOUN fis-4238 222 13 result result NOUN fis-4238 222 14 . . PUNCT fis-4238 223 1 let let VERB fis-4238 223 2 ix ix PRON fis-4238 223 3 be be AUX fis-4238 223 4 delimited delimit VERB fis-4238 223 5 by by ADP fis-4238 223 6 a a DET fis-4238 223 7 support support NOUN fis-4238 223 8 interval interval NOUN fis-4238 223 9   PROPN fis-4238 224 1   NOUN fis-4238 225 1 ,lb ,lb PROPN fis-4238 225 2 ub ub INTJ fis-4238 226 1 i i PRON fis-4238 226 2 ix ix ADV fis-4238 226 3 x x X fis-4238 226 4 , , PUNCT fis-4238 226 5 which which PRON fis-4238 226 6 can can AUX fis-4238 226 7 be be AUX fis-4238 226 8 the the DET fis-4238 226 9 only only ADJ fis-4238 226 10 available available ADJ fis-4238 226 11 information information NOUN fis-4238 226 12 or or CCONJ fis-4238 226 13 one one NUM fis-4238 226 14 item item NOUN fis-4238 226 15 of of ADP fis-4238 226 16 a a DET fis-4238 226 17 set set NOUN fis-4238 226 18 of of ADP fis-4238 226 19 information information NOUN fis-4238 226 20 about about ADP fis-4238 226 21 the the DET fis-4238 226 22 distribution distribution NOUN fis-4238 226 23 . . PUNCT fis-4238 227 1 therefore therefore ADV fis-4238 227 2 , , PUNCT fis-4238 227 3 the the DET fis-4238 227 4 entropy entropy NOUN fis-4238 227 5 is be AUX fis-4238 227 6 quantified quantify VERB fis-4238 227 7 in in ADP fis-4238 227 8 eqn eqn NOUN fis-4238 227 9 . . PUNCT fis-4238 228 1 18 18 NUM fis-4238 228 2 : : PUNCT fis-4238 228 3   NOUN fis-4238 228 4   SYM fis-4238 228 5   NOUN fis-4238 228 6   NOUN fis-4238 228 7   PUNCT fis-4238 228 8   PROPN fis-4238 229 1   NOUN fis-4238 229 2   PROPN fis-4238 230 1   PROPN fis-4238 230 2   PRON fis-4238 230 3   NOUN fis-4238 230 4   ADV fis-4238 230 5     SPACE fis-4238 230 6 ub ub NOUN fis-4238 230 7 ub ub INTJ fis-4238 231 1 i i PRON fis-4238 231 2 i i PRON fis-4238 232 1 lb lb NUM fis-4238 232 2 lbi lbi PROPN fis-4238 233 1 i i PRON fis-4238 233 2 i i PRON fis-4238 234 1 i i PRON fis-4238 234 2 i i PRON fis-4238 234 3 i i VERB fis-4238 234 4 x x VERB fis-4238 234 5 x x PUNCT fis-4238 234 6 x x PUNCT fis-4238 234 7 i i NOUN fis-4238 234 8 x x VERB fis-4238 235 1 i i PRON fis-4238 235 2 i i VERB fis-4238 235 3 x x VERB fis-4238 236 1 i i NOUN fis-4238 236 2 xx xx NUM fis-4238 237 1 x x SYM fis-4238 237 2 h h NOUN fis-4238 237 3 f f NOUN fis-4238 237 4 x x AUX fis-4238 237 5 log log VERB fis-4238 237 6 f f PROPN fis-4238 237 7 x x X fis-4238 237 8 dx dx PROPN fis-4238 237 9 log log VERB fis-4238 237 10 f f PROPN fis-4238 237 11 x x X fis-4238 237 12 df df PROPN fis-4238 237 13 . . PUNCT fis-4238 238 1 ( ( PUNCT fis-4238 238 2 18 18 NUM fis-4238 238 3 ) ) PUNCT fis-4238 238 4 for for ADP fis-4238 238 5 example example NOUN fis-4238 238 6 , , PUNCT fis-4238 238 7 h h NOUN fis-4238 238 8 can can AUX fis-4238 238 9 be be AUX fis-4238 238 10 interpreted interpret VERB fis-4238 238 11 as as ADP fis-4238 238 12 the the DET fis-4238 238 13 average average ADJ fis-4238 238 14 information information NOUN fis-4238 238 15 provided provide VERB fis-4238 238 16 by by ADP fis-4238 238 17 the the DET fis-4238 238 18 realization realization NOUN fis-4238 238 19 of of ADP fis-4238 238 20 an an DET fis-4238 238 21 experiment experiment NOUN fis-4238 238 22 or or CCONJ fis-4238 238 23 simulation simulation NOUN fis-4238 238 24 . . PUNCT fis-4238 239 1 it it PRON fis-4238 239 2 is be AUX fis-4238 239 3 the the DET fis-4238 239 4 average average ADJ fis-4238 239 5 uncertainty uncertainty NOUN fis-4238 239 6 removed remove VERB fis-4238 239 7 or or CCONJ fis-4238 239 8 average average ADJ fis-4238 239 9 amount amount NOUN fis-4238 239 10 of of ADP fis-4238 239 11 information information NOUN fis-4238 239 12 aggregated aggregate VERB fis-4238 239 13 by by ADP fis-4238 239 14 observing observe VERB fis-4238 239 15 the the DET fis-4238 239 16 outcomes outcome NOUN fis-4238 239 17 of of ADP fis-4238 239 18 ix ix PROPN fis-4238 239 19 . . PUNCT fis-4238 240 1 in in ADP fis-4238 240 2 addition addition NOUN fis-4238 240 3 , , PUNCT fis-4238 240 4 if if SCONJ fis-4238 240 5 information information NOUN fis-4238 240 6 about about ADP fis-4238 240 7 the the DET fis-4238 240 8 moments moment NOUN fis-4238 240 9 of of ADP fis-4238 240 10 the the DET fis-4238 240 11 pdf pdf NOUN fis-4238 240 12 is be AUX fis-4238 240 13 also also ADV fis-4238 240 14 available available ADJ fis-4238 240 15 , , PUNCT fis-4238 240 16   NOUN fis-4238 240 17 imx imx PROPN fis-4238 240 18 , , PUNCT fis-4238 240 19 then then ADV fis-4238 240 20 it it PRON fis-4238 240 21 is be AUX fis-4238 240 22 given give VERB fis-4238 240 23 by by ADP fis-4238 240 24 eqn eqn NOUN fis-4238 240 25 . . PUNCT fis-4238 241 1 19 19 NUM fis-4238 241 2 . . PUNCT fis-4238 242 1 the the DET fis-4238 242 2 m m NOUN fis-4238 242 3 -th -th ADJ fis-4238 242 4 moment moment NOUN fis-4238 242 5 t t PROPN fis-4238 242 6 r. r. PROPN fis-4238 242 7 b. b. PROPN fis-4238 243 1 p. p. PROPN fis-4238 243 2 nonato nonato PROPN fis-4238 243 3 , , PUNCT fis-4238 243 4 frattura frattura PROPN fis-4238 243 5 ed ed PROPN fis-4238 243 6 integrità integrità PROPN fis-4238 243 7 strutturale strutturale PROPN fis-4238 243 8 , , PUNCT fis-4238 243 9 65 65 NUM fis-4238 243 10 ( ( PUNCT fis-4238 243 11 2023 2023 NUM fis-4238 243 12 ) ) PUNCT fis-4238 243 13 17 17 NUM fis-4238 243 14 - - SYM fis-4238 243 15 37 37 NUM fis-4238 243 16 ; ; PUNCT fis-4238 243 17 doi doi NOUN fis-4238 243 18 : : PUNCT fis-4238 243 19 10.3221 10.3221 NUM fis-4238 243 20 / / SYM fis-4238 243 21 igf igf PROPN fis-4238 243 22 - - NOUN fis-4238 243 23 esis.66.02 esis.66.02 PROPN fis-4238 243 24 25 25 NUM fis-4238 243 25 of of ADP fis-4238 243 26 the the DET fis-4238 243 27 i i NOUN fis-4238 243 28 -th -th NOUN fis-4238 243 29 variable variable NOUN fis-4238 243 30 assumes assume VERB fis-4238 243 31 the the DET fis-4238 243 32 null null ADJ fis-4238 243 33 value value NOUN fis-4238 243 34 when when SCONJ fis-4238 243 35   NOUN fis-4238 243 36   PUNCT fis-4238 243 37   NUM fis-4238 244 1 1 1 NUM fis-4238 244 2 m m NOUN fis-4238 244 3 ig ig NOUN fis-4238 244 4 x x X fis-4238 244 5 , , PUNCT fis-4238 244 6 and and CCONJ fis-4238 244 7   NUM fis-4238 244 8 0 0 NUM fis-4238 244 9 1ix 1ix NOUN fis-4238 244 10 , , PUNCT fis-4238 244 11 where where SCONJ fis-4238 244 12 the the DET fis-4238 244 13 functions function NOUN fis-4238 244 14   PROPN fis-4238 244 15 m m NOUN fis-4238 244 16 ig ig PROPN fis-4238 244 17 x x AUX fis-4238 244 18 represent represent VERB fis-4238 244 19 the the DET fis-4238 244 20 available available ADJ fis-4238 244 21 distribution distribution NOUN fis-4238 244 22 moments moment NOUN fis-4238 244 23 , , PUNCT fis-4238 244 24 being be AUX fis-4238 244 25 mn mn ADP fis-4238 244 26 the the DET fis-4238 244 27 quantity quantity NOUN fis-4238 244 28 of of ADP fis-4238 244 29 known know VERB fis-4238 244 30 moments moment NOUN fis-4238 244 31 . . PUNCT fis-4238 245 1   NOUN fis-4238 245 2   SYM fis-4238 245 3   NOUN fis-4238 245 4   PROPN fis-4238 246 1   NUM fis-4238 246 2   PROPN fis-4238 246 3   NOUN fis-4238 246 4     SPACE fis-4238 246 5 , , PUNCT fis-4238 246 6                 SPACE fis-4238 246 7 0 0 NUM fis-4238 246 8 , , PUNCT fis-4238 246 9     SPACE fis-4238 246 10 1 1 NUM fis-4238 246 11 , , PUNCT fis-4238 246 12     SPACE fis-4238 246 13 , , PUNCT fis-4238 246 14     SPACE fis-4238 246 15 ub ub INTJ fis-4238 247 1 i i PRON fis-4238 247 2 lb lb INTJ fis-4238 248 1 i i PRON fis-4238 248 2 i i INTJ fis-4238 248 3 x x VERB fis-4238 248 4 m m VERB fis-4238 248 5 i i INTJ fis-4238 248 6 x x VERB fis-4238 249 1 i i PRON fis-4238 249 2 i i PRON fis-4238 249 3 i i VERB fis-4238 249 4 m m VERB fis-4238 249 5 mx mx VERB fis-4238 249 6 g g PROPN fis-4238 249 7 x x SYM fis-4238 249 8 f f PROPN fis-4238 249 9 x x X fis-4238 249 10 dx dx PROPN fis-4238 249 11 x x PROPN fis-4238 249 12 m m VERB fis-4238 249 13 n n X fis-4238 249 14 ( ( PUNCT fis-4238 249 15 19 19 NUM fis-4238 249 16 ) ) PUNCT fis-4238 249 17 in in ADP fis-4238 249 18 information information NOUN fis-4238 249 19 theory theory NOUN fis-4238 249 20 , , PUNCT fis-4238 249 21 the the DET fis-4238 249 22 mep mep PROPN fis-4238 249 23 is be AUX fis-4238 249 24 applied apply VERB fis-4238 249 25 to to PART fis-4238 249 26 discover discover VERB fis-4238 249 27 the the DET fis-4238 249 28 pdf pdf NOUN fis-4238 249 29   NOUN fis-4238 250 1   PUNCT fis-4238 250 2 ix ix ADV fis-4238 250 3 if if SCONJ fis-4238 250 4 x x PROPN fis-4238 250 5 that that PRON fis-4238 250 6 leads lead VERB fis-4238 250 7 the the DET fis-4238 250 8 information information NOUN fis-4238 250 9 entropy entropy NOUN fis-4238 250 10 to to ADP fis-4238 250 11 its its PRON fis-4238 250 12 maximum maximum NOUN fis-4238 250 13 , , PUNCT fis-4238 250 14 observing observe VERB fis-4238 250 15 the the DET fis-4238 250 16 set set NOUN fis-4238 250 17 of of ADP fis-4238 250 18 restrictions restriction NOUN fis-4238 250 19 presented present VERB fis-4238 250 20 in in ADP fis-4238 250 21 eqn eqn PROPN fis-4238 250 22 . . PUNCT fis-4238 251 1 19 19 NUM fis-4238 251 2 . . PUNCT fis-4238 252 1 this this DET fis-4238 252 2 problem problem NOUN fis-4238 252 3 can can AUX fis-4238 252 4 be be AUX fis-4238 252 5 solved solve VERB fis-4238 252 6 using use VERB fis-4238 252 7 the the DET fis-4238 252 8 variational variational ADJ fis-4238 252 9 calculus calculus NOUN fis-4238 252 10 , , PUNCT fis-4238 252 11 building build VERB fis-4238 252 12 the the DET fis-4238 252 13 functional functional ADJ fis-4238 252 14   NOUN fis-4238 252 15   PUNCT fis-4238 252 16   PRON fis-4238 252 17   VERB fis-4238 252 18 ix ix NOUN fis-4238 252 19 if if SCONJ fis-4238 252 20 x x PROPN fis-4238 252 21 , , PUNCT fis-4238 252 22 which which PRON fis-4238 252 23 encompasses encompass VERB fis-4238 252 24 the the DET fis-4238 252 25 referred refer VERB fis-4238 252 26 restrictions restriction NOUN fis-4238 252 27 using use VERB fis-4238 252 28 the the DET fis-4238 252 29 lagrange lagrange NOUN fis-4238 252 30 multiplier multipli ADJ fis-4238 252 31 method method NOUN fis-4238 252 32 by by ADP fis-4238 252 33 the the DET fis-4238 252 34 following follow VERB fis-4238 252 35 manner manner NOUN fis-4238 252 36 ( ( PUNCT fis-4238 252 37 eqn eqn NOUN fis-4238 252 38 . . PROPN fis-4238 252 39 20 20 NUM fis-4238 252 40 ): ): PUNCT fis-4238 252 41   NOUN fis-4238 252 42   SYM fis-4238 252 43   NOUN fis-4238 252 44   PUNCT fis-4238 252 45   NOUN fis-4238 252 46   NOUN fis-4238 253 1   PUNCT fis-4238 253 2   NOUN fis-4238 253 3   SYM fis-4238 253 4   NOUN fis-4238 253 5   PUNCT fis-4238 254 1   PROPN fis-4238 254 2   PROPN fis-4238 254 3   PROPN fis-4238 254 4   NOUN fis-4238 255 1   PROPN fis-4238 255 2   PROPN fis-4238 255 3   VERB fis-4238 255 4   NOUN fis-4238 255 5   PROPN fis-4238 255 6   VERB fis-4238 255 7   PROPN fis-4238 255 8   PROPN fis-4238 255 9   NOUN fis-4238 255 10   NOUN fis-4238 255 11   X fis-4238 255 12 0 0 NUM fis-4238 255 13         SPACE fis-4238 255 14 ub ub INTJ fis-4238 255 15 ub ub INTJ fis-4238 255 16 i i PRON fis-4238 255 17 i i PRON fis-4238 255 18 m m VERB fis-4238 255 19 lb lb ADP fis-4238 255 20 lbi lbi PROPN fis-4238 256 1 i i PRON fis-4238 256 2 i i PRON fis-4238 257 1 i i PRON fis-4238 257 2 i i PRON fis-4238 258 1 i i VERB fis-4238 258 2 x x VERB fis-4238 258 3 xn xn PUNCT fis-4238 259 1 x x SYM fis-4238 259 2 i i NOUN fis-4238 259 3 x x VERB fis-4238 260 1 i i NOUN fis-4238 260 2 x x VERB fis-4238 261 1 i i PRON fis-4238 261 2 i i PRON fis-4238 261 3 i i VERB fis-4238 261 4 m m VERB fis-4238 261 5 m m VERB fis-4238 261 6 i i ADJ fis-4238 261 7 x x VERB fis-4238 262 1 i i PRON fis-4238 262 2 i i PRON fis-4238 262 3 immx immx VERB fis-4238 262 4 x x X fis-4238 263 1 f f NOUN fis-4238 263 2 x x SYM fis-4238 263 3 f f NOUN fis-4238 263 4 x x AUX fis-4238 263 5 log log VERB fis-4238 263 6 f f PROPN fis-4238 263 7 x x X fis-4238 263 8 dx dx PROPN fis-4238 263 9 g g PROPN fis-4238 263 10 x x PROPN fis-4238 263 11 f f PROPN fis-4238 263 12 x x X fis-4238 263 13 dx dx PROPN fis-4238 263 14 x x SYM fis-4238 263 15 ( ( PUNCT fis-4238 263 16 20 20 NUM fis-4238 263 17 ) ) PUNCT fis-4238 263 18 the the DET fis-4238 263 19 aim aim NOUN fis-4238 263 20 is be AUX fis-4238 263 21 to to PART fis-4238 263 22 find find VERB fis-4238 263 23 the the DET fis-4238 263 24 pdf pdf NOUN fis-4238 263 25   NOUN fis-4238 264 1   PUNCT fis-4238 264 2 ix ix ADV fis-4238 264 3 if if SCONJ fis-4238 264 4 x x PRON fis-4238 264 5 that that PRON fis-4238 264 6 does do AUX fis-4238 264 7 not not PART fis-4238 264 8 violate violate VERB fis-4238 264 9 the the DET fis-4238 264 10 restrictions restriction NOUN fis-4238 264 11 and and CCONJ fis-4238 264 12 maximize maximize VERB fis-4238 264 13 the the DET fis-4238 264 14 information information NOUN fis-4238 264 15 entropy entropy VERB fis-4238 264 16 . . PUNCT fis-4238 265 1 this this PRON fis-4238 265 2 implies imply VERB fis-4238 265 3 finding find VERB fis-4238 265 4 the the DET fis-4238 265 5 m m PROPN fis-4238 265 6 lagrange lagrange NOUN fis-4238 265 7 multipliers multiplier NOUN fis-4238 265 8 im im PROPN fis-4238 265 9 of of ADP fis-4238 265 10 the the DET fis-4238 265 11 i i PROPN fis-4238 265 12 -th -th NOUN fis-4238 265 13 variable variable NOUN fis-4238 265 14 , , PUNCT fis-4238 265 15 ix ix ADV fis-4238 265 16 , , PUNCT fis-4238 265 17 and and CCONJ fis-4238 265 18 the the DET fis-4238 265 19 values value NOUN fis-4238 265 20 of of ADP fis-4238 265 21 the the DET fis-4238 265 22 pdf pdf NOUN fis-4238 265 23   NOUN fis-4238 265 24   PUNCT fis-4238 265 25 ix ix ADV fis-4238 265 26 if if SCONJ fis-4238 265 27 x x PART fis-4238 265 28 to to PART fis-4238 265 29 achieve achieve VERB fis-4238 265 30 the the DET fis-4238 265 31 extreme extreme NOUN fis-4238 265 32 of of ADP fis-4238 265 33 the the DET fis-4238 265 34 functional functional ADJ fis-4238 265 35   NOUN fis-4238 265 36   PUNCT fis-4238 265 37   PROPN fis-4238 265 38   VERB fis-4238 265 39   PROPN fis-4238 265 40     SPACE fis-4238 265 41 ix ix ADV fis-4238 265 42 if if SCONJ fis-4238 265 43 x x PRON fis-4238 265 44 , , PUNCT fis-4238 265 45 observing observe VERB fis-4238 265 46 the the DET fis-4238 265 47 set set NOUN fis-4238 265 48 of of ADP fis-4238 265 49 restrictions restriction NOUN fis-4238 265 50 . . PUNCT fis-4238 266 1 this this PRON fis-4238 266 2 is be AUX fis-4238 266 3 accomplished accomplish VERB fis-4238 266 4 by by ADP fis-4238 266 5 assuming assume VERB fis-4238 266 6 an an DET fis-4238 266 7 arbitrary arbitrary ADJ fis-4238 266 8 perturbation perturbation NOUN fis-4238 266 9   NOUN fis-4238 266 10   PUNCT fis-4238 267 1   VERB fis-4238 267 2         SPACE fis-4238 267 3 ix ix ADV fis-4238 267 4 if if SCONJ fis-4238 267 5 x x PART fis-4238 267 6 to to PART fis-4238 267 7 which which PRON fis-4238 267 8 the the DET fis-4238 267 9 null null ADJ fis-4238 267 10 value value NOUN fis-4238 267 11 is be AUX fis-4238 267 12 attributed attribute VERB fis-4238 267 13 at at ADP fis-4238 267 14 the the DET fis-4238 267 15 extrema extrema NOUN fis-4238 267 16 of of ADP fis-4238 267 17 the the DET fis-4238 267 18 support support NOUN fis-4238 267 19 interval interval NOUN fis-4238 267 20 . . PUNCT fis-4238 268 1 thus thus ADV fis-4238 268 2 , , PUNCT fis-4238 268 3 the the DET fis-4238 268 4 first first ADJ fis-4238 268 5 variation variation NOUN fis-4238 268 6   NOUN fis-4238 268 7   PUNCT fis-4238 268 8     SPACE fis-4238 268 9 ix ix ADV fis-4238 268 10 if if SCONJ fis-4238 268 11 x x PRON fis-4238 268 12 of of ADP fis-4238 268 13 this this DET fis-4238 268 14 functional functional NOUN fis-4238 268 15 is be AUX fis-4238 268 16 given give VERB fis-4238 268 17 by by ADP fis-4238 268 18 eqn eqn NOUN fis-4238 268 19 . . PUNCT fis-4238 269 1 21 21 NUM fis-4238 269 2 . . PUNCT fis-4238 270 1 in in ADP fis-4238 270 2 terms term NOUN fis-4238 270 3 of of ADP fis-4238 270 4 lagrange lagrange NOUN fis-4238 270 5 multipliers multiplier NOUN fis-4238 270 6 , , PUNCT fis-4238 270 7 this this DET fis-4238 270 8 calculation calculation NOUN fis-4238 270 9 yields yield VERB fis-4238 270 10 eqn eqn VERB fis-4238 270 11 . . PUNCT fis-4238 271 1 22 22 NUM fis-4238 271 2 . . PUNCT fis-4238 272 1   NOUN fis-4238 272 2   SYM fis-4238 272 3   NOUN fis-4238 272 4   SYM fis-4238 272 5   NOUN fis-4238 272 6   PROPN fis-4238 272 7   PROPN fis-4238 272 8   PROPN fis-4238 272 9   NUM fis-4238 272 10   PROPN fis-4238 272 11   PROPN fis-4238 272 12   NOUN fis-4238 272 13   ADP fis-4238 272 14   VERB fis-4238 273 1   PROPN fis-4238 273 2   NOUN fis-4238 273 3   NOUN fis-4238 273 4   VERB fis-4238 273 5   VERB fis-4238 274 1   ADJ fis-4238 274 2   PROPN fis-4238 274 3   PROPN fis-4238 274 4   PROPN fis-4238 274 5   PROPN fis-4238 274 6   NOUN fis-4238 274 7   PROPN fis-4238 274 8 0 0 NUM fis-4238 274 9             SPACE fis-4238 274 10 0i 0i NOUN fis-4238 275 1 i i PRON fis-4238 275 2 i i VERB fis-4238 275 3 x x VERB fis-4238 276 1 i i NOUN fis-4238 276 2 x x VERB fis-4238 277 1 i i NOUN fis-4238 277 2 x x VERB fis-4238 278 1 i i PRON fis-4238 278 2 f f NOUN fis-4238 279 1 x x X fis-4238 279 2 f f NOUN fis-4238 279 3 x x X fis-4238 280 1 f f NOUN fis-4238 280 2 x x X fis-4238 280 3 ( ( PUNCT fis-4238 280 4 21 21 NUM fis-4238 280 5 ) ) PUNCT fis-4238 280 6   NOUN fis-4238 280 7   PUNCT fis-4238 280 8   NOUN fis-4238 280 9   SYM fis-4238 280 10   NOUN fis-4238 280 11   SYM fis-4238 280 12   NOUN fis-4238 280 13   ADJ fis-4238 280 14   PROPN fis-4238 280 15   PROPN fis-4238 280 16   ADJ fis-4238 280 17   PROPN fis-4238 280 18   PROPN fis-4238 280 19   ADJ fis-4238 280 20   PROPN fis-4238 280 21   NOUN fis-4238 280 22   PROPN fis-4238 280 23   PROPN fis-4238 280 24   PROPN fis-4238 280 25   PART fis-4238 280 26   PROPN fis-4238 280 27   PROPN fis-4238 280 28   VERB fis-4238 280 29   PROPN fis-4238 280 30   X fis-4238 280 31 0 0 PUNCT fis-4238 280 32         SPACE fis-4238 280 33 1 1 NUM fis-4238 280 34         SPACE fis-4238 280 35 0 0 NUM fis-4238 280 36 m m VERB fis-4238 280 37 i i PRON fis-4238 281 1 i i PRON fis-4238 281 2 i i PRON fis-4238 281 3 n n VERB fis-4238 281 4 x x VERB fis-4238 282 1 i i NOUN fis-4238 282 2 x x PROPN fis-4238 283 1 i i NOUN fis-4238 283 2 x x VERB fis-4238 283 3 i i PRON fis-4238 283 4 i i VERB fis-4238 283 5 m m VERB fis-4238 283 6 m m VERB fis-4238 283 7 i i PRON fis-4238 283 8 i i VERB fis-4238 283 9 m m VERB fis-4238 283 10 f f VERB fis-4238 283 11 x x X fis-4238 283 12 f f X fis-4238 283 13 x x PUNCT fis-4238 283 14 log log VERB fis-4238 283 15 f f NOUN fis-4238 283 16 x x SYM fis-4238 283 17 g g PROPN fis-4238 283 18 x x X fis-4238 283 19 dx dx PROPN fis-4238 283 20 ( ( PUNCT fis-4238 283 21 22 22 NUM fis-4238 283 22 ) ) PUNCT fis-4238 283 23 the the DET fis-4238 283 24 term term NOUN fis-4238 283 25 inside inside ADP fis-4238 283 26 the the DET fis-4238 283 27 brackets bracket NOUN fis-4238 283 28 must must AUX fis-4238 283 29 vanish vanish VERB fis-4238 283 30 because because SCONJ fis-4238 283 31 of of ADP fis-4238 283 32 the the DET fis-4238 283 33 arbitrariness arbitrariness NOUN fis-4238 283 34 of of ADP fis-4238 283 35 the the DET fis-4238 283 36 perturbation perturbation NOUN fis-4238 283 37   NOUN fis-4238 283 38   PUNCT fis-4238 283 39     SPACE fis-4238 283 40 ix ix ADV fis-4238 283 41 if if SCONJ fis-4238 283 42 x x X fis-4238 283 43 . . PUNCT fis-4238 284 1 therefore therefore ADV fis-4238 284 2 , , PUNCT fis-4238 284 3 the the DET fis-4238 284 4 pdf pdf NOUN fis-4238 284 5 is be AUX fis-4238 284 6 expressed express VERB fis-4238 284 7 by by ADP fis-4238 284 8 eqn eqn PROPN fis-4238 284 9 . . PROPN fis-4238 285 1 23 23 NUM fis-4238 285 2 , , PUNCT fis-4238 285 3 where where SCONJ fis-4238 285 4 the the DET fis-4238 285 5 mn mn PROPN fis-4238 285 6 constants constant VERB fis-4238 285 7 im im PROPN fis-4238 285 8 of of ADP fis-4238 285 9 the the DET fis-4238 285 10 i i PROPN fis-4238 285 11 -th -th NOUN fis-4238 285 12 variable variable NOUN fis-4238 285 13 are be AUX fis-4238 285 14 calculated calculate VERB fis-4238 285 15 from from ADP fis-4238 285 16 the the DET fis-4238 285 17 available available ADJ fis-4238 285 18 information information NOUN fis-4238 285 19 about about ADP fis-4238 285 20 the the DET fis-4238 285 21 moments moment NOUN fis-4238 285 22 of of ADP fis-4238 285 23 the the DET fis-4238 285 24 distribution distribution NOUN fis-4238 285 25 . . PUNCT fis-4238 286 1 commonly commonly ADV fis-4238 286 2 , , PUNCT fis-4238 286 3 the the DET fis-4238 286 4 lagrange lagrange NOUN fis-4238 286 5 multipliers multiplier NOUN fis-4238 286 6 are be AUX fis-4238 286 7 obtained obtain VERB fis-4238 286 8 from from ADP fis-4238 286 9 the the DET fis-4238 286 10 solution solution NOUN fis-4238 286 11 of of ADP fis-4238 286 12 a a DET fis-4238 286 13 nonlinear nonlinear ADJ fis-4238 286 14 system system NOUN fis-4238 286 15 of of ADP fis-4238 286 16 algebraic algebraic ADJ fis-4238 286 17 equations equation NOUN fis-4238 286 18 . . PUNCT fis-4238 287 1 the the DET fis-4238 287 2 next next ADJ fis-4238 287 3 subsection subsection NOUN fis-4238 287 4 is be AUX fis-4238 287 5 dedicated dedicate VERB fis-4238 287 6 to to ADP fis-4238 287 7 the the DET fis-4238 287 8 solution solution NOUN fis-4238 287 9 of of ADP fis-4238 287 10 the the DET fis-4238 287 11 case case NOUN fis-4238 287 12 applied apply VERB fis-4238 287 13 here here ADV fis-4238 287 14 : : PUNCT fis-4238 287 15 known know VERB fis-4238 287 16 interval interval NOUN fis-4238 287 17 and and CCONJ fis-4238 287 18 mean mean ADJ fis-4238 287 19 . . PUNCT fis-4238 288 1   NOUN fis-4238 288 2   PROPN fis-4238 288 3   NOUN fis-4238 288 4   PUNCT fis-4238 289 1   PROPN fis-4238 289 2   NUM fis-4238 289 3   NOUN fis-4238 289 4   PROPN fis-4238 289 5   PROPN fis-4238 289 6   NOUN fis-4238 289 7 0 0 NUM fis-4238 289 8 1 1 NUM fis-4238 289 9 m m VERB fis-4238 289 10 i i PRON fis-4238 289 11 n n ADJ fis-4238 289 12 x x VERB fis-4238 289 13 i i PRON fis-4238 289 14 i i VERB fis-4238 289 15 m m VERB fis-4238 289 16 m m VERB fis-4238 289 17 i i PRON fis-4238 289 18 m m NOUN fis-4238 289 19 f f NOUN fis-4238 289 20 x x X fis-4238 289 21 exp exp NOUN fis-4238 289 22 g g PROPN fis-4238 289 23 x x X fis-4238 289 24 ( ( PUNCT fis-4238 289 25 23 23 NUM fis-4238 289 26 ) ) PUNCT fis-4238 289 27 maximum maximum ADJ fis-4238 289 28 entropy entropy NOUN fis-4238 289 29 distribution distribution NOUN fis-4238 289 30 ( ( PUNCT fis-4238 289 31 known know VERB fis-4238 289 32 interval interval NOUN fis-4238 289 33 and and CCONJ fis-4238 289 34 mean mean VERB fis-4238 289 35 ) ) PUNCT fis-4238 289 36 if if SCONJ fis-4238 289 37 a a DET fis-4238 289 38 positive positive ADJ fis-4238 289 39 mean mean NOUN fis-4238 289 40 is be AUX fis-4238 289 41 specified specify VERB fis-4238 289 42 in in ADP fis-4238 289 43 addition addition NOUN fis-4238 289 44 to to ADP fis-4238 289 45 the the DET fis-4238 289 46 constrained constrained ADJ fis-4238 289 47 interval interval NOUN fis-4238 289 48 , , PUNCT fis-4238 289 49 the the DET fis-4238 289 50 following follow VERB fis-4238 289 51 constraints constraint NOUN fis-4238 289 52 are be AUX fis-4238 289 53 required require VERB fis-4238 289 54 , , PUNCT fis-4238 289 55 i.e. i.e. X fis-4238 289 56 individual individual ADJ fis-4238 289 57 probabilities probability NOUN fis-4238 289 58 have have VERB fis-4238 289 59 to to PART fis-4238 289 60 add add VERB fis-4238 289 61 up up ADP fis-4238 289 62 1 1 NUM fis-4238 289 63 and and CCONJ fis-4238 289 64 mean mean ADJ fis-4238 289 65 definition definition NOUN fis-4238 289 66 , , PUNCT fis-4238 289 67 respectively respectively ADV fis-4238 289 68 , , PUNCT fis-4238 289 69 eqns eqns PROPN fis-4238 289 70 . . PUNCT fis-4238 290 1 24 24 NUM fis-4238 290 2 and and CCONJ fis-4238 290 3 25 25 NUM fis-4238 290 4 , , PUNCT fis-4238 290 5   PROPN fis-4238 290 6   NOUN fis-4238 290 7   PROPN fis-4238 290 8 1 1 NUM fis-4238 290 9 1r 1r NUM fis-4238 291 1 i i PRON fis-4238 291 2 n n VERB fis-4238 291 3 xr xr NOUN fis-4238 291 4 r r PROPN fis-4238 291 5 p p PROPN fis-4238 291 6 ( ( PUNCT fis-4238 291 7 24 24 NUM fis-4238 291 8 ) ) PUNCT fis-4238 291 9   NOUN fis-4238 291 10   PUNCT fis-4238 291 11   NOUN fis-4238 291 12   NOUN fis-4238 291 13   PROPN fis-4238 291 14   NOUN fis-4238 291 15 11 11 NUM fis-4238 291 16 r r NOUN fis-4238 291 17 i i PRON fis-4238 291 18 n n NOUN fis-4238 291 19 i i NOUN fis-4238 291 20 x x PUNCT fis-4238 292 1 irr irr NOUN fis-4238 292 2 r r NOUN fis-4238 292 3 x x X fis-4238 292 4 p p X fis-4238 292 5 x x X fis-4238 292 6 ( ( PUNCT fis-4238 292 7 25 25 NUM fis-4238 292 8 ) ) PUNCT fis-4238 292 9 r. r. PROPN fis-4238 292 10 b. b. PROPN fis-4238 292 11 p. p. PROPN fis-4238 292 12 nonato nonato PROPN fis-4238 292 13 , , PUNCT fis-4238 292 14 frattura frattura PROPN fis-4238 292 15 ed ed PROPN fis-4238 292 16 integrità integrità PROPN fis-4238 292 17 strutturale strutturale PROPN fis-4238 292 18 , , PUNCT fis-4238 292 19 65 65 NUM fis-4238 292 20 ( ( PUNCT fis-4238 292 21 2023 2023 NUM fis-4238 292 22 ) ) PUNCT fis-4238 292 23 17 17 NUM fis-4238 292 24 - - SYM fis-4238 292 25 37 37 NUM fis-4238 292 26 ; ; PUNCT fis-4238 292 27 doi doi NOUN fis-4238 292 28 : : PUNCT fis-4238 292 29 10.3221 10.3221 NUM fis-4238 292 30 / / SYM fis-4238 292 31 igf igf PROPN fis-4238 292 32 - - NOUN fis-4238 292 33 esis.66.02 esis.66.02 NOUN fis-4238 292 34 26 26 NUM fis-4238 292 35 where where SCONJ fis-4238 292 36   NOUN fis-4238 292 37   PROPN fis-4238 292 38 ix ix ADP fis-4238 292 39 r r PROPN fis-4238 292 40 p p NOUN fis-4238 292 41 is be AUX fis-4238 292 42 the the DET fis-4238 292 43 r r NOUN fis-4238 292 44 -th -th NOUN fis-4238 292 45 probability probability NOUN fis-4238 292 46 of of ADP fis-4238 292 47 the the DET fis-4238 292 48 i i PRON fis-4238 292 49 -th -th NOUN fis-4238 292 50 uiq uiq ADJ fis-4238 292 51 and and CCONJ fis-4238 292 52   PROPN fis-4238 292 53 i i PROPN fis-4238 293 1 r r NOUN fis-4238 293 2 x x NOUN fis-4238 293 3 is be AUX fis-4238 293 4 the the DET fis-4238 293 5 r r NOUN fis-4238 293 6 -th -th NOUN fis-4238 293 7 outcome outcome NOUN fis-4238 293 8 ( ( PUNCT fis-4238 293 9 realization realization NOUN fis-4238 293 10 ) ) PUNCT fis-4238 293 11 of of ADP fis-4238 293 12 the the DET fis-4238 293 13 i i PROPN fis-4238 293 14 -th -th NOUN fis-4238 293 15 uiq uiq PROPN fis-4238 293 16 . . PUNCT fis-4238 294 1 in in ADP fis-4238 294 2 order order NOUN fis-4238 294 3 to to PART fis-4238 294 4 solve solve VERB fis-4238 294 5 this this DET fis-4238 294 6 problem problem NOUN fis-4238 294 7 , , PUNCT fis-4238 294 8 the the DET fis-4238 294 9 method method NOUN fis-4238 294 10 of of ADP fis-4238 294 11 lagrange lagrange NOUN fis-4238 294 12 multipliers multiplier NOUN fis-4238 294 13 is be AUX fis-4238 294 14 used use VERB fis-4238 294 15 , , PUNCT fis-4238 294 16 which which PRON fis-4238 294 17 in in ADP fis-4238 294 18 this this DET fis-4238 294 19 context context NOUN fis-4238 294 20 consists consist VERB fis-4238 294 21 of of ADP fis-4238 294 22 calculating calculate VERB fis-4238 294 23 the the DET fis-4238 294 24 derivative derivative NOUN fis-4238 294 25 of of ADP fis-4238 294 26 the the DET fis-4238 294 27 following follow VERB fis-4238 294 28 function function NOUN fis-4238 294 29 , , PUNCT fis-4238 294 30 ( ( PUNCT fis-4238 294 31 eqn eqn NOUN fis-4238 294 32 . . PROPN fis-4238 294 33 26 26 NUM fis-4238 294 34 ) ) PUNCT fis-4238 294 35 , , PUNCT fis-4238 294 36   NOUN fis-4238 294 37   SYM fis-4238 294 38   NOUN fis-4238 294 39   SYM fis-4238 294 40   NOUN fis-4238 294 41   SYM fis-4238 294 42   NOUN fis-4238 294 43   PUNCT fis-4238 294 44   NUM fis-4238 295 1   NUM fis-4238 295 2   NOUN fis-4238 295 3   PUNCT fis-4238 295 4   PROPN fis-4238 295 5   NUM fis-4238 295 6   NOUN fis-4238 295 7   X fis-4238 295 8 1 1 NOUN fis-4238 295 9 1 1 NUM fis-4238 295 10 1 1 NUM fis-4238 295 11 r r NOUN fis-4238 295 12 r r NOUN fis-4238 296 1 i i PRON fis-4238 297 1 i i PRON fis-4238 297 2 n n VERB fis-4238 297 3 n n NOUN fis-4238 297 4 x x VERB fis-4238 298 1 i i PRON fis-4238 298 2 m m VERB fis-4238 298 3 i i PRON fis-4238 298 4 xrr xrr NOUN fis-4238 299 1 rr rr NOUN fis-4238 300 1 r r NOUN fis-4238 301 1 f f PROPN fis-4238 302 1 h h NOUN fis-4238 303 1 ln ln PROPN fis-4238 304 1 b b PROPN fis-4238 304 2 p p X fis-4238 304 3 x x X fis-4238 304 4 p p X fis-4238 304 5 ( ( PUNCT fis-4238 304 6 26 26 NUM fis-4238 304 7 ) ) PUNCT fis-4238 304 8 where where SCONJ fis-4238 304 9 im im PROPN fis-4238 304 10 is be AUX fis-4238 304 11 the the DET fis-4238 304 12 lagrange lagrange NOUN fis-4238 304 13 multiplier multiplier ADV fis-4238 304 14 associated associate VERB fis-4238 304 15 to to ADP fis-4238 304 16 the the DET fis-4238 304 17 constrained constrain VERB fis-4238 304 18 mean mean NOUN fis-4238 304 19 . . PUNCT fis-4238 305 1 the the DET fis-4238 305 2 constant constant ADJ fis-4238 305 3 b b NOUN fis-4238 305 4 is be AUX fis-4238 305 5 fixed fix VERB fis-4238 305 6 by by ADP fis-4238 305 7 the the DET fis-4238 305 8 condition condition NOUN fis-4238 305 9   NOUN fis-4238 305 10   PROPN fis-4238 306 1   PROPN fis-4238 306 2 1 1 NUM fis-4238 306 3 1r 1r NUM fis-4238 307 1 i i PRON fis-4238 307 2 n n VERB fis-4238 307 3 xr xr NOUN fis-4238 307 4 r r NOUN fis-4238 307 5 p p PROPN fis-4238 307 6 in in ADP fis-4238 307 7 what what PRON fis-4238 307 8 refers refer VERB fis-4238 307 9 to to ADP fis-4238 307 10 the the DET fis-4238 307 11 term term NOUN fis-4238 307 12   NOUN fis-4238 307 13   PUNCT fis-4238 307 14   PROPN fis-4238 307 15   PROPN fis-4238 307 16   NOUN fis-4238 307 17   VERB fis-4238 307 18 1 1 NUM fis-4238 307 19     SPACE fis-4238 307 20 rn rn PROPN fis-4238 307 21 i i NOUN fis-4238 307 22 m m VERB fis-4238 307 23 i i PRON fis-4238 307 24 rr rr VERB fis-4238 307 25 exp exp NOUN fis-4238 307 26 x x NOUN fis-4238 307 27 . . PUNCT fis-4238 308 1 the the DET fis-4238 308 2 differentiation differentiation NOUN fis-4238 308 3 of of ADP fis-4238 308 4 eqn eqn NOUN fis-4238 308 5 . . PUNCT fis-4238 309 1 26 26 NUM fis-4238 309 2 yields yield NOUN fis-4238 309 3 eqn eqn NOUN fis-4238 309 4 . . PUNCT fis-4238 310 1 27 27 NUM fis-4238 310 2 : : PUNCT fis-4238 311 1   NOUN fis-4238 311 2   SYM fis-4238 311 3   NOUN fis-4238 311 4   SYM fis-4238 311 5   NOUN fis-4238 311 6   ADJ fis-4238 311 7   PROPN fis-4238 311 8   PROPN fis-4238 311 9   PUNCT fis-4238 311 10   ADJ fis-4238 311 11   PROPN fis-4238 311 12   PROPN fis-4238 311 13   PROPN fis-4238 311 14   PROPN fis-4238 311 15   PROPN fis-4238 311 16 i i PROPN fis-4238 311 17 ix ix ADP fis-4238 311 18 i i PRON fis-4238 311 19 m m VERB fis-4238 311 20 i i PRON fis-4238 311 21 xrr xrr PUNCT fis-4238 312 1 r r NOUN fis-4238 312 2 f f PROPN fis-4238 312 3 ln ln NOUN fis-4238 312 4 p p X fis-4238 312 5 ln ln PROPN fis-4238 312 6 b b PROPN fis-4238 312 7 x x X fis-4238 312 8 p p X fis-4238 312 9 ( ( PUNCT fis-4238 312 10 27 27 NUM fis-4238 312 11 ) ) PUNCT fis-4238 312 12 thenceforth thenceforth NOUN fis-4238 312 13 , , PUNCT fis-4238 312 14 the the DET fis-4238 312 15 maximum maximum ADJ fis-4238 312 16 entropy entropy NOUN fis-4238 312 17 distribution distribution NOUN fis-4238 312 18 for for ADP fis-4238 312 19 the the DET fis-4238 312 20 described describe VERB fis-4238 312 21 constraints constraint NOUN fis-4238 312 22 is be AUX fis-4238 312 23 expressed express VERB fis-4238 312 24 by by ADP fis-4238 312 25 eqn eqn PROPN fis-4238 312 26 . . PUNCT fis-4238 313 1 28 28 NUM fis-4238 313 2 , , PUNCT fis-4238 313 3 which which PRON fis-4238 313 4 is be AUX fis-4238 313 5 exponential exponential ADJ fis-4238 313 6 . . PUNCT fis-4238 314 1 the the DET fis-4238 314 2 lagrange lagrange NOUN fis-4238 314 3 multiplier multipli ADJ fis-4238 314 4 im im PROPN fis-4238 314 5 is be AUX fis-4238 314 6 obtained obtain VERB fis-4238 314 7 from from ADP fis-4238 314 8 the the DET fis-4238 314 9 mean mean NOUN fis-4238 314 10 ( ( PUNCT fis-4238 314 11 eqn eqn NOUN fis-4238 314 12 . . PROPN fis-4238 314 13 25 25 NUM fis-4238 314 14 ) ) PUNCT fis-4238 314 15 . . PUNCT fis-4238 315 1 therefore therefore ADV fis-4238 315 2 , , PUNCT fis-4238 315 3 if if SCONJ fis-4238 315 4 the the DET fis-4238 315 5 support support NOUN fis-4238 315 6 interval interval NOUN fis-4238 315 7 and and CCONJ fis-4238 315 8 the the DET fis-4238 315 9 first first ADJ fis-4238 315 10 moment moment NOUN fis-4238 315 11 are be AUX fis-4238 315 12 the the DET fis-4238 315 13 only only ADJ fis-4238 315 14 information information NOUN fis-4238 315 15 available available ADJ fis-4238 315 16 , , PUNCT fis-4238 315 17 the the DET fis-4238 315 18 truncated truncate VERB fis-4238 315 19 exponential exponential ADJ fis-4238 315 20 probabilistic probabilistic ADJ fis-4238 315 21 distribution distribution NOUN fis-4238 315 22 maximizes maximize VERB fis-4238 315 23 the the DET fis-4238 315 24 uncertainty uncertainty NOUN fis-4238 315 25 . . PUNCT fis-4238 316 1   NOUN fis-4238 316 2   PROPN fis-4238 316 3   NOUN fis-4238 316 4   PUNCT fis-4238 317 1   PROPN fis-4238 317 2   VERB fis-4238 317 3   PROPN fis-4238 317 4 1 1 NUM fis-4238 317 5 . . PUNCT fis-4238 318 1 ix ix PROPN fis-4238 319 1 i i PRON fis-4238 319 2 m m VERB fis-4238 319 3 i i PRON fis-4238 319 4 rr rr VERB fis-4238 319 5 p p PROPN fis-4238 319 6 exp exp PROPN fis-4238 319 7 x x PROPN fis-4238 319 8 b b PROPN fis-4238 319 9 ( ( PUNCT fis-4238 319 10 28 28 NUM fis-4238 319 11 ) ) PUNCT fis-4238 319 12 numerical numerical ADJ fis-4238 319 13 example example NOUN fis-4238 320 1 he he PRON fis-4238 320 2 primary primary ADJ fis-4238 320 3 description description NOUN fis-4238 320 4 of of ADP fis-4238 320 5 the the DET fis-4238 320 6 tubular tubular ADJ fis-4238 320 7 plane plane NOUN fis-4238 320 8 truss truss NOUN fis-4238 320 9 problem problem NOUN fis-4238 320 10 is be AUX fis-4238 320 11 made make