id sid tid token lemma pos fumecheng-767 1 1 mdr mdr PROPN fumecheng-767 1 2 temperature temperature NOUN fumecheng-767 1 3 dependence dependence NOUN fumecheng-767 1 4 facta facta PROPN fumecheng-767 1 5 universitatis universitatis PROPN fumecheng-767 1 6 series series NOUN fumecheng-767 1 7 : : PUNCT fumecheng-767 1 8 mechanical mechanical ADJ fumecheng-767 1 9 engineering engineering NOUN fumecheng-767 1 10 vol vol NOUN fumecheng-767 1 11 . . PROPN fumecheng-767 1 12 13 13 NUM fumecheng-767 1 13 , , PUNCT fumecheng-767 1 14 no no DET fumecheng-767 1 15 1 1 NUM fumecheng-767 1 16 , , PUNCT fumecheng-767 1 17 2015 2015 NUM fumecheng-767 1 18 , , PUNCT fumecheng-767 1 19 pp pp ADV fumecheng-767 1 20 . . PUNCT fumecheng-767 2 1 47 47 NUM fumecheng-767 2 2 65 65 NUM fumecheng-767 2 3 1flash 1flash NUM fumecheng-767 2 4 temperatures temperature NOUN fumecheng-767 2 5 generated generate VERB fumecheng-767 2 6 by by ADP fumecheng-767 2 7 friction friction NOUN fumecheng-767 2 8 of of ADP fumecheng-767 2 9 a a DET fumecheng-767 2 10 viscoelastic viscoelastic ADJ fumecheng-767 2 11 body body NOUN fumecheng-767 2 12 udc udc NOUN fumecheng-767 2 13 539 539 NUM fumecheng-767 2 14 rainer rainer PROPN fumecheng-767 2 15 heise heise PROPN fumecheng-767 2 16 berlin berlin PROPN fumecheng-767 2 17 institute institute PROPN fumecheng-767 2 18 of of ADP fumecheng-767 2 19 technology technology PROPN fumecheng-767 2 20 , , PUNCT fumecheng-767 2 21 institute institute NOUN fumecheng-767 2 22 of of ADP fumecheng-767 2 23 mechanics mechanic NOUN fumecheng-767 2 24 , , PUNCT fumecheng-767 2 25 germany germany PROPN fumecheng-767 2 26 abstract abstract NOUN fumecheng-767 2 27 . . PUNCT fumecheng-767 3 1 in in ADP fumecheng-767 3 2 this this DET fumecheng-767 3 3 study study NOUN fumecheng-767 3 4 , , PUNCT fumecheng-767 3 5 we we PRON fumecheng-767 3 6 elaborate elaborate VERB fumecheng-767 3 7 on on ADP fumecheng-767 3 8 the the DET fumecheng-767 3 9 friction friction NOUN fumecheng-767 3 10 between between ADP fumecheng-767 3 11 a a DET fumecheng-767 3 12 one one NUM fumecheng-767 3 13 - - PUNCT fumecheng-767 3 14 dimensional dimensional ADJ fumecheng-767 3 15 elastomer elastomer NOUN fumecheng-767 3 16 and and CCONJ fumecheng-767 3 17 a a DET fumecheng-767 3 18 one one NUM fumecheng-767 3 19 - - PUNCT fumecheng-767 3 20 dimensional dimensional ADJ fumecheng-767 3 21 rigid rigid ADJ fumecheng-767 3 22 randomly randomly ADV fumecheng-767 3 23 rough rough ADJ fumecheng-767 3 24 surface surface NOUN fumecheng-767 3 25 . . PUNCT fumecheng-767 4 1 special special ADJ fumecheng-767 4 2 emphasis emphasis NOUN fumecheng-767 4 3 is be AUX fumecheng-767 4 4 laid lay VERB fumecheng-767 4 5 on on ADP fumecheng-767 4 6 the the DET fumecheng-767 4 7 energy energy NOUN fumecheng-767 4 8 dissipation dissipation NOUN fumecheng-767 4 9 in in ADP fumecheng-767 4 10 the the DET fumecheng-767 4 11 elastomer elastomer NOUN fumecheng-767 4 12 . . PUNCT fumecheng-767 5 1 its its PRON fumecheng-767 5 2 subsequent subsequent ADJ fumecheng-767 5 3 temperature temperature NOUN fumecheng-767 5 4 change change NOUN fumecheng-767 5 5 is be AUX fumecheng-767 5 6 under under ADP fumecheng-767 5 7 inspection inspection NOUN fumecheng-767 5 8 . . PUNCT fumecheng-767 6 1 the the DET fumecheng-767 6 2 elastomer elastomer NOUN fumecheng-767 6 3 is be AUX fumecheng-767 6 4 modeled model VERB fumecheng-767 6 5 as as ADP fumecheng-767 6 6 a a DET fumecheng-767 6 7 spring spring NOUN fumecheng-767 6 8 and and CCONJ fumecheng-767 6 9 a a DET fumecheng-767 6 10 damper damper NOUN fumecheng-767 6 11 in in ADP fumecheng-767 6 12 parallel parallel NOUN fumecheng-767 6 13 ( ( PUNCT fumecheng-767 6 14 kelvin kelvin PROPN fumecheng-767 6 15 model model PROPN fumecheng-767 6 16 ) ) PUNCT fumecheng-767 6 17 in in ADP fumecheng-767 6 18 a a DET fumecheng-767 6 19 one one NUM fumecheng-767 6 20 - - PUNCT fumecheng-767 6 21 dimensional dimensional ADJ fumecheng-767 6 22 substitute substitute NOUN fumecheng-767 6 23 model model NOUN fumecheng-767 6 24 according accord VERB fumecheng-767 6 25 to to ADP fumecheng-767 6 26 the the DET fumecheng-767 6 27 concept concept NOUN fumecheng-767 6 28 of of ADP fumecheng-767 6 29 the the DET fumecheng-767 6 30 method method NOUN fumecheng-767 6 31 of of ADP fumecheng-767 6 32 dimensionality dimensionality NOUN fumecheng-767 6 33 reduction reduction NOUN fumecheng-767 6 34 ( ( PUNCT fumecheng-767 6 35 mdr mdr PROPN fumecheng-767 6 36 ) ) PUNCT fumecheng-767 6 37 . . PUNCT fumecheng-767 7 1 the the DET fumecheng-767 7 2 randomly randomly ADV fumecheng-767 7 3 rough rough ADJ fumecheng-767 7 4 surface surface NOUN fumecheng-767 7 5 is be AUX fumecheng-767 7 6 a a DET fumecheng-767 7 7 self self NOUN fumecheng-767 7 8 - - PUNCT fumecheng-767 7 9 affine affine NOUN fumecheng-767 7 10 onedimensional onedimensional ADJ fumecheng-767 7 11 fractal fractal NOUN fumecheng-767 7 12 whose whose DET fumecheng-767 7 13 hurst hurst PROPN fumecheng-767 7 14 exponent exponent PROPN fumecheng-767 7 15 h h PROPN fumecheng-767 7 16 is be AUX fumecheng-767 7 17 varied varied ADJ fumecheng-767 7 18 in in ADP fumecheng-767 7 19 an an DET fumecheng-767 7 20 extended extended ADJ fumecheng-767 7 21 range range NOUN fumecheng-767 7 22 between between ADP fumecheng-767 7 23 -1 -1 PUNCT fumecheng-767 7 24 and and CCONJ fumecheng-767 7 25 3 3 X fumecheng-767 7 26 . . X fumecheng-767 8 1 in in ADP fumecheng-767 8 2 full full ADJ fumecheng-767 8 3 contact contact NOUN fumecheng-767 8 4 , , PUNCT fumecheng-767 8 5 the the DET fumecheng-767 8 6 temperature temperature NOUN fumecheng-767 8 7 shift shift NOUN fumecheng-767 8 8 is be AUX fumecheng-767 8 9 dominated dominate VERB fumecheng-767 8 10 by by ADP fumecheng-767 8 11 ratio ratio NOUN fumecheng-767 8 12 between between ADP fumecheng-767 8 13 the the DET fumecheng-767 8 14 typical typical ADJ fumecheng-767 8 15 power power NOUN fumecheng-767 8 16 dissipated dissipate VERB fumecheng-767 8 17 in in ADP fumecheng-767 8 18 the the DET fumecheng-767 8 19 elastomer elastomer NOUN fumecheng-767 8 20 to to ADP fumecheng-767 8 21 the the DET fumecheng-767 8 22 power power NOUN fumecheng-767 8 23 that that PRON fumecheng-767 8 24 is be AUX fumecheng-767 8 25 led lead VERB fumecheng-767 8 26 away away ADV fumecheng-767 8 27 . . PUNCT fumecheng-767 9 1 it it PRON fumecheng-767 9 2 is be AUX fumecheng-767 9 3 independent independent ADJ fumecheng-767 9 4 of of ADP fumecheng-767 9 5 the the DET fumecheng-767 