VERB fis-4238 320 12 , , PUNCT fis-4238 320 13 presenting present VERB fis-4238 320 14 all all DET fis-4238 320 15 the the DET fis-4238 320 16 input input NOUN fis-4238 320 17 data datum NOUN fis-4238 320 18 and and CCONJ fis-4238 320 19 establishing establish VERB fis-4238 320 20 the the DET fis-4238 320 21 calculation calculation NOUN fis-4238 320 22 scope scope NOUN fis-4238 320 23 . . PUNCT fis-4238 321 1 this this PRON fis-4238 321 2 includes include VERB fis-4238 321 3 material material NOUN fis-4238 321 4 , , PUNCT fis-4238 321 5 geometrical geometrical ADJ fis-4238 321 6 , , PUNCT fis-4238 321 7 and and CCONJ fis-4238 321 8 loading loading NOUN fis-4238 321 9 parameters parameter NOUN fis-4238 321 10 . . PUNCT fis-4238 322 1 moreover moreover ADV fis-4238 322 2 , , PUNCT fis-4238 322 3 the the DET fis-4238 322 4 strategy strategy NOUN fis-4238 322 5 to to PART fis-4238 322 6 apply apply VERB fis-4238 322 7 the the DET fis-4238 322 8 multi multi ADJ fis-4238 322 9 - - ADJ fis-4238 322 10 level level ADJ fis-4238 322 11 uqfw uqfw NOUN fis-4238 322 12 to to PART fis-4238 322 13 solve solve VERB fis-4238 322 14 the the DET fis-4238 322 15 problem problem NOUN fis-4238 322 16 is be AUX fis-4238 322 17 detailed detail VERB fis-4238 322 18 . . PUNCT fis-4238 323 1 description description NOUN fis-4238 323 2 of of ADP fis-4238 323 3 the the DET fis-4238 323 4 problem problem NOUN fis-4238 323 5 fig fig NOUN fis-4238 323 6 . . PUNCT fis-4238 324 1 3 3 NUM fis-4238 324 2 illustrates illustrate VERB fis-4238 324 3 the the DET fis-4238 324 4 bi bi ADJ fis-4238 324 5 - - ADJ fis-4238 324 6 dimensional dimensional ADJ fis-4238 324 7 example example NOUN fis-4238 324 8 to to PART fis-4238 324 9 be be AUX fis-4238 324 10 numerically numerically ADV fis-4238 324 11 solved solve VERB fis-4238 324 12 by by ADP fis-4238 324 13 the the DET fis-4238 324 14 application application NOUN fis-4238 324 15 of of ADP fis-4238 324 16 the the DET fis-4238 324 17 multi multi ADJ fis-4238 324 18 - - ADJ fis-4238 324 19 level level ADJ fis-4238 324 20 probabilistic probabilistic ADJ fis-4238 324 21 uncertainty uncertainty NOUN fis-4238 324 22 quantification quantification NOUN fis-4238 324 23 framework framework NOUN fis-4238 324 24 . . PUNCT fis-4238 325 1 the the DET fis-4238 325 2 prismatic prismatic ADJ fis-4238 325 3 tubular tubular ADJ fis-4238 325 4 structural structural ADJ fis-4238 325 5 elements element NOUN fis-4238 325 6 are be AUX fis-4238 325 7 made make VERB fis-4238 325 8 of of ADP fis-4238 325 9 astm astm PROPN fis-4238 325 10 a36 a36 NOUN fis-4238 325 11 and and CCONJ fis-4238 325 12 pinned pin VERB fis-4238 325 13 to to ADP fis-4238 325 14 the the DET fis-4238 325 15 rigid rigid ADJ fis-4238 325 16 supports support NOUN fis-4238 325 17 . . PUNCT fis-4238 326 1 it it PRON fis-4238 326 2 is be AUX fis-4238 326 3 a a DET fis-4238 326 4 3 3 NUM fis-4238 326 5 - - PUNCT fis-4238 326 6 element element NOUN fis-4238 326 7 and and CCONJ fis-4238 326 8 4 4 NUM fis-4238 326 9 - - ADJ fis-4238 326 10 node node ADJ fis-4238 326 11 truss truss NOUN fis-4238 326 12 system system NOUN fis-4238 326 13 , , PUNCT fis-4238 326 14 where where SCONJ fis-4238 326 15 two two NUM fis-4238 326 16 concentrated concentrated ADJ fis-4238 326 17 loads load NOUN fis-4238 326 18 are be AUX fis-4238 326 19 applied apply VERB fis-4238 326 20 to to ADP fis-4238 326 21 the the DET fis-4238 326 22 unique unique ADJ fis-4238 326 23 free free ADJ fis-4238 326 24 node node NOUN fis-4238 326 25 . . PUNCT fis-4238 327 1 loads load NOUN fis-4238 327 2 1x 1x VERB fis-4238 328 1 p p X fis-4238 328 2 ( ( PUNCT fis-4238 328 3 horizontally horizontally ADV fis-4238 328 4 directed direct VERB fis-4238 328 5 to to ADP fis-4238 328 6 the the DET fis-4238 328 7 left left NOUN fis-4238 328 8 ) ) PUNCT fis-4238 328 9 and and CCONJ fis-4238 328 10 1y 1y ADJ fis-4238 328 11 p p X fis-4238 328 12 ( ( PUNCT fis-4238 328 13 vertically vertically ADV fis-4238 328 14 pointed point VERB fis-4238 328 15 down down ADP fis-4238 328 16 ) ) PUNCT fis-4238 328 17 , , PUNCT fis-4238 328 18 which which PRON fis-4238 328 19 are be AUX fis-4238 328 20 represented represent VERB fis-4238 328 21 in in ADP fis-4238 328 22 fig fig NOUN fis-4238 328 23 . . PUNCT fis-4238 329 1 3 3 NUM fis-4238 329 2 , , PUNCT fis-4238 329 3 are be AUX fis-4238 329 4 the the DET fis-4238 329 5 expected expect VERB fis-4238 329 6 values value NOUN fis-4238 329 7 of of ADP fis-4238 329 8 1x 1x NUM fis-4238 329 9 p p NOUN fis-4238 329 10 , , PUNCT fis-4238 329 11 and and CCONJ fis-4238 329 12 1y 1y PROPN fis-4238 329 13 p p NOUN fis-4238 329 14 , , PUNCT fis-4238 329 15 respectively respectively ADV fis-4238 329 16 . . PUNCT fis-4238 330 1 they they PRON fis-4238 330 2 are be AUX fis-4238 330 3 modeled model VERB fis-4238 330 4 as as ADP fis-4238 330 5 variables variable NOUN fis-4238 330 6 with with ADP fis-4238 330 7 constant constant ADJ fis-4238 330 8 amplitude amplitude NOUN fis-4238 330 9 with with ADP fis-4238 330 10 stress stress NOUN fis-4238 330 11 ratio ratio NOUN fis-4238 330 12   PROPN fis-4238 330 13 0.05r 0.05r PROPN fis-4238 330 14 , , PUNCT fis-4238 330 15 i.e. i.e. X fis-4238 330 16 given give VERB fis-4238 330 17 the the DET fis-4238 330 18 uncertain uncertain ADJ fis-4238 330 19 maximum maximum ADJ fis-4238 330 20 load load NOUN fis-4238 330 21 magnitude magnitude NOUN fis-4238 330 22 , , PUNCT fis-4238 330 23 the the DET fis-4238 330 24 minimum minimum NOUN fis-4238 330 25 load load NOUN fis-4238 330 26 magnitude magnitude NOUN fis-4238 330 27 is be AUX fis-4238 330 28 obtained obtain VERB fis-4238 330 29 through through ADP fis-4238 330 30 the the DET fis-4238 330 31 ratio ratio NOUN fis-4238 330 32 r r NOUN fis-4238 330 33 . . PUNCT fis-4238 331 1 each each DET fis-4238 331 2 element element NOUN fis-4238 331 3 is be AUX fis-4238 331 4 characterized characterize VERB fis-4238 331 5 geometrically geometrically ADV fis-4238 331 6 by by ADP fis-4238 331 7 its its PRON fis-4238 331 8 length length NOUN fis-4238 331 9   PROPN fis-4238 331 10 el el PROPN fis-4238 331 11 , , PUNCT fis-4238 331 12 outside outside ADP fis-4238 331 13 diameter diameter NOUN fis-4238 331 14   PROPN fis-4238 331 15 ed ed NOUN fis-4238 331 16 , , PUNCT fis-4238 331 17 thickness thickness NOUN fis-4238 331 18   NOUN fis-4238 331 19 et et NOUN fis-4238 331 20 , , PUNCT fis-4238 331 21 initial initial ADJ fis-4238 331 22 crack crack NOUN fis-4238 331 23 semiwidth semiwidth NOUN fis-4238 331 24   NOUN fis-4238 331 25   PROPN fis-4238 331 26 0 0 PUNCT fis-4238 331 27 ea ea NOUN fis-4238 331 28 at at ADP fis-4238 331 29 the the DET fis-4238 331 30 inner inner ADJ fis-4238 331 31 surface surface NOUN fis-4238 331 32 of of ADP fis-4238 331 33 the the DET fis-4238 331 34 element element NOUN fis-4238 331 35 , , PUNCT fis-4238 331 36 initial initial ADJ fis-4238 331 37 crack crack NOUN fis-4238 331 38 depth depth NOUN fis-4238 331 39   NOUN fis-4238 331 40 eb eb PROPN fis-4238 331 41 and and CCONJ fis-4238 331 42 , , PUNCT fis-4238 331 43 in in ADP fis-4238 331 44 terms term NOUN fis-4238 331 45 of of ADP fis-4238 331 46 material material NOUN fis-4238 331 47 , , PUNCT fis-4238 331 48 by by ADP fis-4238 331 49 its its PRON fis-4238 331 50 fracture fracture ADJ fis-4238 331 51 toughness toughness NOUN fis-4238 331 52   NOUN fis-4238 331 53   PUNCT fis-4238 331 54 c c NOUN fis-4238 331 55 e e X fis-4238 331 56 ik ik X fis-4238 331 57 , , PUNCT fis-4238 331 58 elasticity elasticity NOUN fis-4238 331 59 modulus modulus ADJ fis-4238 331 60   NOUN fis-4238 331 61 ee ee VERB fis-4238 331 62 , , PUNCT fis-4238 331 63 yield yield NOUN fis-4238 331 64 strength strength NOUN fis-4238 331 65   NOUN fis-4238 331 66 e e INTJ fis-4238 331 67 ys ys PROPN fis-4238 331 68 , , PUNCT fis-4238 332 1 ultimate ultimate ADJ fis-4238 332 2 strength strength NOUN fis-4238 332 3   NOUN fis-4238 332 4 e e PROPN fis-4238 332 5 us we PRON fis-4238 332 6 , , PUNCT fis-4238 332 7 intercept intercept VERB fis-4238 332 8 constant constant ADJ fis-4238 332 9   NOUN fis-4238 332 10 ec ec PROPN fis-4238 332 11 , , PUNCT fis-4238 332 12 and and CCONJ fis-4238 332 13 slope slope NOUN fis-4238 332 14   PROPN fis-4238 332 15 em em PROPN fis-4238 332 16 . . PUNCT fis-4238 333 1 moreover moreover ADV fis-4238 333 2 , , PUNCT fis-4238 333 3 it it PRON fis-4238 333 4 is be AUX fis-4238 333 5 important important ADJ fis-4238 333 6 to to PART fis-4238 333 7 emphasize emphasize VERB fis-4238 333 8 that that SCONJ fis-4238 333 9 the the DET fis-4238 333 10 only only ADJ fis-4238 333 11 two two NUM fis-4238 333 12 limit limit NOUN fis-4238 333 13 states state NOUN fis-4238 333 14 ( ( PUNCT fis-4238 333 15 crack crack VERB fis-4238 333 16 semi semi ADJ fis-4238 333 17 - - ADJ fis-4238 333 18 width width ADJ fis-4238 333 19 and and CCONJ fis-4238 333 20 stress stress NOUN fis-4238 333 21 intensity intensity NOUN fis-4238 333 22 factor factor NOUN fis-4238 333 23 ) ) PUNCT fis-4238 333 24 are be AUX fis-4238 333 25 related relate VERB fis-4238 333 26 to to ADP fis-4238 333 27 fatigue fatigue NOUN fis-4238 333 28 , , PUNCT fis-4238 333 29 being be AUX fis-4238 333 30 neglected neglect VERB fis-4238 333 31 possible possible ADJ fis-4238 333 32 serviceability serviceability NOUN fis-4238 333 33 requirements requirement NOUN fis-4238 333 34 such such ADJ fis-4238 333 35 as as ADP fis-4238 333 36 strain strain NOUN fis-4238 333 37 or or CCONJ fis-4238 333 38 displacement displacement NOUN fis-4238 333 39 . . PUNCT fis-4238 334 1 for for ADP fis-4238 334 2 simplification simplification NOUN fis-4238 334 3 of of ADP fis-4238 334 4 calculation calculation NOUN fis-4238 334 5 , , PUNCT fis-4238 334 6 body body NOUN fis-4238 334 7 forces force NOUN fis-4238 334 8 are be AUX fis-4238 334 9 also also ADV fis-4238 334 10 neglected neglect VERB fis-4238 334 11 . . PUNCT fis-4238 335 1 in in ADP fis-4238 335 2 fig fig NOUN fis-4238 335 3 . . PUNCT fis-4238 336 1 3 3 NUM fis-4238 336 2 , , PUNCT fis-4238 336 3 the the DET fis-4238 336 4 number number NOUN fis-4238 336 5 inscribed inscribe VERB fis-4238 336 6 in in ADP fis-4238 336 7 the the DET fis-4238 336 8 circle circle NOUN fis-4238 336 9 indicates indicate VERB fis-4238 336 10 the the DET fis-4238 336 11 structural structural ADJ fis-4238 336 12 element element NOUN fis-4238 336 13 ; ; PUNCT fis-4238 336 14 and and CCONJ fis-4238 336 15 the the DET fis-4238 336 16 numbers number NOUN fis-4238 336 17 adjacent adjacent ADJ fis-4238 336 18 to to ADP fis-4238 336 19 them they PRON fis-4238 336 20 represent represent VERB fis-4238 336 21 the the DET fis-4238 336 22 four four NUM fis-4238 336 23 nodes node NOUN fis-4238 336 24 . . PUNCT fis-4238 337 1 as as ADP fis-4238 337 2 a a DET fis-4238 337 3 2 2 NUM fis-4238 337 4 - - PUNCT fis-4238 337 5 d d NOUN fis-4238 337 6 truss truss NOUN fis-4238 337 7 problem problem NOUN fis-4238 337 8 , , PUNCT fis-4238 337 9 there there PRON fis-4238 337 10 are be VERB fis-4238 337 11 two two NUM fis-4238 337 12 possible possible ADJ fis-4238 337 13 displacements displacement NOUN fis-4238 337 14 at at ADP fis-4238 337 15 each each DET fis-4238 337 16 node node NOUN fis-4238 337 17 . . PUNCT fis-4238 338 1 however however ADV fis-4238 338 2 , , PUNCT fis-4238 338 3 only only ADV fis-4238 338 4 node node NOUN fis-4238 338 5 1 1 NUM fis-4238 338 6 is be AUX fis-4238 338 7 free free ADJ fis-4238 338 8 to to PART fis-4238 338 9 displace displace VERB fis-4238 338 10 in in ADP fis-4238 338 11 both both DET fis-4238 338 12 degrees degree NOUN fis-4238 338 13 of of ADP fis-4238 338 14 freedom freedom NOUN fis-4238 338 15 . . PUNCT fis-4238 339 1 angles angle NOUN fis-4238 339 2 32 32 VERB fis-4238 340 1 and and CCONJ fis-4238 340 2 31 31 VERB fis-4238 340 3 go go VERB fis-4238 340 4 from from ADP fis-4238 340 5 the the DET fis-4238 340 6 bar bar NOUN fis-4238 340 7 three three NUM fis-4238 340 8 to to ADP fis-4238 340 9 two two NUM fis-4238 340 10 and and CCONJ fis-4238 340 11 from from ADP fis-4238 340 12 the the DET fis-4238 340 13 bar bar NOUN fis-4238 340 14 three three NUM fis-4238 340 15 to to ADP fis-4238 340 16 one one NUM fis-4238 340 17 , , PUNCT fis-4238 340 18 respectively respectively ADV fis-4238 340 19 . . PUNCT fis-4238 341 1 the the DET fis-4238 341 2 origin origin NOUN fis-4238 341 3 of of ADP fis-4238 341 4 the the DET fis-4238 341 5 coordinate coordinate NOUN fis-4238 341 6 system system NOUN fis-4238 341 7 is be AUX fis-4238 341 8 coincident coincident ADJ fis-4238 341 9 with with ADP fis-4238 341 10 node node NOUN fis-4238 341 11 1 1 NUM fis-4238 341 12 . . PUNCT fis-4238 342 1 the the DET fis-4238 342 2 defect defect NOUN fis-4238 342 3 is be AUX fis-4238 342 4 modeled model VERB fis-4238 342 5 by by ADP fis-4238 342 6 a a DET fis-4238 342 7 circumferential circumferential ADJ fis-4238 342 8 surface surface NOUN fis-4238 342 9 crack crack NOUN fis-4238 342 10 at at ADP fis-4238 342 11 the the DET fis-4238 342 12 internal internal ADJ fis-4238 342 13 surface surface NOUN fis-4238 342 14 of of ADP fis-4238 342 15 each each DET fis-4238 342 16 structural structural ADJ fis-4238 342 17 pipe pipe NOUN fis-4238 342 18 ( ( PUNCT fis-4238 342 19 see see VERB fis-4238 342 20 fig fig NOUN fis-4238 342 21 . . PUNCT fis-4238 343 1 3 3 X fis-4238 343 2 ) ) PUNCT fis-4238 343 3 far far ADV fis-4238 343 4 enough enough ADV fis-4238 343 5 from from ADP fis-4238 343 6 their their PRON fis-4238 343 7 ends end NOUN fis-4238 343 8 , , PUNCT fis-4238 343 9 in in ADP fis-4238 343 10 order order NOUN fis-4238 343 11 to to PART fis-4238 343 12 avoid avoid VERB fis-4238 343 13 the the DET fis-4238 343 14 combination combination NOUN fis-4238 343 15 of of ADP fis-4238 343 16 effects effect NOUN fis-4238 343 17 from from ADP fis-4238 343 18 the the DET fis-4238 343 19 crack crack NOUN fis-4238 343 20 and and CCONJ fis-4238 343 21 the the DET fis-4238 343 22 holes hole NOUN fis-4238 343 23 used use VERB fis-4238 343 24 for for ADP fis-4238 343 25 pin pin NOUN fis-4238 343 26 joining join VERB fis-4238 343 27 . . PUNCT fis-4238 344 1 although although SCONJ fis-4238 344 2 this this DET fis-4238 344 3 type type NOUN fis-4238 344 4 of of ADP fis-4238 344 5 discrepancy discrepancy NOUN fis-4238 344 6 can can AUX fis-4238 344 7 be be AUX fis-4238 344 8 detected detect VERB fis-4238 344 9 , , PUNCT fis-4238 344 10 depending depend VERB fis-4238 344 11 on on ADP fis-4238 344 12 the the DET fis-4238 344 13 diameter diameter NOUN fis-4238 344 14 and and CCONJ fis-4238 344 15 the the DET fis-4238 344 16 length length NOUN fis-4238 344 17 of of ADP fis-4238 344 18 the the DET fis-4238 344 19 pipe pipe NOUN fis-4238 344 20 , , PUNCT fis-4238 344 21 the the DET fis-4238 344 22 repair repair NOUN fis-4238 344 23 may may AUX fis-4238 344 24 not not PART fis-4238 344 25 be be AUX fis-4238 344 26 feasible feasible ADJ fis-4238 344 27 by by ADP fis-4238 344 28 conventional conventional ADJ fis-4238 344 29 methods method NOUN fis-4238 344 30 . . PUNCT fis-4238 345 1 tab tab NOUN fis-4238 345 2 . . PUNCT fis-4238 345 3 1 1 NUM fis-4238 345 4 shows show VERB fis-4238 345 5 the the DET fis-4238 345 6 values value NOUN fis-4238 345 7 of of ADP fis-4238 345 8 the the DET fis-4238 345 9 deterministic deterministic ADJ fis-4238 345 10 parameters parameter NOUN fis-4238 345 11 considered consider VERB fis-4238 345 12 . . PUNCT fis-4238 346 1 in in ADP fis-4238 346 2 this this DET fis-4238 346 3 table table NOUN fis-4238 346 4 , , PUNCT fis-4238 346 5 the the DET fis-4238 346 6 data datum NOUN fis-4238 346 7 can can AUX fis-4238 346 8 be be AUX fis-4238 346 9 distinguished distinguish VERB fis-4238 346 10 by by ADP fis-4238 346 11 geometric geometric ADJ fis-4238 346 12 , , PUNCT fis-4238 346 13 loading loading NOUN fis-4238 346 14 ( ( PUNCT fis-4238 346 15 stress stress NOUN fis-4238 346 16 ratio ratio NOUN fis-4238 346 17 ) ) PUNCT fis-4238 346 18 , , PUNCT fis-4238 346 19 and and CCONJ fis-4238 346 20 material material NOUN fis-4238 346 21 branches branch NOUN fis-4238 346 22 . . PUNCT fis-4238 347 1 in in ADP fis-4238 347 2 the the DET fis-4238 347 3 branch branch NOUN fis-4238 347 4 of of ADP fis-4238 347 5 geometric geometric ADJ fis-4238 347 6 deterministic deterministic ADJ fis-4238 347 7 parameters parameter NOUN fis-4238 347 8 , , PUNCT fis-4238 347 9 b b PROPN fis-4238 347 10 was be AUX fis-4238 347 11 not not PART fis-4238 347 12 considered consider VERB fis-4238 347 13 as as ADP fis-4238 347 14 t t PROPN fis-4238 347 15 r. r. PROPN fis-4238 347 16 b. b. PROPN fis-4238 347 17 p. p. PROPN fis-4238 347 18 nonato nonato PROPN fis-4238 347 19 , , PUNCT fis-4238 347 20 frattura frattura PROPN fis-4238 347 21 ed ed PROPN fis-4238 347 22 integrità integrità PROPN fis-4238 347 23 strutturale strutturale PROPN fis-4238 347 24 , , PUNCT fis-4238 347 25 65 65 NUM fis-4238 347 26 ( ( PUNCT fis-4238 347 27 2023 2023 NUM fis-4238 347 28 ) ) PUNCT fis-4238 347 29 17 17 NUM fis-4238 347 30 - - SYM fis-4238 347 31 37 37 NUM fis-4238 347 32 ; ; PUNCT fis-4238 347 33 doi doi NOUN fis-4238 347 34 : : PUNCT fis-4238 347 35 10.3221 10.3221 NUM fis-4238 347 36 / / SYM fis-4238 347 37 igf igf PROPN fis-4238 347 38 - - NOUN fis-4238 347 39 esis.66.02 esis.66.02 PROPN fis-4238 347 40 27 27 NUM fis-4238 347 41 a a DET fis-4238 347 42 uiq uiq NOUN fis-4238 347 43 because because SCONJ fis-4238 347 44 the the DET fis-4238 347 45 intention intention NOUN fis-4238 347 46 of of ADP fis-4238 347 47 this this DET fis-4238 347 48 research research NOUN fis-4238 347 49 was be AUX fis-4238 347 50 to to PART fis-4238 347 51 isolate isolate VERB fis-4238 347 52 the the DET fis-4238 347 53 effect effect NOUN fis-4238 347 54 of of ADP fis-4238 347 55 the the DET fis-4238 347 56 uiq uiq PROPN fis-4238 347 57 0a 0a PROPN fis-4238 347 58 . . PUNCT fis-4238 348 1 in in ADP fis-4238 348 2 what what PRON fis-4238 348 3 refers refer VERB fis-4238 348 4 to to ADP fis-4238 348 5 material material NOUN fis-4238 348 6 properties property NOUN fis-4238 348 7 , , PUNCT fis-4238 348 8 the the DET fis-4238 348 9 parameters parameter NOUN fis-4238 348 10 ys ys VERB fis-4238 348 11 , , PUNCT fis-4238 348 12 us we PRON fis-4238 348 13 , , PUNCT fis-4238 348 14 and and CCONJ fis-4238 348 15 e e NOUN fis-4238 348 16 were be AUX fis-4238 348 17 not not PART fis-4238 348 18 assumed assume VERB fis-4238 348 19 as as ADP fis-4238 348 20 uiqs uiqs ADJ fis-4238 348 21 for for ADP fis-4238 348 22 reasons reason NOUN fis-4238 348 23 of of ADP fis-4238 348 24 simplification simplification NOUN fis-4238 348 25 of of ADP fis-4238 348 26 calculation calculation NOUN fis-4238 348 27 and and CCONJ fis-4238 348 28 analysis analysis NOUN fis-4238 348 29 feasibility feasibility NOUN fis-4238 348 30 , , PUNCT fis-4238 348 31 otherwise otherwise ADV fis-4238 348 32 they they PRON fis-4238 348 33 would would AUX fis-4238 348 34 impact impact VERB fis-4238 348 35 the the DET fis-4238 348 36 overall overall ADJ fis-4238 348 37 variance variance NOUN fis-4238 348 38 and and CCONJ fis-4238 348 39 turn turn VERB fis-4238 348 40 the the DET fis-4238 348 41 analysis analysis NOUN fis-4238 348 42 less less ADV fis-4238 348 43 feasible feasible ADJ fis-4238 348 44 . . PUNCT fis-4238 349 1 the the DET fis-4238 349 2 values value NOUN fis-4238 349 3 of of ADP fis-4238 349 4 c c PROPN fis-4238 349 5 , , PUNCT fis-4238 349 6 m m NUM fis-4238 349 7 , , PUNCT fis-4238 349 8   NOUN fis-4238 349 9 ys ys PROPN fis-4238 349 10 , , PUNCT fis-4238 349 11 us us PROPN fis-4238 349 12 , , PUNCT fis-4238 349 13 and and CCONJ fis-4238 349 14 r r NOUN fis-4238 349 15 are be AUX fis-4238 349 16 extracted extract VERB fis-4238 349 17 from from ADP fis-4238 349 18 [ [ X fis-4238 349 19 49 49 NUM fis-4238 349 20 ] ] PUNCT fis-4238 349 21 . . PUNCT fis-4238 350 1 elasticity elasticity NOUN fis-4238 350 2 modulus modulus NOUN fis-4238 350 3 e e NOUN fis-4238 350 4 is be AUX fis-4238 350 5 collected collect VERB fis-4238 350 6 from from ADP fis-4238 350 7 [ [ X fis-4238 350 8 50 50 NUM fis-4238 350 9 ] ] PUNCT fis-4238 350 10 . . PUNCT fis-4238 351 1 finally finally ADV fis-4238 351 2 , , PUNCT fis-4238 351 3 mode mode VERB fis-4238 351 4 i i PRON fis-4238 351 5 fracture fracture NOUN fis-4238 351 6 toughness toughness NOUN fis-4238 351 7 cik cik PROPN fis-4238 351 8 was be AUX fis-4238 351 9 taken take VERB fis-4238 351 10 from from ADP fis-4238 351 11 [ [ X fis-4238 351 12 51 51 NUM fis-4238 351 13 ] ] PUNCT fis-4238 351 14 . . PUNCT fis-4238 352 1 figure figure VERB fis-4238 352 2 3 3 NUM fis-4238 352 3 : : SYM fis-4238 352 4 2 2 NUM fis-4238 352 5 - - PUNCT fis-4238 352 6 d d ADJ fis-4238 352 7 tubular tubular ADJ fis-4238 352 8 truss truss NOUN fis-4238 352 9 system system NOUN fis-4238 352 10 with with ADP fis-4238 352 11 two two NUM fis-4238 352 12 concentrated concentrated ADJ fis-4238 352 13 loads load NOUN fis-4238 352 14 showing show VERB fis-4238 352 15 the the DET fis-4238 352 16 nomenclature nomenclature NOUN fis-4238 352 17 of of ADP fis-4238 352 18 the the DET fis-4238 352 19 geometrical geometrical ADJ fis-4238 352 20 parameters parameter NOUN fis-4238 352 21 . . PUNCT fis-4238 353 1 deterministic deterministic ADJ fis-4238 353 2 parameter parameter NOUN fis-4238 353 3 value value NOUN fis-4238 353 4 31 31 X fis-4238 353 5   PROPN fis-4238 353 6 / / SYM fis-4238 353 7 2 2 NUM fis-4238 353 8 32 32 NOUN fis-4238 353 9   PROPN fis-4238 353 10 / / SYM fis-4238 353 11 4 4 NUM fis-4238 353 12 fa fa NOUN fis-4238 353 13 7.5 7.5 NUM fis-4238 353 14     SPACE fis-4238 353 15 mm mm PROPN fis-4238 353 16 b b PROPN fis-4238 353 17 ( ( PUNCT fis-4238 353 18 see see VERB fis-4238 353 19 fig fig NOUN fis-4238 353 20 . . PUNCT fis-4238 354 1 1 1 NUM fis-4238 354 2 ) ) PUNCT fis-4238 354 3 2.5 2.5 NUM fis-4238 354 4     SPACE fis-4238 354 5 mm mm PROPN fis-4238 354 6   NOUN fis-4238 354 7   PROPN fis-4238 354 8   NOUN fis-4238 354 9   PUNCT fis-4238 354 10   NOUN fis-4238 354 11   NOUN fis-4238 355 1 1 1 NUM fis-4238 355 2 2 2 NUM fis-4238 355 3 3l 3l NUM fis-4238 355 4 l l NOUN fis-4238 355 5 l l NOUN fis-4238 355 6 3000 3000 NUM fis-4238 355 7     SPACE fis-4238 355 8 mm mm NOUN fis-4238 355 9 r r NOUN fis-4238 355 10 0.05 0.05 NUM fis-4238 355 11 ys ys NOUN fis-4238 355 12 250 250 NUM fis-4238 355 13     SPACE fis-4238 355 14 mpa mpa PROPN fis-4238 355 15 us we PRON fis-4238 355 16 400 400 NUM fis-4238 355 17     SPACE fis-4238 355 18 mpa mpa NOUN fis-4238 355 19 e e NOUN fis-4238 355 20 200 200 NUM fis-4238 355 21     SPACE fis-4238 355 22 gpa gpa PROPN fis-4238 355 23 table table NOUN fis-4238 355 24 1 1 NUM fis-4238 355 25 : : PUNCT fis-4238 355 26 values value NOUN fis-4238 355 27 of of ADP fis-4238 355 28 deterministic deterministic ADJ fis-4238 355 29 parameters parameter NOUN fis-4238 355 30 for for ADP fis-4238 355 31 the the DET fis-4238 355 32 planar planar ADJ fis-4238 355 33 truss truss NOUN fis-4238 355 34 example example NOUN fis-4238 355 35 . . PUNCT fis-4238 356 1 tab tab NOUN fis-4238 356 2 . . PUNCT fis-4238 357 1 2 2 NUM fis-4238 357 2 aggregates aggregate NOUN fis-4238 357 3 all all DET fis-4238 357 4 the the DET fis-4238 357 5 available available ADJ fis-4238 357 6 information information NOUN fis-4238 357 7 about about ADP fis-4238 357 8 the the DET fis-4238 357 9 uiqs uiqs ADJ fis-4238 357 10 , , PUNCT fis-4238 357 11 the the DET fis-4238 357 12 corresponding corresponding ADJ fis-4238 357 13 srqs srq NOUN fis-4238 357 14 , , PUNCT fis-4238 357 15 their their PRON fis-4238 357 16 relation relation NOUN fis-4238 357 17 level level NOUN fis-4238 357 18 , , PUNCT fis-4238 357 19 range range NOUN fis-4238 357 20 of of ADP fis-4238 357 21 each each DET fis-4238 357 22 uiq uiq ADJ fis-4238 357 23 , , PUNCT fis-4238 357 24 and and CCONJ fis-4238 357 25 its its PRON fis-4238 357 26 expected expect VERB fis-4238 357 27 value value NOUN fis-4238 357 28 . . PUNCT fis-4238 358 1 for for ADP fis-4238 358 2 example example NOUN fis-4238 358 3 , , PUNCT fis-4238 358 4 the the DET fis-4238 358 5 uiq uiq PROPN fis-4238 358 6 0a 0a PROPN fis-4238 358 7 , , PUNCT fis-4238 358 8 which which PRON fis-4238 358 9 has have VERB fis-4238 358 10 a a DET fis-4238 358 11 range range NOUN fis-4238 358 12   NOUN fis-4238 358 13 2.4 2.4 NOUN fis-4238 358 14 , , PUNCT fis-4238 358 15     SPACE fis-4238 358 16 2.7 2.7 NUM fis-4238 358 17     SPACE fis-4238 358 18 mm mm PROPN fis-4238 358 19 and and CCONJ fis-4238 358 20 an an DET fis-4238 358 21 expected expect VERB fis-4238 358 22 value value NOUN fis-4238 358 23 of of ADP fis-4238 358 24 0 0 PROPN fis-4238 358 25 2.5 2.5 NUM fis-4238 358 26     SPACE fis-4238 358 27 a a DET fis-4238 358 28 mm mm PROPN fis-4238 358 29 , , PUNCT fis-4238 358 30 is be AUX fis-4238 358 31 applied apply VERB fis-4238 358 32 to to PART fis-4238 358 33 obtain obtain VERB fis-4238 358 34 the the DET fis-4238 358 35 srqs srqs PROPN fis-4238 358 36 y y PROPN fis-4238 358 37 and and CCONJ fis-4238 358 38 rk rk PROPN fis-4238 358 39 , , PUNCT fis-4238 358 40 both both CCONJ fis-4238 358 41 at at ADP fis-4238 358 42 first first ADJ fis-4238 358 43 level level NOUN fis-4238 358 44 . . PUNCT fis-4238 359 1 it it PRON fis-4238 359 2 is be AUX fis-4238 359 3 assumed assume VERB fis-4238 359 4 that that SCONJ fis-4238 359 5 all all DET fis-4238 359 6 elements element NOUN fis-4238 359 7 have have VERB fis-4238 359 8 the the DET fis-4238 359 9 same same ADJ fis-4238 359 10 crack crack NOUN fis-4238 359 11 dimensions dimension NOUN fis-4238 359 12 and and CCONJ fis-4238 359 13 localization localization NOUN fis-4238 359 14 , , PUNCT fis-4238 359 15 and and CCONJ fis-4238 359 16 are be AUX fis-4238 359 17 constituted constitute VERB fis-4238 359 18 by by ADP fis-4238 359 19 the the DET fis-4238 359 20 same same ADJ fis-4238 359 21 material material NOUN fis-4238 359 22 . . PUNCT fis-4238 360 1 although although SCONJ fis-4238 360 2 there there PRON fis-4238 360 3 is be VERB fis-4238 360 4 a a DET fis-4238 360 5 multi multi ADJ fis-4238 360 6 - - ADJ fis-4238 360 7 level level ADJ fis-4238 360 8 calculation calculation NOUN fis-4238 360 9 framework framework NOUN fis-4238 360 10 , , PUNCT fis-4238 360 11 the the DET fis-4238 360 12 focus focus NOUN fis-4238 360 13 is be AUX fis-4238 360 14 established establish VERB fis-4238 360 15 on on ADP fis-4238 360 16 the the DET fis-4238 360 17 srq srq NOUN fis-4238 360 18 n n PROPN fis-4238 360 19 ( ( PUNCT fis-4238 360 20 4th 4th ADJ fis-4238 360 21 . . PUNCT fis-4238 360 22 level level NOUN fis-4238 360 23 ) ) PUNCT fis-4238 360 24 in in ADP fis-4238 360 25 terms term NOUN fis-4238 360 26 of of ADP fis-4238 360 27 main main ADJ fis-4238 360 28 results result NOUN fis-4238 360 29 presented present VERB fis-4238 360 30 . . PUNCT fis-4238 361 1 r. r. PROPN fis-4238 361 2 b. b. PROPN fis-4238 361 3 p. p. PROPN fis-4238 361 4 nonato nonato PROPN fis-4238 361 5 , , PUNCT fis-4238 361 6 frattura frattura PROPN fis-4238 361 7 ed ed PROPN fis-4238 361 8 integrità integrità PROPN fis-4238 361 9 strutturale strutturale PROPN fis-4238 361 10 , , PUNCT fis-4238 361 11 65 65 NUM fis-4238 361 12 ( ( PUNCT fis-4238 361 13 2023 2023 NUM fis-4238 361 14 ) ) PUNCT fis-4238 361 15 17 17 NUM fis-4238 361 16 - - SYM fis-4238 361 17 37 37 NUM fis-4238 361 18 ; ; PUNCT fis-4238 361 19 doi doi NOUN fis-4238 361 20 : : PUNCT fis-4238 361 21 10.3221 10.3221 NUM fis-4238 361 22 / / SYM fis-4238 361 23 igf igf PROPN fis-4238 361 24 - - ADJ fis-4238 361 25 esis.66.02 esis.66.02 PROPN fis-4238 361 26 28 28 NUM fis-4238 361 27 uiq uiq ADJ fis-4238 361 28 srq srq PROPN fis-4238 361 29 level level NOUN fis-4238 361 30 expected expect VERB fis-4238 361 31 value value NOUN fis-4238 361 32 of of ADP fis-4238 361 33 uiq uiq ADJ fis-4238 361 34 range range NOUN fis-4238 361 35 of of ADP fis-4238 361 36 uiq uiq ADJ fis-4238 361 37 1x 1x PROPN fis-4238 361 38 p p NOUN fis-4238 362 1 rs rs NOUN fis-4238 362 2 1 1 NUM fis-4238 362 3   NUM fis-4238 362 4   NOUN fis-4238 362 5 1 1 NUM fis-4238 362 6 200000 200000 NUM fis-4238 362 7     SPACE fis-4238 362 8 x x PUNCT fis-4238 363 1 p p NOUN fis-4238 363 2 n n NUM fis-4238 363 3   ADJ fis-4238 363 4   NOUN fis-4238 363 5   NOUN fis-4238 363 6   NUM fis-4238 363 7   NOUN fis-4238 363 8   NOUN fis-4238 363 9 1 1 PROPN fis-4238 363 10 1 1 NUM fis-4238 363 11 , , PUNCT fis-4238 363 12 205000 205000 NUM fis-4238 363 13 , , PUNCT fis-4238 363 14     SPACE fis-4238 363 15 197000 197000 NUM fis-4238 363 16 x x SYM fis-4238 363 17 x x PUNCT fis-4238 364 1 lb lb X fis-4238 364 2 ubp ubp ADJ fis-4238 364 3 p p X fis-4238 364 4 n n PROPN fis-4238 364 5 1y 1y NOUN fis-4238 364 6 p p NOUN fis-4238 364 7 rs rs NOUN fis-4238 364 8 1 1 NUM fis-4238 364 9   NUM fis-4238 364 10   NOUN fis-4238 364 11 1 1 NUM fis-4238 364 12 400000 400000 NUM fis-4238 364 13     SPACE fis-4238 364 14 y y PROPN fis-4238 364 15 p p PROPN fis-4238 364 16 n n CCONJ fis-4238 364 17   VERB fis-4238 364 18   NOUN fis-4238 364 19   NOUN fis-4238 364 20   NUM fis-4238 364 21   NOUN fis-4238 364 22   NOUN fis-4238 364 23 1 1 PROPN fis-4238 364 24 1 1 NUM fis-4238 364 25 , , PUNCT fis-4238 364 26 410000 410000 NUM fis-4238 364 27 , , PUNCT fis-4238 364 28     SPACE fis-4238 364 29 394000 394000 NUM fis-4238 364 30 y y NOUN fis-4238 364 31 y y PROPN fis-4238 364 32 lb lb ADV fis-4238 364 33 ubp ubp PROPN fis-4238 364 34 p p X fis-4238 364 35 n n PROPN fis-4238 364 36 d d NOUN fis-4238 364 37 , , PUNCT fis-4238 364 38     SPACE fis-4238 364 39 rs rs PROPN fis-4238 364 40 y y PROPN fis-4238 364 41 1 1 NUM fis-4238 364 42 , , PUNCT fis-4238 364 43 1 1 NUM fis-4238 364 44   ADP fis-4238 364 45 273 273 NUM fis-4238 364 46     SPACE fis-4238 364 47 d d PROPN fis-4238 364 48 mm mm PROPN fis-4238 364 49   PROPN fis-4238 364 50   NUM fis-4238 364 51   NOUN fis-4238 364 52   PROPN fis-4238 364 53   PROPN fis-4238 364 54 , , PUNCT fis-4238 364 55     SPACE fis-4238 364 56 372.318 372.318 NUM fis-4238 364 57 , , PUNCT fis-4238 364 58     SPACE fis-4238 364 59 274.365 274.365 NUM fis-4238 364 60 lb lb DET fis-4238 364 61 ubd ubd PROPN fis-4238 364 62 d d PROPN fis-4238 364 63 mm mm PROPN fis-4238 364 64 t t PROPN fis-4238 364 65 , , PUNCT fis-4238 364 66     SPACE fis-4238 364 67 rs rs PROPN fis-4238 364 68 y y PROPN fis-4238 364 69 1 1 NUM fis-4238 364 70 , , PUNCT fis-4238 364 71 1 1 NUM fis-4238 364 72   ADP fis-4238 364 73 12.5 12.5 NUM fis-4238 364 74     SPACE fis-4238 364 75 t t PROPN fis-4238 364 76 mm mm PROPN fis-4238 364 77   PROPN fis-4238 364 78   NUM fis-4238 364 79   NOUN fis-4238 364 80   PROPN fis-4238 364 81   PROPN fis-4238 364 82 , , PUNCT fis-4238 364 83     SPACE fis-4238 364 84 12.3 12.3 NUM fis-4238 364 85 , , PUNCT fis-4238 364 86     SPACE fis-4238 364 87 12.9 12.9 NUM fis-4238 364 88 lb lb NUM fis-4238 364 89 ubt ubt PROPN fis-4238 364 90 t t PROPN fis-4238 364 91 mm mm PROPN fis-4238 364 92 0a 0a PROPN fis-4238 364 93 , , PUNCT fis-4238 364 94 ry ry PROPN fis-4238 364 95 k k PROPN fis-4238 364 96 1 1 NUM fis-4238 364 97 , , PUNCT fis-4238 364 98 1 1 NUM fis-4238 364 99 0 0 NUM fis-4238 364 100 2.5 2.5 NUM fis-4238 364 101     SPACE fis-4238 364 102 a a DET fis-4238 364 103 mm mm PROPN fis-4238 364 104   PROPN fis-4238 364 105   NUM fis-4238 364 106   NOUN fis-4238 364 107   PROPN fis-4238 364 108   PROPN fis-4238 364 109 , , PUNCT fis-4238 364 110     SPACE fis-4238 364 111 2.4 2.4 NUM fis-4238 364 112 , , PUNCT fis-4238 364 113     SPACE fis-4238 364 114 2.7 2.7 NUM fis-4238 364 115 lb lb NOUN fis-4238 364 116 uba uba PROPN fis-4238 364 117 a a DET fis-4238 364 118 mm mm INTJ fis-4238 364 119 c c PROPN fis-4238 364 120 /da /da PUNCT fis-4238 365 1 dn dn NOUN fis-4238 365 2 1 1 NUM fis-4238 365 3   ADJ fis-4238 365 4   NOUN fis-4238 365 5 31.897 31.897 NUM fis-4238 365 6     SPACE fis-4238 365 7 10c 10c NOUN fis-4238 365 8   ADJ fis-4238 365 9   NOUN fis-4238 365 10   NOUN fis-4238 365 11   NOUN fis-4238 365 12   NUM fis-4238 365 13   ADJ fis-4238 365 14   PROPN fis-4238 365 15 13 13 NUM fis-4238 365 16 , , PUNCT fis-4238 365 17     SPACE fis-4238 365 18 1.892 1.892 NUM fis-4238 365 19 , , PUNCT fis-4238 365 20     SPACE fis-4238 365 21 1.906 1.906 NUM fis-4238 365 22 10 10 NUM fis-4238 365 23 lb lb NUM fis-4238 365 24 ubc ubc PROPN fis-4238 365 25 c c PROPN fis-4238 365 26 m m VERB fis-4238 365 27 /da /da PUNCT fis-4238 366 1 dn dn ADJ fis-4238 366 2 1 1 NUM fis-4238 366 3   NUM fis-4238 366 4 3.0000 3.0000 NUM fis-4238 366 5 m m NOUN fis-4238 366 6   ADJ fis-4238 366 7   NUM fis-4238 366 8   NOUN fis-4238 366 9   PROPN fis-4238 366 10   PROPN fis-4238 366 11 , , PUNCT fis-4238 366 12     SPACE fis-4238 366 13 2.9925 2.9925 NUM fis-4238 366 14 , , PUNCT fis-4238 366 15     SPACE fis-4238 366 16 3.0150 3.0150 NUM fis-4238 366 17 lb lb PRON fis-4238 366 18 ubm ubm PROPN fis-4238 366 19 m m PROPN fis-4238 366 20 cik cik PROPN fis-4238 366 21 k k PROPN fis-4238 366 22 1 1 NUM fis-4238 366 23   NUM fis-4238 366 24 1581.139 1581.139 NUM fis-4238 366 25         SPACE fis-4238 366 26 cik cik PROPN fis-4238 366 27 mpa mpa PROPN fis-4238 366 28 mm mm PROPN fis-4238 366 29   PROPN fis-4238 366 30   NUM fis-4238 366 31   NOUN fis-4238 366 32   PROPN fis-4238 366 33   PROPN fis-4238 366 34 , , PUNCT fis-4238 366 35 1500.000 1500.000 NUM fis-4238 366 36 , , PUNCT fis-4238 366 37     SPACE fis-4238 366 38 1694.665 1694.665 NUM fis-4238 366 39     SPACE fis-4238 366 40 c c NOUN fis-4238 366 41 c c NOUN fis-4238 367 1 lb lb INTJ fis-4238 367 2 ub ub INTJ fis-4238 368 1 i i PRON fis-4238 368 2 ik ik PROPN fis-4238 368 3 k k PROPN fis-4238 368 4 mpa mpa PROPN fis-4238 368 5 mm mm PROPN fis-4238 368 6 0n 0n PROPN fis-4238 368 7 n n CCONJ fis-4238 368 8 1 1 NUM fis-4238 368 9   NOUN fis-4238 368 10 0 0 NUM fis-4238 368 11 500000 500000 NUM fis-4238 368 12     SPACE fis-4238 368 13 n n PROPN fis-4238 368 14 cycles cycle NOUN fis-4238 368 15   ADJ fis-4238 368 16   NUM fis-4238 368 17   NOUN fis-4238 368 18   NOUN fis-4238 368 19 0 0 PROPN fis-4238 368 20 0 0 NUM fis-4238 368 21 , , PUNCT fis-4238 368 22     SPACE fis-4238 368 23 495000,510000 495000,510000 NOUN fis-4238 368 24 lb lb NUM fis-4238 368 25 ubn ubn NOUN fis-4238 369 1 n n PROPN fis-4238 369 2 cycles cycle NOUN fis-4238 369 3 y y PROPN fis-4238 369 4 rk rk NOUN fis-4238 369 5 2 2 NUM fis-4238 369 6 not not PART fis-4238 369 7 applicable applicable ADJ fis-4238 369 8 not not PART fis-4238 369 9 applicable applicable ADJ fis-4238 369 10 rs rs ADJ fis-4238 369 11 rk rk NOUN fis-4238 369 12 2 2 NUM fis-4238 369 13 not not PART fis-4238 369 14 applicable applicable ADJ fis-4238 369 15 not not PART fis-4238 369 16 applicable applicable ADJ fis-4238 369 17 rk rk NOUN fis-4238 369 18 /da /da PUNCT fis-4238 370 1 dn dn ADP fis-4238 370 2 3 3 NUM fis-4238 370 3 not not PART fis-4238 370 4 applicable applicable ADJ fis-4238 370 5 not not PART fis-4238 370 6 applicable applicable ADJ fis-4238 370 7 /da /da PUNCT fis-4238 371 1 dn dn NOUN fis-4238 371 2 n n ADV fis-4238 371 3 4 4 NUM fis-4238 371 4 not not PART fis-4238 371 5 applicable applicable ADJ fis-4238 371 6 not not PART fis-4238 371 7 applicable applicable ADJ fis-4238 371 8 table table NOUN fis-4238 371 9 2 2 NUM fis-4238 371 10 : : PUNCT fis-4238 371 11 available available ADJ fis-4238 371 12 information information NOUN fis-4238 371 13 about about ADP fis-4238 371 14 the the DET fis-4238 371 15 uiqs uiqs ADJ fis-4238 371 16 and and CCONJ fis-4238 371 17 their their PRON fis-4238 371 18 relation relation NOUN fis-4238 371 19 level level NOUN fis-4238 371 20 with with ADP fis-4238 371 21 the the DET fis-4238 371 22 srqs srqs PROPN fis-4238 371 23 for for ADP fis-4238 371 24 the the DET fis-4238 371 25 planar planar ADJ fis-4238 371 26 truss truss NOUN fis-4238 371 27 example example NOUN fis-4238 371 28 . . PUNCT fis-4238 372 1 strategy strategy NOUN fis-4238 372 2 to to PART fis-4238 372 3 apply apply VERB fis-4238 372 4 the the DET fis-4238 372 5 uqfw uqfw NOUN fis-4238 372 6 to to ADP fis-4238 372 7 the the DET fis-4238 372 8 problem problem NOUN fis-4238 372 9 described describe VERB fis-4238 372 10 the the DET fis-4238 372 11 overall overall ADJ fis-4238 372 12 strategy strategy NOUN fis-4238 372 13 can can AUX fis-4238 372 14 be be AUX fis-4238 372 15 seen see VERB fis-4238 372 16 in in ADP fis-4238 372 17 fig fig NOUN fis-4238 372 18 . . PUNCT fis-4238 373 1 4 4 X fis-4238 373 2 . . X fis-4238 373 3 first first ADV fis-4238 373 4 , , PUNCT fis-4238 373 5 the the DET fis-4238 373 6 sources source NOUN fis-4238 373 7 of of ADP fis-4238 373 8 uncertainty uncertainty NOUN fis-4238 373 9 are be AUX fis-4238 373 10 selected select VERB fis-4238 373 11 and and CCONJ fis-4238 373 12 the the DET fis-4238 373 13 least least ADV fis-4238 373 14 unbiased unbiased ADJ fis-4238 373 15 probabilistic probabilistic ADJ fis-4238 373 16 model model NOUN fis-4238 373 17 is be AUX fis-4238 373 18 assigned assign VERB fis-4238 373 19 to to ADP fis-4238 373 20 the the DET fis-4238 373 21 uiqs uiqs NOUN fis-4238 373 22 . . PUNCT fis-4238 374 1 using use VERB fis-4238 374 2 this this DET fis-4238 374 3 model model NOUN fis-4238 374 4 , , PUNCT fis-4238 374 5 uiqs uiqs ADJ fis-4238 374 6 values value NOUN fis-4238 374 7 are be AUX fis-4238 374 8 estimated estimate VERB fis-4238 374 9 and and CCONJ fis-4238 374 10 uncertainty uncertainty NOUN fis-4238 374 11 in in ADP fis-4238 374 12 the the DET fis-4238 374 13 first first ADJ fis-4238 374 14 model model NOUN fis-4238 374 15 is be AUX fis-4238 374 16 propagated propagate VERB fis-4238 374 17 via via ADP fis-4238 374 18 lhs lhs PROPN fis-4238 374 19 technique technique NOUN fis-4238 374 20 . . PUNCT fis-4238 375 1 enough enough ADJ fis-4238 375 2 rounds round NOUN fis-4238 375 3 of of ADP fis-4238 375 4 the the DET fis-4238 375 5 multi multi ADJ fis-4238 375 6 - - ADJ fis-4238 375 7 level level ADJ fis-4238 375 8 uncertain uncertain ADJ fis-4238 375 9 calculation calculation NOUN fis-4238 375 10 scheme scheme NOUN fis-4238 375 11 are be AUX fis-4238 375 12 performed perform VERB fis-4238 375 13 in in ADP fis-4238 375 14 this this DET fis-4238 375 15 step step NOUN fis-4238 375 16 ( ( PUNCT fis-4238 375 17 fig fig NOUN fis-4238 375 18 . . PUNCT fis-4238 376 1 2 2 NUM fis-4238 376 2 ) ) PUNCT fis-4238 376 3 . . PUNCT fis-4238 377 1 the the DET fis-4238 377 2 quantified quantify VERB fis-4238 377 3 srqs srqs PROPN fis-4238 377 4 along along ADP fis-4238 377 5 with with ADP fis-4238 377 6 the the DET fis-4238 377 7 uiqs uiqs ADJ fis-4238 377 8 take take VERB fis-4238 377 9 part part NOUN fis-4238 377 10 in in ADP fis-4238 377 11 the the DET fis-4238 377 12 elementary elementary ADJ fis-4238 377 13 effects effect NOUN fis-4238 377 14 method method VERB fis-4238 377 15 to to PART fis-4238 377 16 eliminate eliminate VERB fis-4238 377 17 the the DET fis-4238 377 18 four four NUM fis-4238 377 19 least least ADJ fis-4238 377 20 influencing influence VERB fis-4238 377 21 of of ADP fis-4238 377 22 the the DET fis-4238 377 23 eight eight NUM fis-4238 377 24 uiqs uiqs ADJ fis-4238 377 25 . . PUNCT fis-4238 378 1 thus thus ADV fis-4238 378 2 , , PUNCT fis-4238 378 3 the the DET fis-4238 378 4 remaining remain VERB fis-4238 378 5 uiqs uiqs ADJ fis-4238 378 6 are be AUX fis-4238 378 7 considered consider VERB fis-4238 378 8 throughout throughout ADP fis-4238 378 9 a a DET fis-4238 378 10 second second ADJ fis-4238 378 11 model model NOUN fis-4238 378 12 also also ADV fis-4238 378 13 via via ADP fis-4238 378 14 lhs lhs PROPN fis-4238 378 15 . . PUNCT fis-4238 379 1 as as SCONJ fis-4238 379 2 in in ADP fis-4238 379 3 the the DET fis-4238 379 4 first first ADJ fis-4238 379 5 model model NOUN fis-4238 379 6 , , PUNCT fis-4238 379 7 this this DET fis-4238 379 8 step step NOUN fis-4238 379 9 also also ADV fis-4238 379 10 applies apply VERB fis-4238 379 11 the the DET fis-4238 379 12 multi multi ADJ fis-4238 379 13 - - ADJ fis-4238 379 14 level level ADJ fis-4238 379 15 uncertain uncertain ADJ fis-4238 379 16 calculation calculation NOUN fis-4238 379 17 framework framework NOUN fis-4238 379 18 shown show VERB fis-4238 379 19 in in ADP fis-4238 379 20 fig fig NOUN fis-4238 379 21 . . PUNCT fis-4238 380 1 2 2 NUM fis-4238 380 2 . . X fis-4238 380 3 after after ADP fis-4238 380 4 this this PRON fis-4238 380 5 , , PUNCT fis-4238 380 6 the the DET fis-4238 380 7 srqs srq NOUN fis-4238 380 8 are be AUX fis-4238 380 9 once once ADV fis-4238 380 10 again again ADV fis-4238 380 11 quantified quantify VERB fis-4238 380 12 . . PUNCT fis-4238 381 1 a a DET fis-4238 381 2 second second ADJ fis-4238 381 3 sa sa NOUN fis-4238 381 4 is be AUX fis-4238 381 5 performed perform VERB fis-4238 381 6 to to PART fis-4238 381 7 obtain obtain VERB fis-4238 381 8 the the DET fis-4238 381 9 first first ADJ fis-4238 381 10 - - PUNCT fis-4238 381 11 order order NOUN fis-4238 381 12 sa sa NOUN fis-4238 381 13 indices index NOUN fis-4238 381 14 , , PUNCT fis-4238 381 15 which which PRON fis-4238 381 16 aims aim VERB fis-4238 381 17 at at ADP fis-4238 381 18 finding find VERB fis-4238 381 19 the the DET fis-4238 381 20 rank rank NOUN fis-4238 381 21 of of ADP fis-4238 381 22 the the DET fis-4238 381 23 most most ADV fis-4238 381 24 influencing influence VERB fis-4238 381 25 uiqs uiqs ADJ fis-4238 381 26 related relate VERB fis-4238 381 27 to to ADP fis-4238 381 28 the the DET fis-4238 381 29 srqs srq NOUN fis-4238 381 30 . . PUNCT fis-4238 382 1 the the DET fis-4238 382 2 design design NOUN fis-4238 382 3 boundaries boundary NOUN fis-4238 382 4 are be AUX fis-4238 382 5 then then ADV fis-4238 382 6 built build VERB fis-4238 382 7 and and CCONJ fis-4238 382 8 the the DET fis-4238 382 9 information information NOUN fis-4238 382 10 is be AUX fis-4238 382 11 recorded record VERB fis-4238 382 12 for for ADP fis-4238 382 13 further further ADJ fis-4238 382 14 analyses analysis NOUN fis-4238 382 15 . . PUNCT fis-4238 383 1 except except SCONJ fis-4238 383 2 for for ADP fis-4238 383 3 the the DET fis-4238 383 4 first first ADJ fis-4238 383 5 , , PUNCT fis-4238 383 6 all all DET fis-4238 383 7 the the DET fis-4238 383 8 stages stage NOUN fis-4238 383 9 in in ADP fis-4238 383 10 this this DET fis-4238 383 11 flowchart flowchart NOUN fis-4238 383 12 are be AUX fis-4238 383 13 executed execute VERB fis-4238 383 14 via via ADP fis-4238 383 15 code code NOUN fis-4238 383 16 developed develop VERB fis-4238 383 17 within within ADP fis-4238 383 18 matlab matlab PROPN fis-4238 383 19 ® ® NOUN fis-4238 383 20 script script NOUN fis-4238 383 21 . . PUNCT fis-4238 384 1 figure figure VERB fis-4238 384 2 4 4 NUM fis-4238 384 3 : : PUNCT fis-4238 384 4 flowchart flowchart NOUN fis-4238 384 5 representing represent VERB fis-4238 384 6 the the DET fis-4238 384 7 uncertainty uncertainty NOUN fis-4238 384 8 quantification quantification NOUN fis-4238 384 9 framework framework NOUN fis-4238 384 10 . . PUNCT fis-4238 385 1 r. r. PROPN fis-4238 385 2 b. b. PROPN fis-4238 385 3 p. p. PROPN fis-4238 385 4 nonato nonato PROPN fis-4238 385 5 , , PUNCT fis-4238 385 6 frattura frattura PROPN fis-4238 385 7 ed ed PROPN fis-4238 385 8 integrità integrità PROPN fis-4238 385 9 strutturale strutturale PROPN fis-4238 385 10 , , PUNCT fis-4238 385 11 65 65 NUM fis-4238 385 12 ( ( PUNCT fis-4238 385 13 2023 2023 NUM fis-4238 385 14 ) ) PUNCT fis-4238 385 15 17 17 NUM fis-4238 385 16 - - SYM fis-4238 385 17 37 37 NUM fis-4238 385 18 ; ; PUNCT fis-4238 385 19 doi doi NOUN fis-4238 385 20 : : PUNCT fis-4238 385 21 10.3221 10.3221 NUM fis-4238 385 22 / / SYM fis-4238 385 23 igf igf PROPN fis-4238 385 24 - - ADJ fis-4238 385 25 esis.66.02 esis.66.02 PROPN fis-4238 385 26 29 29 NUM fis-4238 385 27 results result NOUN fis-4238 385 28 and and CCONJ fis-4238 385 29 discussion discussion VERB fis-4238 385 30 his his PRON fis-4238 385 31 section section NOUN fis-4238 385 32 presents present VERB fis-4238 385 33 the the DET fis-4238 385 34 calculation calculation NOUN fis-4238 385 35 results result VERB fis-4238 385 36 for for ADP fis-4238 385 37 the the DET fis-4238 385 38 problem problem NOUN fis-4238 385 39 described describe VERB fis-4238 385 40 , , PUNCT fis-4238 385 41 including include VERB fis-4238 385 42 uiqs uiqs PROPN fis-4238 385 43 , , PUNCT fis-4238 385 44 srqs srqs PROPN fis-4238 385 45 and and CCONJ fis-4238 385 46 the the DET fis-4238 385 47 first first ADJ fis-4238 385 48 level level NOUN fis-4238 385 49 of of ADP fis-4238 385 50 sa sa NOUN fis-4238 385 51 for for ADP fis-4238 385 52 the the DET fis-4238 385 53 first first ADJ fis-4238 385 54 model model NOUN fis-4238 385 55 , , PUNCT fis-4238 385 56 with with ADP fis-4238 385 57 eight eight NUM fis-4238 385 58 uiqs uiqs ADJ fis-4238 385 59 . . PUNCT fis-4238 386 1 subsequently subsequently ADV fis-4238 386 2 , , PUNCT fis-4238 386 3 these these DET fis-4238 386 4 results result NOUN fis-4238 386 5 are be AUX fis-4238 386 6 shown show VERB fis-4238 386 7 for for ADP fis-4238 386 8 the the DET fis-4238 386 9 second second ADJ fis-4238 386 10 model model NOUN fis-4238 386 11 ( ( PUNCT fis-4238 386 12 with with ADP fis-4238 386 13 just just ADV fis-4238 386 14 four four NUM fis-4238 386 15 uiqs uiqs ADJ fis-4238 386 16 ) ) PUNCT fis-4238 386 17 , , PUNCT fis-4238 386 18 as as ADV fis-4238 386 19 well well ADV fis-4238 386 20 as as ADP fis-4238 386 21 fcgbs fcgbs NOUN fis-4238 386 22 and and CCONJ fis-4238 386 23 fcsbs fcsbs NOUN fis-4238 386 24 . . PUNCT fis-4238 387 1 results result NOUN fis-4238 387 2 for for ADP fis-4238 387 3 the the DET fis-4238 387 4 uiqs uiqs ADJ fis-4238 387 5 and and CCONJ fis-4238 387 6 srqs srqs NUM fis-4238 387 7 in in ADP fis-4238 387 8 the the DET fis-4238 387 9 first first ADJ fis-4238 387 10 model model NOUN fis-4238 387 11 ( ( PUNCT fis-4238 387 12 with with ADP fis-4238 387 13 eight eight NUM fis-4238 387 14 uiqs uiqs ADJ fis-4238 387 15 ) ) PUNCT fis-4238 387 16 the the DET fis-4238 387 17 involved involved ADJ fis-4238 387 18 stresses stress NOUN fis-4238 387 19 were be AUX fis-4238 387 20 obtained obtain VERB fis-4238 387 21 by by ADP fis-4238 387 22 the the DET fis-4238 387 23 application application NOUN fis-4238 387 24 of of ADP fis-4238 387 25 the the DET fis-4238 387 26 finite finite PROPN fis-4238 387 27 element element NOUN fis-4238 387 28 method method NOUN fis-4238 387 29 ( ( PUNCT fis-4238 387 30 fem fem NOUN fis-4238 387 31 ) ) PUNCT fis-4238 387 32 and and CCONJ fis-4238 387 33 the the DET fis-4238 387 34 uiqs uiqs ADJ fis-4238 387 35 modeled model VERB fis-4238 387 36 were be AUX fis-4238 387 37 selected select VERB fis-4238 387 38 for for ADP fis-4238 387 39 this this DET fis-4238 387 40 problem problem NOUN fis-4238 387 41 according accord VERB fis-4238 387 42 to to ADP fis-4238 387 43 tab tab NOUN fis-4238 387 44 . . PUNCT fis-4238 388 1 2 2 NUM fis-4238 388 2 , , PUNCT fis-4238 388 3 as as SCONJ fis-4238 388 4 already already ADV fis-4238 388 5 mentioned mention VERB fis-4238 388 6 . . PUNCT fis-4238 389 1 the the DET fis-4238 389 2 mep mep PROPN fis-4238 389 3 was be AUX fis-4238 389 4 applied apply VERB fis-4238 389 5 to to PART fis-4238 389 6 generate generate VERB fis-4238 389 7 the the DET fis-4238 389 8 most most ADV fis-4238 389 9 unbiased unbiased ADJ fis-4238 389 10 input input NOUN fis-4238 389 11 data datum NOUN fis-4238 389 12 . . PUNCT fis-4238 390 1 in in ADP fis-4238 390 2 addition addition NOUN fis-4238 390 3 , , PUNCT fis-4238 390 4 tab tab NOUN fis-4238 390 5 . . PUNCT fis-4238 390 6 3 3 NUM fis-4238 390 7 presents present VERB fis-4238 390 8 the the DET fis-4238 390 9 frequencies frequency NOUN fis-4238 390 10 of of ADP fis-4238 390 11 each each DET fis-4238 390 12 aleatory aleatory ADJ fis-4238 390 13 - - PUNCT fis-4238 390 14 type type NOUN fis-4238 390 15 uiq uiq ADJ fis-4238 390 16 in in ADP fis-4238 390 17 order order NOUN fis-4238 390 18 to to PART fis-4238 390 19 compose compose VERB fis-4238 390 20 the the DET fis-4238 390 21 rank rank NOUN fis-4238 390 22 from from ADP fis-4238 390 23 the the DET fis-4238 390 24 eem eem PROPN fis-4238 390 25 , , PUNCT fis-4238 390 26 which which PRON fis-4238 390 27 was be AUX fis-4238 390 28 accomplished accomplish VERB fis-4238 390 29 for for ADP fis-4238 390 30 10000 10000 NUM fis-4238 390 31 realizations realization NOUN fis-4238 390 32 . . PUNCT fis-4238 391 1 under under ADP fis-4238 391 2 the the DET fis-4238 391 3 criterion criterion NOUN fis-4238 391 4 of of ADP fis-4238 391 5 the the DET fis-4238 391 6 most most ADV fis-4238 391 7 frequent frequent ADJ fis-4238 391 8 outcome outcome NOUN fis-4238 391 9 , , PUNCT fis-4238 391 10 the the DET fis-4238 391 11 four four NUM fis-4238 391 12 most most ADV fis-4238 391 13 influencing influence VERB fis-4238 391 14 uiqs uiqs ADJ fis-4238 391 15 are be AUX fis-4238 391 16 , , PUNCT fis-4238 391 17 in in ADP fis-4238 391 18 decreasing decrease VERB fis-4238 391 19 order order NOUN fis-4238 391 20 : : PUNCT fis-4238 391 21 ( ( PUNCT fis-4238 391 22 a a X fis-4238 391 23 ) ) PUNCT fis-4238 391 24 m m VERB fis-4238 391 25 , , PUNCT fis-4238 391 26 which which DET fis-4238 391 27 frequency frequency NOUN fis-4238 391 28 is be AUX fis-4238 391 29 9371 9371 NUM fis-4238 391 30 realizations realization NOUN fis-4238 391 31 in in ADP fis-4238 391 32 the the DET fis-4238 391 33 first first ADJ fis-4238 391 34 place place NOUN fis-4238 391 35 of of ADP fis-4238 391 36 the the DET fis-4238 391 37 ranking ranking NOUN fis-4238 391 38 ; ; PUNCT fis-4238 391 39 ( ( PUNCT fis-4238 391 40 b b X fis-4238 391 41 ) ) PUNCT fis-4238 391 42 0a 0a PROPN fis-4238 391 43 , , PUNCT fis-4238 391 44 presenting present VERB fis-4238 391 45 6603 6603 NUM fis-4238 391 46 realizations realization NOUN fis-4238 391 47 in in ADP fis-4238 391 48 the the DET fis-4238 391 49 second second ADJ fis-4238 391 50 place place NOUN fis-4238 391 51 of of ADP fis-4238 391 52 the the DET fis-4238 391 53 ranking ranking NOUN fis-4238 391 54 ; ; PUNCT fis-4238 391 55 ( ( PUNCT fis-4238 391 56 c c X fis-4238 391 57 ) ) PUNCT fis-4238 391 58 t t NOUN fis-4238 391 59 , , PUNCT fis-4238 391 60 with with ADP fis-4238 391 61 6220 6220 NUM fis-4238 391 62 realizations.in realizations.in ADP fis-4238 391 63 the the DET fis-4238 391 64 third third ADJ fis-4238 391 65 place place NOUN fis-4238 391 66 of of ADP fis-4238 391 67 the the DET fis-4238 391 68 ranking ranking NOUN fis-4238 391 69 ; ; PUNCT fis-4238 391 70 and and CCONJ fis-4238 391 71 ( ( PUNCT fis-4238 391 72 d d X fis-4238 391 73 ) ) PUNCT fis-4238 391 74 d d NOUN fis-4238 391 75 , , PUNCT fis-4238 391 76 corresponding correspond VERB fis-4238 391 77 to to ADP fis-4238 391 78 8351 8351 NUM fis-4238 391 79 realizations realization NOUN fis-4238 391 80 in in ADP fis-4238 391 81 the the DET fis-4238 391 82 fourth fourth ADJ fis-4238 391 83 place place NOUN fis-4238 391 84 of of ADP fis-4238 391 85 the the DET fis-4238 391 86 ranking ranking NOUN fis-4238 391 87 . . PUNCT fis-4238 392 1 rank rank NOUN fis-4238 392 2 number number NOUN fis-4238 392 3 of of ADP fis-4238 392 4 realizations realization NOUN fis-4238 392 5 d d PROPN fis-4238 392 6 t t PROPN fis-4238 392 7 0a 0a PROPN fis-4238 392 8 0n 0n NOUN fis-4238 392 9 cik cik PROPN fis-4238 392 10 1 1 NUM fis-4238 392 11 1 1 NUM fis-4238 392 12 , , PUNCT fis-4238 392 13     SPACE fis-4238 392 14 x x X fis-4238 393 1 y y NOUN fis-4238 393 2 p p NOUN fis-4238 393 3 p p X fis-4238 393 4 c c NOUN fis-4238 393 5 m m NOUN fis-4238 393 6 1 1 NUM fis-4238 393 7 55 55 NUM fis-4238 393 8 184 184 NUM fis-4238 393 9 389 389 NUM fis-4238 393 10 0 0 NUM fis-4238 393 11 1 1 NUM fis-4238 393 12 0 0 NUM fis-4238 393 13 0 0 NUM fis-4238 393 14 9371 9371 NUM fis-4238 393 15 2 2 NUM fis-4238 393 16 530 530 NUM fis-4238 393 17 2255 2255 NUM fis-4238 393 18 6603 6603 NUM fis-4238 393 19 0 0 NUM fis-4238 393 20 4 4 NUM fis-4238 393 21 0 0 NUM fis-4238 393 22 0 0 NUM fis-4238 393 23 608 608 NUM fis-4238 393 24 3 3 NUM fis-4238 393 25 1022 1022 NUM fis-4238 393 26 6220 6220 NUM fis-4238 393 27 2727 2727 NUM fis-4238 393 28 0 0 NUM fis-4238 393 29 10 10 NUM fis-4238 393 30 0 0 NUM fis-4238 393 31 0 0 NUM fis-4238 393 32 21 21 NUM fis-4238 393 33 4 4 NUM fis-4238 393 34 8351 8351 NUM fis-4238 393 35 1338 1338 NUM fis-4238 393 36 281 281 NUM fis-4238 393 37 0 0 NUM fis-4238 393 38 30 30 NUM fis-4238 393 39 0 0 NUM fis-4238 393 40 0 0 NUM fis-4238 393 41 0 0 NUM fis-4238 393 42 5 5 NUM fis-4238 393 43 42 42 NUM fis-4238 393 44 3 3 NUM fis-4238 393 45 0 0 NUM fis-4238 393 46 2 2 NUM fis-4238 393 47 147 147 NUM fis-4238 393 48 5 5 NUM fis-4238 393 49 9801 9801 NUM fis-4238 393 50 0 0 NUM fis-4238 393 51 6 6 NUM fis-4238 393 52 0 0 NUM fis-4238 393 53 0 0 NUM fis-4238 393 54 0 0 NUM fis-4238 393 55 62 62 NUM fis-4238 393 56 9617 9617 NUM fis-4238 393 57 124 124 NUM fis-4238 393 58 197 197 NUM fis-4238 393 59 0 0 NUM fis-4238 393 60 7 7 NUM fis-4238 393 61 0 0 NUM fis-4238 393 62 0 0 NUM fis-4238 393 63 0 0 NUM fis-4238 393 64 2702 2702 NUM fis-4238 393 65 190 190 NUM fis-4238 393 66 7106 7106 NUM fis-4238 393 67 2 2 NUM fis-4238 393 68 0 0 NUM fis-4238 393 69 8 8 NUM fis-4238 393 70 0 0 NUM fis-4238 393 71 0 0 NUM fis-4238 393 72 0 0 NUM fis-4238 393 73 7234 7234 NUM fis-4238 393 74 1 1 NUM fis-4238 393 75 2765 2765 NUM fis-4238 393 76 0 0 NUM fis-4238 393 77 0 0 NUM fis-4238 393 78 table table NOUN fis-4238 393 79 3 3 NUM fis-4238 393 80 : : PUNCT fis-4238 393 81 matrix matrix NOUN fis-4238 393 82 of of ADP fis-4238 393 83 frequencies frequency NOUN fis-4238 393 84 ( ( PUNCT fis-4238 393 85 number number NOUN fis-4238 393 86 of of ADP fis-4238 393 87 realizations realization NOUN fis-4238 393 88 ) ) PUNCT fis-4238 393 89 to to PART fis-4238 393 90 compose compose VERB fis-4238 393 91 the the DET fis-4238 393 92 eem eem PROPN fis-4238 393 93 rank rank NOUN fis-4238 393 94 for for ADP fis-4238 393 95 the the DET fis-4238 393 96 planar planar ADJ fis-4238 393 97 truss truss NOUN fis-4238 393 98 example example NOUN fis-4238 393 99 . . PUNCT fis-4238 394 1 based base VERB fis-4238 394 2 on on ADP fis-4238 394 3 the the DET fis-4238 394 4 results result NOUN fis-4238 394 5 from from ADP fis-4238 394 6 the the DET fis-4238 394 7 eem eem PROPN fis-4238 394 8 , , PUNCT fis-4238 394 9 the the DET fis-4238 394 10 second second ADJ fis-4238 394 11 model model NOUN fis-4238 394 12 was be AUX fis-4238 394 13 created create VERB fis-4238 394 14 with with ADP fis-4238 394 15 the the DET fis-4238 394 16 uncertainty uncertainty NOUN fis-4238 394 17 related relate VERB fis-4238 394 18 to to ADP fis-4238 394 19 these these DET fis-4238 394 20 four four NUM fis-4238 394 21 uiqs uiqs ADJ fis-4238 394 22 being be AUX fis-4238 394 23 propagated propagate VERB fis-4238 394 24 , , PUNCT fis-4238 394 25 yet yet ADV fis-4238 394 26 observing observe VERB fis-4238 394 27 the the DET fis-4238 394 28 information information NOUN fis-4238 394 29 previously previously ADV fis-4238 394 30 given give VERB fis-4238 394 31 by by ADP fis-4238 394 32 tabs tab NOUN fis-4238 394 33 . . PUNCT fis-4238 395 1 1 1 NUM fis-4238 395 2 and and CCONJ fis-4238 395 3 2 2 NUM fis-4238 395 4 . . PUNCT fis-4238 396 1 the the DET fis-4238 396 2 other other ADJ fis-4238 396 3 four four NUM fis-4238 396 4 ( ( PUNCT fis-4238 396 5 least least ADJ fis-4238 396 6 influencing influence VERB fis-4238 396 7 ) ) PUNCT fis-4238 396 8 were be AUX fis-4238 396 9 then then ADV fis-4238 396 10 assumed assume VERB fis-4238 396 11 as as ADP fis-4238 396 12 deterministic deterministic ADJ fis-4238 396 13 quantities quantity NOUN fis-4238 396 14 . . PUNCT fis-4238 397 1 therefore therefore ADV fis-4238 397 2 , , PUNCT fis-4238 397 3 10000 10000 NUM fis-4238 397 4 new new ADJ fis-4238 397 5 realizations realization NOUN fis-4238 397 6 were be AUX fis-4238 397 7 obtained obtain VERB fis-4238 397 8 for for ADP fis-4238 397 9 each each DET fis-4238 397 10 parameter parameter NOUN fis-4238 397 11 via via ADP fis-4238 397 12 simulation simulation NOUN fis-4238 397 13 of of ADP fis-4238 397 14 the the DET fis-4238 397 15 second second ADJ fis-4238 397 16 model model NOUN fis-4238 397 17 , , PUNCT fis-4238 397 18 such such ADJ fis-4238 397 19 that that SCONJ fis-4238 397 20 the the DET fis-4238 397 21 results result NOUN fis-4238 397 22 presented present VERB fis-4238 397 23 from from ADP fis-4238 397 24 now now ADV fis-4238 397 25 on on ADV fis-4238 397 26 are be AUX fis-4238 397 27 referred refer VERB fis-4238 397 28 to to ADP fis-4238 397 29 this this DET fis-4238 397 30 model model NOUN fis-4238 397 31 . . PUNCT fis-4238 398 1 results result NOUN fis-4238 398 2 for for ADP fis-4238 398 3 uiqs uiqs ADJ fis-4238 398 4 and and CCONJ fis-4238 398 5 srqs srqs NUM fis-4238 398 6 in in ADP fis-4238 398 7 the the DET fis-4238 398 8 second second ADJ fis-4238 398 9 model model NOUN fis-4238 398 10 ( ( PUNCT fis-4238 398 11 with with ADP fis-4238 398 12 four four NUM fis-4238 398 13 uiqs uiqs ADJ fis-4238 398 14 ) ) PUNCT fis-4238 398 15 the the DET fis-4238 398 16 eme eme NOUN fis-4238 398 17 distributions distribution NOUN fis-4238 398 18 associated associate VERB fis-4238 398 19 with with ADP fis-4238 398 20 histograms histogram NOUN fis-4238 398 21 of of ADP fis-4238 398 22 uiqs uiqs ADJ fis-4238 398 23 m m PROPN fis-4238 398 24 , , PUNCT fis-4238 398 25 t t PROPN fis-4238 398 26 , , PUNCT fis-4238 398 27 0a 0a PROPN fis-4238 398 28 , , PUNCT fis-4238 398 29 and and CCONJ fis-4238 398 30 d d NOUN fis-4238 398 31 are be AUX fis-4238 398 32 illustrated illustrate VERB fis-4238 398 33 in in ADP fis-4238 398 34 figs fig NOUN fis-4238 398 35 . . PUNCT fis-4238 399 1 5 5 NUM fis-4238 399 2 and and CCONJ fis-4238 399 3 6 6 NUM fis-4238 399 4 , , PUNCT fis-4238 399 5 where where SCONJ fis-4238 399 6 the the DET fis-4238 399 7 solid solid ADJ fis-4238 399 8 blue blue ADJ fis-4238 399 9 line line NOUN fis-4238 399 10 represents represent VERB fis-4238 399 11 the the DET fis-4238 399 12 pdf pdf NOUN fis-4238 399 13 , , PUNCT fis-4238 399 14 and and CCONJ fis-4238 399 15 the the DET fis-4238 399 16 yellow yellow ADJ fis-4238 399 17 bars bar NOUN fis-4238 399 18 compose compose VERB fis-4238 399 19 the the DET fis-4238 399 20 histogram histogram NOUN fis-4238 399 21 . . PUNCT fis-4238 400 1 the the DET fis-4238 400 2 dotted dotted ADJ fis-4238 400 3 vertical vertical ADJ fis-4238 400 4 black black ADJ fis-4238 400 5 line line NOUN fis-4238 400 6 ( ( PUNCT fis-4238 400 7 lower low ADJ fis-4238 400 8 bound bind VERB fis-4238 400 9 ) ) PUNCT fis-4238 400 10 and and CCONJ fis-4238 400 11 the the DET fis-4238 400 12 continuous continuous ADJ fis-4238 400 13 vertical vertical ADJ fis-4238 400 14 black black ADJ fis-4238 400 15 line line NOUN fis-4238 400 16 ( ( PUNCT fis-4238 400 17 upper upper ADJ fis-4238 400 18 bound bind VERB fis-4238 400 19 ) ) PUNCT fis-4238 400 20 delimit delimit VERB fis-4238 400 21 the the DET fis-4238 400 22 range range NOUN fis-4238 400 23 covered cover VERB fis-4238 400 24 by by ADP fis-4238 400 25 the the DET fis-4238 400 26 truncated truncated ADJ fis-4238 400 27 distribution distribution NOUN fis-4238 400 28 . . PUNCT fis-4238 401 1 in in ADP fis-4238 401 2 addition addition NOUN fis-4238 401 3 , , PUNCT fis-4238 401 4 the the DET fis-4238 401 5 vertical vertical ADJ fis-4238 401 6 lines line NOUN fis-4238 401 7 ( ( PUNCT fis-4238 401 8 the the DET fis-4238 401 9 continuous continuous ADJ fis-4238 401 10 red red NOUN fis-4238 401 11 and and CCONJ fis-4238 401 12 the the DET fis-4238 401 13 dashed dash VERB fis-4238 401 14 green green ADJ fis-4238 401 15 ones one NOUN fis-4238 401 16 ) ) PUNCT fis-4238 401 17 correspond correspond VERB fis-4238 401 18 to to ADP fis-4238 401 19 the the DET fis-4238 401 20 deterministic deterministic ADJ fis-4238 401 21 value value NOUN fis-4238 401 22 and and CCONJ fis-4238 401 23 its its PRON fis-4238 401 24 mean mean ADJ fis-4238 401 25 value value NOUN fis-4238 401 26 , , PUNCT fis-4238 401 27 respectively respectively ADV fis-4238 401 28 . . PUNCT fis-4238 402 1 these these DET fis-4238 402 2 representations representation NOUN fis-4238 402 3 are be AUX fis-4238 402 4 referred refer VERB fis-4238 402 5 to to ADP fis-4238 402 6 the the DET fis-4238 402 7 sample sample NOUN fis-4238 402 8 of of ADP fis-4238 402 9 the the DET fis-4238 402 10 structural structural ADJ fis-4238 402 11 element element NOUN fis-4238 402 12 2 2 NUM fis-4238 402 13 , , PUNCT fis-4238 402 14 as as ADV fis-4238 402 15 well well ADV fis-4238 402 16 as as ADP fis-4238 402 17 could could AUX fis-4238 402 18 have have AUX fis-4238 402 19 been be AUX fis-4238 402 20 taken take VERB fis-4238 402 21 from from ADP fis-4238 402 22 another another DET fis-4238 402 23 structural structural ADJ fis-4238 402 24 element element NOUN fis-4238 402 25 , , PUNCT fis-4238 402 26 since since SCONJ fis-4238 402 27 they they PRON fis-4238 402 28 all all PRON fis-4238 402 29 have have VERB fis-4238 402 30 variable variable ADJ fis-4238 402 31 parameters parameter NOUN fis-4238 402 32 . . PUNCT fis-4238 403 1 as as SCONJ fis-4238 403 2 kernel kernel NOUN fis-4238 403 3 smoothing smooth VERB fis-4238 403 4 function function NOUN fis-4238 403 5 was be AUX fis-4238 403 6 applied apply VERB fis-4238 403 7 to to ADP fis-4238 403 8 all all DET fis-4238 403 9 the the DET fis-4238 403 10 pdfs pdfs NOUN fis-4238 403 11 of of ADP fis-4238 403 12 this this DET fis-4238 403 13 paper paper NOUN fis-4238 403 14 , , PUNCT fis-4238 403 15 the the DET fis-4238 403 16 lower low ADJ fis-4238 403 17 and and CCONJ fis-4238 403 18 upper upper ADJ fis-4238 403 19 limits limit NOUN fis-4238 403 20 are be AUX fis-4238 403 21 surpassing surpass VERB fis-4238 403 22 the the DET fis-4238 403 23 interval interval NOUN fis-4238 403 24 covered cover VERB fis-4238 403 25 by by ADP fis-4238 403 26 the the DET fis-4238 403 27 histogram histogram NOUN fis-4238 403 28 due due ADP fis-4238 403 29 to to ADP fis-4238 403 30 tails tail NOUN fis-4238 403 31 smoothing smooth VERB fis-4238 403 32 . . PUNCT fis-4238 404 1 confirming confirm VERB fis-4238 404 2 the the DET fis-4238 404 3 condition condition NOUN fis-4238 404 4 of of ADP fis-4238 404 5 the the DET fis-4238 404 6 mean mean NOUN fis-4238 404 7 not not PART fis-4238 404 8 coincident coincident ADJ fis-4238 404 9 with with ADP fis-4238 404 10 the the DET fis-4238 404 11 median median NOUN fis-4238 404 12 , , PUNCT fis-4238 404 13 the the DET fis-4238 404 14 mode mode NOUN fis-4238 404 15 is be AUX fis-4238 404 16 at at ADP fis-4238 404 17 the the DET fis-4238 404 18 left left NOUN fis-4238 404 19 of of ADP fis-4238 404 20 the the DET fis-4238 404 21 mean mean NOUN fis-4238 404 22 . . PUNCT fis-4238 405 1 the the DET fis-4238 405 2 behavior behavior NOUN fis-4238 405 3 of of ADP fis-4238 405 4 the the DET fis-4238 405 5 srq srq PROPN fis-4238 405 6 n n NUM fis-4238 405 7 is be AUX fis-4238 405 8 represented represent VERB fis-4238 405 9 in in ADP fis-4238 405 10 fig fig NOUN fis-4238 405 11 . . PUNCT fis-4238 406 1 7 7 NUM fis-4238 406 2 , , PUNCT fis-4238 406 3 which which PRON fis-4238 406 4 shows show VERB fis-4238 406 5 the the DET fis-4238 406 6 histogram histogram NOUN fis-4238 406 7 with with ADP fis-4238 406 8 its its PRON fis-4238 406 9 corresponding corresponding ADJ fis-4238 406 10 estimated estimate VERB fis-4238 406 11 pdf pdf NOUN fis-4238 406 12 . . PUNCT fis-4238 407 1 this this DET fis-4238 407 2 plot plot NOUN fis-4238 407 3 observes observe VERB fis-4238 407 4 the the DET fis-4238 407 5 same same ADJ fis-4238 407 6 convention convention NOUN fis-4238 407 7 of of ADP fis-4238 407 8 the the DET fis-4238 407 9 line line NOUN fis-4238 407 10 styles style NOUN fis-4238 407 11 of of ADP fis-4238 407 12 the the DET fis-4238 407 13 plots plot NOUN fis-4238 407 14 of of ADP fis-4238 407 15 the the DET fis-4238 407 16 uiqs uiqs ADJ fis-4238 407 17 , , PUNCT fis-4238 407 18 except except SCONJ fis-4238 407 19 for for ADP fis-4238 407 20 the the DET fis-4238 407 21 bounds bound NOUN fis-4238 407 22 ( ( PUNCT fis-4238 407 23 not not PART fis-4238 407 24 represented represent VERB fis-4238 407 25 because because SCONJ fis-4238 407 26 they they PRON fis-4238 407 27 are be AUX fis-4238 407 28 the the DET fis-4238 407 29 output output NOUN fis-4238 407 30 in in ADP fis-4238 407 31 the the DET fis-4238 407 32 calculation calculation NOUN fis-4238 407 33 ) ) PUNCT fis-4238 407 34 . . PUNCT fis-4238 408 1 although although SCONJ fis-4238 408 2 all all DET fis-4238 408 3 the the DET fis-4238 408 4 uiqs uiqs ADJ fis-4238 408 5 were be AUX fis-4238 408 6 modeled model VERB fis-4238 408 7 as as ADP fis-4238 408 8 eme eme NOUN fis-4238 408 9 distributions distribution NOUN fis-4238 408 10 , , PUNCT fis-4238 408 11 the the DET fis-4238 408 12 histogram histogram NOUN fis-4238 408 13 and and CCONJ fis-4238 408 14 estimated estimated ADJ fis-4238 408 15 pdf pdf NOUN fis-4238 408 16 of of ADP fis-4238 408 17 the the DET fis-4238 408 18 srq srq NOUN fis-4238 408 19 n n PRON fis-4238 408 20 do do AUX fis-4238 408 21 not not PART fis-4238 408 22 address address VERB fis-4238 408 23 the the DET fis-4238 408 24 same same ADJ fis-4238 408 25 behavior behavior NOUN fis-4238 408 26 . . PUNCT fis-4238 409 1 t t PROPN fis-4238 409 2 r. r. PROPN fis-4238 409 3 b. b. PROPN fis-4238 409 4 p. p. PROPN fis-4238 409 5 nonato nonato PROPN fis-4238 409 6 , , PUNCT fis-4238 409 7 frattura frattura PROPN fis-4238 409 8 ed ed PROPN fis-4238 409 9 integrità integrità PROPN fis-4238 409 10 strutturale strutturale PROPN fis-4238 409 11 , , PUNCT fis-4238 409 12 65 65 NUM fis-4238 409 13 ( ( PUNCT fis-4238 409 14 2023 2023 NUM fis-4238 409 15 ) ) PUNCT fis-4238 409 16 17 17 NUM fis-4238 409 17 - - SYM fis-4238 409 18 37 37 NUM fis-4238 409 19 ; ; PUNCT fis-4238 409 20 doi doi NOUN fis-4238 409 21 : : PUNCT fis-4238 409 22 10.3221 10.3221 NUM fis-4238 409 23 / / SYM fis-4238 409 24 igf igf PROPN fis-4238 409 25 - - ADJ fis-4238 409 26 esis.66.02 esis.66.02 NOUN fis-4238 409 27 30 30 NUM fis-4238 409 28 figure figure NOUN fis-4238 409 29 5 5 NUM fis-4238 409 30 : : PUNCT fis-4238 409 31 histograms histogram NOUN fis-4238 409 32 and and CCONJ fis-4238 409 33 pdfs pdfs PROPN fis-4238 409 34 of of ADP fis-4238 409 35 the the DET fis-4238 409 36 uiqs uiqs ADJ fis-4238 409 37 m m PROPN fis-4238 409 38 and and CCONJ fis-4238 409 39 t t X fis-4238 409 40 with with ADP fis-4238 409 41 indications indication NOUN fis-4238 409 42 : : PUNCT fis-4238 409 43 deterministic deterministic ADJ fis-4238 409 44 , , PUNCT fis-4238 409 45 lower lower ADV fis-4238 409 46 bound bind VERB fis-4238 409 47 , , PUNCT fis-4238 409 48 upper upper ADJ fis-4238 409 49 bound bind VERB fis-4238 409 50 , , PUNCT fis-4238 409 51 mean mean NOUN fis-4238 409 52 ( ( PUNCT fis-4238 409 53 element element NOUN fis-4238 409 54 2 2 NUM fis-4238 409 55 ) ) PUNCT fis-4238 409 56 . . PUNCT fis-4238 410 1 figure figure VERB fis-4238 410 2 6 6 NUM fis-4238 410 3 : : PUNCT fis-4238 410 4 histograms histogram NOUN fis-4238 410 5 and and CCONJ fis-4238 410 6 pdfs pdfs PROPN fis-4238 410 7 of of ADP fis-4238 410 8 the the DET fis-4238 410 9 uiqs uiqs ADJ fis-4238 410 10 0a 0a PROPN fis-4238 410 11 and and CCONJ fis-4238 410 12 d d NOUN fis-4238 410 13 with with ADP fis-4238 410 14 indications indication NOUN fis-4238 410 15 : : PUNCT fis-4238 410 16 deterministic deterministic ADJ fis-4238 410 17 , , PUNCT fis-4238 410 18 lower lower ADV fis-4238 410 19 bound bind VERB fis-4238 410 20 , , PUNCT fis-4238 410 21 upper upper ADJ fis-4238 410 22 bound bind VERB fis-4238 410 23 , , PUNCT fis-4238 410 24 mean mean NOUN fis-4238 410 25 ( ( PUNCT fis-4238 410 26 element element NOUN fis-4238 410 27 2 2 NUM fis-4238 410 28 ) ) PUNCT fis-4238 410 29 . . PUNCT fis-4238 411 1 figure figure VERB fis-4238 411 2 7 7 NUM fis-4238 411 3 : : PUNCT fis-4238 411 4 histogram histogram NOUN fis-4238 411 5 and and CCONJ fis-4238 411 6 pdf pdf NOUN fis-4238 411 7 of of ADP fis-4238 411 8 srq srq PROPN fis-4238 411 9 n n PROPN fis-4238 411 10 of of ADP fis-4238 411 11 the the DET fis-4238 411 12 structural structural ADJ fis-4238 411 13 system system NOUN fis-4238 411 14 with with ADP fis-4238 411 15 their their PRON fis-4238 411 16 corresponding correspond VERB fis-4238 411 17 indications indication NOUN fis-4238 411 18 : : PUNCT fis-4238 411 19 deterministic deterministic ADJ fis-4238 411 20 and and CCONJ fis-4238 411 21 mean mean ADJ fis-4238 411 22 . . PUNCT fis-4238 412 1 r. r. PROPN fis-4238 412 2 b. b. PROPN fis-4238 412 3 p. p. PROPN fis-4238 412 4 nonato nonato PROPN fis-4238 412 5 , , PUNCT fis-4238 412 6 frattura frattura PROPN fis-4238 412 7 ed ed PROPN fis-4238 412 8 integrità integrità PROPN fis-4238 412 9 strutturale strutturale PROPN fis-4238 412 10 , , PUNCT fis-4238 412 11 65 65 NUM fis-4238 412 12 ( ( PUNCT fis-4238 412 13 2023 2023 NUM fis-4238 412 14 ) ) PUNCT fis-4238 412 15 17 17 NUM fis-4238 412 16 - - SYM fis-4238 412 17 37 37 NUM fis-4238 412 18 ; ; PUNCT fis-4238 412 19 doi doi NOUN fis-4238 412 20 : : PUNCT fis-4238 412 21 10.3221 10.3221 NUM fis-4238 412 22 / / SYM fis-4238 412 23 igf igf PROPN fis-4238 412 24 - - ADJ fis-4238 412 25 esis.66.02 esis.66.02 PROPN fis-4238 412 26 31 31 NUM fis-4238 412 27 tabs tab NOUN fis-4238 412 28 . . PUNCT fis-4238 413 1 4 4 NUM fis-4238 413 2 and and CCONJ fis-4238 413 3 5 5 NUM fis-4238 413 4 present present VERB fis-4238 413 5 some some DET fis-4238 413 6 statistical statistical ADJ fis-4238 413 7 parameters parameter NOUN fis-4238 413 8 referred refer VERB fis-4238 413 9 to to ADP fis-4238 413 10 uiqs uiqs ADJ fis-4238 413 11 and and CCONJ fis-4238 413 12 srqs srqs PROPN fis-4238 413 13 treated treat VERB fis-4238 413 14 herein herein NOUN fis-4238 413 15 . . PUNCT fis-4238 414 1 the the DET fis-4238 414 2 values value NOUN fis-4238 414 3 obtained obtain VERB fis-4238 414 4 from from ADP fis-4238 414 5 simulations simulation NOUN fis-4238 414 6 performed perform VERB fis-4238 414 7 are be AUX fis-4238 414 8 indicated indicate VERB fis-4238 414 9 as as SCONJ fis-4238 414 10 estimated estimate VERB fis-4238 414 11 in in ADP fis-4238 414 12 the the DET fis-4238 414 13 pertinent pertinent ADJ fis-4238 414 14 columns column NOUN fis-4238 414 15 . . PUNCT fis-4238 415 1 the the DET fis-4238 415 2 relative relative ADJ fis-4238 415 3 errors error NOUN fis-4238 415 4 are be AUX fis-4238 415 5 calculated calculate VERB fis-4238 415 6 between between ADP fis-4238 415 7 the the DET fis-4238 415 8 deterministic deterministic NOUN fis-4238 415 9 and and CCONJ fis-4238 415 10 the the DET fis-4238 415 11 simulated simulate VERB fis-4238 415 12 ones one NOUN fis-4238 415 13 . . PUNCT fis-4238 416 1 the the DET fis-4238 416 2 magnitudes magnitude NOUN fis-4238 416 3 of of ADP fis-4238 416 4 the the DET fis-4238 416 5 relative relative ADJ fis-4238 416 6 errors error NOUN fis-4238 416 7 obtained obtain VERB fis-4238 416 8 correspond correspond ADV fis-4238 416 9 to to ADP fis-4238 416 10 a a DET fis-4238 416 11 good good ADJ fis-4238 416 12 agreement agreement NOUN fis-4238 416 13 of of ADP fis-4238 416 14 the the DET fis-4238 416 15 simulations simulation NOUN fis-4238 416 16 compared compare VERB fis-4238 416 17 to to ADP fis-4238 416 18 the the DET fis-4238 416 19 information information NOUN fis-4238 416 20 initially initially ADV fis-4238 416 21 provided provide VERB fis-4238 416 22 , , PUNCT fis-4238 416 23 which which PRON fis-4238 416 24 is be AUX fis-4238 416 25 partially partially ADV fis-4238 416 26 explained explain VERB fis-4238 416 27 by by ADP fis-4238 416 28 the the DET fis-4238 416 29 use use NOUN fis-4238 416 30 of of ADP fis-4238 416 31 lhs lhs PROPN fis-4238 416 32 as as ADP fis-4238 416 33 the the DET fis-4238 416 34 method method NOUN fis-4238 416 35 of of ADP fis-4238 416 36 uncertainty uncertainty NOUN fis-4238 416 37 propagation propagation NOUN fis-4238 416 38 . . PUNCT fis-4238 417 1 these these DET fis-4238 417 2 tables table NOUN fis-4238 417 3 also also ADV fis-4238 417 4 present present VERB fis-4238 417 5 the the DET fis-4238 417 6 coefficient coefficient NOUN fis-4238 417 7 of of ADP fis-4238 417 8 variation variation NOUN fis-4238 417 9 ( ( PUNCT fis-4238 417 10 cov cov NOUN fis-4238 417 11 ) ) PUNCT fis-4238 417 12 , , PUNCT fis-4238 417 13 in in ADP fis-4238 417 14 which which PRON fis-4238 417 15 uiq uiq ADJ fis-4238 417 16 0a 0a PROPN fis-4238 417 17 could could AUX fis-4238 417 18 be be AUX fis-4238 417 19 observed observe VERB fis-4238 417 20 as as ADP fis-4238 417 21 having have VERB fis-4238 417 22 the the DET fis-4238 417 23 highest high ADJ fis-4238 417 24 cov cov NOUN fis-4238 417 25 . . PUNCT fis-4238 418 1 followed follow VERB fis-4238 418 2 by by ADP fis-4238 418 3 0a 0a PROPN fis-4238 418 4 , , PUNCT fis-4238 418 5 in in ADP fis-4238 418 6 descending descend VERB fis-4238 418 7 order order NOUN fis-4238 418 8 , , PUNCT fis-4238 418 9 t t PROPN fis-4238 418 10 , , PUNCT fis-4238 418 11 d d X fis-4238 418 12 , , PUNCT fis-4238 418 13 and and CCONJ fis-4238 418 14 m m VERB fis-4238 418 15 close close ADJ fis-4238 418 16 this this DET fis-4238 418 17 list list NOUN fis-4238 418 18 of of ADP fis-4238 418 19 uiqs uiqs ADJ fis-4238 418 20 , , PUNCT fis-4238 418 21 i.e. i.e. X fis-4238 418 22 the the DET fis-4238 418 23 largest large ADJ fis-4238 418 24 standard standard ADJ fis-4238 418 25 dispersion dispersion NOUN fis-4238 418 26 of of ADP fis-4238 418 27 the the DET fis-4238 418 28 uiqs uiqs NOUN fis-4238 418 29 comes come VERB fis-4238 418 30 from from ADP fis-4238 418 31 0a 0a PROPN fis-4238 418 32 , , PUNCT fis-4238 418 33 and and CCONJ fis-4238 418 34 the the DET fis-4238 418 35 smallest small ADJ fis-4238 418 36 from from ADP fis-4238 418 37 m m PROPN fis-4238 418 38 ( ( PUNCT fis-4238 418 39 the the DET fis-4238 418 40 most most ADV fis-4238 418 41 efficient efficient ADJ fis-4238 418 42 uiq uiq ADJ fis-4238 418 43 in in ADP fis-4238 418 44 recovering recover VERB fis-4238 418 45 the the DET fis-4238 418 46 previously previously ADV fis-4238 418 47 given give VERB fis-4238 418 48 information information NOUN fis-4238 418 49 ) ) PUNCT fis-4238 418 50 . . PUNCT fis-4238 419 1 in in ADP fis-4238 419 2 addition addition NOUN fis-4238 419 3 , , PUNCT fis-4238 419 4 the the DET fis-4238 419 5 relative relative ADJ fis-4238 419 6 errors error NOUN fis-4238 419 7 shown show VERB fis-4238 419 8 in in ADP fis-4238 419 9 tab tab NOUN fis-4238 419 10 . . PUNCT fis-4238 419 11 5 5 NUM fis-4238 419 12 address address NOUN fis-4238 419 13 small small ADJ fis-4238 419 14 magnitudes magnitude NOUN fis-4238 419 15 , , PUNCT fis-4238 419 16 highlighting highlight VERB fis-4238 419 17 that that SCONJ fis-4238 419 18 in in ADP fis-4238 419 19 what what PRON fis-4238 419 20 refers refer VERB fis-4238 419 21 to to ADP fis-4238 419 22 lower low ADJ fis-4238 419 23 and and CCONJ fis-4238 419 24 upper upper ADJ fis-4238 419 25 bounds bound NOUN fis-4238 419 26 , , PUNCT fis-4238 419 27 0a 0a PROPN fis-4238 419 28 presents present VERB fis-4238 419 29 the the DET fis-4238 419 30 largest large ADJ fis-4238 419 31 values value NOUN fis-4238 419 32 of of ADP fis-4238 419 33 relative relative ADJ fis-4238 419 34 error error NOUN fis-4238 419 35 . . PUNCT fis-4238 420 1 in in ADP fis-4238 420 2 what what PRON fis-4238 420 3 concerns concern NOUN fis-4238 420 4 mean mean VERB fis-4238 420 5 , , PUNCT fis-4238 420 6 t t PROPN fis-4238 420 7 is be AUX fis-4238 420 8 the the DET fis-4238 420 9 largest large ADJ fis-4238 420 10 . . PUNCT fis-4238 421 1 in in ADP fis-4238 421 2 this this DET fis-4238 421 3 case case NOUN fis-4238 421 4 , , PUNCT fis-4238 421 5 the the DET fis-4238 421 6 uiq uiq ADJ fis-4238 421 7 with with ADP fis-4238 421 8 the the DET fis-4238 421 9 highest high ADJ fis-4238 421 10 cov cov NOUN fis-4238 421 11 ( ( PUNCT fis-4238 421 12 0a 0a PROPN fis-4238 421 13 ) ) PUNCT fis-4238 421 14 also also ADV fis-4238 421 15 has have VERB fis-4238 421 16 the the DET fis-4238 421 17 lowest low ADJ fis-4238 421 18 efficiency efficiency NOUN fis-4238 421 19 to to PART fis-4238 421 20 retrieve retrieve VERB fis-4238 421 21 the the DET fis-4238 421 22 previously previously ADV fis-4238 421 23 given give VERB fis-4238 421 24 information information NOUN fis-4238 421 25 . . PUNCT fis-4238 422 1 therefore therefore ADV fis-4238 422 2 , , PUNCT fis-4238 422 3 it it PRON fis-4238 422 4 is be AUX fis-4238 422 5 important important ADJ fis-4238 422 6 to to PART fis-4238 422 7 note note VERB fis-4238 422 8 that that SCONJ fis-4238 422 9 the the DET fis-4238 422 10 cov cov NOUN fis-4238 422 11 of of ADP fis-4238 422 12 a a DET fis-4238 422 13 simulated simulate VERB fis-4238 422 14 uiq uiq NOUN fis-4238 422 15 is be AUX fis-4238 422 16 not not PART fis-4238 422 17 always always ADV fis-4238 422 18 related relate VERB fis-4238 422 19 to to ADP fis-4238 422 20 its its PRON fis-4238 422 21 efficiency efficiency NOUN fis-4238 422 22 in in ADP fis-4238 422 23 recovering recover VERB fis-4238 422 24 the the DET fis-4238 422 25 information information NOUN fis-4238 422 26 given give VERB fis-4238 422 27 . . PUNCT fis-4238 423 1 parameter parameter PROPN fis-4238 423 2 estimated estimate VERB fis-4238 423 3 range range NOUN fis-4238 423 4 estimated estimate VERB fis-4238 423 5 mean mean ADJ fis-4238 423 6 estimated estimate VERB fis-4238 423 7 standard standard ADJ fis-4238 423 8 deviation deviation NOUN fis-4238 423 9 m m VERB fis-4238 424 1 [ [ X fis-4238 424 2 2.9925 2.9925 NUM fis-4238 424 3 ; ; PUNCT fis-4238 424 4 3.0149 3.0149 NUM fis-4238 424 5 ] ] PUNCT fis-4238 424 6 3.0001 3.0001 NUM fis-4238 424 7 0.0058 0.0058 NUM fis-4238 424 8 0a 0a X fis-4238 424 9 ( ( PUNCT fis-4238 424 10 mm mm NOUN fis-4238 424 11 ) ) PUNCT fis-4238 425 1 [ [ X fis-4238 425 2 2.4001 2.4001 NUM fis-4238 425 3 ; ; PUNCT fis-4238 425 4 2.6997 2.6997 NUM fis-4238 425 5 ] ] PUNCT fis-4238 425 6 2.5004 2.5004 NUM fis-4238 425 7 0.0777 0.0777 NUM fis-4238 425 8   NOUN fis-4238 425 9 mmt mmt PROPN fis-4238 426 1 [ [ X fis-4238 426 2 12.3001 12.3001 NUM fis-4238 426 3 ; ; PUNCT fis-4238 426 4 12.8999 12.8999 NUM fis-4238 426 5 ] ] SYM fis-4238 426 6 12.5022 12.5022 NUM fis-4238 426 7 0.1557 0.1557 NUM fis-4238 426 8   NOUN fis-4238 426 9 mmd mmd PUNCT fis-4238 427 1 [ [ X fis-4238 427 2 272.3176 272.3176 NUM fis-4238 427 3 ; ; PUNCT fis-4238 427 4 274.3639 274.3639 NUM fis-4238 427 5 ] ] X fis-4238 427 6 273.0120 273.0120 NUM fis-4238 427 7 0.5332 0.5332 NUM fis-4238 427 8   NOUN fis-4238 427 9 cyclesn cyclesn PUNCT fis-4238 428 1 [ [ X fis-4238 428 2 2.2760 2.2760 NUM fis-4238 428 3 ; ; PUNCT fis-4238 428 4 3.0470 3.0470 NUM fis-4238 428 5 ] ] PUNCT fis-4238 428 6 x x SYM fis-4238 428 7 109 109 NUM fis-4238 428 8 2.6490 2.6490 NUM fis-4238 428 9 x x SYM fis-4238 428 10 109 109 NUM fis-4238 428 11 0.1460 0.1460 NUM fis-4238 428 12 x x SYM fis-4238 428 13 109 109 NUM fis-4238 428 14 table table NOUN fis-4238 428 15 4 4 NUM fis-4238 428 16 : : PUNCT fis-4238 428 17 estimated estimated ADJ fis-4238 428 18 range range NOUN fis-4238 428 19 , , PUNCT fis-4238 428 20 mean mean VERB fis-4238 428 21 , , PUNCT fis-4238 428 22 and and CCONJ fis-4238 428 23 standard standard ADJ fis-4238 428 24 deviation deviation NOUN fis-4238 428 25 of of ADP fis-4238 428 26 the the DET fis-4238 428 27 five five NUM fis-4238 428 28 main main ADJ fis-4238 428 29 parameters parameter NOUN fis-4238 428 30 . . PUNCT fis-4238 429 1 parameter parameter PROPN fis-4238 429 2 re re ADP fis-4238 429 3 of of ADP fis-4238 429 4 lb lb DET fis-4238 429 5 ( ( PUNCT fis-4238 429 6 % % NOUN fis-4238 429 7 ) ) PUNCT fis-4238 429 8 re re ADP fis-4238 429 9 of of ADP fis-4238 429 10 ub ub INTJ fis-4238 429 11 ( ( PUNCT fis-4238 429 12 % % NOUN fis-4238 429 13 ) ) PUNCT fis-4238 429 14 re re ADP fis-4238 429 15 of of ADP fis-4238 429 16 mean mean ADJ fis-4238 429 17 ( ( PUNCT fis-4238 429 18 % % INTJ fis-4238 429 19 ) ) PUNCT fis-4238 429 20 cov cov PROPN fis-4238 429 21 m m VERB fis-4238 429 22 0.0001 0.0001 NUM fis-4238 429 23 0.0001 0.0001 NUM fis-4238 429 24 0.0031 0.0031 NUM fis-4238 429 25 0.0019 0.0019 NUM fis-4238 429 26 0a 0a PROPN fis-4238 429 27 ( ( PUNCT fis-4238 429 28 mm mm PROPN fis-4238 429 29 ) ) PUNCT fis-4238 429 30 0.0012 0.0012 NUM fis-4238 429 31 0.0127 0.0127 NUM fis-4238 429 32 0.0163 0.0163 NUM fis-4238 429 33 0.0311 0.0311 NUM fis-4238 429 34   NOUN fis-4238 429 35 mmt mmt PROPN fis-4238 429 36 0.0001 0.0001 NUM fis-4238 429 37 0.0010 0.0010 NUM fis-4238 429 38 0.0172 0.0172 NUM fis-4238 429 39 0.0125 0.0125 NUM fis-4238 429 40   NOUN fis-4238 429 41 mmd mmd X fis-4238 430 1 0.0002 0.0002 NUM fis-4238 430 2 0.0004 0.0004 NUM fis-4238 430 3 0.0044 0.0044 NUM fis-4238 430 4 0.0020 0.0020 NUM fis-4238 430 5   NOUN fis-4238 430 6 cyclesn cyclesn PUNCT fis-4238 430 7 not not PART fis-4238 430 8 applicable applicable ADJ fis-4238 430 9 not not PART fis-4238 430 10 applicable applicable ADJ fis-4238 430 11 0.1360 0.1360 NUM fis-4238 430 12 0.0396 0.0396 NUM fis-4238 430 13 table table NOUN fis-4238 430 14 5 5 NUM fis-4238 430 15 : : PUNCT fis-4238 430 16 relative relative ADJ fis-4238 430 17 errors error NOUN fis-4238 430 18 ( ( PUNCT fis-4238 430 19 re re NOUN fis-4238 430 20 ) ) PUNCT fis-4238 430 21 related relate VERB fis-4238 430 22 to to PART fis-4238 430 23 lower low ADJ fis-4238 430 24 bound bind VERB fis-4238 430 25 ( ( PUNCT fis-4238 430 26 lb lb NOUN fis-4238 430 27 ) ) PUNCT fis-4238 430 28 , , PUNCT fis-4238 430 29 upper upper ADJ fis-4238 430 30 bound bound ADJ fis-4238 430 31 ( ( PUNCT fis-4238 430 32 ub ub ADJ fis-4238 430 33 ) ) PUNCT fis-4238 430 34 , , PUNCT fis-4238 430 35 and and CCONJ fis-4238 430 36 mean mean VERB fis-4238 430 37 , , PUNCT fis-4238 430 38 besides besides SCONJ fis-4238 430 39 the the DET fis-4238 430 40 coefficient coefficient NOUN fis-4238 430 41 of of ADP fis-4238 430 42 variation variation NOUN fis-4238 430 43 ( ( PUNCT fis-4238 430 44 cov cov NOUN fis-4238 430 45 ) ) PUNCT fis-4238 430 46 of of ADP fis-4238 430 47 the the DET fis-4238 430 48 main main ADJ fis-4238 430 49 parameters parameter NOUN fis-4238 430 50 . . PUNCT fis-4238 431 1 in in ADP fis-4238 431 2 what what PRON fis-4238 431 3 refers refer VERB fis-4238 431 4 to to ADP fis-4238 431 5 the the DET fis-4238 431 6 convergence convergence NOUN fis-4238 431 7 of of ADP fis-4238 431 8 the the DET fis-4238 431 9 means mean NOUN fis-4238 431 10 of of ADP fis-4238 431 11 the the DET fis-4238 431 12 uiqs uiqs NOUN fis-4238 431 13 related relate VERB fis-4238 431 14 to to ADP fis-4238 431 15 their their PRON fis-4238 431 16 deterministic deterministic ADJ fis-4238 431 17 values value NOUN fis-4238 431 18 , , PUNCT fis-4238 431 19 a a DET fis-4238 431 20 certain certain ADJ fis-4238 431 21 degree degree NOUN fis-4238 431 22 of of ADP fis-4238 431 23 stabilization stabilization NOUN fis-4238 431 24 of of ADP fis-4238 431 25 the the DET fis-4238 431 26 means mean NOUN fis-4238 431 27 is be AUX fis-4238 431 28 achieved achieve VERB fis-4238 431 29 and and CCONJ fis-4238 431 30 the the DET fis-4238 431 31 adoption adoption NOUN fis-4238 431 32 of of ADP fis-4238 431 33 a a DET fis-4238 431 34 criteria criterion NOUN fis-4238 431 35 of of ADP fis-4238 431 36   NOUN fis-4238 431 37 41 41 NUM fis-4238 431 38     SPACE fis-4238 431 39 10 10 NUM fis-4238 431 40     SPACE fis-4238 431 41 % % NOUN fis-4238 431 42 is be AUX fis-4238 431 43 verified verify VERB fis-4238 431 44 only only ADV fis-4238 431 45 at at ADP fis-4238 431 46   PROPN fis-4238 431 47 3957rn 3957rn ADJ fis-4238 431 48 , , PUNCT fis-4238 431 49   PROPN fis-4238 431 50 9787rn 9787rn NOUN fis-4238 431 51 , , PUNCT fis-4238 431 52   PROPN fis-4238 431 53 3662rn 3662rn NOUN fis-4238 431 54 , , PUNCT fis-4238 431 55 and and CCONJ fis-4238 431 56   ADJ fis-4238 431 57 3888rn 3888rn ADJ fis-4238 431 58 realizations realization NOUN fis-4238 431 59 for for ADP fis-4238 431 60 uiqs uiqs ADJ fis-4238 431 61 m m PROPN fis-4238 431 62 , , PUNCT fis-4238 431 63 0a 0a PROPN fis-4238 431 64 , , PUNCT fis-4238 431 65 t t NOUN fis-4238 431 66 , , PUNCT fis-4238 431 67 and and CCONJ fis-4238 431 68 d d NOUN fis-4238 431 69 , , PUNCT fis-4238 431 70 respectively respectively ADV fis-4238 431 71 . . PUNCT fis-4238 432 1 in in ADP fis-4238 432 2 the the DET fis-4238 432 3 context context NOUN fis-4238 432 4 of of ADP fis-4238 432 5 these these DET fis-4238 432 6 simulations simulation NOUN fis-4238 432 7 , , PUNCT fis-4238 432 8 the the DET fis-4238 432 9 generated generate VERB fis-4238 432 10 information information NOUN fis-4238 432 11 leads lead VERB fis-4238 432 12 to to ADP fis-4238 432 13 the the DET fis-4238 432 14 conclusion conclusion NOUN fis-4238 432 15 that that SCONJ fis-4238 432 16 0a 0a PROPN fis-4238 432 17 is be AUX fis-4238 432 18 the the DET fis-4238 432 19 most most ADV fis-4238 432 20 restrictive restrictive ADJ fis-4238 432 21 parameter parameter NOUN fis-4238 432 22 aiming aim VERB fis-4238 432 23 at at ADP fis-4238 432 24 reducing reduce VERB fis-4238 432 25 the the DET fis-4238 432 26 computational computational ADJ fis-4238 432 27 effort effort NOUN fis-4238 432 28 involved involve VERB fis-4238 432 29 . . PUNCT fis-4238 433 1 in in ADP fis-4238 433 2 view view NOUN fis-4238 433 3 of of ADP fis-4238 433 4 this this PRON fis-4238 433 5 , , PUNCT fis-4238 433 6 the the DET fis-4238 433 7 number number NOUN fis-4238 433 8 of of ADP fis-4238 433 9 realizations realization NOUN fis-4238 433 10 was be AUX fis-4238 433 11 selected select VERB fis-4238 433 12 to to PART fis-4238 433 13 be be AUX fis-4238 433 14 10000 10000 NUM fis-4238 433 15 . . PUNCT fis-4238 434 1 in in ADP fis-4238 434 2 addition addition NOUN fis-4238 434 3 to to ADP fis-4238 434 4 the the DET fis-4238 434 5 bi bi ADJ fis-4238 434 6 - - ADJ fis-4238 434 7 level level NOUN fis-4238 434 8 sensitivity sensitivity NOUN fis-4238 434 9 analysis analysis NOUN fis-4238 434 10 ( ( PUNCT fis-4238 434 11 sa sa NOUN fis-4238 434 12 ) ) PUNCT fis-4238 434 13 performed perform VERB fis-4238 434 14 , , PUNCT fis-4238 434 15 graphical graphical ADJ fis-4238 434 16 sas sa NOUN fis-4238 434 17 are be AUX fis-4238 434 18 presented present VERB fis-4238 434 19 in in ADP fis-4238 434 20 figs fig NOUN fis-4238 434 21 . . PUNCT fis-4238 435 1 8 8 NUM fis-4238 435 2 and and CCONJ fis-4238 435 3 9 9 NUM fis-4238 435 4 . . PUNCT fis-4238 436 1 these these DET fis-4238 436 2 scatter scatter NOUN fis-4238 436 3 plots plot NOUN fis-4238 436 4 represent represent VERB fis-4238 436 5 a a DET fis-4238 436 6 mapping mapping NOUN fis-4238 436 7 of of ADP fis-4238 436 8 how how SCONJ fis-4238 436 9 the the DET fis-4238 436 10 uiqs uiqs ADJ fis-4238 436 11 influence influence NOUN fis-4238 436 12 the the DET fis-4238 436 13 behavior behavior NOUN fis-4238 436 14 of of ADP fis-4238 436 15 the the DET fis-4238 436 16 main main ADJ fis-4238 436 17 srq srq NOUN fis-4238 436 18 n n PROPN fis-4238 436 19 , , PUNCT fis-4238 436 20 which which PRON fis-4238 436 21 may may AUX fis-4238 436 22 help help VERB fis-4238 436 23 in in ADP fis-4238 436 24 decision decision NOUN fis-4238 436 25 making make VERB fis-4238 436 26 processes process NOUN fis-4238 436 27 related relate VERB fis-4238 436 28 to to ADP fis-4238 436 29 mechanical mechanical ADJ fis-4238 436 30 design design NOUN fis-4238 436 31 and and CCONJ fis-4238 436 32 enable enable ADJ fis-4238 436 33 studies study NOUN fis-4238 436 34 to to PART fis-4238 436 35 reduce reduce VERB fis-4238 436 36 the the DET fis-4238 436 37 dispersion dispersion NOUN fis-4238 436 38 based base VERB fis-4238 436 39 on on ADP fis-4238 436 40 the the DET fis-4238 436 41 obtained obtain VERB fis-4238 436 42 information information NOUN fis-4238 436 43 . . PUNCT fis-4238 437 1 these these DET fis-4238 437 2 plots plot NOUN fis-4238 437 3 also also ADV fis-4238 437 4 address address VERB fis-4238 437 5 the the DET fis-4238 437 6 degree degree NOUN fis-4238 437 7 of of ADP fis-4238 437 8 dependence dependence NOUN fis-4238 437 9 of of ADP fis-4238 437 10 n n CCONJ fis-4238 437 11 related relate VERB fis-4238 437 12 to to ADP fis-4238 437 13 the the DET fis-4238 437 14 involved involved ADJ fis-4238 437 15 uiqs uiqs NOUN fis-4238 437 16 , , PUNCT fis-4238 437 17 which which PRON fis-4238 437 18 can can AUX fis-4238 437 19 be be AUX fis-4238 437 20 represented represent VERB fis-4238 437 21 herein herein NOUN fis-4238 437 22 by by ADP fis-4238 437 23 the the DET fis-4238 437 24 correlation correlation NOUN fis-4238 437 25 coefficient coefficient NOUN fis-4238 437 26 . . PUNCT fis-4238 438 1 tab tab NOUN fis-4238 438 2 . . PUNCT fis-4238 439 1 6 6 NUM fis-4238 439 2 presents present VERB fis-4238 439 3 the the DET fis-4238 439 4 correlation correlation NOUN fis-4238 439 5 coefficients coefficient NOUN fis-4238 439 6 corresponding correspond VERB fis-4238 439 7 to to ADP fis-4238 439 8 the the DET fis-4238 439 9 influence influence NOUN fis-4238 439 10 of of ADP fis-4238 439 11 the the DET fis-4238 439 12 uiqs uiqs ADJ fis-4238 439 13 m m PROPN fis-4238 439 14 , , PUNCT fis-4238 439 15 0a 0a PROPN fis-4238 439 16 , , PUNCT fis-4238 439 17 t t NOUN fis-4238 439 18 , , PUNCT fis-4238 439 19 and and CCONJ fis-4238 439 20 d d X fis-4238 439 21 on on ADP fis-4238 439 22 the the DET fis-4238 439 23 levels level NOUN fis-4238 439 24 corresponding correspond VERB fis-4238 439 25 to to ADP fis-4238 439 26 their their PRON fis-4238 439 27 interaction interaction NOUN fis-4238 439 28 with with ADP fis-4238 439 29 the the DET fis-4238 439 30 srqs srqs PROPN fis-4238 439 31 rs rs NOUN fis-4238 439 32 , , PUNCT fis-4238 439 33 rk rk INTJ fis-4238 439 34 , , PUNCT fis-4238 439 35 /da /da PUNCT fis-4238 440 1 dn dn NOUN fis-4238 440 2 , , PUNCT fis-4238 440 3 and and CCONJ fis-4238 440 4 n n CCONJ fis-4238 440 5 . . PUNCT fis-4238 441 1 from from ADP fis-4238 441 2 this this DET fis-4238 441 3 table table NOUN fis-4238 441 4 , , PUNCT fis-4238 441 5 when when SCONJ fis-4238 441 6 m m NOUN fis-4238 441 7 goes go VERB fis-4238 441 8 from from ADP fis-4238 441 9 the the DET fis-4238 441 10 first first ADJ fis-4238 441 11 to to ADP fis-4238 441 12 the the DET fis-4238 441 13 second second ADJ fis-4238 441 14 level level NOUN fis-4238 441 15 , , PUNCT fis-4238 441 16 the the DET fis-4238 441 17 correlation correlation NOUN fis-4238 441 18 is be AUX fis-4238 441 19 incremented incremente VERB fis-4238 441 20 significantly significantly ADV fis-4238 441 21 by by ADP fis-4238 441 22 323.5 323.5 NUM fis-4238 441 23 % % NOUN fis-4238 441 24 . . PUNCT fis-4238 442 1 however however ADV fis-4238 442 2 , , PUNCT fis-4238 442 3 the the DET fis-4238 442 4 r. r. PROPN fis-4238 442 5 b. b. PROPN fis-4238 442 6 p. p. PROPN fis-4238 442 7 nonato nonato PROPN fis-4238 442 8 , , PUNCT fis-4238 442 9 frattura frattura PROPN fis-4238 442 10 ed ed PROPN fis-4238 442 11 integrità integrità PROPN fis-4238 442 12 strutturale strutturale PROPN fis-4238 442 13 , , PUNCT fis-4238 442 14 65 65 NUM fis-4238 442 15 ( ( PUNCT fis-4238 442 16 2023 2023 NUM fis-4238 442 17 ) ) PUNCT fis-4238 442 18 17 17 NUM fis-4238 442 19 - - SYM fis-4238 442 20 37 37 NUM fis-4238 442 21 ; ; PUNCT fis-4238 442 22 doi doi NOUN fis-4238 442 23 : : PUNCT fis-4238 442 24 10.3221 10.3221 NUM fis-4238 442 25 / / SYM fis-4238 442 26 igf igf PROPN fis-4238 442 27 - - ADJ fis-4238 442 28 esis.66.02 esis.66.02 PROPN fis-4238 442 29 32 32 NUM fis-4238 442 30 correlation correlation NOUN fis-4238 442 31 yet yet ADV fis-4238 442 32 remains remain VERB fis-4238 442 33 at at ADP fis-4238 442 34 a a DET fis-4238 442 35 low low ADJ fis-4238 442 36 level level NOUN fis-4238 442 37 . . PUNCT fis-4238 443 1 in in ADP fis-4238 443 2 what what PRON fis-4238 443 3 refers refer VERB fis-4238 443 4 to to ADP fis-4238 443 5 0a 0a PROPN fis-4238 443 6 , , PUNCT fis-4238 443 7 there there PRON fis-4238 443 8 is be VERB fis-4238 443 9 not not PART fis-4238 443 10 a a DET fis-4238 443 11 considerable considerable ADJ fis-4238 443 12 increment increment NOUN fis-4238 443 13 from from ADP fis-4238 443 14 the the DET fis-4238 443 15 first first ADJ fis-4238 443 16 to to ADP fis-4238 443 17 the the DET fis-4238 443 18 second second ADJ fis-4238 443 19 level level NOUN fis-4238 443 20 , , PUNCT fis-4238 443 21 but but CCONJ fis-4238 443 22 from from ADP fis-4238 443 23 the the DET fis-4238 443 24 second second ADJ fis-4238 443 25 to to ADP fis-4238 443 26 the the DET fis-4238 443 27 third third ADJ fis-4238 443 28 level level NOUN fis-4238 443 29 , , PUNCT fis-4238 443 30 the the DET fis-4238 443 31 correlation correlation NOUN fis-4238 443 32 not not PART fis-4238 443 33 only only ADV fis-4238 443 34 reduces reduce VERB fis-4238 443 35 to to ADP fis-4238 443 36 18.6 18.6 NUM fis-4238 443 37 % % NOUN fis-4238 443 38 of of ADP fis-4238 443 39 its its PRON fis-4238 443 40 contribution contribution NOUN fis-4238 443 41 in in ADP fis-4238 443 42 the the DET fis-4238 443 43 second second ADJ fis-4238 443 44 level level NOUN fis-4238 443 45 , , PUNCT fis-4238 443 46 but but CCONJ fis-4238 443 47 also also ADV fis-4238 443 48 becomes become VERB fis-4238 443 49 negative negative ADJ fis-4238 443 50 . . PUNCT fis-4238 444 1 the the DET fis-4238 444 2 correlation correlation NOUN fis-4238 444 3 coefficients coefficient NOUN fis-4238 444 4 that that PRON fis-4238 444 5 describe describe VERB fis-4238 444 6 the the DET fis-4238 444 7 behavior behavior NOUN fis-4238 444 8 of of ADP fis-4238 444 9 t t PROPN fis-4238 444 10 related relate VERB fis-4238 444 11 to to ADP fis-4238 444 12 the the DET fis-4238 444 13 first first ADJ fis-4238 444 14 , , PUNCT fis-4238 444 15 second second ADJ fis-4238 444 16 , , PUNCT fis-4238 444 17 and and CCONJ fis-4238 444 18 third third ADJ fis-4238 444 19 levels level NOUN fis-4238 444 20 maintain maintain VERB fis-4238 444 21 their their PRON fis-4238 444 22 tendency tendency NOUN fis-4238 444 23 to to ADP fis-4238 444 24 low low ADJ fis-4238 444 25 contribution contribution NOUN fis-4238 444 26 to to ADP fis-4238 444 27 the the DET fis-4238 444 28 srqs srqs PROPN fis-4238 444 29 involved involve VERB fis-4238 444 30 in in ADP fis-4238 444 31 these these DET fis-4238 444 32 levels level NOUN fis-4238 444 33 . . PUNCT fis-4238 445 1 the the DET fis-4238 445 2 fourth fourth ADJ fis-4238 445 3 is be AUX fis-4238 445 4 300.2 300.2 NUM fis-4238 445 5 % % NOUN fis-4238 445 6 higher high ADJ fis-4238 445 7 than than ADP fis-4238 445 8 the the DET fis-4238 445 9 third third ADJ fis-4238 445 10 , , PUNCT fis-4238 445 11 becoming become VERB fis-4238 445 12 more more ADV fis-4238 445 13 representative representative ADJ fis-4238 445 14 in in ADP fis-4238 445 15 the the DET fis-4238 445 16 last last ADJ fis-4238 445 17 level level NOUN fis-4238 445 18 . . PUNCT fis-4238 446 1 finally finally ADV fis-4238 446 2 , , PUNCT fis-4238 446 3 d d PRON fis-4238 446 4 is be AUX fis-4238 446 5 an an DET fis-4238 446 6 example example NOUN fis-4238 446 7 of of ADP fis-4238 446 8 uiq uiq NOUN fis-4238 446 9 that that PRON fis-4238 446 10 starts start VERB fis-4238 446 11 with with ADP fis-4238 446 12 a a DET fis-4238 446 13 low low ADJ fis-4238 446 14 influence influence NOUN fis-4238 446 15 over over ADP fis-4238 446 16 the the DET fis-4238 446 17 srq srq NOUN fis-4238 446 18 of of ADP fis-4238 446 19 the the DET fis-4238 446 20 first first ADJ fis-4238 446 21 level level NOUN fis-4238 446 22 and and CCONJ fis-4238 446 23 finishes finish VERB fis-4238 446 24 the the DET fis-4238 446 25 calculation calculation NOUN fis-4238 446 26 with with ADP fis-4238 446 27 a a DET fis-4238 446 28 low low ADJ fis-4238 446 29 contribution contribution NOUN fis-4238 446 30 too too ADV fis-4238 446 31 . . PUNCT fis-4238 447 1 in in ADP fis-4238 447 2 a a DET fis-4238 447 3 general general ADJ fis-4238 447 4 manner manner NOUN fis-4238 447 5 , , PUNCT fis-4238 447 6 at at ADP fis-4238 447 7 fourth fourth ADJ fis-4238 447 8 level level NOUN fis-4238 447 9 , , PUNCT fis-4238 447 10 there there PRON fis-4238 447 11 is be VERB fis-4238 447 12 a a DET fis-4238 447 13 weak weak ADJ fis-4238 447 14 correlation correlation NOUN fis-4238 447 15 between between ADP fis-4238 447 16 the the DET fis-4238 447 17 uiqs uiqs NOUN fis-4238 447 18 introduced introduce VERB fis-4238 447 19 in in ADP fis-4238 447 20 the the DET fis-4238 447 21 first first ADJ fis-4238 447 22 level level NOUN fis-4238 447 23 . . PUNCT fis-4238 448 1 figure figure NOUN fis-4238 448 2 8 8 NUM fis-4238 448 3 : : PUNCT fis-4238 448 4 scatter scatter NOUN fis-4238 448 5 plots plot NOUN fis-4238 448 6 ( ( PUNCT fis-4238 448 7 graphical graphical ADJ fis-4238 448 8 sensitivity sensitivity NOUN fis-4238 448 9 analyses analysis NOUN fis-4238 448 10 ) ) PUNCT fis-4238 448 11 of of ADP fis-4238 448 12 the the DET fis-4238 448 13 uiqs uiqs ADJ fis-4238 448 14 m m PROPN fis-4238 448 15 and and CCONJ fis-4238 448 16 t t PROPN fis-4238 448 17 related relate VERB fis-4238 448 18 to to ADP fis-4238 448 19 the the DET fis-4238 448 20 srq srq PROPN fis-4238 448 21 n n CCONJ fis-4238 448 22 ( ( PUNCT fis-4238 448 23 element element NOUN fis-4238 448 24 2 2 NUM fis-4238 448 25 as as ADP fis-4238 448 26 sample sample NOUN fis-4238 448 27 ) ) PUNCT fis-4238 448 28 . . PUNCT fis-4238 449 1 figure figure VERB fis-4238 449 2 9 9 NUM fis-4238 449 3 : : PUNCT fis-4238 449 4 scatter scatter NOUN fis-4238 449 5 plots plot NOUN fis-4238 449 6 ( ( PUNCT fis-4238 449 7 graphical graphical ADJ fis-4238 449 8 sensitivity sensitivity NOUN fis-4238 449 9 analyses analysis NOUN fis-4238 449 10 ) ) PUNCT fis-4238 449 11 of of ADP fis-4238 449 12 the the DET fis-4238 449 13 uiqs uiqs ADJ fis-4238 449 14 0a 0a PROPN fis-4238 449 15 and and CCONJ fis-4238 449 16 d d X fis-4238 449 17 related relate VERB fis-4238 449 18 to to ADP fis-4238 449 19 the the DET fis-4238 449 20 srq srq PROPN fis-4238 449 21 n n CCONJ fis-4238 449 22 ( ( PUNCT fis-4238 449 23 element element NOUN fis-4238 449 24 2 2 NUM fis-4238 449 25 as as ADP fis-4238 449 26 sample sample NOUN fis-4238 449 27 ) ) PUNCT fis-4238 449 28 . . PUNCT fis-4238 450 1 r. r. PROPN fis-4238 450 2 b. b. PROPN fis-4238 450 3 p. p. PROPN fis-4238 450 4 nonato nonato PROPN fis-4238 450 5 , , PUNCT fis-4238 450 6 frattura frattura PROPN fis-4238 450 7 ed ed PROPN fis-4238 450 8 integrità integrità PROPN fis-4238 450 9 strutturale strutturale PROPN fis-4238 450 10 , , PUNCT fis-4238 450 11 65 65 NUM fis-4238 450 12 ( ( PUNCT fis-4238 450 13 2023 2023 NUM fis-4238 450 14 ) ) PUNCT fis-4238 450 15 17 17 NUM fis-4238 450 16 - - SYM fis-4238 450 17 37 37 NUM fis-4238 450 18 ; ; PUNCT fis-4238 450 19 doi doi NOUN fis-4238 450 20 : : PUNCT fis-4238 450 21 10.3221 10.3221 NUM fis-4238 450 22 / / SYM fis-4238 450 23 igf igf PROPN fis-4238 450 24 - - NOUN fis-4238 450 25 esis.66.02 esis.66.02 NOUN fis-4238 450 26 33 33 NUM fis-4238 450 27 parameter parameter NOUN fis-4238 450 28 rs rs INTJ fis-4238 450 29 rk rk NOUN fis-4238 450 30 /da /da PUNCT fis-4238 451 1 dn dn VERB fis-4238 451 2 n n ADV fis-4238 451 3 m m VERB fis-4238 451 4 not not PART fis-4238 451 5 applicable applicable ADJ fis-4238 451 6 not not PART fis-4238 451 7 applicable applicable ADJ fis-4238 451 8 -0.0053 -0.0053 ADJ fis-4238 451 9 ( ( PUNCT fis-4238 451 10 level level NOUN fis-4238 451 11 1 1 NUM fis-4238 451 12 ) ) PUNCT fis-4238 451 13 -0.0223 -0.0223 NOUN fis-4238 452 1 ( ( PUNCT fis-4238 452 2 level level NOUN fis-4238 452 3 2 2 NUM fis-4238 452 4 ) ) PUNCT fis-4238 452 5 0a 0a PROPN fis-4238 452 6 ( ( PUNCT fis-4238 452 7 mm mm NOUN fis-4238 452 8 ) ) PUNCT fis-4238 452 9 not not PART fis-4238 452 10 applicable applicable ADJ fis-4238 452 11 0.7271 0.7271 NUM fis-4238 452 12 ( ( PUNCT fis-4238 452 13 level level NOUN fis-4238 452 14 1 1 NUM fis-4238 452 15 ) ) PUNCT fis-4238 452 16 0.7314 0.7314 NUM fis-4238 452 17 ( ( PUNCT fis-4238 452 18 level level NOUN fis-4238 452 19 2 2 NUM fis-4238 452 20 ) ) PUNCT fis-4238 452 21 -0.1362 -0.1362 NOUN fis-4238 453 1 ( ( PUNCT fis-4238 453 2 level level NOUN fis-4238 453 3 3 3 NUM fis-4238 453 4 ) ) PUNCT fis-4238 453 5   NOUN fis-4238 453 6 mmt mmt PROPN fis-4238 453 7 -0.0114 -0.0114 PROPN fis-4238 453 8 ( ( PUNCT fis-4238 453 9 level level NOUN fis-4238 453 10 1 1 NUM fis-4238 453 11 ) ) PUNCT fis-4238 453 12 0.0211 0.0211 NUM fis-4238 453 13 ( ( PUNCT fis-4238 453 14 level level NOUN fis-4238 453 15 2 2 NUM fis-4238 453 16 ) ) PUNCT fis-4238 453 17 0.0196 0.0196 NUM fis-4238 453 18 ( ( PUNCT fis-4238 453 19 level level NOUN fis-4238 453 20 3 3 NUM fis-4238 453 21 ) ) PUNCT fis-4238 453 22 0.0785 0.0785 NUM fis-4238 453 23 ( ( PUNCT fis-4238 453 24 level level NOUN fis-4238 453 25 4 4 NUM fis-4238 453 26 ) ) PUNCT fis-4238 453 27   NOUN fis-4238 453 28 mmd mmd NOUN fis-4238 454 1 0.0051 0.0051 NUM fis-4238 454 2 ( ( PUNCT fis-4238 454 3 level level NOUN fis-4238 454 4 1 1 NUM fis-4238 454 5 ) ) PUNCT fis-4238 454 6 0.0137 0.0137 NUM fis-4238 454 7 ( ( PUNCT fis-4238 454 8 level level NOUN fis-4238 454 9 2 2 NUM fis-4238 454 10 ) ) PUNCT fis-4238 454 11 0.0129 0.0129 NUM fis-4238 454 12 ( ( PUNCT fis-4238 454 13 level level NOUN fis-4238 454 14 3 3 NUM fis-4238 454 15 ) ) PUNCT fis-4238 454 16 0.0054 0.0054 NUM fis-4238 454 17 ( ( PUNCT fis-4238 454 18 level level NOUN fis-4238 454 19 4 4 NUM fis-4238 454 20 ) ) PUNCT fis-4238 454 21 table table NOUN fis-4238 454 22 6 6 NUM fis-4238 454 23 : : PUNCT fis-4238 454 24 correlation correlation NOUN fis-4238 454 25 coefficients coefficient NOUN fis-4238 454 26 between between ADP fis-4238 454 27 uiqs uiqs ADJ fis-4238 