9 6 normal normal ADJ fumecheng-767 9 7 force force NOUN fumecheng-767 9 8 and and CCONJ fumecheng-767 9 9 proportional proportional NOUN fumecheng-767 9 10 to to ADP fumecheng-767 9 11 the the DET fumecheng-767 9 12 sliding slide VERB fumecheng-767 9 13 speed speed NOUN fumecheng-767 9 14 squared square VERB fumecheng-767 9 15 . . PUNCT fumecheng-767 10 1 the the DET fumecheng-767 10 2 flash flash NOUN fumecheng-767 10 3 temperature temperature NOUN fumecheng-767 10 4 behavior behavior NOUN fumecheng-767 10 5 is be AUX fumecheng-767 10 6 discussed discuss VERB fumecheng-767 10 7 for for ADP fumecheng-767 10 8 different different ADJ fumecheng-767 10 9 hurst hurst PROPN fumecheng-767 10 10 exponents exponents PROPN fumecheng-767 10 11 . . PUNCT fumecheng-767 11 1 key key ADJ fumecheng-767 11 2 words word NOUN fumecheng-767 11 3 : : PUNCT fumecheng-767 11 4 contact contact NOUN fumecheng-767 11 5 mechanics mechanic NOUN fumecheng-767 11 6 , , PUNCT fumecheng-767 11 7 elastomer elastomer NOUN fumecheng-767 11 8 friction friction NOUN fumecheng-767 11 9 , , PUNCT fumecheng-767 11 10 temperature temperature NOUN fumecheng-767 11 11 dependence dependence NOUN fumecheng-767 11 12 , , PUNCT fumecheng-767 11 13 method method NOUN fumecheng-767 11 14 of of ADP fumecheng-767 11 15 dimensionality dimensionality NOUN fumecheng-767 11 16 reduction reduction NOUN fumecheng-767 11 17 1 1 NUM fumecheng-767 11 18 . . PUNCT fumecheng-767 11 19 introduction introduction NOUN fumecheng-767 11 20 the the DET fumecheng-767 11 21 roughness roughness NOUN fumecheng-767 11 22 of of ADP fumecheng-767 11 23 surfaces surface NOUN fumecheng-767 11 24 is be AUX fumecheng-767 11 25 considered consider VERB fumecheng-767 11 26 to to PART fumecheng-767 11 27 be be AUX fumecheng-767 11 28 the the DET fumecheng-767 11 29 main main ADJ fumecheng-767 11 30 source source NOUN fumecheng-767 11 31 of of ADP fumecheng-767 11 32 friction friction NOUN fumecheng-767 11 33 since since SCONJ fumecheng-767 11 34 the the DET fumecheng-767 11 35 seminal seminal ADJ fumecheng-767 11 36 work work NOUN fumecheng-767 11 37 of of ADP fumecheng-767 11 38 bowden bowden PROPN fumecheng-767 11 39 and and CCONJ fumecheng-767 11 40 tabor tabor NOUN fumecheng-767 12 1 [ [ X fumecheng-767 12 2 1 1 NUM fumecheng-767 12 3 ] ] PUNCT fumecheng-767 12 4 . . PUNCT fumecheng-767 13 1 greenwood greenwood PROPN fumecheng-767 13 2 and and CCONJ fumecheng-767 13 3 tabor tabor NOUN fumecheng-767 13 4 [ [ X fumecheng-767 13 5 2 2 NUM fumecheng-767 13 6 ] ] PUNCT fumecheng-767 13 7 ascribe ascribe VERB fumecheng-767 13 8 the the DET fumecheng-767 13 9 frictional frictional ADJ fumecheng-767 13 10 behavior behavior NOUN fumecheng-767 13 11 of of ADP fumecheng-767 13 12 polymers polymer NOUN fumecheng-767 13 13 to to ADP fumecheng-767 13 14 the the DET fumecheng-767 13 15 deformation deformation NOUN fumecheng-767 13 16 losses loss NOUN fumecheng-767 13 17 in in ADP fumecheng-767 13 18 the the DET fumecheng-767 13 19 material material NOUN fumecheng-767 13 20 . . PUNCT fumecheng-767 14 1 experimentally experimentally ADV fumecheng-767 14 2 , , PUNCT fumecheng-767 14 3 grosch grosch VERB fumecheng-767 15 1 [ [ X fumecheng-767 15 2 3 3 NUM fumecheng-767 15 3 ] ] PUNCT