454 28 and and CCONJ fis-4238 454 29 srqs srqs PROPN fis-4238 454 30 ( ( PUNCT fis-4238 454 31 parameters parameter NOUN fis-4238 454 32 ) ) PUNCT fis-4238 454 33 in in ADP fis-4238 454 34 different different ADJ fis-4238 454 35 levels level NOUN fis-4238 454 36 . . PUNCT fis-4238 455 1 based base VERB fis-4238 455 2 on on ADP fis-4238 455 3 the the DET fis-4238 455 4 information information NOUN fis-4238 455 5 given give VERB fis-4238 455 6 by by ADP fis-4238 455 7 tabs tab NOUN fis-4238 455 8 . . PUNCT fis-4238 455 9 5 5 NUM fis-4238 455 10 and and CCONJ fis-4238 455 11 6 6 NUM fis-4238 455 12 , , PUNCT fis-4238 455 13 it it PRON fis-4238 455 14 can can AUX fis-4238 455 15 be be AUX fis-4238 455 16 observed observe VERB fis-4238 455 17 that that SCONJ fis-4238 455 18 the the DET fis-4238 455 19 highest high ADJ fis-4238 455 20 standard standard ADJ fis-4238 455 21 dispersion dispersion NOUN fis-4238 455 22 ( ( PUNCT fis-4238 455 23 cov cov NOUN fis-4238 455 24 ) ) PUNCT fis-4238 455 25 and and CCONJ fis-4238 455 26 the the DET fis-4238 455 27 highest high ADJ fis-4238 455 28 correlation correlation NOUN fis-4238 455 29 coefficients coefficient NOUN fis-4238 455 30 concomitantly concomitantly ADV fis-4238 455 31 come come VERB fis-4238 455 32 from from ADP fis-4238 455 33 uiq uiq PROPN fis-4238 455 34 0a 0a PROPN fis-4238 455 35 , , PUNCT fis-4238 455 36 which which PRON fis-4238 455 37 is be AUX fis-4238 455 38 also also ADV fis-4238 455 39 the the DET fis-4238 455 40 least least ADJ fis-4238 455 41 efficient efficient ADJ fis-4238 455 42 in in ADP fis-4238 455 43 recovering recover VERB fis-4238 455 44 the the DET fis-4238 455 45 information information NOUN fis-4238 455 46 of of ADP fis-4238 455 47 the the DET fis-4238 455 48 expected expect VERB fis-4238 455 49 value value NOUN fis-4238 455 50 , , PUNCT fis-4238 455 51 lower low ADJ fis-4238 455 52 and and CCONJ fis-4238 455 53 upper upper ADJ fis-4238 455 54 bounds bound NOUN fis-4238 455 55 . . PUNCT fis-4238 456 1 according accord VERB fis-4238 456 2 to to ADP fis-4238 456 3 these these DET fis-4238 456 4 same same ADJ fis-4238 456 5 criteria criterion NOUN fis-4238 456 6 , , PUNCT fis-4238 456 7 uiq uiq PROPN fis-4238 456 8 t t PROPN fis-4238 456 9 is be AUX fis-4238 456 10 in in ADP fis-4238 456 11 the the DET fis-4238 456 12 second second ADJ fis-4238 456 13 position position NOUN fis-4238 456 14 because because SCONJ fis-4238 456 15 it it PRON fis-4238 456 16 has have VERB fis-4238 456 17 the the DET fis-4238 456 18 second second ADJ fis-4238 456 19 highest high ADJ fis-4238 456 20 cov cov NOUN fis-4238 456 21 and and CCONJ fis-4238 456 22 correlation correlation NOUN fis-4238 456 23 coefficient coefficient NOUN fis-4238 456 24 concomitantly concomitantly ADV fis-4238 456 25 . . PUNCT fis-4238 457 1 comparing compare VERB fis-4238 457 2 m m PROPN fis-4238 457 3 with with ADP fis-4238 457 4 d d PROPN fis-4238 457 5 , , PUNCT fis-4238 457 6 the the DET fis-4238 457 7 simulations simulation NOUN fis-4238 457 8 retrieve retrieve VERB fis-4238 457 9 the the DET fis-4238 457 10 information information NOUN fis-4238 457 11 with with ADP fis-4238 457 12 more more ADJ fis-4238 457 13 accuracy accuracy NOUN fis-4238 457 14 in in ADP fis-4238 457 15 the the DET fis-4238 457 16 former former NOUN fis-4238 457 17 , , PUNCT fis-4238 457 18 with with ADP fis-4238 457 19 a a DET fis-4238 457 20 lower low ADJ fis-4238 457 21 cov cov NOUN fis-4238 457 22 , , PUNCT fis-4238 457 23 but but CCONJ fis-4238 457 24 higher high ADJ fis-4238 457 25 correlation correlation NOUN fis-4238 457 26 coefficient coefficient NOUN fis-4238 457 27 in in ADP fis-4238 457 28 the the DET fis-4238 457 29 fourth fourth ADJ fis-4238 457 30 level level NOUN fis-4238 457 31 with with ADP fis-4238 457 32 the the DET fis-4238 457 33 srq srq NOUN fis-4238 457 34 n n PROPN fis-4238 457 35 . . PUNCT fis-4238 458 1 as as ADP fis-4238 458 2 the the DET fis-4238 458 3 second second ADJ fis-4238 458 4 stage stage NOUN fis-4238 458 5 of of ADP fis-4238 458 6 the the DET fis-4238 458 7 sas sa NOUN fis-4238 458 8 performed perform VERB fis-4238 458 9 in in ADP fis-4238 458 10 this this DET fis-4238 458 11 paper paper NOUN fis-4238 458 12 , , PUNCT fis-4238 458 13 the the DET fis-4238 458 14 first first ADJ fis-4238 458 15 - - PUNCT fis-4238 458 16 order order NOUN fis-4238 458 17 indices index NOUN fis-4238 458 18 were be AUX fis-4238 458 19 calculated calculate VERB fis-4238 458 20 related relate VERB fis-4238 458 21 to to ADP fis-4238 458 22 the the DET fis-4238 458 23 srq srq NOUN fis-4238 458 24 n n PROPN fis-4238 458 25 in in ADP fis-4238 458 26 order order NOUN fis-4238 458 27 to to PART fis-4238 458 28 reproduce reproduce VERB fis-4238 458 29 the the DET fis-4238 458 30 main main ADJ fis-4238 458 31 effect effect NOUN fis-4238 458 32 contribution contribution NOUN fis-4238 458 33 of of ADP fis-4238 458 34 each each DET fis-4238 458 35 uiq uiq ADJ fis-4238 458 36 ( ( PUNCT fis-4238 458 37 m m PROPN fis-4238 458 38 , , PUNCT fis-4238 458 39 0a 0a PROPN fis-4238 458 40 , , PUNCT fis-4238 458 41 t t NOUN fis-4238 458 42 , , PUNCT fis-4238 458 43 and and CCONJ fis-4238 458 44 d d NOUN fis-4238 458 45 ) ) PUNCT fis-4238 458 46 to to ADP fis-4238 458 47 the the DET fis-4238 458 48 variance variance NOUN fis-4238 458 49 of of ADP fis-4238 458 50 the the DET fis-4238 458 51 referred refer VERB fis-4238 458 52 srq srq NOUN fis-4238 458 53 . . PUNCT fis-4238 459 1 this this DET fis-4238 459 2 calculation calculation NOUN fis-4238 459 3 yields yield VERB fis-4238 459 4 the the DET fis-4238 459 5 following follow VERB fis-4238 459 6 rank rank NOUN fis-4238 459 7 of of ADP fis-4238 459 8 first first ADJ fis-4238 459 9 - - PUNCT fis-4238 459 10 order order NOUN fis-4238 459 11 sensitivity sensitivity NOUN fis-4238 459 12 indices index NOUN fis-4238 459 13 , , PUNCT fis-4238 459 14 in in ADP fis-4238 459 15 descending descend VERB fis-4238 459 16 order order NOUN fis-4238 459 17 : : PUNCT fis-4238 459 18 ( ( PUNCT fis-4238 459 19 a a X fis-4238 459 20 ) ) PUNCT fis-4238 459 21   PROPN fis-4238 459 22 0.9754ms 0.9754ms NUM fis-4238 459 23 ; ; PUNCT fis-4238 459 24 ( ( PUNCT fis-4238 459 25 b b X fis-4238 459 26 ) ) PUNCT fis-4238 459 27   NOUN fis-4238 459 28 0.9722ds 0.9722ds NUM fis-4238 460 1 ; ; PUNCT fis-4238 460 2 ( ( PUNCT fis-4238 460 3 c c X fis-4238 460 4 ) ) PUNCT fis-4238 460 5   NUM fis-4238 460 6 0.6033ts 0.6033ts PUNCT fis-4238 460 7 ; ; PUNCT fis-4238 460 8 and and CCONJ fis-4238 460 9 ( ( PUNCT fis-4238 460 10 d d X fis-4238 460 11 ) ) PUNCT fis-4238 461 1   NOUN fis-4238 461 2 0 0 PUNCT fis-4238 462 1 0.4014as 0.4014as X fis-4238 462 2 . . PUNCT fis-4238 463 1 in in ADP fis-4238 463 2 other other ADJ fis-4238 463 3 words word NOUN fis-4238 463 4 , , PUNCT fis-4238 463 5 the the DET fis-4238 463 6 most most ADV fis-4238 463 7 impacting impacting ADJ fis-4238 463 8 uiq uiq ADJ fis-4238 463 9 in in ADP fis-4238 463 10 the the DET fis-4238 463 11 srq srq NOUN fis-4238 463 12 variance variance NOUN fis-4238 463 13 is be AUX fis-4238 463 14 m m VERB fis-4238 463 15 similar similar ADJ fis-4238 463 16 to to ADP fis-4238 463 17 the the DET fis-4238 463 18 contribution contribution NOUN fis-4238 463 19 of of ADP fis-4238 463 20 d d PROPN fis-4238 463 21 . . PUNCT fis-4238 464 1 on on ADP fis-4238 464 2 the the DET fis-4238 464 3 other other ADJ fis-4238 464 4 hand hand NOUN fis-4238 464 5 , , PUNCT fis-4238 464 6 uiq uiq ADJ fis-4238 464 7 0a 0a PROPN fis-4238 464 8 is be AUX fis-4238 464 9 the the DET fis-4238 464 10 least least ADV fis-4238 464 11 significant significant ADJ fis-4238 464 12 to to ADP fis-4238 464 13 the the DET fis-4238 464 14 variance variance NOUN fis-4238 464 15 of of ADP fis-4238 464 16 the the DET fis-4238 464 17 srq srq PROPN fis-4238 464 18 n n PROPN fis-4238 464 19 . . PUNCT fis-4238 465 1 in in ADP fis-4238 465 2 what what PRON fis-4238 465 3 refers refer VERB fis-4238 465 4 to to ADP fis-4238 465 5 design design NOUN fis-4238 465 6 boundaries boundary NOUN fis-4238 465 7 , , PUNCT fis-4238 465 8 fig fig NOUN fis-4238 465 9 . . PUNCT fis-4238 466 1 10 10 NUM fis-4238 466 2 illustrates illustrate VERB fis-4238 466 3 the the DET fis-4238 466 4 behavior behavior NOUN fis-4238 466 5 of of ADP fis-4238 466 6 srq srq PROPN fis-4238 466 7 /da /da PUNCT fis-4238 467 1 dn dn VERB fis-4238 467 2 with with ADP fis-4238 467 3 respect respect NOUN fis-4238 467 4 to to AUX fis-4238 467 5 uiq uiq VERB fis-4238 467 6 rk rk PROPN fis-4238 467 7 , , PUNCT fis-4238 467 8 which which PRON fis-4238 467 9 is be AUX fis-4238 467 10 a a DET fis-4238 467 11 relation relation NOUN fis-4238 467 12 in in ADP fis-4238 467 13 the the DET fis-4238 467 14 third third ADJ fis-4238 467 15 level level NOUN fis-4238 467 16 of of ADP fis-4238 467 17 calculation calculation NOUN fis-4238 467 18 . . PUNCT fis-4238 468 1 deterministic deterministic ADJ fis-4238 468 2 ( ( PUNCT fis-4238 468 3 blue blue ADJ fis-4238 468 4 points point NOUN fis-4238 468 5 ) ) PUNCT fis-4238 468 6 , , PUNCT fis-4238 468 7 minimum minimum NOUN fis-4238 468 8 ( ( PUNCT fis-4238 468 9 red red ADJ fis-4238 468 10 points point NOUN fis-4238 468 11 ) ) PUNCT fis-4238 468 12 , , PUNCT fis-4238 468 13 and and CCONJ fis-4238 468 14 maximum maximum ADJ fis-4238 468 15 ( ( PUNCT fis-4238 468 16 yellow yellow ADJ fis-4238 468 17 points point NOUN fis-4238 468 18 ) ) PUNCT fis-4238 468 19 are be AUX fis-4238 468 20 shown show VERB fis-4238 468 21 for for ADP fis-4238 468 22 the the DET fis-4238 468 23 last last ADJ fis-4238 468 24 structural structural ADJ fis-4238 468 25 member member NOUN fis-4238 468 26 that that PRON fis-4238 468 27 fails fail VERB fis-4238 468 28 by by ADP fis-4238 468 29 fatigue fatigue NOUN fis-4238 468 30 ( ( PUNCT fis-4238 468 31 element element NOUN fis-4238 468 32 2 2 NUM fis-4238 468 33 ) ) PUNCT fis-4238 468 34 , , PUNCT fis-4238 468 35 according accord VERB fis-4238 468 36 to to ADP fis-4238 468 37 the the DET fis-4238 468 38 corresponding corresponding ADJ fis-4238 468 39 labels label NOUN fis-4238 468 40 . . PUNCT fis-4238 469 1 this this DET fis-4238 469 2 cloud cloud NOUN fis-4238 469 3 of of ADP fis-4238 469 4 points point NOUN fis-4238 469 5 gives give VERB fis-4238 469 6 the the DET fis-4238 469 7 mapping mapping NOUN fis-4238 469 8 of of ADP fis-4238 469 9 the the DET fis-4238 469 10 crack crack NOUN fis-4238 469 11 growth growth NOUN fis-4238 469 12 throughout throughout ADP fis-4238 469 13 the the DET fis-4238 469 14 cycles cycle NOUN fis-4238 469 15 related relate VERB fis-4238 469 16 to to ADP fis-4238 469 17 the the DET fis-4238 469 18 stress stress NOUN fis-4238 469 19 intensity intensity NOUN fis-4238 469 20 factor factor NOUN fis-4238 469 21 range range VERB fis-4238 469 22 in in ADP fis-4238 469 23 order order NOUN fis-4238 469 24 to to PART fis-4238 469 25 provide provide VERB fis-4238 469 26 the the DET fis-4238 469 27 designer designer NOUN fis-4238 469 28 the the DET fis-4238 469 29 information information NOUN fis-4238 469 30 related relate VERB fis-4238 469 31 to to PART fis-4238 469 32 crack crack VERB fis-4238 469 33 growth growth NOUN fis-4238 469 34 behavior behavior NOUN fis-4238 469 35 . . PUNCT fis-4238 470 1 the the DET fis-4238 470 2 fatigue fatigue NOUN fis-4238 470 3 crack crack VERB fis-4238 470 4 growth growth NOUN fis-4238 470 5 boundaries boundary NOUN fis-4238 470 6 ( ( PUNCT fis-4238 470 7 fcgbs fcgbs NOUN fis-4238 470 8 ) ) PUNCT fis-4238 470 9 encompass encompass VERB fis-4238 470 10 the the DET fis-4238 470 11 points point NOUN fis-4238 470 12 that that PRON fis-4238 470 13 are be AUX fis-4238 470 14 within within ADP fis-4238 470 15 the the DET fis-4238 470 16 contour contour NOUN fis-4238 470 17 composed compose VERB fis-4238 470 18 of of ADP fis-4238 470 19 the the DET fis-4238 470 20 most most ADV fis-4238 470 21 extreme extreme ADJ fis-4238 470 22 points point NOUN fis-4238 470 23 , , PUNCT fis-4238 470 24 thus thus ADV fis-4238 470 25 forming form VERB fis-4238 470 26 a a DET fis-4238 470 27 design design NOUN fis-4238 470 28 envelope envelope NOUN fis-4238 470 29 . . PUNCT fis-4238 471 1 this this DET fis-4238 471 2 envelope envelope NOUN fis-4238 471 3 may may AUX fis-4238 471 4 help help VERB fis-4238 471 5 in in ADP fis-4238 471 6 the the DET fis-4238 471 7 prediction prediction NOUN fis-4238 471 8 of of ADP fis-4238 471 9 the the DET fis-4238 471 10 crack crack NOUN fis-4238 471 11 growth growth NOUN fis-4238 471 12 rate rate NOUN fis-4238 471 13 at at ADP fis-4238 471 14 a a DET fis-4238 471 15 required require VERB fis-4238 471 16 confidence confidence NOUN fis-4238 471 17 level level NOUN fis-4238 471 18 , , PUNCT fis-4238 471 19 besides besides SCONJ fis-4238 471 20 allowing allow VERB fis-4238 471 21 the the DET fis-4238 471 22 designer designer NOUN fis-4238 471 23 to to PART fis-4238 471 24 adopt adopt VERB fis-4238 471 25 , , PUNCT fis-4238 471 26 for for ADP fis-4238 471 27 example example NOUN fis-4238 471 28 , , PUNCT fis-4238 471 29 the the DET fis-4238 471 30 worst bad ADJ fis-4238 471 31 - - PUNCT fis-4238 471 32 case case NOUN fis-4238 471 33 crack crack NOUN fis-4238 471 34 growth growth NOUN fis-4238 471 35 scenario scenario NOUN fis-4238 471 36 , , PUNCT fis-4238 471 37 in in ADP fis-4238 471 38 a a DET fis-4238 471 39 conservative conservative ADJ fis-4238 471 40 design design NOUN fis-4238 471 41 . . PUNCT fis-4238 472 1 therefore therefore ADV fis-4238 472 2 , , PUNCT fis-4238 472 3 under under ADP fis-4238 472 4 the the DET fis-4238 472 5 given give VERB fis-4238 472 6 information information NOUN fis-4238 472 7 , , PUNCT fis-4238 472 8 conditions condition NOUN fis-4238 472 9 , , PUNCT fis-4238 472 10 and and CCONJ fis-4238 472 11 assumptions assumption NOUN fis-4238 472 12 , , PUNCT fis-4238 472 13 these these DET fis-4238 472 14 fcgbs fcgbs NOUN fis-4238 472 15 provide provide VERB fis-4238 472 16 the the DET fis-4238 472 17 most most ADV fis-4238 472 18 unbiased unbiased ADJ fis-4238 472 19 crack crack NOUN fis-4238 472 20 growth growth NOUN fis-4238 472 21 mapping mapping NOUN fis-4238 472 22 . . PUNCT fis-4238 473 1 figure figure NOUN fis-4238 473 2 10 10 NUM fis-4238 473 3 : : PUNCT fis-4238 473 4 fcgbs fcgbs NOUN fis-4238 473 5 produced produce VERB fis-4238 473 6 by by ADP fis-4238 473 7 the the DET fis-4238 473 8 family family NOUN fis-4238 473 9 of of ADP fis-4238 473 10 curves curve NOUN fis-4238 473 11 /da /da PUNCT fis-4238 474 1 dn dn VERB fis-4238 474 2 versus versus ADP fis-4238 474 3 rk rk PROPN fis-4238 474 4 ( ( PUNCT fis-4238 474 5 element element NOUN fis-4238 474 6 2 2 NUM fis-4238 474 7 as as ADP fis-4238 474 8 sample sample NOUN fis-4238 474 9 ) ) PUNCT fis-4238 474 10 . . PUNCT fis-4238 475 1 fig fig NOUN fis-4238 475 2 . . PUNCT fis-4238 476 1 11 11 NUM fis-4238 476 2 also also ADV fis-4238 476 3 brings bring VERB fis-4238 476 4 the the DET fis-4238 476 5 concept concept NOUN fis-4238 476 6 of of ADP fis-4238 476 7 design design NOUN fis-4238 476 8 boundaries boundary NOUN fis-4238 476 9 , , PUNCT fis-4238 476 10 but but CCONJ fis-4238 476 11 now now ADV fis-4238 476 12 they they PRON fis-4238 476 13 are be AUX fis-4238 476 14 the the DET fis-4238 476 15 fatigue fatigue NOUN fis-4238 476 16 crack crack VERB fis-4238 476 17 semi semi ADJ fis-4238 476 18 - - ADJ fis-4238 476 19 width width ADJ fis-4238 476 20 boundaries boundary NOUN fis-4238 476 21 ( ( PUNCT fis-4238 476 22 fcsbs fcsbs PROPN fis-4238 476 23 ) ) PUNCT fis-4238 476 24 , , PUNCT fis-4238 476 25 which which PRON fis-4238 476 26 delimit delimit VERB fis-4238 476 27 the the DET fis-4238 476 28 allowable allowable ADJ fis-4238 476 29 design design NOUN fis-4238 476 30 region region NOUN fis-4238 476 31 that that PRON fis-4238 476 32 relates relate VERB fis-4238 476 33 the the DET fis-4238 476 34 crack crack NOUN fis-4238 476 35 semi semi ADV fis-4238 476 36 - - ADJ fis-4238 476 37 width width ADJ fis-4238 476 38 to to ADP fis-4238 476 39 the the DET fis-4238 476 40 current current ADJ fis-4238 476 41 number number NOUN fis-4238 476 42 of of ADP fis-4238 476 43 stress stress NOUN fis-4238 476 44 cycles cycle NOUN fis-4238 476 45 . . PUNCT fis-4238 477 1 minimum minimum NOUN fis-4238 477 2 ( ( PUNCT fis-4238 477 3 cloud cloud NOUN fis-4238 477 4 of of ADP fis-4238 477 5 red red ADJ fis-4238 477 6 points point NOUN fis-4238 477 7 ) ) PUNCT fis-4238 477 8 is be AUX fis-4238 477 9 represented represent VERB fis-4238 477 10 by by ADP fis-4238 477 11 the the DET fis-4238 477 12 highest high ADJ fis-4238 477 13 initial initial ADJ fis-4238 477 14 crack crack NOUN fis-4238 477 15 semi semi ADJ fis-4238 477 16 - - ADJ fis-4238 477 17 width width ADJ fis-4238 477 18 and and CCONJ fis-4238 477 19 the the DET fis-4238 477 20 lowest low ADJ fis-4238 477 21 fatigue fatigue NOUN fis-4238 477 22 life life NOUN fis-4238 477 23 , , PUNCT fis-4238 477 24 whereas whereas SCONJ fis-4238 477 25 maximum maximum ADJ fis-4238 477 26 ( ( PUNCT fis-4238 477 27 set set NOUN fis-4238 477 28 of of ADP fis-4238 477 29 yellow yellow ADJ fis-4238 477 30 points point NOUN fis-4238 477 31 ) ) PUNCT fis-4238 477 32 presents present VERB fis-4238 477 33 the the DET fis-4238 477 34 lowest low ADJ fis-4238 477 35 initial initial ADJ fis-4238 477 36 crack crack NOUN fis-4238 477 37 semi semi ADJ fis-4238 477 38 - - ADJ fis-4238 477 39 width width ADJ fis-4238 477 40 and and CCONJ fis-4238 477 41 the the DET fis-4238 477 42 highest high ADJ fis-4238 477 43 fatigue fatigue NOUN fis-4238 477 44 life life NOUN fis-4238 477 45 . . PUNCT fis-4238 478 1 the the DET fis-4238 478 2 deterministic deterministic ADJ fis-4238 478 3 case case NOUN fis-4238 478 4 is be AUX fis-4238 478 5 the the DET fis-4238 478 6 set set NOUN fis-4238 478 7 of of ADP fis-4238 478 8 blue blue ADJ fis-4238 478 9 points point NOUN fis-4238 478 10 . . PUNCT fis-4238 479 1 the the DET fis-4238 479 2 fatigue fatigue NOUN fis-4238 479 3 life life NOUN fis-4238 479 4 corresponding correspond VERB fis-4238 479 5 to to ADP fis-4238 479 6 the the DET fis-4238 479 7 minimum minimum ADJ fis-4238 479 8 red red ADJ fis-4238 479 9 cloud cloud NOUN fis-4238 479 10 of of ADP fis-4238 479 11 points point NOUN fis-4238 479 12 is be AUX fis-4238 479 13   PROPN fis-4238 479 14   NOUN fis-4238 479 15 92.2760 92.2760 NUM fis-4238 479 16         SPACE fis-4238 479 17 10minn 10minn NUM fis-4238 479 18 cycles cycle NOUN fis-4238 479 19 , , PUNCT fis-4238 479 20 the the DET fis-4238 479 21 one one NUM fis-4238 479 22 r. r. PROPN fis-4238 479 23 b. b. PROPN fis-4238 480 1 p. p. PROPN fis-4238 480 2 nonato nonato PROPN fis-4238 480 3 , , PUNCT fis-4238 480 4 frattura frattura PROPN fis-4238 480 5 ed ed PROPN fis-4238 480 6 integrità integrità PROPN fis-4238 480 7 strutturale strutturale PROPN fis-4238 480 8 , , PUNCT fis-4238 480 9 65 65 NUM fis-4238 480 10 ( ( PUNCT fis-4238 480 11 2023 2023 NUM fis-4238 480 12 ) ) PUNCT fis-4238 480 13 17 17 NUM fis-4238 480 14 - - SYM fis-4238 480 15 37 37 NUM fis-4238 480 16 ; ; PUNCT fis-4238 480 17 doi doi NOUN fis-4238 480 18 : : PUNCT fis-4238 480 19 10.3221 10.3221 NUM fis-4238 480 20 / / SYM fis-4238 480 21 igf igf PROPN fis-4238 480 22 - - NOUN fis-4238 480 23 esis.66.02 esis.66.02 PROPN fis-4238 480 24 34 34 NUM fis-4238 480 25 corresponding correspond VERB fis-4238 480 26 to to ADP fis-4238 480 27 the the DET fis-4238 480 28 deterministic deterministic ADJ fis-4238 480 29 curve curve NOUN fis-4238 480 30 is be AUX fis-4238 480 31   PROPN fis-4238 480 32   NOUN fis-4238 480 33 92.4690 92.4690 NUM fis-4238 480 34         SPACE fis-4238 480 35 10determn 10determn NUM fis-4238 480 36 cycles cycle NOUN fis-4238 480 37 , , PUNCT fis-4238 480 38 whereas whereas SCONJ fis-4238 480 39 the the DET fis-4238 480 40 maximum maximum NOUN fis-4238 480 41 is be AUX fis-4238 480 42   PROPN fis-4238 480 43   NOUN fis-4238 480 44 93.0470 93.0470 NUM fis-4238 480 45         SPACE fis-4238 480 46 10maxn 10maxn NUM fis-4238 480 47 cycles cycle NOUN fis-4238 480 48 . . PUNCT fis-4238 481 1 these these DET fis-4238 481 2 values value NOUN fis-4238 481 3 of of ADP fis-4238 481 4 fatigue fatigue NOUN fis-4238 481 5 life life NOUN fis-4238 481 6 correspond correspond VERB fis-4238 481 7 to to ADP fis-4238 481 8 the the DET fis-4238 481 9 respective respective ADJ fis-4238 481 10 values value NOUN fis-4238 481 11 of of ADP fis-4238 481 12 initial initial ADJ fis-4238 481 13 crack crack NOUN fis-4238 481 14 semi semi NOUN fis-4238 481 15 - - ADJ fis-4238 481 16 width width ADJ fis-4238 481 17 : : PUNCT fis-4238 481 18 0 0 PROPN fis-4238 481 19 2.6997 2.6997 NUM fis-4238 481 20     SPACE fis-4238 481 21 max max PROPN fis-4238 481 22 a a DET fis-4238 481 23 mm mm INTJ fis-4238 481 24 , , PUNCT fis-4238 481 25 0 0 PROPN fis-4238 481 26 2.5004 2.5004 NUM fis-4238 481 27     SPACE fis-4238 481 28 a a DET fis-4238 481 29 mm mm NOUN fis-4238 481 30 , , PUNCT fis-4238 481 31 and and CCONJ fis-4238 481 32 0 0 PROPN fis-4238 481 33 2.4001 2.4001 NUM fis-4238 481 34     SPACE fis-4238 481 35 min min NOUN fis-4238 481 36 a a DET fis-4238 481 37 mm mm INTJ fis-4238 481 38 , , PUNCT fis-4238 481 39 as as SCONJ fis-4238 481 40 can can AUX fis-4238 481 41 be be AUX fis-4238 481 42 checked check VERB fis-4238 481 43 in in ADP fis-4238 481 44 tab tab NOUN fis-4238 481 45 . . PUNCT fis-4238 482 1 4 4 X fis-4238 482 2 . . X fis-4238 482 3 all all DET fis-4238 482 4 the the DET fis-4238 482 5 realizations realization NOUN fis-4238 482 6 that that PRON fis-4238 482 7 obey obey VERB fis-4238 482 8 the the DET fis-4238 482 9 imposed impose VERB fis-4238 482 10 restrictions restriction NOUN fis-4238 482 11 are be AUX fis-4238 482 12 within within ADP fis-4238 482 13 this this DET fis-4238 482 14 region region NOUN fis-4238 482 15 , , PUNCT fis-4238 482 16 each each PRON fis-4238 482 17 reaching reach VERB fis-4238 482 18 a a DET fis-4238 482 19 final final ADJ fis-4238 482 20 crack crack NOUN fis-4238 482 21 semi semi NOUN fis-4238 482 22 - - NOUN fis-4238 482 23 width width ADJ fis-4238 482 24 of of ADP fis-4238 482 25 almost almost ADV fis-4238 482 26   NOUN fis-4238 482 27 7.5000 7.5000 NUM fis-4238 482 28     SPACE fis-4238 482 29 fa fa PROPN fis-4238 482 30 mm mm PROPN fis-4238 482 31 ( ( PUNCT fis-4238 482 32 corresponding correspond VERB fis-4238 482 33 to to ADP fis-4238 482 34 the the DET fis-4238 482 35 most most ADV fis-4238 482 36 restrictive restrictive ADJ fis-4238 482 37 stopping stopping NOUN fis-4238 482 38 criterion criterion NOUN fis-4238 482 39 for for ADP fis-4238 482 40 this this DET fis-4238 482 41 limit limit NOUN fis-4238 482 42 state state NOUN fis-4238 482 43 ) ) PUNCT fis-4238 482 44 . . PUNCT fis-4238 483 1 therefore therefore ADV fis-4238 483 2 , , PUNCT fis-4238 483 3 according accord VERB fis-4238 483 4 to to ADP fis-4238 483 5 the the DET fis-4238 483 6 degree degree NOUN fis-4238 483 7 of of ADP fis-4238 483 8 risk risk NOUN fis-4238 483 9 the the DET fis-4238 483 10 designer designer NOUN fis-4238 483 11 may may AUX fis-4238 483 12 take take VERB fis-4238 483 13 , , PUNCT fis-4238 483 14 the the DET fis-4238 483 15 design design NOUN fis-4238 483 16 can can AUX fis-4238 483 17 be be AUX fis-4238 483 18 more more ADV fis-4238 483 19 costly costly ADJ fis-4238 483 20 - - PUNCT fis-4238 483 21 effective effective ADJ fis-4238 483 22 . . PUNCT fis-4238 484 1 figure figure NOUN fis-4238 484 2 11 11 NUM fis-4238 484 3 : : PUNCT fis-4238 484 4 fcsbs fcsbs NOUN fis-4238 484 5 produced produce VERB fis-4238 484 6 by by ADP fis-4238 484 7 the the DET fis-4238 484 8 family family NOUN fis-4238 484 9 of of ADP fis-4238 484 10 curves curve NOUN fis-4238 484 11 a a PRON fis-4238 484 12 versus versus X fis-4238 484 13 n n NOUN fis-4238 484 14 ( ( PUNCT fis-4238 484 15 element element NOUN fis-4238 484 16 2 2 NUM fis-4238 484 17 as as ADP fis-4238 484 18 sample sample NOUN fis-4238 484 19 ) ) PUNCT fis-4238 484 20 . . PUNCT fis-4238 485 1 the the DET fis-4238 485 2 results result NOUN fis-4238 485 3 obtained obtain VERB fis-4238 485 4 via via ADP fis-4238 485 5 this this DET fis-4238 485 6 multi multi ADJ fis-4238 485 7 - - ADJ fis-4238 485 8 level level ADJ fis-4238 485 9 uqfw uqfw NOUN fis-4238 485 10 provide provide VERB fis-4238 485 11 an an DET fis-4238 485 12 allowable allowable ADJ fis-4238 485 13 design design NOUN fis-4238 485 14 envelope envelope NOUN fis-4238 485 15 in in ADP fis-4238 485 16 order order NOUN fis-4238 485 17 to to PART fis-4238 485 18 predict predict VERB fis-4238 485 19 the the DET fis-4238 485 20 crack crack NOUN fis-4238 485 21 growth growth NOUN fis-4238 485 22 and and CCONJ fis-4238 485 23 semi semi ADJ fis-4238 485 24 - - ADJ fis-4238 485 25 width width ADJ fis-4238 485 26 at at ADP fis-4238 485 27 a a DET fis-4238 485 28 determined determined ADJ fis-4238 485 29 confidence confidence NOUN fis-4238 485 30 level level NOUN fis-4238 485 31 . . PUNCT fis-4238 486 1 the the DET fis-4238 486 2 deterministic deterministic ADJ fis-4238 486 3 case case NOUN fis-4238 486 4 is be AUX fis-4238 486 5 shown show VERB fis-4238 486 6 as as ADP fis-4238 486 7 just just ADV fis-4238 486 8 one one NUM fis-4238 486 9 of of ADP fis-4238 486 10 the the DET fis-4238 486 11 possibilities possibility NOUN fis-4238 486 12 of of ADP fis-4238 486 13 occurrence occurrence NOUN fis-4238 486 14 because because SCONJ fis-4238 486 15 it it PRON fis-4238 486 16 is be AUX fis-4238 486 17 within within ADP fis-4238 486 18 the the DET fis-4238 486 19 allowable allowable ADJ fis-4238 486 20 region region NOUN fis-4238 486 21 . . PUNCT fis-4238 487 1 depending depend VERB fis-4238 487 2 on on ADP fis-4238 487 3 the the DET fis-4238 487 4 objectives objective NOUN fis-4238 487 5 set set VERB fis-4238 487 6 for for ADP fis-4238 487 7 a a DET fis-4238 487 8 specific specific ADJ fis-4238 487 9 design design NOUN fis-4238 487 10 , , PUNCT fis-4238 487 11 there there PRON fis-4238 487 12 will will AUX fis-4238 487 13 be be AUX fis-4238 487 14 a a DET fis-4238 487 15 corresponding corresponding ADJ fis-4238 487 16 mechanical mechanical ADJ fis-4238 487 17 resistance resistance NOUN fis-4238 487 18 offered offer VERB fis-4238 487 19 . . PUNCT fis-4238 488 1 it it PRON fis-4238 488 2 is be AUX fis-4238 488 3 also also ADV fis-4238 488 4 important important ADJ fis-4238 488 5 to to PART fis-4238 488 6 note note VERB fis-4238 488 7 that that SCONJ fis-4238 488 8 in in ADP fis-4238 488 9 the the DET fis-4238 488 10 case case NOUN fis-4238 488 11 of of ADP fis-4238 488 12 more more ADJ fis-4238 488 13 information information NOUN fis-4238 488 14 available available ADJ fis-4238 488 15 , , PUNCT fis-4238 488 16 the the DET fis-4238 488 17 mathematical mathematical ADJ fis-4238 488 18 model model NOUN fis-4238 488 19 has have VERB fis-4238 488 20 to to PART fis-4238 488 21 be be AUX fis-4238 488 22 updated update VERB fis-4238 488 23 in in ADP fis-4238 488 24 order order NOUN fis-4238 488 25 to to PART fis-4238 488 26 fulfill fulfill VERB fis-4238 488 27 the the DET fis-4238 488 28 new new ADJ fis-4238 488 29 requirements requirement NOUN fis-4238 488 30 . . PUNCT fis-4238 489 1 therefore therefore ADV fis-4238 489 2 , , PUNCT fis-4238 489 3 fcgbs fcgbs NOUN fis-4238 489 4 and and CCONJ fis-4238 489 5 fcsbs fcsbs NOUN fis-4238 489 6 allow allow VERB fis-4238 489 7 the the DET fis-4238 489 8 designer designer NOUN fis-4238 489 9 to to PART fis-4238 489 10 predict predict VERB fis-4238 489 11 the the DET fis-4238 489 12 worst bad ADJ fis-4238 489 13 - - PUNCT fis-4238 489 14 case case NOUN fis-4238 489 15 fatigue fatigue NOUN fis-4238 489 16 scenario scenario NOUN fis-4238 489 17 , , PUNCT fis-4238 489 18 besides besides SCONJ fis-4238 489 19 being be AUX fis-4238 489 20 able able ADJ fis-4238 489 21 to to PART fis-4238 489 22 know know VERB fis-4238 489 23 the the DET fis-4238 489 24 design design NOUN fis-4238 489 25 range range NOUN fis-4238 489 26 at at ADP fis-4238 489 27 a a DET fis-4238 489 28 certain certain ADJ fis-4238 489 29 confidence confidence NOUN fis-4238 489 30 level level NOUN fis-4238 489 31 . . PUNCT fis-4238 490 1 furthermore furthermore ADV fis-4238 490 2 , , PUNCT fis-4238 490 3 the the DET fis-4238 490 4 boundaries boundary NOUN fis-4238 490 5 built build VERB fis-4238 490 6 up up ADP fis-4238 490 7 in in ADP fis-4238 490 8 this this DET fis-4238 490 9 work work NOUN fis-4238 490 10 provide provide VERB fis-4238 490 11 the the DET fis-4238 490 12 most most ADV fis-4238 490 13 unbiased unbiased ADJ fis-4238 490 14 fatigue fatigue NOUN fis-4238 490 15 crack crack VERB fis-4238 490 16 growth growth NOUN fis-4238 490 17 and and CCONJ fis-4238 490 18 semi semi ADJ fis-4238 490 19 - - ADJ fis-4238 490 20 width width ADJ fis-4238 490 21 mappings mapping NOUN fis-4238 490 22 under under ADP fis-4238 490 23 the the DET fis-4238 490 24 conditions condition NOUN fis-4238 490 25 , , PUNCT fis-4238 490 26 assumptions assumption NOUN fis-4238 490 27 , , PUNCT fis-4238 490 28 and and CCONJ fis-4238 490 29 simplifications simplification NOUN fis-4238 490 30 made make VERB fis-4238 490 31 . . PUNCT fis-4238 491 1 conclusions conclusion NOUN fis-4238 491 2 n n CCONJ fis-4238 491 3 this this DET fis-4238 491 4 paper paper NOUN fis-4238 491 5 , , PUNCT fis-4238 491 6 a a DET fis-4238 491 7 multi multi ADJ fis-4238 491 8 - - ADJ fis-4238 491 9 level level ADJ fis-4238 491 10 uncertain uncertain ADJ fis-4238 491 11 fatigue fatigue NOUN fis-4238 491 12 analysis analysis NOUN fis-4238 491 13 was be AUX fis-4238 491 14 conducted conduct VERB fis-4238 491 15 using use VERB fis-4238 491 16 the the DET fis-4238 491 17 strategy strategy NOUN fis-4238 491 18 of of ADP fis-4238 491 19 an an DET fis-4238 491 20 uncertainty uncertainty NOUN fis-4238 491 21 quantification quantification NOUN fis-4238 491 22 framework framework NOUN fis-4238 491 23 ( ( PUNCT fis-4238 491 24 uqfw uqfw NOUN fis-4238 491 25 ) ) PUNCT fis-4238 491 26 , , PUNCT fis-4238 491 27 which which PRON fis-4238 491 28 was be AUX fis-4238 491 29 implemented implement VERB fis-4238 491 30 in in ADP fis-4238 491 31 a a DET fis-4238 491 32 tubular tubular ADJ fis-4238 491 33 plane plane NOUN fis-4238 491 34 truss truss NOUN fis-4238 491 35 problem problem NOUN fis-4238 491 36 . . PUNCT fis-4238 492 1 the the DET fis-4238 492 2 solution solution NOUN fis-4238 492 3 involves involve VERB fis-4238 492 4 the the DET fis-4238 492 5 induced induced ADJ fis-4238 492 6 sequential sequential ADJ fis-4238 492 7 fatigue fatigue NOUN fis-4238 492 8 failure failure NOUN fis-4238 492 9 of of ADP fis-4238 492 10 each each DET fis-4238 492 11 structural structural ADJ fis-4238 492 12 member member NOUN fis-4238 492 13 until until SCONJ fis-4238 492 14 the the DET fis-4238 492 15 structure structure NOUN fis-4238 492 16 loses lose VERB fis-4238 492 17 its its PRON fis-4238 492 18 functionality functionality NOUN fis-4238 492 19 , , PUNCT fis-4238 492 20 simultaneously simultaneously ADV fis-4238 492 21 observing observe VERB fis-4238 492 22 the the DET fis-4238 492 23 criteria criterion NOUN fis-4238 492 24 of of ADP fis-4238 492 25 material material NOUN fis-4238 492 26 fracture fracture NOUN fis-4238 492 27 toughness toughness NOUN fis-4238 492 28 and and CCONJ fis-4238 492 29 maximum maximum ADJ fis-4238 492 30 allowable allowable ADJ fis-4238 492 31 crack crack NOUN fis-4238 492 32 semi semi ADJ fis-4238 492 33 - - ADJ fis-4238 492 34 width width ADJ fis-4238 492 35 . . PUNCT fis-4238 493 1 the the DET fis-4238 493 2 uncertain uncertain ADJ fis-4238 493 3 input input NOUN fis-4238 493 4 quantities quantity NOUN fis-4238 493 5 ( ( PUNCT fis-4238 493 6 uiqs uiqs ADJ fis-4238 493 7 ) ) PUNCT fis-4238 493 8 considered consider VERB fis-4238 493 9 herein herein NOUN fis-4238 493 10 were be AUX fis-4238 493 11 the the DET fis-4238 493 12 geometrical geometrical ADJ fis-4238 493 13 parameters parameter NOUN fis-4238 493 14 , , PUNCT fis-4238 493 15 material material NOUN fis-4238 493 16 properties property NOUN fis-4238 493 17 , , PUNCT fis-4238 493 18 and and CCONJ fis-4238 493 19 live live ADJ fis-4238 493 20 loads load NOUN fis-4238 493 21 . . PUNCT fis-4238 494 1 the the DET fis-4238 494 2 main main ADJ fis-4238 494 3 system system NOUN fis-4238 494 4 response response NOUN fis-4238 494 5 quantity quantity NOUN fis-4238 494 6 ( ( PUNCT fis-4238 494 7 srq srq NOUN fis-4238 494 8 ) ) PUNCT fis-4238 494 9 obtained obtain VERB fis-4238 494 10 was be AUX fis-4238 494 11 the the DET fis-4238 494 12 fatigue fatigue NOUN fis-4238 494 13 life life NOUN fis-4238 494 14 , , PUNCT fis-4238 494 15 in in ADP fis-4238 494 16 the the DET fis-4238 494 17 fourth fourth ADJ fis-4238 494 18 level level NOUN fis-4238 494 19 of of ADP fis-4238 494 20 calculation calculation NOUN fis-4238 494 21 . . PUNCT fis-4238 495 1 this this DET fis-4238 495 2 multi multi ADJ fis-4238 495 3 - - ADJ fis-4238 495 4 level level ADJ fis-4238 495 5 calculation calculation NOUN fis-4238 495 6 of of ADP fis-4238 495 7 each each DET fis-4238 495 8 structural structural ADJ fis-4238 495 9 member member NOUN fis-4238 495 10 applied apply VERB fis-4238 495 11 the the DET fis-4238 495 12 finite finite ADJ fis-4238 495 13 element element NOUN fis-4238 495 14 method method NOUN fis-4238 495 15 ( ( PUNCT fis-4238 495 16 fem fem NOUN fis-4238 495 17 ) ) PUNCT fis-4238 495 18 to to PART fis-4238 495 19 find find VERB fis-4238 495 20 the the DET fis-4238 495 21 stresses stress NOUN fis-4238 495 22 involved involve VERB fis-4238 495 23 and and CCONJ fis-4238 495 24 the the DET fis-4238 495 25 maximum maximum PROPN fis-4238 495 26 entropy entropy PROPN fis-4238 495 27 principle principle NOUN fis-4238 495 28 ( ( PUNCT fis-4238 495 29 mep mep PROPN fis-4238 495 30 ) ) PUNCT fis-4238 495 31 to to PART fis-4238 495 32 maximize maximize VERB