fumecheng-767 15 4 found find VERB fumecheng-767 15 5 support support NOUN fumecheng-767 15 6 for for ADP fumecheng-767 15 7 these these DET fumecheng-767 15 8 thoughts thought NOUN fumecheng-767 15 9 by by ADP fumecheng-767 15 10 considering consider VERB fumecheng-767 15 11 friction friction NOUN fumecheng-767 15 12 between between ADP fumecheng-767 15 13 rubber rubber NOUN fumecheng-767 15 14 and and CCONJ fumecheng-767 15 15 hard hard ADJ fumecheng-767 15 16 specimens specimen NOUN fumecheng-767 15 17 with with ADP fumecheng-767 15 18 controlled control VERB fumecheng-767 15 19 roughness roughness NOUN fumecheng-767 15 20 . . PUNCT fumecheng-767 16 1 an an DET fumecheng-767 16 2 insight insight NOUN fumecheng-767 16 3 into into ADP fumecheng-767 16 4 the the DET fumecheng-767 16 5 role role NOUN fumecheng-767 16 6 of of ADP fumecheng-767 16 7 rheology rheology NOUN fumecheng-767 16 8 [ [ X fumecheng-767 16 9 4 4 NUM fumecheng-767 16 10 ] ] PUNCT fumecheng-767 16 11 and and CCONJ fumecheng-767 16 12 surface surface NOUN fumecheng-767 16 13 roughness roughness NOUN fumecheng-767 16 14 [ [ X fumecheng-767 16 15 5 5 NUM fumecheng-767 16 16 , , PUNCT fumecheng-767 16 17 6 6 NUM fumecheng-767 16 18 ] ] PUNCT fumecheng-767 16 19 in in ADP fumecheng-767 16 20 polymer polymer NOUN fumecheng-767 16 21 friction friction NOUN fumecheng-767 16 22 was be AUX fumecheng-767 16 23 gained gain VERB fumecheng-767 16 24 in in ADP fumecheng-767 16 25 the the DET fumecheng-767 16 26 subsequent subsequent ADJ fumecheng-767 16 27 years year NOUN fumecheng-767 16 28 . . PUNCT fumecheng-767 17 1 the the DET fumecheng-767 17 2 concept concept NOUN fumecheng-767 17 3 of of ADP fumecheng-767 17 4 the the DET fumecheng-767 17 5 coefficient coefficient NOUN fumecheng-767 17 6 of of ADP fumecheng-767 17 7 friction friction NOUN fumecheng-767 17 8 is be AUX fumecheng-767 17 9 used use VERB fumecheng-767 17 10 in in ADP fumecheng-767 17 11 most most ADJ fumecheng-767 17 12 works work NOUN fumecheng-767 17 13 in in ADP fumecheng-767 17 14 the the DET fumecheng-767 17 15 field field NOUN fumecheng-767 17 16 . . PUNCT fumecheng-767 18 1 hereby hereby ADV fumecheng-767 18 2 , , PUNCT fumecheng-767 18 3 amontons amonton NOUN fumecheng-767 18 4 ' ' PART fumecheng-767 18 5 laws law NOUN fumecheng-767 18 6 are be AUX fumecheng-767 18 7 implicitly implicitly ADV fumecheng-767 18 8 considered consider VERB fumecheng-767 18 9 to to PART fumecheng-767 18 10 hold hold VERB fumecheng-767 18 11 : : PUNCT fumecheng-767 18 12 the the DET fumecheng-767 18 13 frictional frictional ADJ fumecheng-767 18 14 force force NOUN fumecheng-767 18 15 is be AUX fumecheng-767 18 16 proportional proportional ADJ fumecheng-767 18 17 to to ADP fumecheng-767 18 18 the the DET fumecheng-767 18 19 normal normal ADJ fumecheng-767 18 20 force force NOUN fumecheng-767 18 21 and and CCONJ fumecheng-767 18 22 hence hence ADV fumecheng-767 18 23 the the DET fumecheng-767 18 24 coefficient coefficient NOUN fumecheng-767 18 25 of of ADP fumecheng-767 18 26 friction friction NOUN fumecheng-767 18 27 is be AUX fumecheng-767 18 28 independent independent ADJ fumecheng-767 18 29 of of ADP fumecheng-767 18 30 the the DET fumecheng-767 18 31 normal normal ADJ fumecheng-767 