fis-4238 495 33 the the DET fis-4238 495 34 uncertainty uncertainty NOUN fis-4238 495 35 related relate VERB fis-4238 495 36 to to ADP fis-4238 495 37 the the DET fis-4238 495 38 incomplete incomplete ADJ fis-4238 495 39 information information NOUN fis-4238 495 40 provided provide VERB fis-4238 495 41 . . PUNCT fis-4238 496 1 the the DET fis-4238 496 2 srqs srqs PROPN fis-4238 496 3 of of ADP fis-4238 496 4 previous previous ADJ fis-4238 496 5 levels level NOUN fis-4238 496 6 of of ADP fis-4238 496 7 calculation calculation NOUN fis-4238 496 8 may may AUX fis-4238 496 9 enter enter VERB fis-4238 496 10 as as ADV fis-4238 496 11 uiqs uiqs ADJ fis-4238 496 12 in in ADP fis-4238 496 13 the the DET fis-4238 496 14 subsequent subsequent ADJ fis-4238 496 15 levels level NOUN fis-4238 496 16 . . PUNCT fis-4238 497 1 the the DET fis-4238 497 2 set set NOUN fis-4238 497 3 of of ADP fis-4238 497 4 these these DET fis-4238 497 5 levels level NOUN fis-4238 497 6 corresponds correspond VERB fis-4238 497 7 to to ADP fis-4238 497 8 a a DET fis-4238 497 9 round round NOUN fis-4238 497 10 of of ADP fis-4238 497 11 calculation calculation NOUN fis-4238 497 12 ( ( PUNCT fis-4238 497 13 each each DET fis-4238 497 14 member member NOUN fis-4238 497 15 failure failure NOUN fis-4238 497 16 ) ) PUNCT fis-4238 497 17 . . PUNCT fis-4238 498 1 from from ADP fis-4238 498 2 this this DET fis-4238 498 3 perspective perspective NOUN fis-4238 498 4 , , PUNCT fis-4238 498 5 the the DET fis-4238 498 6 main main ADJ fis-4238 498 7 conclusions conclusion NOUN fis-4238 498 8 are be AUX fis-4238 498 9 as as SCONJ fis-4238 498 10 follows follow VERB fis-4238 498 11 : : PUNCT fis-4238 499 1 1 1 X fis-4238 499 2 . . PUNCT fis-4238 499 3 the the DET fis-4238 499 4 multi multi ADJ fis-4238 499 5 - - ADJ fis-4238 499 6 level level ADJ fis-4238 499 7 uncertain uncertain ADJ fis-4238 499 8 fatigue fatigue NOUN fis-4238 499 9 analysis analysis NOUN fis-4238 499 10 presented present VERB fis-4238 499 11 herein herein NOUN fis-4238 499 12 is be AUX fis-4238 499 13 able able ADJ fis-4238 499 14 to to PART fis-4238 499 15 produce produce VERB fis-4238 499 16 the the DET fis-4238 499 17 most most ADV fis-4238 499 18 unbiased unbiased ADJ fis-4238 499 19 range range NOUN fis-4238 499 20 of of ADP fis-4238 499 21 possible possible ADJ fis-4238 499 22 solutions solution NOUN fis-4238 499 23 , , PUNCT fis-4238 499 24 thus thus ADV fis-4238 499 25 maximizing maximize VERB fis-4238 499 26 the the DET fis-4238 499 27 uncertainty uncertainty NOUN fis-4238 499 28 , , PUNCT fis-4238 499 29 observing observe VERB fis-4238 499 30 the the DET fis-4238 499 31 limited limited ADJ fis-4238 499 32 available available ADJ fis-4238 499 33 information information NOUN fis-4238 499 34 . . PUNCT fis-4238 500 1 2 2 X fis-4238 500 2 . . X fis-4238 500 3 the the DET fis-4238 500 4 bi bi ADJ fis-4238 500 5 - - ADJ fis-4238 500 6 level level NOUN fis-4238 500 7 sensitivity sensitivity NOUN fis-4238 500 8 analysis analysis NOUN fis-4238 500 9 produced produce VERB fis-4238 500 10 a a DET fis-4238 500 11 rank rank NOUN fis-4238 500 12 of of ADP fis-4238 500 13 the the DET fis-4238 500 14 most most ADV fis-4238 500 15 influencing influence VERB fis-4238 500 16 fatigue fatigue NOUN fis-4238 500 17 design design NOUN fis-4238 500 18 factors factor NOUN fis-4238 500 19 ( ( PUNCT fis-4238 500 20 uiqs uiqs ADJ fis-4238 500 21 ) ) PUNCT fis-4238 500 22 , , PUNCT fis-4238 500 23 and and CCONJ fis-4238 500 24 addressed address VERB fis-4238 500 25 that that SCONJ fis-4238 500 26 the the DET fis-4238 500 27 slope slope NOUN fis-4238 500 28 of of ADP fis-4238 500 29 the the DET fis-4238 500 30 curve curve NOUN fis-4238 500 31 crack crack NOUN fis-4238 500 32 growth growth NOUN fis-4238 500 33 rate rate NOUN fis-4238 500 34 × × PROPN fis-4238 500 35 stress stress NOUN fis-4238 500 36 intensity intensity NOUN fis-4238 500 37 factor factor NOUN fis-4238 500 38 range range NOUN fis-4238 500 39 ( ( PUNCT fis-4238 500 40 uiq uiq INTJ fis-4238 500 41 m m PROPN fis-4238 500 42 ) ) PUNCT fis-4238 500 43 influenced influence VERB fis-4238 500 44 fatigue fatigue NOUN fis-4238 500 45 life life NOUN fis-4238 500 46 the the DET fis-4238 500 47 most most ADJ fis-4238 500 48 . . PUNCT fis-4238 501 1 3 3 X fis-4238 501 2 . . X fis-4238 501 3 the the DET fis-4238 501 4 fatigue fatigue NOUN fis-4238 501 5 crack crack VERB fis-4238 501 6 growth growth NOUN fis-4238 501 7 and and CCONJ fis-4238 501 8 fatigue fatigue NOUN fis-4238 501 9 crack crack VERB fis-4238 501 10 semi semi ADJ fis-4238 501 11 - - ADJ fis-4238 501 12 width width ADJ fis-4238 501 13 boundaries boundary NOUN fis-4238 501 14 ( ( PUNCT fis-4238 501 15 fcgbs fcgbs NOUN fis-4238 501 16 and and CCONJ fis-4238 501 17 fcsbs fcsbs NOUN fis-4238 501 18 ) ) PUNCT fis-4238 501 19 were be AUX fis-4238 501 20 established establish VERB fis-4238 501 21 for for ADP fis-4238 501 22 the the DET fis-4238 501 23 structure structure NOUN fis-4238 501 24 , , PUNCT fis-4238 501 25 simulating simulate VERB fis-4238 501 26 among among ADP fis-4238 501 27 others other NOUN fis-4238 501 28 , , PUNCT fis-4238 501 29 the the DET fis-4238 501 30 worst- worst- ADJ fis-4238 501 31 , , PUNCT fis-4238 501 32 deterministic- deterministic- NOUN fis-4238 501 33 , , PUNCT fis-4238 501 34 and and CCONJ fis-4238 501 35 best good ADJ fis-4238 501 36 - - PUNCT fis-4238 501 37 case case NOUN fis-4238 501 38 conditions condition NOUN fis-4238 501 39 . . PUNCT fis-4238 502 1 this this DET fis-4238 502 2 mapping mapping NOUN fis-4238 502 3 may may AUX fis-4238 502 4 be be AUX fis-4238 502 5 used use VERB fis-4238 502 6 as as ADP fis-4238 502 7 guidance guidance NOUN fis-4238 502 8 to to ADP fis-4238 502 9 the the DET fis-4238 502 10 designer designer NOUN fis-4238 502 11 to to PART fis-4238 502 12 support support VERB fis-4238 502 13 decisions decision NOUN fis-4238 502 14 about about ADP fis-4238 502 15 crack crack VERB fis-4238 502 16 growth growth NOUN fis-4238 502 17 rate rate NOUN fis-4238 502 18 and and CCONJ fis-4238 502 19 crack crack VERB fis-4238 502 20 semi semi ADJ fis-4238 502 21 - - ADJ fis-4238 502 22 width width ADJ fis-4238 502 23 in in ADP fis-4238 502 24 existing exist VERB fis-4238 502 25 cracks crack NOUN fis-4238 502 26 of of ADP fis-4238 502 27 the the DET fis-4238 502 28 type type NOUN fis-4238 502 29 treated treat VERB fis-4238 502 30 herein herein NOUN fis-4238 502 31 , , PUNCT fis-4238 502 32 allowing allow VERB fis-4238 502 33 the the DET fis-4238 502 34 estimation estimation NOUN fis-4238 502 35 of of ADP fis-4238 502 36 fatigue fatigue NOUN fis-4238 502 37 life life NOUN fis-4238 502 38 of of ADP fis-4238 502 39 trusses truss NOUN fis-4238 502 40 . . PUNCT fis-4238 503 1 broadly broadly ADV fis-4238 503 2 , , PUNCT fis-4238 503 3 there there PRON fis-4238 503 4 is be VERB fis-4238 503 5 an an DET fis-4238 503 6 increasing increase VERB fis-4238 503 7 demand demand NOUN fis-4238 503 8 to to PART fis-4238 503 9 develop develop VERB fis-4238 503 10 the the DET fis-4238 503 11 knowledge knowledge NOUN fis-4238 503 12 framework framework NOUN fis-4238 503 13 in in ADP fis-4238 503 14 fatigue fatigue NOUN fis-4238 503 15 predicting predict VERB fis-4238 503 16 context context NOUN fis-4238 503 17 . . PUNCT fis-4238 504 1 fatigue fatigue NOUN fis-4238 504 2 life life NOUN fis-4238 504 3 , , PUNCT fis-4238 504 4 dimensions dimension NOUN fis-4238 504 5 of of ADP fis-4238 504 6 the the DET fis-4238 504 7 components component NOUN fis-4238 504 8 , , PUNCT fis-4238 504 9 crack crack VERB fis-4238 504 10 growth growth NOUN fis-4238 504 11 rate rate NOUN fis-4238 504 12 , , PUNCT fis-4238 504 13 allowable allowable ADJ fis-4238 504 14 crack crack NOUN fis-4238 504 15 semi semi ADJ fis-4238 504 16 - - ADJ fis-4238 504 17 width width ADJ fis-4238 504 18 , , PUNCT fis-4238 504 19 and and CCONJ fis-4238 504 20 the the DET fis-4238 504 21 physical physical ADJ fis-4238 504 22 phenomenon phenomenon NOUN fis-4238 504 23 itself itself PRON fis-4238 504 24 are be AUX fis-4238 504 25 i i PROPN fis-4238 504 26 r. r. PROPN fis-4238 504 27 b. b. PROPN fis-4238 505 1 p. p. PROPN fis-4238 505 2 nonato nonato PROPN fis-4238 505 3 , , PUNCT fis-4238 505 4 frattura frattura PROPN fis-4238 505 5 ed ed PROPN fis-4238 505 6 integrità integrità PROPN fis-4238 505 7 strutturale strutturale PROPN fis-4238 505 8 , , PUNCT fis-4238 505 9 65 65 NUM fis-4238 505 10 ( ( PUNCT fis-4238 505 11 2023 2023 NUM fis-4238 505 12 ) ) PUNCT fis-4238 505 13 17 17 NUM fis-4238 505 14 - - SYM fis-4238 505 15 37 37 NUM fis-4238 505 16 ; ; PUNCT fis-4238 505 17 doi doi NOUN fis-4238 505 18 : : PUNCT fis-4238 505 19 10.3221 10.3221 NUM fis-4238 505 20 / / SYM fis-4238 505 21 igf igf PROPN fis-4238 505 22 - - NOUN fis-4238 505 23 esis.66.02 esis.66.02 PROPN fis-4238 505 24 35 35 NUM fis-4238 505 25 only only ADV fis-4238 505 26 a a DET fis-4238 505 27 few few ADJ fis-4238 505 28 parts part NOUN fis-4238 505 29 of of ADP fis-4238 505 30 this this DET fis-4238 505 31 complex complex ADJ fis-4238 505 32 subject subject NOUN fis-4238 505 33 . . PUNCT fis-4238 506 1 in in ADP fis-4238 506 2 this this DET fis-4238 506 3 direction direction NOUN fis-4238 506 4 , , PUNCT fis-4238 506 5 uncertainty uncertainty NOUN fis-4238 506 6 quantification quantification NOUN fis-4238 506 7 methods method NOUN fis-4238 506 8 come come VERB fis-4238 506 9 to to ADP fis-4238 506 10 the the DET fis-4238 506 11 aid aid NOUN fis-4238 506 12 of of ADP fis-4238 506 13 fatigue fatigue NOUN fis-4238 506 14 modeling modeling NOUN fis-4238 506 15 , , PUNCT fis-4238 506 16 in in ADP fis-4238 506 17 order order NOUN fis-4238 506 18 to to PART fis-4238 506 19 yield yield VERB fis-4238 506 20 a a DET fis-4238 506 21 relatively relatively ADV fis-4238 506 22 safe safe ADJ fis-4238 506 23 design design NOUN fis-4238 506 24 associated associate VERB fis-4238 506 25 with with ADP fis-4238 506 26 the the DET fis-4238 506 27 knowledge knowledge NOUN fis-4238 506 28 to to PART fis-4238 506 29 perform perform VERB fis-4238 506 30 increasingly increasingly ADV fis-4238 506 31 reliable reliable ADJ fis-4238 506 32 system system NOUN fis-4238 506 33 assessments assessment NOUN fis-4238 506 34 . . PUNCT fis-4238 507 1 acknowledgements acknowledgement NOUN fis-4238 507 2 he he PRON fis-4238 507 3 author author NOUN fis-4238 507 4 is be AUX fis-4238 507 5 very very ADV fis-4238 507 6 grateful grateful ADJ fis-4238 507 7 to to PART fis-4238 507 8 cerearerm cerearerm VERB fis-4238 507 9 for for ADP fis-4238 507 10 the the DET fis-4238 507 11 support support NOUN fis-4238 507 12 under under ADP fis-4238 507 13 project project NOUN fis-4238 507 14 number number NOUN fis-4238 507 15 01262113 01262113 NUM fis-4238 507 16 . . PUNCT fis-4238 508 1 references reference NOUN fis-4238 508 2 [ [ X fis-4238 508 3 1 1 NUM fis-4238 508 4 ] ] X fis-4238 508 5 campbell campbell PROPN fis-4238 508 6 , , PUNCT fis-4238 508 7 f.c f.c PROPN fis-4238 508 8 . . PROPN fis-4238 508 9 ( ( PUNCT fis-4238 508 10 2012 2012 NUM fis-4238 508 11 ) ) PUNCT fis-4238 508 12 . . PUNCT fis-4238 509 1 fatigue fatigue NOUN fis-4238 509 2 and and CCONJ fis-4238 509 3 fracture fracture NOUN fis-4238 509 4 : : PUNCT fis-4238 509 5 understanding understand VERB fis-4238 509 6 the the DET fis-4238 509 7 basics basic NOUN fis-4238 509 8 . . PUNCT fis-4238 510 1 materials material NOUN fis-4238 510 2 park park NOUN fis-4238 510 3 , , PUNCT fis-4238 510 4 asm asm NOUN fis-4238 510 5 international international NOUN fis-4238 510 6 . . PUNCT fis-4238 511 1 [ [ X fis-4238 511 2 2 2 NUM fis-4238 511 3 ] ] X fis-4238 511 4 mendoza mendoza PROPN fis-4238 511 5 , , PUNCT fis-4238 511 6 j. j. PROPN fis-4238 511 7 , , PUNCT fis-4238 511 8 nielsen nielsen PROPN fis-4238 511 9 , , PUNCT fis-4238 511 10 j.s j.s PROPN fis-4238 511 11 . . PROPN fis-4238 511 12 , , PUNCT fis-4238 511 13 sorensen sorensen PROPN fis-4238 511 14 , , PUNCT fis-4238 511 15 j.d j.d PROPN fis-4238 511 16 . . PROPN fis-4238 511 17 and and CCONJ fis-4238 511 18 kohler kohler PROPN fis-4238 511 19 , , PUNCT fis-4238 511 20 j. j. PROPN fis-4238 511 21 ( ( PUNCT fis-4238 511 22 2022 2022 NUM fis-4238 511 23 ) ) PUNCT fis-4238 511 24 . . PUNCT fis-4238 512 1 structural structural ADJ fis-4238 512 2 reliability reliability NOUN fis-4238 512 3 analysis analysis NOUN fis-4238 512 4 of of ADP fis-4238 512 5 offshore offshore ADJ fis-4238 512 6 jackets jacket NOUN fis-4238 512 7 for for ADP fis-4238 512 8 system system NOUN fis-4238 512 9 - - PUNCT fis-4238 512 10 level level NOUN fis-4238 512 11 fatigue fatigue NOUN fis-4238 512 12 design design NOUN fis-4238 512 13 . . PUNCT fis-4238 513 1 structural structural ADJ fis-4238 513 2 safety safety NOUN fis-4238 513 3 , , PUNCT fis-4238 513 4 97 97 NUM fis-4238 513 5 , , PUNCT fis-4238 513 6 pp pp ADJ fis-4238 513 7 . . PUNCT fis-4238 513 8 102220 102220 NUM fis-4238 513 9 . . PUNCT fis-4238 514 1 doi doi NOUN fis-4238 514 2 : : PUNCT fis-4238 514 3 10.1016 10.1016 NUM fis-4238 514 4 / / SYM fis-4238 514 5 j.strusafe.2022.102220 j.strusafe.2022.102220 NOUN fis-4238 514 6 . . PUNCT fis-4238 515 1 [ [ X fis-4238 515 2 3 3 NUM fis-4238 515 3 ] ] X fis-4238 515 4 qian qian PROPN fis-4238 515 5 , , PUNCT fis-4238 515 6 h.-m h.-m PROPN fis-4238 515 7 . . PUNCT fis-4238 515 8 , , PUNCT fis-4238 515 9 wei wei PROPN fis-4238 515 10 , , PUNCT fis-4238 515 11 j. j. PROPN fis-4238 515 12 and and CCONJ fis-4238 515 13 huang huang PROPN fis-4238 515 14 , , PUNCT fis-4238 515 15 h.-z h.-z PROPN fis-4238 515 16 . . PUNCT fis-4238 516 1 ( ( PUNCT fis-4238 516 2 2023 2023 NUM fis-4238 516 3 ) ) PUNCT fis-4238 516 4 . . PUNCT fis-4238 517 1 structural structural ADJ fis-4238 517 2 fatigue fatigue NOUN fis-4238 517 3 reliability reliability NOUN fis-4238 517 4 analysis analysis NOUN fis-4238 517 5 based base VERB fis-4238 517 6 on on ADP fis-4238 517 7 active active ADJ fis-4238 517 8 learning learning NOUN fis-4238 517 9 kriging krige VERB fis-4238 517 10 model model NOUN fis-4238 517 11 . . PUNCT fis-4238 518 1 international international ADJ fis-4238 518 2 journal journal PROPN fis-4238 518 3 of of ADP fis-4238 518 4 fatigue fatigue NOUN fis-4238 518 5 , , PUNCT fis-4238 518 6 172 172 NUM fis-4238 518 7 , , PUNCT fis-4238 518 8 pp pp ADJ fis-4238 518 9 . . PUNCT fis-4238 519 1 107639 107639 NUM fis-4238 519 2 . . PUNCT fis-4238 520 1 doi doi NOUN fis-4238 520 2 : : PUNCT fis-4238 520 3 10.1016 10.1016 NUM fis-4238 520 4 / / SYM fis-4238 520 5 j.ijfatigue.2023.107639 j.ijfatigue.2023.107639 PROPN fis-4238 520 6 . . PUNCT fis-4238 521 1 [ [ X fis-4238 521 2 4 4 NUM fis-4238 521 3 ] ] X fis-4238 521 4 zhang zhang PROPN fis-4238 521 5 , , PUNCT fis-4238 521 6 z. z. PROPN fis-4238 521 7 , , PUNCT fis-4238 521 8 zhao zhao PROPN fis-4238 521 9 , , PUNCT fis-4238 521 10 c. c. PROPN fis-4238 521 11 , , PUNCT fis-4238 521 12 zhao zhao PROPN fis-4238 521 13 , , PUNCT fis-4238 521 14 z. z. PROPN fis-4238 521 15 , , PUNCT fis-4238 521 16 wang wang PROPN fis-4238 521 17 , , PUNCT fis-4238 521 18 f. f. PROPN fis-4238 521 19 and and CCONJ fis-4238 521 20 zhao zhao PROPN fis-4238 521 21 , , PUNCT fis-4238 521 22 b. b. PROPN fis-4238 521 23 ( ( PUNCT fis-4238 521 24 2023 2023 NUM fis-4238 521 25 ) ) PUNCT fis-4238 521 26 . . PUNCT fis-4238 521 27 structural structural ADJ fis-4238 521 28 fatigue fatigue NOUN fis-4238 521 29 reliability reliability NOUN fis-4238 521 30 evaluation evaluation NOUN fis-4238 521 31 based base VERB fis-4238 521 32 on on ADP fis-4238 521 33 probability probability NOUN fis-4238 521 34 analysis analysis NOUN fis-4238 521 35 of of ADP fis-4238 521 36 the the DET fis-4238 521 37 number number NOUN fis-4238 521 38 of of ADP fis-4238 521 39 zero zero NUM fis-4238 521 40 - - PUNCT fis-4238 521 41 crossings crossing NOUN fis-4238 521 42 stochastic stochastic ADJ fis-4238 521 43 response response NOUN fis-4238 521 44 process process NOUN fis-4238 521 45 . . PUNCT fis-4238 522 1 engineering engineering NOUN fis-4238 522 2 failure failure NOUN fis-4238 522 3 analysis analysis NOUN fis-4238 522 4 , , PUNCT fis-4238 522 5 143 143 NUM fis-4238 522 6 , , PUNCT fis-4238 522 7 pp pp ADJ fis-4238 522 8 . . PUNCT fis-4238 523 1 106923 106923 NUM fis-4238 523 2 . . PUNCT fis-4238 524 1 doi doi NOUN fis-4238 524 2 : : PUNCT fis-4238 524 3 10.1016 10.1016 NUM fis-4238 524 4 / / SYM fis-4238 524 5 j.engfailanal.2022.106923 j.engfailanal.2022.106923 NOUN fis-4238 524 6 . . PUNCT fis-4238 525 1 [ [ X fis-4238 525 2 5 5 NUM fis-4238 525 3 ] ] SYM fis-4238 525 4 fan fan PROPN fis-4238 525 5 , , PUNCT fis-4238 525 6 j. j. PROPN fis-4238 525 7 , , PUNCT fis-4238 525 8 liao liao PROPN fis-4238 525 9 , , PUNCT fis-4238 525 10 h. h. PROPN fis-4238 525 11 , , PUNCT fis-4238 525 12 wang wang PROPN fis-4238 525 13 , , PUNCT fis-4238 525 14 h. h. PROPN fis-4238 525 15 , , PUNCT fis-4238 525 16 hu hu PROPN fis-4238 525 17 , , PUNCT fis-4238 525 18 j. j. PROPN fis-4238 525 19 , , PUNCT fis-4238 525 20 chen chen PROPN fis-4238 525 21 , , PUNCT fis-4238 525 22 z. z. PROPN fis-4238 525 23 , , PUNCT fis-4238 525 24 lu lu PROPN fis-4238 525 25 , , PUNCT fis-4238 525 26 j. j. PROPN fis-4238 525 27 and and CCONJ fis-4238 525 28 li li PROPN fis-4238 525 29 , , PUNCT fis-4238 525 30 b. b. PROPN fis-4238 525 31 ( ( PUNCT fis-4238 525 32 2018 2018 NUM fis-4238 525 33 ) ) PUNCT fis-4238 525 34 . . PUNCT fis-4238 526 1 local local ADJ fis-4238 526 2 maximum maximum ADJ fis-4238 526 3 - - PUNCT fis-4238 526 4 entropy entropy NOUN fis-4238 526 5 based base VERB fis-4238 526 6 surrogate surrogate ADJ fis-4238 526 7 model model NOUN fis-4238 526 8 and and CCONJ fis-4238 526 9 its its PRON fis-4238 526 10 application application NOUN fis-4238 526 11 to to ADP fis-4238 526 12 structural structural ADJ fis-4238 526 13 reliability reliability NOUN fis-4238 526 14 analysis analysis NOUN fis-4238 526 15 . . PUNCT fis-4238 527 1 structural structural ADJ fis-4238 527 2 and and CCONJ fis-4238 527 3 multidisciplinary multidisciplinary ADJ fis-4238 527 4 optimization optimization NOUN fis-4238 527 5 , , PUNCT fis-4238 527 6 57 57 NUM fis-4238 527 7 , , PUNCT fis-4238 527 8 pp pp ADJ fis-4238 527 9 . . PUNCT fis-4238 528 1 373 373 NUM fis-4238 528 2 - - SYM fis-4238 528 3 392 392 NUM fis-4238 528 4 . . PUNCT fis-4238 528 5 doi doi NOUN fis-4238 528 6 : : PUNCT fis-4238 528 7 10.1007 10.1007 NUM fis-4238 528 8 / / SYM fis-4238 528 9 s00158 s00158 NOUN fis-4238 528 10 - - PUNCT fis-4238 528 11 017 017 NUM fis-4238 528 12 - - PUNCT fis-4238 528 13 1760 1760 NUM fis-4238 528 14 - - PUNCT fis-4238 528 15 y. y. NOUN fis-4238 529 1 [ [ X fis-4238 529 2 6 6 NUM fis-4238 529 3 ] ] SYM fis-4238 529 4 jing jing PROPN fis-4238 529 5 , , PUNCT fis-4238 529 6 g. g. PROPN fis-4238 529 7 , , PUNCT fis-4238 529 8 lyu lyu PROPN fis-4238 529 9 , , PUNCT fis-4238 529 10 z. z. PROPN fis-4238 529 11 , , PUNCT fis-4238 529 12 liu liu PROPN fis-4238 529 13 , , PUNCT fis-4238 529 14 y. y. PROPN fis-4238 529 15 , , PUNCT fis-4238 529 16 xiao xiao PROPN fis-4238 529 17 , , PUNCT fis-4238 529 18 s. s. PROPN fis-4238 529 19 , , PUNCT fis-4238 529 20 zhou zhou PROPN fis-4238 529 21 , , PUNCT fis-4238 529 22 h. h. PROPN fis-4238 529 23 and and CCONJ fis-4238 529 24 li li PROPN fis-4238 529 25 , , PUNCT fis-4238 529 26 s. s. PROPN fis-4238 529 27 ( ( PUNCT fis-4238 529 28 2022 2022 NUM fis-4238 529 29 ) ) PUNCT fis-4238 529 30 . . PUNCT fis-4238 530 1 reliability reliability NOUN fis-4238 530 2 study study NOUN fis-4238 530 3 for for ADP fis-4238 530 4 diesel diesel NOUN fis-4238 530 5 engine engine NOUN fis-4238 530 6 cylinder cylinder NOUN fis-4238 530 7 head head NOUN fis-4238 530 8 through through ADP fis-4238 530 9 fatigue fatigue NOUN fis-4238 530 10 failure failure NOUN fis-4238 530 11 analysis analysis NOUN fis-4238 530 12 and and CCONJ fis-4238 530 13 structural structural ADJ fis-4238 530 14 optimization optimization NOUN fis-4238 530 15 . . PUNCT fis-4238 531 1 engineering engineering NOUN fis-4238 531 2 failure failure NOUN fis-4238 531 3 analysis analysis NOUN fis-4238 531 4 , , PUNCT fis-4238 531 5 142 142 NUM fis-4238 531 6 , , PUNCT fis-4238 531 7 pp pp ADJ fis-4238 531 8 . . PUNCT fis-4238 531 9 106768 106768 NUM fis-4238 531 10 . . PUNCT fis-4238 532 1 doi doi NOUN fis-4238 532 2 : : PUNCT fis-4238 532 3 10.1016 10.1016 NUM fis-4238 532 4 / / SYM fis-4238 532 5 j.engfailanal.2022.106768 j.engfailanal.2022.106768 NOUN fis-4238 532 6 . . PUNCT fis-4238 533 1 [ [ X fis-4238 533 2 7 7 NUM fis-4238 533 3 ] ] X fis-4238 533 4 staroverov staroverov X fis-4238 533 5 , , PUNCT fis-4238 533 6 o. o. PROPN fis-4238 533 7 , , PUNCT fis-4238 533 8 mugatarov mugatarov PROPN fis-4238 533 9 , , PUNCT fis-4238 533 10 a. a. NOUN fis-4238 533 11 , , PUNCT fis-4238 533 12 yankin yankin NOUN fis-4238 533 13 , , PUNCT fis-4238 533 14 a. a. NOUN fis-4238 533 15 and and CCONJ fis-4238 533 16 wildermann wildermann PROPN fis-4238 533 17 , , PUNCT fis-4238 533 18 v. v. PROPN fis-4238 533 19 ( ( PUNCT fis-4238 533 20 2022 2022 NUM fis-4238 533 21 ) ) PUNCT fis-4238 533 22 . . PUNCT fis-4238 534 1 description description NOUN fis-4238 534 2 of of ADP fis-4238 534 3 fatigue fatigue NOUN fis-4238 534 4 sensitivity sensitivity NOUN fis-4238 534 5 curves curve NOUN fis-4238 534 6 and and CCONJ fis-4238 534 7 transition transition NOUN fis-4238 534 8 to to ADP fis-4238 534 9 critical critical ADJ fis-4238 534 10 states state NOUN fis-4238 534 11 of of ADP fis-4238 534 12 polymer polymer NOUN fis-4238 534 13 composites composite NOUN fis-4238 534 14 by by ADP fis-4238 534 15 cumulative cumulative ADJ fis-4238 534 16 distribution distribution NOUN fis-4238 534 17 functions function NOUN fis-4238 534 18 . . PUNCT fis-4238 535 1 frattura frattura PROPN fis-4238 535 2 ed ed PROPN fis-4238 535 3 integrità integrità PROPN fis-4238 535 4 strutturale strutturale PROPN fis-4238 535 5 , , PUNCT fis-4238 535 6 17(63 17(63 NUM fis-4238 535 7 ) ) PUNCT fis-4238 535 8 , , PUNCT fis-4238 535 9 pp pp ADP fis-4238 535 10 . . PUNCT fis-4238 536 1 91 91 NUM fis-4238 536 2 - - SYM fis-4238 536 3 99 99 NUM fis-4238 536 4 . . PUNCT fis-4238 536 5 doi doi NOUN fis-4238 536 6 : : PUNCT fis-4238 536 7 10.3221 10.3221 NUM fis-4238 536 8 / / SYM fis-4238 536 9 igf igf PROPN fis-4238 536 10 - - PROPN fis-4238 536 11 esis.63.09 esis.63.09 PROPN fis-4238 536 12 . . PUNCT fis-4238 537 1 [ [ X fis-4238 537 2 8 8 NUM fis-4238 537 3 ] ] X fis-4238 537 4 kim kim PROPN fis-4238 537 5 , , PUNCT fis-4238 537 6 h.-s h.-s PROPN fis-4238 537 7 . . PUNCT fis-4238 537 8 , , PUNCT fis-4238 537 9 kim kim PROPN fis-4238 537 10 , , PUNCT fis-4238 537 11 b.w b.w PROPN fis-4238 537 12 . . PROPN fis-4238 537 13 , , PUNCT fis-4238 537 14 lee lee PROPN fis-4238 537 15 , , PUNCT fis-4238 537 16 k. k. PROPN fis-4238 537 17 and and CCONJ fis-4238 537 18 sung sung PROPN fis-4238 537 19 , , PUNCT fis-4238 537 20 h.g h.g PROPN fis-4238 537 21 . . PUNCT fis-4238 537 22 ( ( PUNCT fis-4238 537 23 2022 2022 NUM fis-4238 537 24 ) ) PUNCT fis-4238 537 25 . . PUNCT fis-4238 538 1 application application NOUN fis-4238 538 2 of of ADP fis-4238 538 3 average average ADJ fis-4238 538 4 sea sea NOUN fis-4238 538 5 - - PUNCT fis-4238 538 6 state state NOUN fis-4238 538 7 method method NOUN fis-4238 538 8 for for ADP fis-4238 538 9 fast fast ADJ fis-4238 538 10 estimation estimation NOUN fis-4238 538 11 of of ADP fis-4238 538 12 fatigue fatigue NOUN fis-4238 538 13 damage damage NOUN fis-4238 538 14 of of ADP fis-4238 538 15 offshore offshore ADJ fis-4238 538 16 structure structure NOUN fis-4238 538 17 in in ADP fis-4238 538 18 waves wave NOUN fis-4238 538 19 with with ADP fis-4238 538 20 various various ADJ fis-4238 538 21 distribution distribution NOUN fis-4238 538 22 types type NOUN fis-4238 538 23 of of ADP fis-4238 538 24 occurrence occurrence NOUN fis-4238 538 25 probability probability NOUN fis-4238 538 26 . . PUNCT fis-4238 539 1 ocean ocean PROPN fis-4238 539 2 engineering engineering PROPN fis-4238 539 3 , , PUNCT fis-4238 539 4 246 246 NUM fis-4238 539 5 , , PUNCT fis-4238 539 6 pp pp ADJ fis-4238 539 7 . . PUNCT fis-4238 540 1 110601 110601 NUM fis-4238 540 2 . . PUNCT fis-4238 541 1 doi doi NOUN fis-4238 541 2 : : PUNCT fis-4238 541 3 10.1016 10.1016 NUM fis-4238 541 4 / / SYM fis-4238 541 5 j.oceaneng.2022.110601 j.oceaneng.2022.110601 PROPN fis-4238 541 6 . . PUNCT fis-4238 542 1 [ [ X fis-4238 542 2 9 9 NUM fis-4238 542 3 ] ] SYM fis-4238 542 4 yang yang PROPN fis-4238 542 5 , , PUNCT fis-4238 542 6 x. x. PROPN fis-4238 542 7 , , PUNCT fis-4238 542 8 fan fan PROPN fis-4238 542 9 , , PUNCT fis-4238 542 10 w. w. PROPN fis-4238 542 11 and and CCONJ fis-4238 542 12 li li PROPN fis-4238 542 13 , , PUNCT fis-4238 542 14 z. z. PROPN fis-4238 542 15 ( ( PUNCT fis-4238 542 16 2022 2022 NUM fis-4238 542 17 ) ) PUNCT fis-4238 542 18 . . PUNCT fis-4238 543 1 stochastic stochastic ADJ fis-4238 543 2 analysis analysis NOUN fis-4238 543 3 of of ADP fis-4238 543 4 fatigue fatigue NOUN fis-4238 543 5 damage damage NOUN fis-4238 543 6 of of ADP fis-4238 543 7 transmission transmission NOUN fis-4238 543 8 tower tower NOUN fis-4238 543 9 - - PUNCT fis-4238 543 10 line line NOUN fis-4238 543 11 system system NOUN fis-4238 543 12 using use VERB fis-4238 543 13 kriging krige VERB fis-4238 543 14 and and CCONJ fis-4238 543 15 bayesian bayesian NOUN fis-4238 543 16 updated update VERB fis-4238 543 17 probability probability NOUN fis-4238 543 18 density density NOUN fis-4238 543 19 evolution evolution NOUN fis-4238 543 20 methods method NOUN fis-4238 543 21 . . PUNCT fis-4238 544 1 international international ADJ fis-4238 544 2 journal journal NOUN fis-4238 544 3 of of ADP fis-4238 544 4 structural structural ADJ fis-4238 544 5 stability stability NOUN fis-4238 544 6 and and CCONJ fis-4238 544 7 dynamics dynamic NOUN fis-4238 544 8 , , PUNCT fis-4238 544 9 22 22 NUM fis-4238 544 10 ( ( PUNCT fis-4238 544 11 3n04 3n04 NUM fis-4238 544 12 ) ) PUNCT fis-4238 544 13 . . PUNCT fis-4238 545 1 doi doi NOUN fis-4238 545 2 : : PUNCT fis-4238 545 3 10.1142 10.1142 NUM fis-4238 545 4 / / SYM fis-4238 545 5 s0219455422400090 s0219455422400090 VERB fis-4238 545 6 . . PUNCT fis-4238 546 1 [ [ X fis-4238 546 2 10 10 NUM fis-4238 546 3 ] ] X fis-4238 546 4 heng heng PROPN fis-4238 546 5 , , PUNCT fis-4238 546 6 j. j. PROPN fis-4238 546 7 , , PUNCT fis-4238 546 8 zheng zheng PROPN fis-4238 546 9 , , PUNCT fis-4238 546 10 k. k. PROPN fis-4238 546 11 , , PUNCT fis-4238 546 12 kaewunruen kaewunruen PROPN fis-4238 546 13 , , PUNCT fis-4238 546 14 s. s. PROPN fis-4238 546 15 , , PUNCT fis-4238 546 16 zhu zhu PROPN fis-4238 546 17 , , PUNCT fis-4238 546 18 j. j. PROPN fis-4238 546 19 and and CCONJ fis-4238 546 20 baniotopoulos baniotopoulos PROPN fis-4238 546 21 c. c. PROPN fis-4238 546 22 ( ( PUNCT fis-4238 546 23 2019 2019 NUM fis-4238 546 24 ) ) PUNCT fis-4238 546 25 . . PUNCT fis-4238 547 1 dynamic dynamic ADJ fis-4238 547 2 bayesian bayesian NOUN fis-4238 547 3 network network NOUN fis-4238 547 4 - - PUNCT fis-4238 547 5 based base VERB fis-4238 547 6 systemlevel systemlevel NOUN fis-4238 547 7 evaluation evaluation NOUN fis-4238 547 8 on on ADP fis-4238 547 9 fatigue fatigue NOUN fis-4238 547 10 reliability reliability NOUN fis-4238 547 11 of of ADP fis-4238 547 12 orthotropic orthotropic ADJ fis-4238 547 13 steel steel NOUN fis-4238 547 14 decks deck NOUN fis-4238 547 15 . . PUNCT fis-4238 548 1 engineering engineering NOUN fis-4238 548 2 failure failure NOUN fis-4238 548 3 analysis analysis NOUN fis-4238 548 4 , , PUNCT fis-4238 548 5 105 105 NUM fis-4238 548 6 , , PUNCT fis-4238 548 7 pp pp ADJ fis-4238 548 8 . . PUNCT fis-4238 549 1 1212 1212 NUM fis-4238 549 2 - - SYM fis-4238 549 3 1228 1228 NUM fis-4238 549 4 . . PUNCT fis-4238 550 1 doi doi NOUN fis-4238 550 2 : : PUNCT fis-4238 550 3 10.1016 10.1016 NUM fis-4238 550 4 / / SYM fis-4238 550 5 j.engfailanal.2019.06.092 j.engfailanal.2019.06.092 PROPN fis-4238 550 6 . . PUNCT fis-4238 551 1 [ [ X fis-4238 551 2 11 11 NUM fis-4238 551 3 ] ] SYM fis-4238 551 4 li li PROPN fis-4238 551 5 , , PUNCT fis-4238 551 6 y. y. PROPN fis-4238 551 7 , , PUNCT fis-4238 551 8 zhi zhi PROPN fis-4238 551 9 , , PUNCT fis-4238 551 10 p. p. PROPN fis-4238 551 11 , , PUNCT fis-4238 551 12 zhang zhang PROPN fis-4238 551 13 , , PUNCT fis-4238 551 14 y. y. PROPN fis-4238 551 15 , , PUNCT fis-4238 551 16 chen chen PROPN fis-4238 551 17 , , PUNCT fis-4238 551 18 b. b. PROPN fis-4238 551 19 and and CCONJ fis-4238 551 20 wang wang PROPN fis-4238 551 21 , , PUNCT fis-4238 551 22 y. y. PROPN fis-4238 551 23 ( ( PUNCT fis-4238 551 24 2020 2020 NUM fis-4238 551 25 ) ) PUNCT fis-4238 551 26 . . PUNCT fis-4238 552 1 fatigue fatigue NOUN fis-4238 552 2 reliability reliability NOUN fis-4238 552 3 analysis analysis NOUN fis-4238 552 4 of of ADP fis-4238 552 5 motor motor NOUN fis-4238 552 6 hanger hanger NOUN fis-4238 552 7 for for ADP fis-4238 552 8 high high ADJ fis-4238 552 9 - - PUNCT fis-4238 552 10 speed speed NOUN fis-4238 552 11 train train NOUN fis-4238 552 12 based base VERB fis-4238 552 13 on on ADP fis-4238 552 14 bayesian bayesian NOUN fis-4238 552 15 updating updating NOUN fis-4238 552 16 and and CCONJ fis-4238 552 17 subset subset ADJ fis-4238 552 18 simulation simulation NOUN fis-4238 552 19 . . PUNCT fis-4238 553 1 advances advance NOUN fis-4238 553 2 in in ADP fis-4238 553 3 materials material NOUN fis-4238 553 4 science science NOUN fis-4238 553 5 and and CCONJ fis-4238 553 6 engineering engineering NOUN fis-4238 553 7 2020 2020 NUM fis-4238 553 8 , , PUNCT fis-4238 553 9 pp pp ADJ fis-4238 553 10 . . PUNCT fis-4238 554 1 110 110 NUM fis-4238 554 2 . . PUNCT fis-4238 554 3 doi doi NOUN fis-4238 554 4 : : PUNCT fis-4238 554 5 10.1155/2020/3012471 10.1155/2020/3012471 NUM fis-4238 554 6 . . PUNCT fis-4238 555 1 [ [ X fis-4238 555 2 12 12 NUM fis-4238 555 3 ] ] X fis-4238 555 4 gray gray ADJ fis-4238 555 5 , , PUNCT fis-4238 555 6 a. a. NOUN fis-4238 555 7 , , PUNCT fis-4238 555 8 wimbush wimbush NOUN fis-4238 555 9 , , PUNCT fis-4238 555 10 a. a. NOUN fis-4238 555 11 , , PUNCT fis-4238 555 12 de de PROPN fis-4238 555 13 angelis angelis PROPN fis-4238 555 14 , , PUNCT fis-4238 555 15 m. m. NOUN fis-4238 555 16 , , PUNCT fis-4238 555 17 hristov hristov PROPN fis-4238 555 18 , , PUNCT fis-4238 555 19 p.o p.o PROPN fis-4238 555 20 . . PROPN fis-4238 555 21 , , PUNCT fis-4238 555 22 calleja calleja PROPN fis-4238 555 23 , , PUNCT fis-4238 555 24 d. d. PROPN fis-4238 555 25 , , PUNCT fis-4238 555 26 miralles miralle NOUN fis-4238 555 27 - - ADJ fis-4238 555 28 dolz dolz ADJ fis-4238 555 29 , , PUNCT fis-4238 555 30 e. e. PROPN fis-4238 555 31 and and CCONJ fis-4238 555 32 rocchetta rocchetta PROPN fis-4238 555 33 , , PUNCT fis-4238 555 34 r. r. PROPN fis-4238 555 35 ( ( PUNCT fis-4238 555 36 2022 2022 NUM fis-4238 555 37 ) ) PUNCT fis-4238 555 38 . . PUNCT fis-4238 556 1 from from ADP fis-4238 556 2 inference inference NOUN fis-4238 556 3 to to AUX fis-4238 556 4 design design VERB fis-4238 556 5 : : PUNCT fis-4238 556 6 a a DET fis-4238 556 7 comprehensive comprehensive ADJ fis-4238 556 8 framework framework NOUN fis-4238 556 9 for for ADP fis-4238 556 10 uncertainty uncertainty NOUN fis-4238 556 11 quantification quantification NOUN fis-4238 556 12 in in ADP fis-4238 556 13 engineering engineering NOUN fis-4238 556 14 with with ADP fis-4238 556 15 limited limited ADJ fis-4238 556 16 information information NOUN fis-4238 556 17 . . PUNCT fis-4238 557 1 mechanical mechanical ADJ fis-4238 557 2 systems system NOUN fis-4238 557 3 and and CCONJ fis-4238 557 4 signal signal NOUN fis-4238 557 5 processing processing NOUN fis-4238 557 6 , , PUNCT fis-4238 557 7 165 165 NUM fis-4238 557 8 , , PUNCT fis-4238 557 9 pp pp ADJ fis-4238 557 10 . . PUNCT fis-4238 557 11 108210 108210 NUM fis-4238 557 12 . . PUNCT fis-4238 558 1 doi doi NOUN fis-4238 558 2 : : PUNCT fis-4238 558 3 10.1016 10.1016 NUM fis-4238 558 4 / / SYM fis-4238 558 5 j.ymssp.2021.108210 j.ymssp.2021.108210 NOUN fis-4238 558 6 . . PUNCT fis-4238 559 1 [ [ X fis-4238 559 2 13 13 NUM fis-4238 559 3 ] ] X fis-4238 559 4 iskandar iskandar PROPN fis-4238 559 5 , , PUNCT fis-4238 559 6 r. r. PROPN fis-4238 559 7 ( ( PUNCT fis-4238 559 8 2021 2021 NUM fis-4238 559 9 ) ) PUNCT fis-4238 559 10 . . PUNCT fis-4238 560 1 probability probability NOUN fis-4238 560 2 bound bind VERB fis-4238 560 3 analysis analysis NOUN fis-4238 560 4 : : PUNCT fis-4238 560 5 a a DET fis-4238 560 6 novel novel ADJ fis-4238 560 7 approach approach NOUN fis-4238 560 8 for for ADP fis-4238 560 9 quantifying quantify VERB fis-4238 560 10 parameter parameter NOUN fis-4238 560 11 uncertainty uncertainty NOUN fis-4238 560 12 in in ADP fis-4238 560 13 decisionanalytic decisionanalytic ADJ fis-4238 560 14 modeling modeling NOUN fis-4238 560 15 and and CCONJ fis-4238 560 16 cost cost NOUN fis-4238 560 17 - - PUNCT fis-4238 560 18 effectiveness effectiveness NOUN fis-4238 560 19 analysis analysis NOUN fis-4238 560 20 . . PUNCT fis-4238 561 1 statistic statistic NOUN fis-4238 561 2 in in ADP fis-4238 561 3 medicine medicine NOUN fis-4238 561 4 , , PUNCT fis-4238 561 5 40(29 40(29 PROPN fis-4238 561 6 ) ) PUNCT fis-4238 561 7 , , PUNCT fis-4238 561 8 pp pp ADP fis-4238 561 9 . . PUNCT fis-4238 562 1 6501 6501 NUM fis-4238 562 2 - - SYM fis-4238 562 3 6522 6522 NUM fis-4238 562 4 . . PUNCT fis-4238 563 1 doi doi NOUN fis-4238 563 2 : : PUNCT fis-4238 563 3 10.1002 10.1002 NUM fis-4238 563 4 / / SYM fis-4238 563 5 sim.9195 sim.9195 NOUN fis-4238 563 6 . . PUNCT fis-4238 564 1 [ [ X fis-4238 564 2 14 14 NUM fis-4238 564 3 ] ] X fis-4238 564 4 nonato nonato PROPN fis-4238 564 5 , , PUNCT fis-4238 564 6 r.b.p r.b.p NOUN fis-4238 564 7 . . PUNCT fis-4238 565 1 ( ( PUNCT fis-4238 565 2 2020 2020 NUM fis-4238 565 3 ) ) PUNCT fis-4238 565 4 . . PUNCT fis-4238 