18 32 force force NOUN fumecheng-767 18 33 [ [ X fumecheng-767 18 34 7 7 NUM fumecheng-767 18 35 , , PUNCT fumecheng-767 18 36 8 8 NUM fumecheng-767 18 37 ] ] PUNCT fumecheng-767 18 38 . . PUNCT fumecheng-767 19 1 this this PRON fumecheng-767 19 2 is be AUX fumecheng-767 19 3 a a DET fumecheng-767 19 4 widely widely ADV fumecheng-767 19 5 spread spread VERB fumecheng-767 19 6 law law NOUN fumecheng-767 19 7 , , PUNCT fumecheng-767 19 8 which which PRON fumecheng-767 19 9 is be AUX fumecheng-767 19 10 a a DET fumecheng-767 19 11 rather rather ADV fumecheng-767 19 12 crude crude ADJ fumecheng-767 19 13 model model NOUN fumecheng-767 19 14 of of ADP fumecheng-767 19 15 real real ADJ fumecheng-767 19 16 frictional frictional ADJ fumecheng-767 19 17 systems system NOUN fumecheng-767 19 18 . . PUNCT fumecheng-767 20 1 it it PRON fumecheng-767 20 2 is be AUX fumecheng-767 20 3 well well ADV fumecheng-767 20 4 - - PUNCT fumecheng-767 20 5 known know VERB fumecheng-767 20 6 that that SCONJ fumecheng-767 20 7 both both CCONJ fumecheng-767 20 8 the the DET fumecheng-767 20 9 static static NOUN fumecheng-767 20 10 and and CCONJ fumecheng-767 20 11 the the PRON fumecheng-767 20 12 received receive VERB fumecheng-767 20 13 january january PROPN fumecheng-767 20 14 11 11 NUM fumecheng-767 20 15 , , PUNCT fumecheng-767 20 16 2015 2015 NUM fumecheng-767 20 17 / / SYM fumecheng-767 20 18 accepted accept VERB fumecheng-767 20 19 fabruary fabruary ADJ fumecheng-767 20 20 14 14 NUM fumecheng-767 20 21 , , PUNCT fumecheng-767 20 22 2015 2015 NUM fumecheng-767 20 23 corresponding correspond VERB fumecheng-767 20 24 author author NOUN fumecheng-767 20 25 : : PUNCT fumecheng-767 20 26 rainer rainer PROPN fumecheng-767 20 27 heise heise PROPN fumecheng-767 20 28 institute institute PROPN fumecheng-767 20 29 for for ADP fumecheng-767 20 30 mechanics mechanic NOUN fumecheng-767 20 31 , , PUNCT fumecheng-767 20 32 technische technische PROPN fumecheng-767 20 33 universität universität PROPN fumecheng-767 20 34 berlin berlin PROPN fumecheng-767 20 35 , , PUNCT fumecheng-767 20 36 straße straße PROPN fumecheng-767 20 37 des des PROPN fumecheng-767 20 38 17 17 NUM fumecheng-767 20 39 . . PUNCT fumecheng-767 21 1 juni juni PROPN fumecheng-767 21 2 135 135 NUM fumecheng-767 21 3 , , PUNCT fumecheng-767 21 4 d10623 d10623 ADV fumecheng-767 21 5 berlin berlin PROPN fumecheng-767 21 6 , , PUNCT fumecheng-767 21 7 germany germany PROPN fumecheng-767 21 8 e e PROPN fumecheng-767 21 9 - - NOUN fumecheng-767 21 10 mail mail NOUN fumecheng-767 21 11 : : PUNCT fumecheng-767 21 12 rainer.heise@tu-berlin.de rainer.heise@tu-berlin.de ADP fumecheng-767 21 13 original original ADJ fumecheng-767 21 14 scientific scientific ADJ fumecheng-767 21 15 paper paper NOUN fumecheng-767 21 16 48 48 NUM fumecheng-767 21 17 r. r. PROPN fumecheng-767 21 18 heise heise PROPN fumecheng-767 21 19 dynamic dynamic ADJ fumecheng-767 21 20 coefficient coefficient NOUN fumecheng-767 21 21 of of ADP fumecheng-767 21 22 friction friction NOUN fumecheng-767 21 23 may may AUX fumecheng-767 21 24 be be AUX fumecheng-767 21 25 changed change VERB fumecheng-767 21 26 by by ADP fumecheng-767 21 27 a a DET fumecheng-767 21 28 factor factor NOUN fumecheng-767 21 29 