566 1 bi bi ADJ fis-4238 566 2 - - ADJ fis-4238 566 3 level level ADJ fis-4238 566 4 hybrid hybrid ADJ fis-4238 566 5 uncertainty uncertainty NOUN fis-4238 566 6 quantification quantification NOUN fis-4238 566 7 in in ADP fis-4238 566 8 fatigue fatigue NOUN fis-4238 566 9 analysis analysis NOUN fis-4238 566 10 : : PUNCT fis-4238 566 11 s s X fis-4238 566 12 - - PUNCT fis-4238 566 13 n n PRON fis-4238 566 14 curve curve NOUN fis-4238 566 15 approach approach NOUN fis-4238 566 16 , , PUNCT fis-4238 566 17 frattura frattura PROPN fis-4238 566 18 ed ed PROPN fis-4238 566 19 integrità integrità PROPN fis-4238 566 20 strutturale strutturale PROPN fis-4238 566 21 . . PUNCT fis-4238 567 1 54 54 NUM fis-4238 567 2 , , PUNCT fis-4238 567 3 pp pp ADJ fis-4238 567 4 . . PUNCT fis-4238 568 1 88 88 NUM fis-4238 568 2 - - SYM fis-4238 568 3 103 103 NUM fis-4238 568 4 . . PUNCT fis-4238 569 1 doi doi NOUN fis-4238 569 2 : : PUNCT fis-4238 569 3 10.3221 10.3221 NUM fis-4238 569 4 / / SYM fis-4238 569 5 igf igf PROPN fis-4238 569 6 - - PROPN fis-4238 569 7 esis.54.06 esis.54.06 NOUN fis-4238 569 8 . . PUNCT fis-4238 570 1 [ [ X fis-4238 570 2 15 15 NUM fis-4238 570 3 ] ] X fis-4238 570 4 shannon shannon PROPN fis-4238 570 5 , , PUNCT fis-4238 570 6 c.e c.e PROPN fis-4238 570 7 . . PROPN fis-4238 570 8 ( ( PUNCT fis-4238 570 9 1948 1948 NUM fis-4238 570 10 ) ) PUNCT fis-4238 570 11 . . PUNCT fis-4238 571 1 a a DET fis-4238 571 2 mathematical mathematical ADJ fis-4238 571 3 theory theory NOUN fis-4238 571 4 of of ADP fis-4238 571 5 communication communication NOUN fis-4238 571 6 , , PUNCT fis-4238 571 7 bell bell NOUN fis-4238 571 8 system system NOUN fis-4238 571 9 technical technical ADJ fis-4238 571 10 journal journal PROPN fis-4238 571 11 , , PUNCT fis-4238 571 12 27(3 27(3 NUM fis-4238 571 13 ) ) PUNCT fis-4238 571 14 , , PUNCT fis-4238 571 15 pp pp PROPN fis-4238 571 16 . . PUNCT fis-4238 572 1 379 379 NUM fis-4238 572 2 - - SYM fis-4238 572 3 423 423 NUM fis-4238 572 4 . . PUNCT fis-4238 573 1 [ [ X fis-4238 573 2 16 16 NUM fis-4238 573 3 ] ] X fis-4238 573 4 jaynes jaynes PROPN fis-4238 573 5 , , PUNCT fis-4238 573 6 e. e. PROPN fis-4238 573 7 ( ( PUNCT fis-4238 573 8 1982 1982 NUM fis-4238 573 9 ) ) PUNCT fis-4238 573 10 . . PUNCT fis-4238 574 1 on on ADP fis-4238 574 2 the the DET fis-4238 574 3 rationale rationale NOUN fis-4238 574 4 of of ADP fis-4238 574 5 maximum maximum ADJ fis-4238 574 6 - - PUNCT fis-4238 574 7 entropy entropy NOUN fis-4238 574 8 methods method NOUN fis-4238 574 9 . . PUNCT fis-4238 574 10 proceedings proceeding NOUN fis-4238 574 11 of of ADP fis-4238 574 12 the the DET fis-4238 574 13 ieee ieee NOUN fis-4238 574 14 , , PUNCT fis-4238 574 15 70(9 70(9 NUM fis-4238 574 16 ) ) PUNCT fis-4238 574 17 , , PUNCT fis-4238 574 18 pp pp ADJ fis-4238 574 19 . . PUNCT fis-4238 575 1 939 939 NUM fis-4238 575 2 - - SYM fis-4238 575 3 952 952 NUM fis-4238 575 4 . . PUNCT fis-4238 576 1 [ [ X fis-4238 576 2 17 17 NUM fis-4238 576 3 ] ] PUNCT fis-4238 576 4 ash ash NOUN fis-4238 576 5 , , PUNCT fis-4238 576 6 r.b r.b PROPN fis-4238 576 7 . . PROPN fis-4238 576 8 ( ( PUNCT fis-4238 576 9 1965 1965 NUM fis-4238 576 10 ) ) PUNCT fis-4238 576 11 . . PUNCT fis-4238 577 1 information information NOUN fis-4238 577 2 theory theory NOUN fis-4238 577 3 . . PUNCT fis-4238 578 1 urbana urbana PROPN fis-4238 578 2 , , PUNCT fis-4238 578 3 ash ash PROPN fis-4238 578 4 . . PUNCT fis-4238 579 1 t t PROPN fis-4238 579 2 r. r. PROPN fis-4238 579 3 b. b. PROPN fis-4238 579 4 p. p. PROPN fis-4238 579 5 nonato nonato PROPN fis-4238 579 6 , , PUNCT fis-4238 579 7 frattura frattura PROPN fis-4238 579 8 ed ed PROPN fis-4238 579 9 integrità integrità PROPN fis-4238 579 10 strutturale strutturale PROPN fis-4238 579 11 , , PUNCT fis-4238 579 12 65 65 NUM fis-4238 579 13 ( ( PUNCT fis-4238 579 14 2023 2023 NUM fis-4238 579 15 ) ) PUNCT fis-4238 579 16 17 17 NUM fis-4238 579 17 - - SYM fis-4238 579 18 37 37 NUM fis-4238 579 19 ; ; PUNCT fis-4238 579 20 doi doi NOUN fis-4238 579 21 : : PUNCT fis-4238 579 22 10.3221 10.3221 NUM fis-4238 579 23 / / SYM fis-4238 579 24 igf igf PROPN fis-4238 579 25 - - NOUN fis-4238 579 26 esis.66.02 esis.66.02 NOUN fis-4238 579 27 36 36 NUM fis-4238 580 1 [ [ SYM fis-4238 580 2 18 18 NUM fis-4238 580 3 ] ] PUNCT fis-4238 580 4 deely deely ADV fis-4238 580 5 , , PUNCT fis-4238 580 6 j.j j.j PROPN fis-4238 580 7 . . PROPN fis-4238 580 8 , , PUNCT fis-4238 580 9 tierney tierney PROPN fis-4238 580 10 m.s m.s PROPN fis-4238 580 11 . . PROPN fis-4238 580 12 and and CCONJ fis-4238 580 13 zimmer zimmer PROPN fis-4238 580 14 w.j w.j PROPN fis-4238 580 15 . . PROPN fis-4238 580 16 ( ( PUNCT fis-4238 580 17 1970 1970 NUM fis-4238 580 18 ) ) PUNCT fis-4238 580 19 . . PUNCT fis-4238 581 1 on on ADP fis-4238 581 2 the the DET fis-4238 581 3 usefulness usefulness NOUN fis-4238 581 4 of of ADP fis-4238 581 5 the the DET fis-4238 581 6 maximum maximum PROPN fis-4238 581 7 entropy entropy PROPN fis-4238 581 8 principle principle NOUN fis-4238 581 9 in in ADP fis-4238 581 10 the the DET fis-4238 581 11 bayesian bayesian NOUN fis-4238 581 12 estimation estimation NOUN fis-4238 581 13 of of ADP fis-4238 581 14 reliability reliability NOUN fis-4238 581 15 . . PUNCT fis-4238 582 1 ieee ieee NOUN fis-4238 582 2 transactions transaction NOUN fis-4238 582 3 on on ADP fis-4238 582 4 reliability reliability NOUN fis-4238 582 5 , , PUNCT fis-4238 582 6 r-19(3 r-19(3 PROPN fis-4238 582 7 ) ) PUNCT fis-4238 582 8 , , PUNCT fis-4238 582 9 pp pp ADJ fis-4238 582 10 . . PUNCT fis-4238 583 1 110 110 NUM fis-4238 583 2 - - SYM fis-4238 583 3 115 115 NUM fis-4238 583 4 . . PUNCT fis-4238 584 1 [ [ X fis-4238 584 2 19 19 NUM fis-4238 584 3 ] ] X fis-4238 584 4 picone picone PROPN fis-4238 584 5 , , PUNCT fis-4238 584 6 j. j. PROPN fis-4238 584 7 ( ( PUNCT fis-4238 584 8 1993 1993 NUM fis-4238 584 9 ) ) PUNCT fis-4238 584 10 . . PUNCT fis-4238 585 1 signal signal VERB fis-4238 585 2 modeling modeling NOUN fis-4238 585 3 techniques technique NOUN fis-4238 585 4 in in ADP fis-4238 585 5 speech speech NOUN fis-4238 585 6 recognition recognition NOUN fis-4238 585 7 . . PUNCT fis-4238 586 1 proceedings proceeding NOUN fis-4238 586 2 of of ADP fis-4238 586 3 the the DET fis-4238 586 4 ieee ieee NOUN fis-4238 586 5 , , PUNCT fis-4238 586 6 81(9 81(9 NOUN fis-4238 586 7 ) ) PUNCT fis-4238 586 8 , , PUNCT fis-4238 586 9 pp pp ADJ fis-4238 586 10 . . PUNCT fis-4238 587 1 1215 1215 NUM fis-4238 587 2 - - SYM fis-4238 587 3 1247 1247 NUM fis-4238 587 4 . . PUNCT fis-4238 588 1 [ [ X fis-4238 588 2 20 20 NUM fis-4238 588 3 ] ] X fis-4238 588 4 baggenstoss baggenstoss ADJ fis-4238 588 5 , , PUNCT fis-4238 588 6 p.m. p.m. PROPN fis-4238 588 7 ( ( PUNCT fis-4238 588 8 2014 2014 NUM fis-4238 588 9 ) ) PUNCT fis-4238 588 10 . . PUNCT fis-4238 588 11 optimal optimal ADJ fis-4238 588 12 detection detection NOUN fis-4238 588 13 and and CCONJ fis-4238 588 14 classification classification NOUN fis-4238 588 15 of of ADP fis-4238 588 16 diverse diverse ADJ fis-4238 588 17 short short ADJ fis-4238 588 18 - - PUNCT fis-4238 588 19 duration duration NOUN fis-4238 588 20 signals signal NOUN fis-4238 588 21 . . PUNCT fis-4238 589 1 ieee ieee PROPN fis-4238 589 2 international international PROPN fis-4238 589 3 conference conference NOUN fis-4238 589 4 on on ADP fis-4238 589 5 cloud cloud PROPN fis-4238 589 6 engineering engineering PROPN fis-4238 589 7 , , PUNCT fis-4238 589 8 boston boston PROPN fis-4238 589 9 , , PUNCT fis-4238 589 10 usa usa PROPN fis-4238 589 11 , , PUNCT fis-4238 589 12 11 11 NUM fis-4238 589 13 - - SYM fis-4238 589 14 14 14 NUM fis-4238 589 15 march march NOUN fis-4238 589 16 . . PUNCT fis-4238 590 1 doi doi NOUN fis-4238 590 2 : : PUNCT fis-4238 590 3 10.1109 10.1109 NUM fis-4238 590 4 / / SYM fis-4238 590 5 ic2e.2014.96 ic2e.2014.96 NOUN fis-4238 590 6 . . PUNCT fis-4238 591 1 [ [ X fis-4238 591 2 21 21 NUM fis-4238 591 3 ] ] X fis-4238 591 4 ranganathan ranganathan PROPN fis-4238 591 5 , , PUNCT fis-4238 591 6 r. r. PROPN fis-4238 591 7 ( ( PUNCT fis-4238 591 8 2006 2006 NUM fis-4238 591 9 ) ) PUNCT fis-4238 591 10 . . PUNCT fis-4238 592 1 structural structural ADJ fis-4238 592 2 reliability reliability NOUN fis-4238 592 3 analysis analysis NOUN fis-4238 592 4 and and CCONJ fis-4238 592 5 design design NOUN fis-4238 592 6 . . PUNCT fis-4238 593 1 mumbai mumbai PROPN fis-4238 593 2 , , PUNCT fis-4238 593 3 jaico jaico NOUN fis-4238 593 4 publishing publishing NOUN fis-4238 593 5 house house NOUN fis-4238 593 6 . . PUNCT fis-4238 594 1 [ [ X fis-4238 594 2 22 22 NUM fis-4238 594 3 ] ] PUNCT fis-4238 594 4 hertzberg hertzberg PROPN fis-4238 594 5 , , PUNCT fis-4238 594 6 r.w r.w PROPN fis-4238 594 7 . . PROPN fis-4238 594 8 ( ( PUNCT fis-4238 594 9 1996 1996 NUM fis-4238 594 10 ) ) PUNCT fis-4238 594 11 . . PUNCT fis-4238 595 1 deformation deformation NOUN fis-4238 595 2 and and CCONJ fis-4238 595 3 fracture fracture NOUN fis-4238 595 4 mechanics mechanic NOUN fis-4238 595 5 of of ADP fis-4238 595 6 engineering engineering NOUN fis-4238 595 7 materials material NOUN fis-4238 595 8 . . PUNCT fis-4238 596 1 new new PROPN fis-4238 596 2 york york PROPN fis-4238 596 3 , , PUNCT fis-4238 596 4 john john PROPN fis-4238 596 5 wiley wiley PROPN fis-4238 596 6 and and CCONJ fis-4238 596 7 sons son NOUN fis-4238 596 8 . . PUNCT fis-4238 597 1 [ [ X fis-4238 597 2 23 23 NUM fis-4238 597 3 ] ] X fis-4238 597 4 park park NOUN fis-4238 597 5 , , PUNCT fis-4238 597 6 j. j. PROPN fis-4238 597 7 , , PUNCT fis-4238 597 8 park park PROPN fis-4238 597 9 , , PUNCT fis-4238 597 10 y.c y.c PROPN fis-4238 597 11 . . PROPN fis-4238 597 12 , , PUNCT fis-4238 597 13 kim kim PROPN fis-4238 597 14 and and CCONJ fis-4238 597 15 h.k h.k PROPN fis-4238 597 16 . . PROPN fis-4238 597 17 ( ( PUNCT fis-4238 597 18 2018 2018 NUM fis-4238 597 19 ) ) PUNCT fis-4238 597 20 . . PUNCT fis-4238 598 1 a a DET fis-4238 598 2 methodology methodology NOUN fis-4238 598 3 for for ADP fis-4238 598 4 fatigue fatigue NOUN fis-4238 598 5 reliability reliability NOUN fis-4238 598 6 assessment assessment NOUN fis-4238 598 7 considering consider VERB fis-4238 598 8 stress stress NOUN fis-4238 598 9 range range NOUN fis-4238 598 10 distribution distribution NOUN fis-4238 598 11 truncation truncation NOUN fis-4238 598 12 . . PUNCT fis-4238 599 1 international international ADJ fis-4238 599 2 journal journal PROPN fis-4238 599 3 of of ADP fis-4238 599 4 steel steel NOUN fis-4238 599 5 structures structure NOUN fis-4238 599 6 , , PUNCT fis-4238 599 7 18 18 NUM fis-4238 599 8 , , PUNCT fis-4238 599 9 pp pp ADJ fis-4238 599 10 . . PUNCT fis-4238 600 1 1242 1242 NUM fis-4238 600 2 - - SYM fis-4238 600 3 1251 1251 NUM fis-4238 600 4 . . PUNCT fis-4238 601 1 doi doi NOUN fis-4238 601 2 : : PUNCT fis-4238 601 3 10.1007 10.1007 NUM fis-4238 601 4 / / SYM fis-4238 601 5 s13296 s13296 NOUN fis-4238 601 6 - - PUNCT fis-4238 601 7 018 018 NUM fis-4238 601 8 - - PUNCT fis-4238 601 9 0104 0104 NUM fis-4238 601 10 - - PUNCT fis-4238 601 11 0 0 NUM fis-4238 601 12 . . PUNCT fis-4238 602 1 [ [ X fis-4238 602 2 24 24 NUM fis-4238 602 3 ] ] X fis-4238 602 4 ghanem ghanem PROPN fis-4238 602 5 , , PUNCT fis-4238 602 6 r. r. PROPN fis-4238 602 7 , , PUNCT fis-4238 602 8 higdon higdon PROPN fis-4238 602 9 , , PUNCT fis-4238 602 10 d. d. PROPN fis-4238 602 11 and and CCONJ fis-4238 602 12 owhadi owhadi PROPN fis-4238 602 13 , , PUNCT fis-4238 602 14 h. h. PROPN fis-4238 602 15 ( ( PUNCT fis-4238 602 16 2017 2017 NUM fis-4238 602 17 ) ) PUNCT fis-4238 602 18 . . PUNCT fis-4238 603 1 handbook handbook NOUN fis-4238 603 2 of of ADP fis-4238 603 3 uncertainty uncertainty NOUN fis-4238 603 4 quantification quantification NOUN fis-4238 603 5 . . PUNCT fis-4238 604 1 cham cham PROPN fis-4238 604 2 , , PUNCT fis-4238 604 3 springer springer NOUN fis-4238 604 4 international international ADJ fis-4238 604 5 publishing publishing NOUN fis-4238 604 6 . . PUNCT fis-4238 605 1 doi doi NOUN fis-4238 605 2 : : PUNCT fis-4238 605 3 10.1007/978 10.1007/978 NUM fis-4238 605 4 - - SYM fis-4238 605 5 3 3 NUM fis-4238 605 6 - - NUM fis-4238 605 7 319 319 NUM fis-4238 605 8 - - PUNCT fis-4238 605 9 12385 12385 NUM fis-4238 605 10 - - PUNCT fis-4238 605 11 1 1 NUM fis-4238 605 12 . . PUNCT fis-4238 606 1 [ [ X fis-4238 606 2 25 25 NUM fis-4238 606 3 ] ] X fis-4238 606 4 papadopoulos papadopoulos PROPN fis-4238 606 5 , , PUNCT fis-4238 606 6 c. c. PROPN fis-4238 606 7 , , PUNCT fis-4238 606 8 hayes hayes PROPN fis-4238 606 9 , , PUNCT fis-4238 606 10 b.k b.k PROPN fis-4238 606 11 . . PROPN fis-4238 606 12 and and CCONJ fis-4238 606 13 newell newell PROPN fis-4238 606 14 , , PUNCT fis-4238 606 15 b.r b.r PROPN fis-4238 606 16 . . PROPN fis-4238 606 17 ( ( PUNCT fis-4238 606 18 2009 2009 NUM fis-4238 606 19 ) ) PUNCT fis-4238 606 20 . . PUNCT fis-4238 607 1 non non ADJ fis-4238 607 2 - - ADJ fis-4238 607 3 categorical categorical ADJ fis-4238 607 4 approaches approach NOUN fis-4238 607 5 to to ADP fis-4238 607 6 property property NOUN fis-4238 607 7 induction induction NOUN fis-4238 607 8 with with ADP fis-4238 607 9 uncertain uncertain ADJ fis-4238 607 10 categories category NOUN fis-4238 607 11 . . PUNCT fis-4238 608 1 proceedings proceeding NOUN fis-4238 608 2 of of ADP fis-4238 608 3 the the DET fis-4238 608 4 31st 31st ADJ fis-4238 608 5 annual annual ADJ fis-4238 608 6 conference conference NOUN fis-4238 608 7 of of ADP fis-4238 608 8 the the DET fis-4238 608 9 cognitive cognitive ADJ fis-4238 608 10 science science NOUN fis-4238 608 11 society society NOUN fis-4238 608 12 . . PUNCT fis-4238 609 1 [ [ X fis-4238 609 2 26 26 NUM fis-4238 609 3 ] ] X fis-4238 609 4 lloyd lloyd PROPN fis-4238 609 5 , , PUNCT fis-4238 609 6 s. s. PROPN fis-4238 609 7 and and CCONJ fis-4238 609 8 ries rie NOUN fis-4238 609 9 , , PUNCT fis-4238 609 10 r. r. PROPN fis-4238 609 11 ( ( PUNCT fis-4238 609 12 2007 2007 NUM fis-4238 609 13 ) ) PUNCT fis-4238 609 14 . . PUNCT fis-4238 610 1 characterizing characterizing NOUN fis-4238 610 2 , , PUNCT fis-4238 610 3 propagating propagating NOUN fis-4238 610 4 , , PUNCT fis-4238 610 5 and and CCONJ fis-4238 610 6 analyzing analyze VERB fis-4238 610 7 uncertainty uncertainty NOUN fis-4238 610 8 in in ADP fis-4238 610 9 life life NOUN fis-4238 610 10 - - PUNCT fis-4238 610 11 cycle cycle NOUN fis-4238 610 12 assessment assessment NOUN fis-4238 610 13 : : PUNCT fis-4238 610 14 a a DET fis-4238 610 15 survey survey NOUN fis-4238 610 16 of of ADP fis-4238 610 17 quantitative quantitative ADJ fis-4238 610 18 approaches approach NOUN fis-4238 610 19 . . PUNCT fis-4238 611 1 journal journal NOUN fis-4238 611 2 of of ADP fis-4238 611 3 industrial industrial ADJ fis-4238 611 4 ecology ecology NOUN fis-4238 611 5 , , PUNCT fis-4238 611 6 11 11 NUM fis-4238 611 7 , , PUNCT fis-4238 611 8 pp pp ADJ fis-4238 611 9 . . PUNCT fis-4238 612 1 161 161 NUM fis-4238 612 2 - - SYM fis-4238 612 3 179 179 NUM fis-4238 612 4 . . PUNCT fis-4238 613 1 doi doi NOUN fis-4238 613 2 : : PUNCT fis-4238 613 3 10.1162 10.1162 NUM fis-4238 613 4 / / SYM fis-4238 613 5 jiec.2007.1136 jiec.2007.1136 NOUN fis-4238 613 6 . . PUNCT fis-4238 614 1 [ [ X fis-4238 614 2 27 27 NUM fis-4238 614 3 ] ] PUNCT fis-4238 614 4 groen groen NOUN fis-4238 614 5 , , PUNCT fis-4238 614 6 e. e. PROPN fis-4238 614 7 , , PUNCT fis-4238 614 8 heijungs heijung NOUN fis-4238 614 9 , , PUNCT fis-4238 614 10 r. r. PROPN fis-4238 614 11 , , PUNCT fis-4238 614 12 bokkers bokker NOUN fis-4238 614 13 , , PUNCT fis-4238 614 14 e. e. PROPN fis-4238 614 15 and and CCONJ fis-4238 614 16 de de PROPN fis-4238 614 17 boer boer PROPN fis-4238 614 18 , , PUNCT fis-4238 614 19 i. i. PROPN fis-4238 614 20 ( ( PUNCT fis-4238 614 21 2014 2014 NUM fis-4238 614 22 ) ) PUNCT fis-4238 614 23 . . PUNCT fis-4238 615 1 methods method NOUN fis-4238 615 2 for for ADP fis-4238 615 3 uncertainty uncertainty NOUN fis-4238 615 4 propagation propagation NOUN fis-4238 615 5 in in ADP fis-4238 615 6 life life NOUN fis-4238 615 7 cycle cycle NOUN fis-4238 615 8 assessment assessment NOUN fis-4238 615 9 . . PUNCT fis-4238 616 1 environmental environmental ADJ fis-4238 616 2 modelling modelling NOUN fis-4238 616 3 and and CCONJ fis-4238 616 4 software software NOUN fis-4238 616 5 , , PUNCT fis-4238 616 6 62 62 NUM fis-4238 616 7 , , PUNCT fis-4238 616 8 pp pp ADJ fis-4238 616 9 . . PUNCT fis-4238 617 1 316 316 NUM fis-4238 617 2 - - SYM fis-4238 617 3 325 325 NUM fis-4238 617 4 . . PUNCT fis-4238 618 1 doi doi NOUN fis-4238 618 2 : : PUNCT fis-4238 618 3 10.1016 10.1016 NUM fis-4238 618 4 / / SYM fis-4238 618 5 j.envsoft.2014.10.006 j.envsoft.2014.10.006 PROPN fis-4238 618 6 . . PUNCT fis-4238 619 1 [ [ X fis-4238 619 2 28 28 NUM fis-4238 619 3 ] ] X fis-4238 619 4 ahmed ahmed PROPN fis-4238 619 5 , , PUNCT fis-4238 619 6 a. a. NOUN fis-4238 619 7 and and CCONJ fis-4238 619 8 soubra soubra NOUN fis-4238 619 9 , , PUNCT fis-4238 619 10 a.h a.h PROPN fis-4238 619 11 . . PROPN fis-4238 619 12 ( ( PUNCT fis-4238 619 13 2012 2012 NUM fis-4238 619 14 ) ) PUNCT fis-4238 619 15 . . PUNCT fis-4238 620 1 extension extension NOUN fis-4238 620 2 of of ADP fis-4238 620 3 subset subset ADJ fis-4238 620 4 simulation simulation NOUN fis-4238 620 5 approach approach NOUN fis-4238 620 6 for for ADP fis-4238 620 7 uncertainty uncertainty NOUN fis-4238 620 8 propagation propagation NOUN fis-4238 620 9 and and CCONJ fis-4238 620 10 global global ADJ fis-4238 620 11 sensitivity sensitivity NOUN fis-4238 620 12 analysis analysis NOUN fis-4238 620 13 . . PUNCT fis-4238 621 1 georisk georisk NOUN fis-4238 621 2 : : PUNCT fis-4238 621 3 assessment assessment NOUN fis-4238 621 4 and and CCONJ fis-4238 621 5 management management NOUN fis-4238 621 6 of of ADP fis-4238 621 7 risk risk NOUN fis-4238 621 8 for for ADP fis-4238 621 9 engineered engineer VERB fis-4238 621 10 systems system NOUN fis-4238 621 11 and and CCONJ fis-4238 621 12 geohazards geohazard NOUN fis-4238 621 13 , , PUNCT fis-4238 621 14 6(3 6(3 NOUN fis-4238 621 15 ) ) PUNCT fis-4238 621 16 , , PUNCT fis-4238 621 17 pp pp ADP fis-4238 621 18 . . PUNCT fis-4238 622 1 162 162 NUM fis-4238 622 2 - - SYM fis-4238 622 3 176 176 NUM fis-4238 622 4 . . PUNCT fis-4238 623 1 doi doi NOUN fis-4238 623 2 : : PUNCT fis-4238 623 3 10.1080/17499518.2012.656296 10.1080/17499518.2012.656296 NUM fis-4238 623 4 . . PUNCT fis-4238 624 1 [ [ X fis-4238 624 2 29 29 NUM fis-4238 624 3 ] ] X fis-4238 624 4 sheen sheen PROPN fis-4238 624 5 , , PUNCT fis-4238 624 6 d.a d.a PROPN fis-4238 624 7 . . PROPN fis-4238 624 8 and and CCONJ fis-4238 624 9 wang wang PROPN fis-4238 624 10 , , PUNCT fis-4238 624 11 h. h. PROPN fis-4238 624 12 ( ( PUNCT fis-4238 624 13 2011 2011 NUM fis-4238 624 14 ) ) PUNCT fis-4238 624 15 . . PUNCT fis-4238 625 1 the the DET fis-4238 625 2 method method NOUN fis-4238 625 3 of of ADP fis-4238 625 4 uncertainty uncertainty NOUN fis-4238 625 5 quantification quantification NOUN fis-4238 625 6 and and CCONJ fis-4238 625 7 minimization minimization NOUN fis-4238 625 8 using use VERB fis-4238 625 9 polynomial polynomial ADJ fis-4238 625 10 chaos chaos NOUN fis-4238 625 11 expansions expansion NOUN fis-4238 625 12 . . PUNCT fis-4238 626 1 combustion combustion NOUN fis-4238 626 2 and and CCONJ fis-4238 626 3 flame flame NOUN fis-4238 626 4 , , PUNCT fis-4238 626 5 158(12 158(12 NUM fis-4238 626 6 ) ) PUNCT fis-4238 626 7 , , PUNCT fis-4238 626 8 pp pp ADP fis-4238 626 9 . . PUNCT fis-4238 627 1 2358 2358 NUM fis-4238 627 2 - - SYM fis-4238 627 3 2374 2374 NUM fis-4238 627 4 . . PUNCT fis-4238 628 1 doi doi NOUN fis-4238 628 2 : : PUNCT fis-4238 628 3 10.1016 10.1016 NUM fis-4238 628 4 / / SYM fis-4238 628 5 j.combustflame.2011.05.010 j.combustflame.2011.05.010 PROPN fis-4238 628 6 . . PUNCT fis-4238 629 1 [ [ X fis-4238 629 2 30 30 NUM fis-4238 629 3 ] ] X fis-4238 629 4 sundararajan sundararajan NOUN fis-4238 629 5 , , PUNCT fis-4238 629 6 c.r c.r PROPN fis-4238 629 7 . . PROPN fis-4238 629 8 ( ( PUNCT fis-4238 629 9 1994 1994 NUM fis-4238 629 10 ) ) PUNCT fis-4238 629 11 . . PUNCT fis-4238 630 1 probabilistic probabilistic ADJ fis-4238 630 2 structural structural ADJ fis-4238 630 3 mechanics mechanic NOUN fis-4238 630 4 handbook handbook NOUN fis-4238 630 5 , , PUNCT fis-4238 630 6 theory theory NOUN fis-4238 630 7 and and CCONJ fis-4238 630 8 industrial industrial ADJ fis-4238 630 9 applications application NOUN fis-4238 630 10 . . PUNCT fis-4238 631 1 new new PROPN fis-4238 631 2 york york PROPN fis-4238 631 3 , , PUNCT fis-4238 631 4 springer springer NOUN fis-4238 631 5 science science NOUN fis-4238 631 6 . . PUNCT fis-4238 632 1 [ [ X fis-4238 632 2 31 31 NUM fis-4238 632 3 ] ] PUNCT fis-4238 632 4 oberkampf oberkampf NOUN fis-4238 632 5 , , PUNCT fis-4238 632 6 r. r. PROPN fis-4238 632 7 and and CCONJ fis-4238 632 8 roy roy PROPN fis-4238 632 9 , , PUNCT fis-4238 632 10 c.j c.j PROPN fis-4238 632 11 . . PROPN fis-4238 632 12 ( ( PUNCT fis-4238 632 13 2010 2010 NUM fis-4238 632 14 ) ) PUNCT fis-4238 632 15 . . PUNCT fis-4238 633 1 verification verification NOUN fis-4238 633 2 and and CCONJ fis-4238 633 3 validation validation NOUN fis-4238 633 4 in in ADP fis-4238 633 5 scientific scientific ADJ fis-4238 633 6 computing computing NOUN fis-4238 633 7 . . PUNCT fis-4238 634 1 cambridge cambridge PROPN fis-4238 634 2 , , PUNCT fis-4238 634 3 cambridge cambridge PROPN fis-4238 634 4 university university PROPN fis-4238 634 5 press press NOUN fis-4238 634 6 . . PUNCT fis-4238 635 1 doi doi NOUN fis-4238 635 2 : : PUNCT fis-4238 635 3 10.1017 10.1017 NUM fis-4238 635 4 / / SYM fis-4238 635 5 cbo9780511760396 cbo9780511760396 NOUN fis-4238 635 6 . . PUNCT fis-4238 636 1 [ [ X fis-4238 636 2 32 32 NUM fis-4238 636 3 ] ] PUNCT fis-4238 636 4 saltelli saltelli PROPN fis-4238 636 5 , , PUNCT fis-4238 636 6 a. a. PROPN fis-4238 636 7 , , PUNCT fis-4238 636 8 tarantola tarantola PROPN fis-4238 636 9 , , PUNCT fis-4238 636 10 s. s. PROPN fis-4238 636 11 , , PUNCT fis-4238 636 12 campolongo campolongo PROPN fis-4238 636 13 , , PUNCT fis-4238 636 14 f. f. PROPN fis-4238 636 15 and and CCONJ fis-4238 636 16 ratto ratto PROPN fis-4238 636 17 , , PUNCT fis-4238 636 18 m. m. NOUN fis-4238 636 19 ( ( PUNCT fis-4238 636 20 2004 2004 NUM fis-4238 636 21 ) ) PUNCT fis-4238 636 22 . . PUNCT fis-4238 637 1 sensitivity sensitivity NOUN fis-4238 637 2 analysis analysis NOUN fis-4238 637 3 in in ADP fis-4238 637 4 practice practice NOUN fis-4238 637 5 : : PUNCT fis-4238 637 6 a a DET fis-4238 637 7 guide guide NOUN fis-4238 637 8 to to ADP fis-4238 637 9 assessing assess VERB fis-4238 637 10 scientific scientific ADJ fis-4238 637 11 models model NOUN fis-4238 637 12 . . PUNCT fis-4238 638 1 chichester chichester PROPN fis-4238 638 2 , , PUNCT fis-4238 638 3 john john PROPN fis-4238 638 4 wiley wiley PROPN fis-4238 638 5 and and CCONJ fis-4238 638 6 sons son NOUN fis-4238 638 7 . . PUNCT fis-4238 639 1 [ [ X fis-4238 639 2 33 33 NUM fis-4238 639 3 ] ] X fis-4238 639 4 saltelli saltelli PROPN fis-4238 639 5 , , PUNCT fis-4238 639 6 a. a. NOUN fis-4238 639 7 , , PUNCT fis-4238 639 8 ratto ratto NOUN fis-4238 639 9 , , PUNCT fis-4238 639 10 m. m. NOUN fis-4238 639 11 , , PUNCT fis-4238 639 12 andres andre NOUN fis-4238 639 13 , , PUNCT fis-4238 639 14 t. t. PROPN fis-4238 639 15 , , PUNCT fis-4238 639 16 campolongo campolongo NOUN fis-4238 639 17 , , PUNCT fis-4238 639 18 f. f. PROPN fis-4238 639 19 , , PUNCT fis-4238 639 20 cariboni cariboni PROPN fis-4238 639 21 , , PUNCT fis-4238 639 22 j. j. PROPN fis-4238 639 23 , , PUNCT fis-4238 639 24 gatelli gatelli PROPN fis-4238 639 25 , , PUNCT fis-4238 639 26 d. d. PROPN fis-4238 639 27 , , PUNCT fis-4238 639 28 saisana saisana NOUN fis-4238 639 29 , , PUNCT fis-4238 639 30 m. m. NOUN fis-4238 639 31 and and CCONJ fis-4238 639 32 tarantola tarantola PROPN fis-4238 639 33 , , PUNCT fis-4238 639 34 s. s. PROPN fis-4238 639 35 ( ( PUNCT fis-4238 639 36 2008 2008 NUM fis-4238 639 37 ) ) PUNCT fis-4238 639 38 . . PUNCT fis-4238 640 1 global global ADJ fis-4238 640 2 sensitivity sensitivity NOUN fis-4238 640 3 analysis analysis NOUN fis-4238 640 4 : : PUNCT fis-4238 640 5 the the DET fis-4238 640 6 primer primer NOUN fis-4238 640 7 . . PUNCT fis-4238 641 1 chichester chichester PROPN fis-4238 641 2 , , PUNCT fis-4238 641 3 john john PROPN fis-4238 641 4 wiley wiley PROPN fis-4238 641 5 and and CCONJ fis-4238 641 6 sons son NOUN fis-4238 641 7 . . PUNCT fis-4238 642 1 [ [ X fis-4238 642 2 34 34 NUM fis-4238 642 3 ] ] X fis-4238 642 4 lu lu PROPN fis-4238 642 5 , , PUNCT fis-4238 642 6 h. h. PROPN fis-4238 642 7 , , PUNCT fis-4238 642 8 zhang zhang PROPN fis-4238 642 9 , , PUNCT fis-4238 642 10 m.y m.y PROPN fis-4238 642 11 . . PROPN fis-4238 642 12 , , PUNCT fis-4238 642 13 zhang zhang PROPN fis-4238 642 14 , , PUNCT fis-4238 642 15 x. x. PROPN fis-4238 642 16 and and CCONJ fis-4238 642 17 huang huang PROPN fis-4238 642 18 , , PUNCT fis-4238 642 19 x. x. NOUN fis-4238 642 20 ( ( PUNCT fis-4238 642 21 2011 2011 NUM fis-4238 642 22 ) ) PUNCT fis-4238 642 23 . . PUNCT fis-4238 643 1 fatigue fatigue NOUN fis-4238 643 2 reliability reliability NOUN fis-4238 643 3 sensitivity sensitivity NOUN fis-4238 643 4 analysis analysis NOUN fis-4238 643 5 of of ADP fis-4238 643 6 complex complex ADJ fis-4238 643 7 mechanical mechanical ADJ fis-4238 643 8 components component NOUN fis-4238 643 9 under under ADP fis-4238 643 10 random random ADJ fis-4238 643 11 excitation excitation NOUN fis-4238 643 12 . . PUNCT fis-4238 644 1 mathematical mathematical ADJ fis-4238 644 2 problems problem NOUN fis-4238 644 3 in in ADP fis-4238 644 4 engineering engineering NOUN fis-4238 644 5 , , PUNCT fis-4238 644 6 2011 2011 NUM fis-4238 644 7 , , PUNCT fis-4238 644 8 pp pp ADJ fis-4238 644 9 . . PUNCT fis-4238 645 1 1 1 NUM fis-4238 645 2 - - SYM fis-4238 645 3 17 17 NUM fis-4238 645 4 . . PUNCT fis-4238 646 1 doi doi NOUN fis-4238 646 2 : : PUNCT fis-4238 646 3 10.1155/2011/586316 10.1155/2011/586316 NUM fis-4238 646 4 [ [ SYM fis-4238 646 5 35 35 NUM fis-4238 646 6 ] ] X fis-4238 646 7 qamar qamar PROPN fis-4238 646 8 , , PUNCT fis-4238 646 9 s. s. PROPN fis-4238 646 10 ( ( PUNCT fis-4238 646 11 2014 2014 NUM fis-4238 646 12 ) ) PUNCT fis-4238 646 13 . . PUNCT fis-4238 647 1 fracture fracture NOUN fis-4238 647 2 life life NOUN fis-4238 647 3 prediction prediction NOUN fis-4238 647 4 and and CCONJ fis-4238 647 5 sensitivity sensitivity NOUN fis-4238 647 6 analysis analysis NOUN fis-4238 647 7 for for ADP fis-4238 647 8 hollow hollow ADJ fis-4238 647 9 extrusion extrusion NOUN fis-4238 647 10 dies die NOUN fis-4238 647 11 . . PUNCT fis-4238 648 1 fatigue fatigue NOUN fis-4238 648 2 and and CCONJ fis-4238 648 3 fracture fracture NOUN fis-4238 648 4 of of ADP fis-4238 648 5 engineering engineering NOUN fis-4238 648 6 materials material NOUN fis-4238 648 7 and and CCONJ fis-4238 648 8 structures structure NOUN fis-4238 648 9 , , PUNCT fis-4238 648 10 38 38 NUM fis-4238 648 11 , , PUNCT fis-4238 648 12 pp pp ADJ fis-4238 648 13 . . PUNCT fis-4238 648 14 434 434 NUM fis-4238 648 15 - - SYM fis-4238 648 16 444 444 NUM fis-4238 648 17 . . PUNCT fis-4238 649 1 doi doi NOUN fis-4238 649 2 : : PUNCT fis-4238 649 3 10.1111 10.1111 NUM fis-4238 649 4 / / SYM fis-4238 649 5 ffe.12244 ffe.12244 NOUN fis-4238 649 6 . . PUNCT fis-4238 650 1 [ [ X fis-4238 650 2 36 36 NUM fis-4238 650 3 ] ] X fis-4238 650 4 leander leander PROPN fis-4238 650 5 , , PUNCT fis-4238 650 6 j. j. PROPN fis-4238 650 7 and and CCONJ fis-4238 650 8 al al PROPN fis-4238 650 9 - - PUNCT fis-4238 650 10 emrani emrani PROPN fis-4238 650 11 , , PUNCT fis-4238 650 12 m. m. NOUN fis-4238 650 13 ( ( PUNCT fis-4238 650 14 2016 2016 NUM fis-4238 650 15 ) ) PUNCT fis-4238 650 16 . . PUNCT fis-4238 651 1 reliability reliability NOUN fis-4238 651 2 - - PUNCT fis-4238 651 3 based base VERB fis-4238 651 4 fatigue fatigue NOUN fis-4238 651 5 assessment assessment NOUN fis-4238 651 6 of of ADP fis-4238 651 7 steel steel NOUN fis-4238 651 8 bridges bridge NOUN fis-4238 651 9 using use VERB fis-4238 651 10 lefm lefm PROPN fis-4238 651 11 – – PUNCT fis-4238 651 12 a a DET fis-4238 651 13 sensitivity sensitivity NOUN fis-4238 651 14 analysis analysis NOUN fis-4238 651 15 . . PUNCT fis-4238 652 1 international international ADJ fis-4238 652 2 journal journal NOUN fis-4238 652 3 of of ADP fis-4238 652 4 fatigue fatigue NOUN fis-4238 652 5 , , PUNCT fis-4238 652 6 93 93 NUM fis-4238 652 7 , , PUNCT fis-4238 652 8 pp pp ADJ fis-4238 652 9 . . PUNCT fis-4238 653 1 82 82 NUM fis-4238 653 2 - - SYM fis-4238 653 3 91 91 NUM fis-4238 653 4 . . PUNCT fis-4238 654 1 doi doi NOUN fis-4238 654 2 : : PUNCT fis-4238 654 3 10.1016 10.1016 NUM fis-4238 654 4 / / SYM fis-4238 654 5 j.ijfatigue.2016.08.011 j.ijfatigue.2016.08.011 PROPN fis-4238 654 6 . . PUNCT fis-4238 655 1 [ [ X fis-4238 655 2 37 37 NUM fis-4238 655 3 ] ] SYM fis-4238 655 4 amaro amaro NOUN fis-4238 655 5 , , PUNCT fis-4238 655 6 r. r. PROPN fis-4238 655 7 , , PUNCT fis-4238 655 8 rustagi rustagi PROPN fis-4238 655 9 , , PUNCT fis-4238 655 10 n. n. NOUN fis-4238 655 11 , , PUNCT fis-4238 655 12 drexler drexler PROPN fis-4238 655 13 , , PUNCT fis-4238 655 14 e. e. PROPN fis-4238 655 15 and and CCONJ fis-4238 655 16 slifka slifka VERB fis-4238 655 17 , , PUNCT fis-4238 655 18 a. a. NOUN fis-4238 655 19 ( ( PUNCT fis-4238 655 20 2015 2015 NUM fis-4238 655 21 ) ) PUNCT fis-4238 655 22 . . PUNCT fis-4238 656 1 sensitivity sensitivity NOUN fis-4238 656 2 analysis analysis NOUN fis-4238 656 3 of of ADP fis-4238 656 4 fatigue fatigue NOUN fis-4238 656 5 crack crack NOUN fis-4238 656 6 growth growth NOUN fis-4238 656 7 model model NOUN fis-4238 656 8 for for ADP fis-4238 656 9 api api NOUN fis-4238 656 10 steels steel NOUN fis-4238 656 11 in in ADP fis-4238 656 12 gaseous gaseous ADJ fis-4238 656 13 hydrogen hydrogen NOUN fis-4238 656 14 . . PUNCT fis-4238 657 1 journal journal PROPN fis-4238 657 2 of of ADP fis-4238 657 3 research research NOUN fis-4238 657 4 of of ADP fis-4238 657 5 the the DET fis-4238 657 6 national national PROPN fis-4238 657 7 institute institute PROPN fis-4238 657 8 of of ADP fis-4238 657 9 standards standard NOUN fis-4238 657 10 and and CCONJ fis-4238 657 11 technology technology NOUN fis-4238 657 12 , , PUNCT fis-4238 657 13 119 119 NUM fis-4238 657 14 , , PUNCT fis-4238 657 15 pp pp ADJ fis-4238 657 16 . . PUNCT fis-4238 658 1 6 6 NUM fis-4238 658 2 - - SYM fis-4238 658 3 14 14 NUM fis-4238 658 4 . . PUNCT fis-4238 659 1 doi doi NOUN fis-4238 659 2 : : PUNCT fis-4238 659 3 10.6028 10.6028 NUM fis-4238 659 4 / / SYM fis-4238 659 5 jres.119.002 jres.119.002 PROPN fis-4238 659 6 . . PUNCT fis-4238 660 1 [ [ X fis-4238 660 2 38 38 NUM fis-4238 660 3 ] ] PUNCT fis-4238 660 4 sparkman sparkman NOUN fis-4238 660 5 , , PUNCT fis-4238 660 6 d. d. PROPN fis-4238 660 7 , , PUNCT fis-4238 660 8 millwater millwater PROPN fis-4238 660 9 , , PUNCT fis-4238 660 10 h. h. PROPN fis-4238 660 11 and and CCONJ fis-4238 660 12 ghosh ghosh PROPN fis-4238 660 13 , , PUNCT fis-4238 660 14 s. s. PROPN fis-4238 660 15 ( ( PUNCT fis-4238 660 16 2013 2013 NUM fis-4238 660 17 ) ) PUNCT fis-4238 660 18 . . PUNCT fis-4238 661 1 probabilistic probabilistic ADJ fis-4238 661 2 sensitivity sensitivity NOUN fis-4238 661 3 analysis analysis NOUN fis-4238 661 4 of of ADP fis-4238 661 5 dwell dwell NOUN fis-4238 661 6 - - PUNCT fis-4238 661 7 fatigue fatigue NOUN fis-4238 661 8 crack crack NOUN fis-4238 661 9 initiation initiation NOUN fis-4238 661 10 life life NOUN fis-4238 661 11 for for ADP fis-4238 661 12 a a DET fis-4238 661 13 two two NUM fis-4238 661 14 - - PUNCT fis-4238 661 15 grain grain NOUN fis-4238 661 16 microstructural microstructural ADJ fis-4238 661 17 model model NOUN fis-4238 661 18 . . PUNCT fis-4238 662 1 fatigue fatigue NOUN fis-4238 662 2 and and CCONJ fis-4238 662 3 fracture fracture NOUN fis-4238 662 4 of of ADP fis-4238 662 5 engineering engineering NOUN fis-4238 662 6 materials material NOUN fis-4238 662 7 and and CCONJ fis-4238 662 8 structures structure NOUN fis-4238 662 9 , , PUNCT fis-4238 662 10 36 36 NUM fis-4238 662 11 , , PUNCT fis-4238 662 12 pp pp ADJ fis-4238 662 13 . . PUNCT fis-4238 662 14 9941008 9941008 NUM fis-4238 662 15 . . PUNCT fis-4238 663 1 doi doi NOUN fis-4238 663 2 : : PUNCT fis-4238 663 3 10.1111 10.1111 NUM fis-4238 663 4 / / SYM fis-4238 663 5 ffe.12052 ffe.12052 X fis-4238 663 6 . . PUNCT fis-4238 664 1 [ [ X fis-4238 664 2 39 39 NUM fis-4238 664 3 ] ] X fis-4238 664 4 wang wang PROPN fis-4238 664 5 , , PUNCT fis-4238 664 6 z. z. PROPN fis-4238 664 7 , , PUNCT fis-4238 664 8 huang huang PROPN fis-4238 664 9 , , PUNCT fis-4238 664 10 x. x. PROPN fis-4238 664 11 and and CCONJ fis-4238 664 12 zhang zhang PROPN fis-4238 664 13 , , PUNCT fis-4238 664 14 d.h d.h PROPN fis-4238 664 15 . . PROPN fis-4238 664 16 ( ( PUNCT fis-4238 664 17 2020 2020 NUM fis-4238 664 18 ) ) PUNCT fis-4238 664 19 . . PUNCT fis-4238 665 1 low low ADJ fis-4238 665 2 cycle cycle NOUN fis-4238 665 3 fatigue fatigue NOUN fis-4238 665 4 damage damage NOUN fis-4238 665 5 model model NOUN fis-4238 665 6 and and CCONJ fis-4238 665 7 sensitivity sensitivity NOUN fis-4238 665 8 analysis analysis NOUN fis-4238 665 9 of of ADP fis-4238 665 10 fatigue fatigue NOUN fis-4238 665 11 crack crack VERB fis-4238 665 12 initiation initiation NOUN fis-4238 665 13 by by ADP fis-4238 665 14 finite finite PROPN fis-4238 665 15 element element NOUN fis-4238 665 16 approach approach NOUN fis-4238 665 17 . . PUNCT fis-4238 666 1 frattura frattura PROPN fis-4238 666 2 ed ed PROPN fis-4238 666 3 integrità integrità PROPN fis-4238 666 4 strutturale strutturale PROPN fis-4238 666 5 , , PUNCT fis-4238 666 6 14 14 NUM fis-4238 666 7 , , PUNCT fis-4238 666 8 pp pp ADJ fis-4238 666 9 . . PUNCT fis-4238 667 1 81 81 NUM fis-4238 