of of ADP fumecheng-767 21 30 four four NUM fumecheng-767 21 31 depending depend VERB fumecheng-767 21 32 on on ADP fumecheng-767 21 33 geometrical geometrical ADJ fumecheng-767 21 34 and and CCONJ fumecheng-767 21 35 loading loading NOUN fumecheng-767 21 36 conditions condition NOUN fumecheng-767 21 37 of of ADP fumecheng-767 21 38 the the DET fumecheng-767 21 39 tribological tribological ADJ fumecheng-767 21 40 system system NOUN fumecheng-767 21 41 under under ADP fumecheng-767 21 42 observation observation NOUN fumecheng-767 21 43 . . PUNCT fumecheng-767 22 1 schallamach schallamach VERB fumecheng-767 22 2 [ [ X fumecheng-767 22 3 9 9 NUM fumecheng-767 22 4 ] ] PUNCT fumecheng-767 22 5 studied study VERB fumecheng-767 22 6 elastomer elastomer NOUN fumecheng-767 22 7 friction friction NOUN fumecheng-767 22 8 experimentally experimentally ADV fumecheng-767 22 9 . . PUNCT fumecheng-767 23 1 deviations deviation NOUN fumecheng-767 23 2 from from ADP fumecheng-767 23 3 amontons amonton NOUN fumecheng-767 23 4 ' ' PART fumecheng-767 23 5 laws law NOUN fumecheng-767 23 6 were be AUX fumecheng-767 23 7 under under ADP fumecheng-767 23 8 investigation investigation NOUN fumecheng-767 23 9 in in ADP fumecheng-767 23 10 recent recent ADJ fumecheng-767 23 11 studies study NOUN fumecheng-767 23 12 [ [ X fumecheng-767 23 13 10 10 NUM fumecheng-767 23 14 , , PUNCT fumecheng-767 23 15 11 11 NUM fumecheng-767 23 16 ] ] PUNCT fumecheng-767 23 17 . . PUNCT fumecheng-767 24 1 they they PRON fumecheng-767 24 2 can can AUX fumecheng-767 24 3 originate originate VERB fumecheng-767 24 4 from from ADP fumecheng-767 24 5 macroscopic macroscopic ADJ fumecheng-767 24 6 interfacial interfacial ADJ fumecheng-767 24 7 dynamics dynamic NOUN fumecheng-767 24 8 [ [ X fumecheng-767 24 9 12 12 NUM fumecheng-767 24 10 , , PUNCT fumecheng-767 24 11 13 13 NUM fumecheng-767 24 12 , , PUNCT fumecheng-767 24 13 14 14 NUM fumecheng-767 24 14 ] ] PUNCT fumecheng-767 24 15 or or CCONJ fumecheng-767 24 16 are be AUX fumecheng-767 24 17 related relate VERB fumecheng-767 24 18 to to ADP fumecheng-767 24 19 the the DET fumecheng-767 24 20 contact contact NOUN fumecheng-767 24 21 mechanics mechanic NOUN fumecheng-767 24 22 of of ADP fumecheng-767 24 23 rough rough ADJ fumecheng-767 24 24 interfaces interface NOUN fumecheng-767 24 25 . . PUNCT fumecheng-767 25 1 in in ADP fumecheng-767 25 2 this this DET fumecheng-767 25 3 study study NOUN fumecheng-767 25 4 , , PUNCT fumecheng-767 25 5 we we PRON fumecheng-767 25 6 consider consider VERB fumecheng-767 25 7 the the DET fumecheng-767 25 8 thermodynamic thermodynamic ADJ fumecheng-767 25 9 behavior behavior NOUN fumecheng-767 25 10 of of ADP fumecheng-767 25 11 elastomers elastomer NOUN fumecheng-767 25 12 due due ADJ fumecheng-767 25 13 to to ADP fumecheng-767 25 14 friction friction NOUN fumecheng-767 25 15 in in ADP fumecheng-767 25 16 situations situation NOUN fumecheng-767 25 17 where where SCONJ fumecheng-767 25 18 amontons amonton NOUN fumecheng-767 25 19 ' ' PART fumecheng-767 25 20 laws law NOUN fumecheng-767 25 21 lose lose VERB fumecheng-767 25 22 their their PRON fumecheng-767 25 23 validity validity NOUN fumecheng-767 25 24 . . PUNCT fumecheng-767 26 1 some some DET fumecheng-767 26 2 basic basic ADJ fumecheng-767 26 3 understanding understanding NOUN fumecheng-767 26 4 of of ADP fumecheng-767 26 5 the the DET fumecheng-767 26 6 frictional frictional ADJ fumecheng-767 26 7 response response NOUN fumecheng-767 26 8 of of ADP fumecheng-767 26 9 a a DET fumecheng-767 26 10 viscoelastic viscoelastic ADJ fumecheng-767 26 11 body body NOUN fumecheng-767 26 12 is be AUX fumecheng-767 26 13 captured capture VERB fumecheng-767 26 14 from from ADP fumecheng-767 26 15 a a DET fumecheng-767 26 16 simple simple ADJ fumecheng-767 26 17 model model NOUN fumecheng-767 26 18 : : PUNCT fumecheng-767 26 19 ( ( PUNCT fumecheng-767 26 20 i i NOUN fumecheng-767 26 21 ) ) PUNCT fumecheng-767 26 22 the the DET fumecheng-767 26 23 elastomer elastomer NOUN fumecheng-767 26 24 is be AUX fumecheng-767 26 25 modeled model VERB fumecheng-767 26 26 as as ADP fumecheng-767 26 27 a a DET fumecheng-767 26 28 kelvin kelvin PROPN fumecheng-767 26 29 body body NOUN fumecheng-767 26 30 , , PUNCT fumecheng-767 26 31 which which PRON fumecheng-767 26 32 is be AUX fumecheng-767 26 33 completely completely ADV fumecheng-767 26 34 defined define VERB fumecheng-767 26 35 by by ADP fumecheng-767 26 36 a a DET fumecheng-767 26 37 constant constant ADJ fumecheng-767 26 38 elastic elastic ADJ fumecheng-767 26 39 modulus modulus NOUN fumecheng-767 26 40 and and CCONJ fumecheng-767 26 41 a a DET fumecheng-767 26 42 thermally thermally ADV fumecheng-767 26 43 activated activate VERB fumecheng-767 26 44 viscosity viscosity NOUN fumecheng-767 26 45 , , PUNCT fumecheng-767 26 46 ( ( PUNCT fumecheng-767 26 47 ii ii NOUN fumecheng-767 26 48 ) ) PUNCT fumecheng-767 26 49 the the DET fumecheng-767 26 50 undeformed undeformed ADJ fumecheng-767 26 51 surface surface NOUN fumecheng-767 26 52 is be AUX fumecheng-767 26 53 plain plain ADJ fumecheng-767 26 54 and and CCONJ fumecheng-767 26 55 exhibits exhibit VERB fumecheng-767 26 56 no no DET fumecheng-767 26 57 friction friction NOUN fumecheng-767 26 58 microscopically microscopically ADV fumecheng-767 26 59 , , PUNCT fumecheng-767 26 60 ( ( PUNCT fumecheng-767 26 61 iii iii X fumecheng-767 26 62 ) ) PUNCT fumecheng-767 26 63 the the DET fumecheng-767 26 64 counter counter NOUN fumecheng-767 26 65 body body NOUN fumecheng-767 26 66 is be AUX fumecheng-767 26 67 rigid rigid ADJ fumecheng-767 26 68 and and CCONJ fumecheng-767 26 69 has have VERB fumecheng-767 26 70 a a DET fumecheng-767 26 71 randomly randomly ADV fumecheng-767 26 72 rough rough ADJ fumecheng-767 26 73 , , PUNCT fumecheng-767 26 74 self self NOUN fumecheng-767 26 75 - - PUNCT fumecheng-767 26 76 affine affine NOUN fumecheng-767 26 77 fractal fractal ADJ fumecheng-767 26 78 surface surface NOUN fumecheng-767 26 79 , , PUNCT fumecheng-767 26 80 ( ( PUNCT fumecheng-767 26 81 iv iv X fumecheng-767 26 82 ) ) PUNCT fumecheng-767 26 83 capillarity capillarity NOUN fumecheng-767 26 84 and and CCONJ fumecheng-767 26 85 adhesion adhesion NOUN fumecheng-767 26 86 are be AUX fumecheng-767 26 87 excluded exclude VERB fumecheng-767 26 88 , , PUNCT fumecheng-767 26 89 ( ( PUNCT fumecheng-767 26 90 v v NOUN fumecheng-767 26 91 ) ) PUNCT fumecheng-767 26 92 the the DET fumecheng-767 26 93 features feature NOUN fumecheng-767 26 