667 2 - - SYM fis-4238 667 3 91 91 NUM fis-4238 667 4 . . PUNCT fis-4238 668 1 doi doi NOUN fis-4238 668 2 : : PUNCT fis-4238 668 3 0.3221 0.3221 NUM fis-4238 668 4 / / SYM fis-4238 668 5 igf igf NOUN fis-4238 668 6 - - NOUN fis-4238 668 7 esis.53.07 esis.53.07 NOUN fis-4238 668 8 . . PUNCT fis-4238 669 1 [ [ X fis-4238 669 2 40 40 NUM fis-4238 669 3 ] ] X fis-4238 669 4 zhu zhu PROPN fis-4238 669 5 , , PUNCT fis-4238 669 6 s.p s.p PROPN fis-4238 669 7 . . PROPN fis-4238 669 8 , , PUNCT fis-4238 669 9 liu liu PROPN fis-4238 669 10 , , PUNCT fis-4238 669 11 q. q. PROPN fis-4238 669 12 , , PUNCT fis-4238 669 13 yu yu PROPN fis-4238 669 14 , , PUNCT fis-4238 669 15 z.y z.y PROPN fis-4238 669 16 . . PROPN fis-4238 669 17 and and CCONJ fis-4238 669 18 liu liu PROPN fis-4238 669 19 , , PUNCT fis-4238 669 20 y. y. PROPN fis-4238 669 21 ( ( PUNCT fis-4238 669 22 2017 2017 NUM fis-4238 669 23 ) ) PUNCT fis-4238 669 24 . . PUNCT fis-4238 670 1 fatigue fatigue NOUN fis-4238 670 2 reliability reliability NOUN fis-4238 670 3 analysis analysis NOUN fis-4238 670 4 of of ADP fis-4238 670 5 a a DET fis-4238 670 6 turbine turbine NOUN fis-4238 670 7 disc disc NOUN fis-4238 670 8 under under ADP fis-4238 670 9 multi multi ADJ fis-4238 670 10 - - NOUN fis-4238 670 11 source source NOUN fis-4238 670 12 uncertainties uncertainty NOUN fis-4238 670 13 . . PUNCT fis-4238 671 1 2nd 2nd ADJ fis-4238 671 2 international international ADJ fis-4238 671 3 conference conference NOUN fis-4238 671 4 on on ADP fis-4238 671 5 structural structural ADJ fis-4238 671 6 integrity integrity NOUN fis-4238 671 7 , , PUNCT fis-4238 671 8 funchal funchal NOUN fis-4238 671 9 , , PUNCT fis-4238 671 10 portugal portugal PROPN fis-4238 671 11 . . PUNCT fis-4238 672 1 doi doi PROPN fis-4238 672 2 : : PUNCT fis-4238 672 3 10.1016 10.1016 NUM fis-4238 672 4 / / SYM fis-4238 672 5 j.prostr.2017.07.137 j.prostr.2017.07.137 NOUN fis-4238 672 6 . . PUNCT fis-4238 673 1 [ [ X fis-4238 673 2 41 41 NUM fis-4238 673 3 ] ] X fis-4238 673 4 morris morris PROPN fis-4238 673 5 , , PUNCT fis-4238 673 6 m. m. NOUN fis-4238 673 7 ( ( PUNCT fis-4238 673 8 1991 1991 NUM fis-4238 673 9 ) ) PUNCT fis-4238 673 10 . . PUNCT fis-4238 674 1 factorial factorial ADJ fis-4238 674 2 sampling sample VERB fis-4238 674 3 plans plan NOUN fis-4238 674 4 for for ADP fis-4238 674 5 preliminary preliminary ADJ fis-4238 674 6 computational computational ADJ fis-4238 674 7 experiments experiment NOUN fis-4238 674 8 . . PUNCT fis-4238 675 1 quality quality NOUN fis-4238 675 2 engineering engineering NOUN fis-4238 675 3 , , PUNCT fis-4238 675 4 37 37 NUM fis-4238 675 5 , , PUNCT fis-4238 675 6 pp pp ADJ fis-4238 675 7 . . PUNCT fis-4238 676 1 307 307 NUM fis-4238 676 2 - - SYM fis-4238 676 3 310 310 NUM fis-4238 676 4 . . PUNCT fis-4238 677 1 r. r. PROPN fis-4238 677 2 b. b. PROPN fis-4238 677 3 p. p. PROPN fis-4238 677 4 nonato nonato PROPN fis-4238 677 5 , , PUNCT fis-4238 677 6 frattura frattura PROPN fis-4238 677 7 ed ed PROPN fis-4238 677 8 integrità integrità PROPN fis-4238 677 9 strutturale strutturale PROPN fis-4238 677 10 , , PUNCT fis-4238 677 11 65 65 NUM fis-4238 677 12 ( ( PUNCT fis-4238 677 13 2023 2023 NUM fis-4238 677 14 ) ) PUNCT fis-4238 677 15 17 17 NUM fis-4238 677 16 - - SYM fis-4238 677 17 37 37 NUM fis-4238 677 18 ; ; PUNCT fis-4238 677 19 doi doi NOUN fis-4238 677 20 : : PUNCT fis-4238 677 21 10.3221 10.3221 NUM fis-4238 677 22 / / SYM fis-4238 677 23 igf igf PROPN fis-4238 677 24 - - NOUN fis-4238 677 25 esis.66.02 esis.66.02 NOUN fis-4238 677 26 37 37 NUM fis-4238 677 27 [ [ X fis-4238 677 28 42 42 NUM fis-4238 677 29 ] ] PUNCT fis-4238 677 30 shamilov shamilov NOUN fis-4238 677 31 , , PUNCT fis-4238 677 32 a. a. PROPN fis-4238 677 33 , , PUNCT fis-4238 677 34 kantar kantar PROPN fis-4238 677 35 , , PUNCT fis-4238 677 36 y.m y.m PROPN fis-4238 677 37 . . PROPN fis-4238 677 38 and and CCONJ fis-4238 677 39 ilhan ilhan PROPN fis-4238 677 40 , , PUNCT fis-4238 677 41 u. u. PROPN fis-4238 677 42 ( ( PUNCT fis-4238 677 43 2008 2008 NUM fis-4238 677 44 ) ) PUNCT fis-4238 677 45 . . PUNCT fis-4238 678 1 use use NOUN fis-4238 678 2 of of ADP fis-4238 678 3 minmaxent minmaxent NOUN fis-4238 678 4 distributions distribution NOUN fis-4238 678 5 defined define VERB fis-4238 678 6 on on ADP fis-4238 678 7 basis basis NOUN fis-4238 678 8 of of ADP fis-4238 678 9 maxent maxent NOUN fis-4238 678 10 method method NOUN fis-4238 678 11 in in ADP fis-4238 678 12 wind wind NOUN fis-4238 678 13 power power NOUN fis-4238 678 14 study study NOUN fis-4238 678 15 . . PUNCT fis-4238 679 1 energy energy NOUN fis-4238 679 2 conversion conversion NOUN fis-4238 679 3 and and CCONJ fis-4238 679 4 management management NOUN fis-4238 679 5 , , PUNCT fis-4238 679 6 49 49 NUM fis-4238 679 7 , , PUNCT fis-4238 679 8 pp pp ADJ fis-4238 679 9 . . PUNCT fis-4238 680 1 660 660 NUM fis-4238 680 2 - - SYM fis-4238 680 3 677 677 NUM fis-4238 680 4 . . PUNCT fis-4238 681 1 doi doi NOUN fis-4238 681 2 : : PUNCT fis-4238 681 3 10.1016 10.1016 NUM fis-4238 681 4 / / SYM fis-4238 681 5 j.enconman.2007.07.045 j.enconman.2007.07.045 NOUN fis-4238 681 6 . . PUNCT fis-4238 682 1 [ [ X fis-4238 682 2 43 43 NUM fis-4238 682 3 ] ] X fis-4238 682 4 zu zu NOUN fis-4238 682 5 , , PUNCT fis-4238 682 6 t. t. PROPN fis-4238 682 7 , , PUNCT fis-4238 682 8 kang kang PROPN fis-4238 682 9 , , PUNCT fis-4238 682 10 r. r. PROPN fis-4238 682 11 , , PUNCT fis-4238 682 12 wen wen PROPN fis-4238 682 13 , , PUNCT fis-4238 682 14 m. m. NOUN fis-4238 682 15 and and CCONJ fis-4238 682 16 zhang zhang PROPN fis-4238 682 17 , , PUNCT fis-4238 682 18 q. q. PROPN fis-4238 682 19 ( ( PUNCT fis-4238 682 20 2018 2018 NUM fis-4238 682 21 ) ) PUNCT fis-4238 682 22 . . PUNCT fis-4238 683 1 belief belief NOUN fis-4238 683 2 reliability reliability NOUN fis-4238 683 3 distribution distribution NOUN fis-4238 683 4 based base VERB fis-4238 683 5 on on ADP fis-4238 683 6 maximum maximum PROPN fis-4238 683 7 entropy entropy PROPN fis-4238 683 8 principle principle PROPN fis-4238 683 9 . . PUNCT fis-4238 684 1 ieee ieee NOUN fis-4238 684 2 access access NOUN fis-4238 684 3 , , PUNCT fis-4238 684 4 6 6 NUM fis-4238 684 5 , , PUNCT fis-4238 684 6 pp pp ADJ fis-4238 684 7 . . PUNCT fis-4238 685 1 1577 1577 NUM fis-4238 685 2 - - SYM fis-4238 685 3 1582 1582 NUM fis-4238 685 4 . . PUNCT fis-4238 686 1 doi doi NOUN fis-4238 686 2 : : PUNCT fis-4238 686 3 10.1109 10.1109 NUM fis-4238 686 4 / / SYM fis-4238 686 5 access.2017.2779475 access.2017.2779475 PROPN fis-4238 686 6 . . PUNCT fis-4238 687 1 [ [ X fis-4238 687 2 44 44 NUM fis-4238 687 3 ] ] X fis-4238 687 4 kang kang PROPN fis-4238 687 5 , , PUNCT fis-4238 687 6 h.y h.y PROPN fis-4238 687 7 . . PROPN fis-4238 687 8 and and CCONJ fis-4238 687 9 kwak kwak PROPN fis-4238 687 10 , , PUNCT fis-4238 687 11 b.m b.m PROPN fis-4238 687 12 . . PROPN fis-4238 687 13 ( ( PUNCT fis-4238 687 14 2008 2008 NUM fis-4238 687 15 ) ) PUNCT fis-4238 687 16 . . PUNCT fis-4238 688 1 application application NOUN fis-4238 688 2 of of ADP fis-4238 688 3 maximum maximum ADJ fis-4238 688 4 entropy entropy NOUN fis-4238 688 5 principle principle NOUN fis-4238 688 6 for for ADP fis-4238 688 7 reliability reliability NOUN fis-4238 688 8 - - PUNCT fis-4238 688 9 based base VERB fis-4238 688 10 design design NOUN fis-4238 688 11 optimization optimization NOUN fis-4238 688 12 . . PUNCT fis-4238 689 1 struct struct NOUN fis-4238 689 2 , , PUNCT fis-4238 689 3 multidisc multidisc PROPN fis-4238 689 4 . . PUNCT fis-4238 690 1 optim optim PROPN fis-4238 690 2 . . PROPN fis-4238 690 3 , , PUNCT fis-4238 690 4 38 38 NUM fis-4238 690 5 , , PUNCT fis-4238 690 6 pp pp ADJ fis-4238 690 7 . . PUNCT fis-4238 691 1 331 331 NUM fis-4238 691 2 - - SYM fis-4238 691 3 346 346 NUM fis-4238 691 4 . . PUNCT fis-4238 692 1 doi doi NOUN fis-4238 692 2 : : PUNCT fis-4238 692 3 10.1007 10.1007 NUM fis-4238 692 4 / / SYM fis-4238 692 5 s00158 s00158 NOUN fis-4238 692 6 - - PUNCT fis-4238 692 7 008 008 NUM fis-4238 692 8 - - PUNCT fis-4238 692 9 0299 0299 NUM fis-4238 692 10 - - SYM fis-4238 692 11 3 3 NUM fis-4238 692 12 . . PUNCT fis-4238 693 1 [ [ X fis-4238 693 2 45 45 NUM fis-4238 693 3 ] ] X fis-4238 693 4 zhang zhang PROPN fis-4238 693 5 , , PUNCT fis-4238 693 6 y. y. PROPN fis-4238 693 7 ( ( PUNCT fis-4238 693 8 2018 2018 NUM fis-4238 693 9 ) ) PUNCT fis-4238 693 10 . . PUNCT fis-4238 694 1 principle principle NOUN fis-4238 694 2 of of ADP fis-4238 694 3 maximum maximum ADJ fis-4238 694 4 entropy entropy NOUN fis-4238 694 5 for for ADP fis-4238 694 6 reliability reliability NOUN fis-4238 694 7 analysis analysis NOUN fis-4238 694 8 in in ADP fis-4238 694 9 the the DET fis-4238 694 10 design design NOUN fis-4238 694 11 of of ADP fis-4238 694 12 machine machine NOUN fis-4238 694 13 components component NOUN fis-4238 694 14 . . PUNCT fis-4238 695 1 frontiers frontier NOUN fis-4238 695 2 of of ADP fis-4238 695 3 mechanical mechanical ADJ fis-4238 695 4 engineering engineering NOUN fis-4238 695 5 , , PUNCT fis-4238 695 6 14 14 NUM fis-4238 695 7 , , PUNCT fis-4238 695 8 pp pp ADJ fis-4238 695 9 . . PUNCT fis-4238 696 1 1 1 NUM fis-4238 696 2 - - SYM fis-4238 696 3 12 12 NUM fis-4238 696 4 . . PUNCT fis-4238 697 1 doi doi NOUN fis-4238 697 2 : : PUNCT fis-4238 697 3 0.1007 0.1007 NUM fis-4238 697 4 / / SYM fis-4238 697 5 s11465 s11465 NUM fis-4238 697 6 - - PUNCT fis-4238 697 7 018 018 NUM fis-4238 697 8 - - PUNCT fis-4238 697 9 0512 0512 NUM fis-4238 697 10 - - PUNCT fis-4238 697 11 z. z. PROPN fis-4238 698 1 [ [ X fis-4238 698 2 46 46 NUM fis-4238 698 3 ] ] X fis-4238 698 4 guo guo PROPN fis-4238 698 5 , , PUNCT fis-4238 698 6 j. j. PROPN fis-4238 698 7 , , PUNCT fis-4238 698 8 zhao zhao PROPN fis-4238 698 9 , , PUNCT fis-4238 698 10 j. j. PROPN fis-4238 698 11 and and CCONJ fis-4238 698 12 zeng zeng PROPN fis-4238 698 13 , , PUNCT fis-4238 698 14 s. s. PROPN fis-4238 698 15 ( ( PUNCT fis-4238 698 16 2018 2018 NUM fis-4238 698 17 ) ) PUNCT fis-4238 698 18 . . PUNCT fis-4238 699 1 structural structural ADJ fis-4238 699 2 reliability reliability NOUN fis-4238 699 3 analysis analysis NOUN fis-4238 699 4 based base VERB fis-4238 699 5 on on ADP fis-4238 699 6 analytical analytical ADJ fis-4238 699 7 maximum maximum PROPN fis-4238 699 8 entropy entropy NOUN fis-4238 699 9 method method NOUN fis-4238 699 10 using use VERB fis-4238 699 11 polynomial polynomial ADJ fis-4238 699 12 chaos chaos NOUN fis-4238 699 13 expansion expansion NOUN fis-4238 699 14 . . PUNCT fis-4238 700 1 struct struct NOUN fis-4238 700 2 . . PUNCT fis-4238 701 1 multidisc multidisc PROPN fis-4238 701 2 . . PUNCT fis-4238 702 1 optim optim PROPN fis-4238 702 2 . . PROPN fis-4238 702 3 , , PUNCT fis-4238 702 4 38 38 NUM fis-4238 702 5 , , PUNCT fis-4238 702 6 pp pp ADJ fis-4238 702 7 . . PUNCT fis-4238 703 1 1187 1187 NUM fis-4238 703 2 - - SYM fis-4238 703 3 1203 1203 NUM fis-4238 703 4 . . PUNCT fis-4238 704 1 doi doi NOUN fis-4238 704 2 : : PUNCT fis-4238 704 3 10.1007 10.1007 NUM fis-4238 704 4 / / SYM fis-4238 704 5 s00158 s00158 NOUN fis-4238 704 6 - - PUNCT fis-4238 704 7 018 018 NUM fis-4238 704 8 - - PUNCT fis-4238 704 9 1961 1961 NUM fis-4238 704 10 - - PUNCT fis-4238 704 11 z. z. NOUN fis-4238 705 1 [ [ X fis-4238 705 2 47 47 NUM fis-4238 705 3 ] ] X fis-4238 705 4 jiwei jiwei PROPN fis-4238 705 5 , , PUNCT fis-4238 705 6 q. q. PROPN fis-4238 705 7 , , PUNCT fis-4238 705 8 jianguo jianguo PROPN fis-4238 705 9 , , PUNCT fis-4238 705 10 z. z. PROPN fis-4238 705 11 and and CCONJ fis-4238 705 12 yupeng yupeng PROPN fis-4238 705 13 , , PUNCT fis-4238 705 14 m. m. NOUN fis-4238 705 15 ( ( PUNCT fis-4238 705 16 2018 2018 NUM fis-4238 705 17 ) ) PUNCT fis-4238 705 18 . . PUNCT fis-4238 706 1 reliability reliability NOUN fis-4238 706 2 analysis analysis NOUN fis-4238 706 3 based base VERB fis-4238 706 4 on on ADP fis-4238 706 5 the the DET fis-4238 706 6 principle principle NOUN fis-4238 706 7 of of ADP fis-4238 706 8 maximum maximum PROPN fis-4238 706 9 entropy entropy NOUN fis-4238 706 10 and and CCONJ fis-4238 706 11 dempster dempster PROPN fis-4238 706 12 – – PUNCT fis-4238 706 13 shafer shafer NOUN fis-4238 706 14 evidence evidence NOUN fis-4238 706 15 theory theory NOUN fis-4238 706 16 . . PUNCT fis-4238 707 1 journal journal NOUN fis-4238 707 2 of of ADP fis-4238 707 3 mechanical mechanical ADJ fis-4238 707 4 science science NOUN fis-4238 707 5 and and CCONJ fis-4238 707 6 technology technology NOUN fis-4238 707 7 , , PUNCT fis-4238 707 8 32 32 NUM fis-4238 707 9 , , PUNCT fis-4238 707 10 pp pp ADJ fis-4238 707 11 . . PUNCT fis-4238 708 1 605 605 NUM fis-4238 708 2 - - SYM fis-4238 708 3 613 613 NUM fis-4238 708 4 . . PUNCT fis-4238 708 5 doi doi NOUN fis-4238 708 6 : : PUNCT fis-4238 708 7 10.1007 10.1007 NUM fis-4238 708 8 / / SYM fis-4238 708 9 s12206 s12206 NOUN fis-4238 708 10 - - PUNCT fis-4238 708 11 018 018 NUM fis-4238 708 12 - - PUNCT fis-4238 708 13 0107 0107 NUM fis-4238 708 14 - - PUNCT fis-4238 708 15 3 3 NUM fis-4238 708 16 . . PUNCT fis-4238 709 1 [ [ X fis-4238 709 2 48 48 NUM fis-4238 709 3 ] ] SYM fis-4238 709 4 jaynes jaynes PROPN fis-4238 709 5 , , PUNCT fis-4238 709 6 e. e. PROPN fis-4238 709 7 ( ( PUNCT fis-4238 709 8 1957 1957 NUM fis-4238 709 9 ) ) PUNCT fis-4238 709 10 . . PUNCT fis-4238 710 1 information information NOUN fis-4238 710 2 theory theory NOUN fis-4238 710 3 and and CCONJ fis-4238 710 4 statistical statistical ADJ fis-4238 710 5 mechanics mechanic NOUN fis-4238 710 6 . . PUNCT fis-4238 711 1 physical physical ADJ fis-4238 711 2 review review PROPN fis-4238 711 3 , , PUNCT fis-4238 711 4 106 106 NUM fis-4238 711 5 , , PUNCT fis-4238 711 6 pp pp ADJ fis-4238 711 7 . . PUNCT fis-4238 712 1 620 620 NUM fis-4238 712 2 - - SYM fis-4238 712 3 630 630 NUM fis-4238 712 4 . . PUNCT fis-4238 713 1 [ [ X fis-4238 713 2 49 49 NUM fis-4238 713 3 ] ] X fis-4238 713 4 demarte demarte NOUN fis-4238 713 5 , , PUNCT fis-4238 713 6 r.a r.a PROPN fis-4238 713 7 . . PROPN fis-4238 713 8 ( ( PUNCT fis-4238 713 9 2009 2009 NUM fis-4238 713 10 ) ) PUNCT fis-4238 713 11 . . PUNCT fis-4238 714 1 analysis analysis NOUN fis-4238 714 2 of of ADP fis-4238 714 3 fatigue fatigue NOUN fis-4238 714 4 crack crack VERB fis-4238 714 5 propagation propagation NOUN fis-4238 714 6 in in ADP fis-4238 714 7 welded weld VERB fis-4238 714 8 steels steel NOUN fis-4238 714 9 . . PUNCT fis-4238 715 1 master master NOUN fis-4238 715 2 ’s ’s PART fis-4238 715 3 thesis thesis NOUN fis-4238 715 4 . . PUNCT fis-4238 716 1 marquette marquette PROPN fis-4238 716 2 , , PUNCT fis-4238 716 3 milwaukee milwaukee PROPN fis-4238 716 4 . . PUNCT fis-4238 717 1 [ [ X fis-4238 717 2 50 50 NUM fis-4238 717 3 ] ] X fis-4238 717 4 lampman lampman PROPN fis-4238 717 5 , , PUNCT fis-4238 717 6 s. s. PROPN fis-4238 717 7 ( ( PUNCT fis-4238 717 8 1996 1996 NUM fis-4238 717 9 ) ) PUNCT fis-4238 717 10 . . PUNCT fis-4238 718 1 asm asm NOUN fis-4238 718 2 handbook handbook NOUN fis-4238 718 3 : : PUNCT fis-4238 718 4 fatigue fatigue NOUN fis-4238 718 5 and and CCONJ fis-4238 718 6 fracture fracture NOUN fis-4238 718 7 . . PUNCT fis-4238 719 1 detroit detroit PROPN fis-4238 719 2 , , PUNCT fis-4238 719 3 asm asm PROPN fis-4238 719 4 international international NOUN fis-4238 719 5 . . PUNCT fis-4238 720 1 [ [ X fis-4238 720 2 51 51 NUM fis-4238 720 3 ] ] X fis-4238 720 4 frank frank PROPN fis-4238 720 5 , , PUNCT fis-4238 720 6 k.h k.h PROPN fis-4238 720 7 . . PROPN fis-4238 720 8 , , PUNCT fis-4238 720 9 barsom barsom NOUN fis-4238 720 10 , , PUNCT fis-4238 720 11 j.m j.m PROPN fis-4238 720 12 . . PROPN fis-4238 720 13 and and CCONJ fis-4238 720 14 hamburger hamburger NOUN fis-4238 720 15 , , PUNCT fis-4238 720 16 r.o r.o PROPN fis-4238 720 17 . . PROPN fis-4238 720 18 ( ( PUNCT fis-4238 720 19 2000 2000 NUM fis-4238 720 20 ) ) PUNCT fis-4238 720 21 . . PUNCT fis-4238 721 1 state state NOUN fis-4238 721 2 of of ADP fis-4238 721 3 the the DET fis-4238 721 4 art art NOUN fis-4238 721 5 report report NOUN fis-4238 721 6 on on ADP fis-4238 721 7 base base NOUN fis-4238 721 8 metals metal NOUN fis-4238 721 9 and and CCONJ fis-4238 721 10 fracture fracture NOUN fis-4238 721 11 . . PUNCT fis-4238 722 1 tech tech NOUN fis-4238 722 2 . . PUNCT fis-4238 723 1 rep rep PROPN fis-4238 723 2 . . PROPN fis-4238 723 3 , , PUNCT fis-4238 723 4 federal federal ADJ fis-4238 723 5 emergency emergency NOUN fis-4238 723 6 management management NOUN fis-4238 723 7 agency agency NOUN fis-4238 723 8 . . PUNCT fis-4238 724 1 < < X fis-4238 724 2 < < X fis-4238 724 3 /ascii85encodepages /ascii85encodepage NOUN fis-4238 724 4 false false ADJ fis-4238 724 5 /allowtransparency /allowtransparency NOUN fis-4238 724 6 false false ADJ fis-4238 724 7 /autopositionepsfiles /autopositionepsfile NOUN fis-4238 724 8 true true ADJ fis-4238 724 9 /autorotatepages /autorotatepage NOUN fis-4238 724 10 /none /none PUNCT fis-4238 724 11 /binding /binding PUNCT fis-4238 724 12 /left /left ADJ fis-4238 725 1 /calgrayprofile /calgrayprofile VERB fis-4238 725 2 ( ( PUNCT fis-4238 725 3 dot dot NOUN fis-4238 725 4 gain gain NOUN fis-4238 725 5 20 20 NUM fis-4238 725 6 % % NOUN fis-4238 725 7 ) ) PUNCT fis-4238 725 8 /calrgbprofile /calrgbprofile PUNCT fis-4238 726 1 ( ( PUNCT fis-4238 726 2 srgb srgb PROPN fis-4238 726 3 iec61966 iec61966 NOUN fis-4238 726 4 - - PUNCT fis-4238 726 5 2.1 2.1 NUM fis-4238 726 6 ) ) PUNCT fis-4238 726 7 /calcmykprofile /calcmykprofile PUNCT fis-4238 727 1 ( ( PUNCT fis-4238 727 2 u.s u.s PROPN fis-4238 727 3 . . PROPN fis-4238 727 4 web web NOUN fis-4238 727 5 coated coat VERB fis-4238 727 6 \050swop\051 \050swop\051 ADJ fis-4238 727 7 v2 v2 NOUN fis-4238 727 8 ) ) PUNCT fis-4238 727 9 /srgbprofile /srgbprofile PUNCT fis-4238 727 10 ( ( PUNCT fis-4238 727 11 srgb srgb PROPN fis-4238 727 12 iec61966 iec61966 NOUN fis-4238 727 13 - - PUNCT fis-4238 727 14 2.1 2.1 NUM fis-4238 727 15 ) ) PUNCT fis-4238 727 16 /cannotembedfontpolicy /cannotembedfontpolicy PUNCT fis-4238 728 1 /error /error INTJ fis-4238 728 2 /compatibilitylevel /compatibilitylevel NOUN fis-4238 729 1 1.4 1.4 NUM fis-4238 729 2 /compressobjects /compressobject NOUN fis-4238 729 3 /tags /tag VERB fis-4238 729 4 /compresspages /compresspage NOUN fis-4238 729 5 true true ADJ fis-4238 729 6 /convertimagestoindexed /convertimagestoindexed ADJ fis-4238 729 7 true true ADJ fis-4238 729 8 /passthroughjpegimages /passthroughjpegimage NOUN fis-4238 729 9 true true ADJ fis-4238 729 10 /createjobticket /createjobticket NOUN fis-4238 729 11 false false ADJ fis-4238 729 12 /defaultrenderingintent /defaultrenderingintent NOUN fis-4238 729 13 /default /default PUNCT fis-4238 729 14 /detectblends /detectblend NOUN fis-4238 729 15 true true ADJ fis-4238 729 16 /detectcurves /detectcurve VERB fis-4238 730 1 0.0000 0.0000 NUM fis-4238 730 2 /colorconversionstrategy /colorconversionstrategy NOUN fis-4238 730 3 /cmyk /cmyk PUNCT fis-4238 731 1 /dothumbnails /dothumbnail VERB fis-4238 732 1 false false ADJ fis-4238 732 2 /embedallfonts /embedallfont NOUN fis-4238 732 3 true true ADJ fis-4238 732 4 /embedopentype /embedopentype PUNCT fis-4238 732 5 false false ADJ fis-4238 732 6 /parseiccprofilesincomments /parseiccprofilesincomment NOUN fis-4238 732 7 true true ADJ fis-4238 732 8 /embedjoboptions /embedjoboption NOUN fis-4238 732 9 true true ADJ fis-4238 732 10 /dscreportinglevel /dscreportinglevel NOUN fis-4238 732 11 0 0 NUM fis-4238 732 12 /emitdscwarnings /emitdscwarning NOUN fis-4238 732 13 false false ADJ fis-4238 732 14 /endpage /endpage NOUN fis-4238 732 15 -1 -1 NOUN fis-4238 732 16 /imagememory /imagememory NUM fis-4238 732 17 1048576 1048576 NUM fis-4238 732 18 /lockdistillerparams /lockdistillerparams NOUN fis-4238 732 19 false false ADJ fis-4238 732 20 /maxsubsetpct /maxsubsetpct ADJ fis-4238 732 21 100 100 NUM fis-4238 732 22 /optimize /optimize NOUN fis-4238 732 23 true true ADJ fis-4238 732 24 /opm /opm NOUN fis-4238 732 25 1 1 NUM fis-4238 732 26 /parsedsccomments /parsedsccomment NOUN fis-4238 732 27 true true ADJ fis-4238 732 28 /parsedsccommentsfordocinfo /parsedsccommentsfordocinfo VERB fis-4238 732 29 true true ADJ fis-4238 732 30 /preservecopypage /preservecopypage NOUN fis-4238 732 31 true true ADJ fis-4238 732 32 /preservedicmykvalues /preservedicmykvalue NOUN fis-4238 732 33 true true ADJ fis-4238 732 34 /preserveepsinfo /preserveepsinfo NOUN fis-4238 732 35 true true ADJ fis-4238 732 36 /preserveflatness /preserveflatness NOUN fis-4238 732 37 true true ADJ fis-4238 732 38 /preservehalftoneinfo /preservehalftoneinfo PUNCT fis-4238 732 39 false false ADJ fis-4238 732 40 /preserveopicomments /preserveopicomment NOUN fis-4238 732 41 true true ADJ fis-4238 732 42 /preserveoverprintsettings /preserveoverprintsetting NOUN fis-4238 732 43 true true ADJ fis-4238 732 44 /startpage /startpage NOUN fis-4238 732 45 1 1 NUM fis-4238 732 46 /subsetfonts /subsetfont NOUN fis-4238 732 47 true true ADJ fis-4238 732 48 /transferfunctioninfo /transferfunctioninfo PUNCT fis-4238 732 49 /apply /apply PUNCT fis-4238 732 50 /ucrandbginfo /ucrandbginfo PUNCT fis-4238 733 1 /preserve /preserve NOUN fis-4238 733 2 /useprologue /useprologue NOUN fis-4238 733 3 false false ADJ fis-4238 733 4 /colorsettingsfile /colorsettingsfile NOUN fis-4238 733 5 ( ( PUNCT fis-4238 733 6 ) ) PUNCT fis-4238 733 7 /alwaysembed /alwaysembe VERB fis-4238 733 8 [ [ PUNCT fis-4238 733 9 true true ADJ fis-4238 733 10 ] ] PUNCT fis-4238 733 11 /neverembed /neverembed PUNCT fis-4238 734 1 [ [ PUNCT fis-4238 734 2 true true ADJ fis-4238 734 3 ] ] PUNCT fis-4238 734 4 /antialiascolorimages /antialiascolorimages X fis-4238 734 5 false false ADJ fis-4238 734 6 /cropcolorimages /cropcolorimages PUNCT fis-4238 734 7 true true ADJ fis-4238 734 8 /colorimageminresolution /colorimageminresolution PUNCT fis-4238 734 9 300 300 NUM fis-4238 734 10 /colorimageminresolutionpolicy /colorimageminresolutionpolicy NOUN fis-4238 734 11 /ok /ok ADJ fis-4238 735 1 /downsamplecolorimages /downsamplecolorimage VERB fis-4238 736 1 true true ADJ fis-4238 736 2 /colorimagedownsampletype /colorimagedownsampletype PUNCT fis-4238 736 3 /bicubic /bicubic NOUN fis-4238 736 4 /colorimageresolution /colorimageresolution NOUN fis-4238 737 1 300 300 NUM fis-4238 737 2 /colorimagedepth /colorimagedepth PRON fis-4238 737 3 -1 -1 INTJ fis-4238 737 4 /colorimagemindownsampledepth /colorimagemindownsampledepth SYM fis-4238 737 5 1 1 NUM fis-4238 737 6 /colorimagedownsamplethreshold /colorimagedownsamplethreshold SYM fis-4238 737 7 1.50000 1.50000 NUM fis-4238 737 8 /encodecolorimages /encodecolorimage NOUN fis-4238 737 9 true true ADJ fis-4238 737 10 /colorimagefilter /colorimagefilter PUNCT fis-4238 737 11 /dctencode /dctencode PUNCT fis-4238 738 1 /autofiltercolorimages /autofiltercolorimage NOUN fis-4238 738 2 true true ADJ fis-4238 738 3 /colorimageautofilterstrategy /colorimageautofilterstrategy PUNCT fis-4238 738 4 /jpeg /jpeg PUNCT fis-4238 738 5 /coloracsimagedict /coloracsimagedict PUNCT fis-4238 739 1 < < X fis-4238 739 2 < < X fis-4238 739 3 /qfactor /qfactor NOUN fis-4238 739 4 0.15 0.15 NUM fis-4238 739 5 /hsamples /hsample NOUN fis-4238 740 1 [ [ X fis-4238 740 2 1 1 NUM fis-4238 740 3 1 1 NUM fis-4238 740 4 1 1 NUM fis-4238 740 5 1 1 NUM fis-4238 740 6 ] ] PUNCT fis-4238 740 7 /vsamples /vsample NOUN fis-4238 741 1 [ [ X fis-4238 741 2 1 1 NUM fis-4238 741 3 1 1 NUM fis-4238 741 4 1 1 NUM fis-4238 741 5 1 1 NUM fis-4238 741 6 ] ] PUNCT fis-4238 741 7 > > PUNCT fis-4238 741 8 > > X fis-4238 741 9 /colorimagedict /colorimagedict PUNCT fis-4238 742 1 < < X fis-4238 742 2 < < X fis-4238 742 3 /qfactor /qfactor NOUN fis-4238 742 4 0.15 0.15 NUM fis-4238 742 5 /hsamples /hsample NOUN fis-4238 743 1 [ [ X fis-4238 743 2 1 1 NUM fis-4238 743 3 1 1 NUM fis-4238 743 4 1 1 NUM fis-4238 743 5 1 1 NUM fis-4238 743 6 ] ] PUNCT fis-4238 743 7 /vsamples /vsample NOUN fis-4238 744 1 [ [ X fis-4238 744 2 1 1 NUM fis-4238 744 3 1 1 NUM fis-4238 744 4 1 1 NUM fis-4238 744 5 1 1 NUM fis-4238 744 6 ] ] PUNCT fis-4238 744 7 > > PUNCT fis-4238 744 8 > > X fis-4238 744 9 /jpeg2000coloracsimagedict /jpeg2000coloracsimagedict PUNCT fis-4238 745 1 < < X fis-4238 745 2 < < X fis-4238 745 3 /tilewidth /tilewidth PUNCT fis-4238 745 4 256 256 NUM fis-4238 745 5 /tileheight /tileheight NUM fis-4238 745 6 256 256 NUM fis-4238 745 7 /quality /quality NOUN fis-4238 745 8 30 30 NUM fis-4238 745 9 > > PUNCT fis-4238 745 10 > > X fis-4238 745 11 /jpeg2000colorimagedict /jpeg2000colorimagedict PUNCT fis-4238 745 12 < < X fis-4238 745 13 < < X fis-4238 745 14 /tilewidth /tilewidth PUNCT fis-4238 745 15 256 256 NUM fis-4238 745 16 /tileheight /tileheight NUM fis-4238 745 17 256 256 NUM fis-4238 745 18 /quality /quality NOUN fis-4238 745 19 30 30 NUM fis-4238 745 20 > > PUNCT fis-4238 745 21 > > X fis-4238 745 22 /antialiasgrayimages /antialiasgrayimages X fis-4238 745 23 false false ADJ fis-4238 745 24 /cropgrayimages /cropgrayimage NOUN fis-4238 745 25 true true ADJ fis-4238 745 26 /grayimageminresolution /grayimageminresolution ADV fis-4238 745 27 300 300 NUM fis-4238 745 28 /grayimageminresolutionpolicy /grayimageminresolutionpolicy NOUN fis-4238 745 29 /ok /ok ADJ fis-4238 745 30 /downsamplegrayimages /downsamplegrayimages PUNCT fis-4238 746 1 true true ADJ fis-4238 746 2 /grayimagedownsampletype /grayimagedownsampletype INTJ fis-4238 746 3 /bicubic /bicubic NOUN fis-4238 746 4 /grayimageresolution /grayimageresolution NOUN fis-4238 746 5 300 300 NUM fis-4238 746 6 /grayimagedepth /grayimagedepth PUNCT fis-4238 746 7 -1 -1 PUNCT fis-4238 746 8 /grayimagemindownsampledepth /grayimagemindownsampledepth PUNCT fis-4238 747 1 2 2 NUM fis-4238 747 2 /grayimagedownsamplethreshold /grayimagedownsamplethreshold NUM fis-4238 747 3 1.50000 1.50000 NUM fis-4238 747 4 /encodegrayimages /encodegrayimage NOUN fis-4238 747 5 true true ADJ fis-4238 747 6 /grayimagefilter /grayimagefilter NOUN fis-4238 747 7 /dctencode /dctencode PUNCT fis-4238 748 1 /autofiltergrayimages /autofiltergrayimages VERB fis-4238 748 2 true true ADJ fis-4238 748 3 /grayimageautofilterstrategy /grayimageautofilterstrategy INTJ fis-4238 748 4 /jpeg /jpeg PUNCT fis-4238 748 5 /grayacsimagedict /grayacsimagedict PUNCT fis-4238 749 1 < < X fis-4238 749 2 < < X fis-4238 749 3 /qfactor /qfactor NOUN fis-4238 749 4 0.15 0.15 NUM fis-4238 749 5 /hsamples /hsample NOUN fis-4238 750 1 [ [ X fis-4238 750 2 1 1 NUM fis-4238 750 3 1 1 NUM fis-4238 750 4 1 1 NUM fis-4238 750 5 1 1 NUM fis-4238 750 6 ] ] PUNCT fis-4238 750 7 /vsamples /vsample NOUN fis-4238 751 1 [ [ X fis-4238 751 2 1 1 NUM fis-4238 751 3 1 1 NUM fis-4238 751 4 1 1 NUM fis-4238 751 5 1 1 NUM fis-4238 751 6 ] ] PUNCT fis-4238 751 7 > > PUNCT fis-4238 751 8 > > X fis-4238 751 9 /grayimagedict /grayimagedict PUNCT fis-4238 752 1 < < X fis-4238 752 2 < < X fis-4238 752 3 /qfactor /qfactor NOUN fis-4238 752 4 0.15 0.15 NUM fis-4238 752 5 /hsamples /hsample NOUN fis-4238 753 1 [ [ X fis-4238 753 2 1 1 NUM fis-4238 753 3 1 1 NUM fis-4238 753 4 1 1 NUM fis-4238 753 5 1 1 NUM fis-4238 753 6 ] ] PUNCT fis-4238 753 7 /vsamples /vsample NOUN fis-4238 754 1 [ [ X fis-4238 754 2 1 1 NUM fis-4238 754 3 1 1 NUM fis-4238 754 4 1 1 NUM fis-4238 754 5 1 1 NUM fis-4238 754 6 ] ] PUNCT fis-4238 754 7 > > X fis-4238 754 8 > > X fis-4238 754 9 /jpeg2000grayacsimagedict /jpeg2000grayacsimagedict PUNCT fis-4238 755 1 < < X fis-4238 755 2 < < X fis-4238 755 3 /tilewidth /tilewidth PUNCT fis-4238 755 4 256 256 NUM fis-4238 755 5 /tileheight /tileheight NUM fis-4238 755 6 256 256 NUM fis-4238 755 7 /quality /quality NOUN fis-4238 755 8 30 30 NUM fis-4238 755 9 > > PUNCT fis-4238 755 10 > > X fis-4238 755 11 /jpeg2000grayimagedict /jpeg2000grayimagedict PUNCT fis-4238 755 12 < < X fis-4238 755 13 < < X fis-4238 755 14 /tilewidth /tilewidth PUNCT fis-4238 755 15 256 256 NUM fis-4238 755 16 /tileheight /tileheight NUM fis-4238 755 17 256 256 NUM fis-4238 755 18 /quality /quality NOUN fis-4238 755 19 30 30 NUM fis-4238 755 20 > > PUNCT fis-4238 755 21 > > X fis-4238 755 22 /antialiasmonoimages /antialiasmonoimage NOUN fis-4238 755 23 false false ADJ fis-4238 755 24 /cropmonoimages /cropmonoimage NOUN fis-4238 755 25 true true ADJ fis-4238 755 26 /monoimageminresolution /monoimageminresolution NUM fis-4238 755 27 1200 1200 NUM fis-4238 755 28 /monoimageminresolutionpolicy /monoimageminresolutionpolicy PUNCT fis-4238 756 1 /ok /ok PROPN fis-4238 756 2 /downsamplemonoimages /downsamplemonoimage VERB fis-4238 757 1 true true ADJ 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these these DET fis-4238 788 20 settings setting NOUN fis-4238 788 21 to to PART fis-4238 788 22 create create VERB fis-4238 788 23 adobe adobe PROPN fis-4238 788 24 pdf pdf PROPN fis-4238 788 25 documents document NOUN fis-4238 788 26 best well ADV fis-4238 788 27 suited suit VERB fis-4238 788 28 for for ADP fis-4238 788 29 high high ADJ fis-4238 788 30 - - PUNCT fis-4238 788 31 quality quality NOUN fis-4238 788 32 prepress prepress NOUN fis-4238 788 33 printing printing NOUN fis-4238 788 34 . . PUNCT fis-4238 789 1 created create VERB fis-4238 789 2 pdf pdf NOUN fis-4238 789 3 documents document NOUN fis-4238 789 4 can can AUX fis-4238 789 5 be be AUX fis-4238 789 6 opened open VERB fis-4238 789 7 with with ADP fis-4238 789 8 acrobat acrobat PROPN fis-4238 789 9 and and CCONJ fis-4238 789 10 adobe adobe PROPN fis-4238 789 11 reader reader PROPN fis-4238 789 12 5.0 5.0 NUM fis-4238 789 13 and and CCONJ fis-4238 789 14 later later ADV fis-4238 789 15 . . 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false false ADJ fis-4238 793 6 /includenonprinting /includenonprinting NOUN fis-4238 793 7 false false ADJ fis-4238 793 8 /includeslug /includeslug INTJ fis-4238 793 9 false false ADJ fis-4238 793 10 /namespace /namespace NOUN fis-4238 794 1 [ [ PUNCT fis-4238 794 2 ( ( PUNCT fis-4238 794 3 adobe adobe PROPN fis-4238 794 4 ) ) PUNCT fis-4238 794 5 ( ( PUNCT fis-4238 794 6 indesign indesign NOUN fis-4238 794 7 ) ) PUNCT fis-4238 794 8 ( ( PUNCT fis-4238 794 9 4.0 4.0 NUM fis-4238 794 10 ) ) PUNCT fis-4238 794 11 ] ] PUNCT fis-4238 794 12 /omitplacedbitmaps /omitplacedbitmaps PUNCT fis-4238 795 1 false false ADJ fis-4238 795 2 /omitplacedeps /omitplacedeps INTJ fis-4238 795 3 false false ADJ fis-4238 795 4 /omitplacedpdf /omitplacedpdf PUNCT fis-4238 795 5 false false ADJ fis-4238 795 6 /simulateoverprint /simulateoverprint NOUN fis-4238 795 7 /legacy /legacy PUNCT fis-4238 796 1 > > PUNCT fis-4238 796 2 > > X fis-4238 797 1 < < X fis-4238 797 2 < < X fis-4238 797 3 /addbleedmarks /addbleedmarks X fis-4238 797 4 false false ADJ fis-4238 797 5 /addcolorbars /addcolorbars INTJ fis-4238 797 6 false false ADJ fis-4238 797 7 /addcropmarks /addcropmarks PUNCT fis-4238 797 8 false false ADJ fis-4238 797 9 /addpageinfo /addpageinfo INTJ fis-4238 797 10 false false ADJ fis-4238 797 11 /addregmarks /addregmark NOUN fis-4238 797 12 false false ADJ fis-4238 797 13 /convertcolors /convertcolor NOUN fis-4238 797 14 /converttocmyk /converttocmyk INTJ fis-4238 797 15 /destinationprofilename /destinationprofilename PUNCT fis-4238 797 16 ( ( PUNCT fis-4238 797 17 ) ) PUNCT fis-4238 797 18 /destinationprofileselector /destinationprofileselector NOUN fis-4238 797 19 /documentcmyk /documentcmyk PUNCT fis-4238 797 20 /downsample16bitimages /downsample16bitimage NOUN fis-4238 797 21 true true ADJ fis-4238 797 22 /flattenerpreset /flattenerpreset PUNCT fis-4238 798 1 < < X fis-4238 798 2 < < X fis-4238 798 3 /presetselector /presetselector X fis-4238 798 4 /mediumresolution /mediumresolution NOUN fis-4238 798 5 > > PUNCT fis-4238 798 6 > > X fis-4238 798 7 /formelements /formelement NOUN fis-4238 799 1 false false ADJ fis-4238 799 2 /generatestructure /generatestructure PUNCT fis-4238 799 3 false false ADJ fis-4238 799 4 /includebookmarks /includebookmark NOUN fis-4238 799 5 false false ADJ fis-4238 799 6 /includehyperlinks /includehyperlinks INTJ fis-4238 799 7 false false ADJ fis-4238 799 8 /includeinteractive /includeinteractive ADJ fis-4238 799 9 false false ADJ fis-4238 799 10 /includelayers /includelayer NOUN fis-4238 799 11 false false ADJ fis-4238 799 12 /includeprofiles /includeprofiles INTJ fis-4238 799 13 false false ADJ fis-4238 799 14 /multimediahandling /multimediahandling NOUN fis-4238 800 1 /useobjectsettings /useobjectsettings PRON fis-4238 801 1 /namespace /namespace PUNCT fis-4238 802 1 [ [ PUNCT fis-4238 802 2 ( ( PUNCT fis-4238 802 3 adobe adobe PROPN fis-4238 802 4 ) ) PUNCT fis-4238 802 5 ( ( PUNCT fis-4238 802 6 creativesuite creativesuite NOUN fis-4238 802 7 ) ) PUNCT fis-4238 802 8 ( ( PUNCT fis-4238 802 9 2.0 2.0 NUM fis-4238 802 10 ) ) PUNCT fis-4238 802 11 ] ] PUNCT fis-4238 803 1 /pdfxoutputintentprofileselector /pdfxoutputintentprofileselector INTJ fis-4238 803 2 /documentcmyk /documentcmyk PUNCT fis-4238 804 1 /preserveediting /preserveedite VERB fis-4238 804 2 true true ADJ fis-4238 804 3 /untaggedcmykhandling /untaggedcmykhandling NOUN fis-4238 804 4 /leaveuntagged /leaveuntagge VERB fis-4238 804 5 /untaggedrgbhandling /untaggedrgbhandling NOUN fis-4238 804 6 /usedocumentprofile /usedocumentprofile INTJ fis-4238 804 7 /usedocumentbleed /usedocumentbleed NOUN fis-4238 805 1 false false ADJ fis-4238 805 2 > > PUNCT fis-4238 805 3 > > X fis-4238 805 4 ] ] PUNCT fis-4238 805 5 > > PUNCT fis-4238 805 6 > > X fis-4238 805 7 setdistillerparams setdistillerparam NOUN fis-4238 806 1 < < X fis-4238 806 2 < < X fis-4238 806 3 /hwresolution /hwresolution NOUN fis-4238 807 1 [ [ X fis-4238 807 2 2400 2400 NUM fis-4238 807 3 2400 2400 NUM fis-4238 807 4 ] ] PUNCT fis-4238 807 5 /pagesize /pagesize X fis-4238 808 1 [ [ X fis-4238 808 2 612.000 612.000 NUM fis-4238 808 3 792.000 792.000 NUM fis-4238 808 4 ] ] PUNCT fis-4238 808 5 > > PUNCT fis-4238 808 6 > > X fis-4238 808 7 setpagedevice setpagedevice PROPN