94 are be AUX fumecheng-767 26 95 investigated investigate VERB fumecheng-767 26 96 in in ADP fumecheng-767 26 97 a a DET fumecheng-767 26 98 one one NUM fumecheng-767 26 99 - - PUNCT fumecheng-767 26 100 dimensional dimensional ADJ fumecheng-767 26 101 substitute substitute NOUN fumecheng-767 26 102 model model NOUN fumecheng-767 26 103 . . PUNCT fumecheng-767 27 1 although although SCONJ fumecheng-767 27 2 these these DET fumecheng-767 27 3 conditions condition NOUN fumecheng-767 27 4 seem seem VERB fumecheng-767 27 5 to to PART fumecheng-767 27 6 simplify simplify VERB fumecheng-767 27 7 the the DET fumecheng-767 27 8 situation situation NOUN fumecheng-767 27 9 vastly vastly ADV fumecheng-767 27 10 we we PRON fumecheng-767 27 11 still still ADV fumecheng-767 27 12 obtain obtain VERB fumecheng-767 27 13 an an DET fumecheng-767 27 14 interesting interesting ADJ fumecheng-767 27 15 , , PUNCT fumecheng-767 27 16 non non ADJ fumecheng-767 27 17 - - ADJ fumecheng-767 27 18 trivial trivial ADJ fumecheng-767 27 19 frictional frictional ADJ fumecheng-767 27 20 and and CCONJ fumecheng-767 27 21 thermodynamic thermodynamic ADJ fumecheng-767 27 22 behavior behavior NOUN fumecheng-767 27 23 of of ADP fumecheng-767 27 24 the the DET fumecheng-767 27 25 elastomer elastomer NOUN fumecheng-767 27 26 . . PUNCT fumecheng-767 28 1 we we PRON fumecheng-767 28 2 can can AUX fumecheng-767 28 3 not not PART fumecheng-767 28 4 claim claim VERB fumecheng-767 28 5 a a DET fumecheng-767 28 6 direct direct ADJ fumecheng-767 28 7 one one NUM fumecheng-767 28 8 - - PUNCT fumecheng-767 28 9 to to ADP fumecheng-767 28 10 - - PUNCT fumecheng-767 28 11 one one NUM fumecheng-767 28 12 correspondence correspondence NOUN fumecheng-767 28 13 to to ADP fumecheng-767 28 14 a a DET fumecheng-767 28 15 full full ADV fumecheng-767 28 16 - - PUNCT fumecheng-767 28 17 fledged fledge VERB fumecheng-767 28 18 three three NUM fumecheng-767 28 19 dimensional dimensional ADJ fumecheng-767 28 20 analysis analysis NOUN fumecheng-767 28 21 but but CCONJ fumecheng-767 28 22 we we PRON fumecheng-767 28 23 see see VERB fumecheng-767 28 24 a a DET fumecheng-767 28 25 broad broad ADJ fumecheng-767 28 26 applicability applicability NOUN fumecheng-767 28 27 of of ADP fumecheng-767 28 28 our our PRON fumecheng-767 28 29 results result NOUN fumecheng-767 28 30 to to ADP fumecheng-767 28 31 one one NUM fumecheng-767 28 32 - - PUNCT fumecheng-767 28 33 dimensional dimensional ADJ fumecheng-767 28 34 grounds ground NOUN fumecheng-767 28 35 if if SCONJ fumecheng-767 28 36 the the DET fumecheng-767 28 37 rules rule NOUN fumecheng-767 28 38 put put VERB fumecheng-767 28 39 forward forward ADV fumecheng-767 28 40 in in ADP fumecheng-767 28 41 the the DET fumecheng-767 28 42 method method NOUN fumecheng-767 28 43 of of ADP fumecheng-767 28 44 dimensionality dimensionality NOUN fumecheng-767 28 45 reduction reduction NOUN fumecheng-767 28 46 ( ( PUNCT fumecheng-767 28 47 mdr mdr NOUN fumecheng-767 28 48 ) ) PUNCT fumecheng-767 29 1 [ [ X fumecheng-767 29 2 15 15 NUM fumecheng-767 29 3 - - SYM fumecheng-767 29 4 18 18 NUM fumecheng-767 29 5 ] ] PUNCT fumecheng-767 29 6 are be AUX fumecheng-767 29 7 taken take VERB fumecheng-767 29 8 into into ADP fumecheng-767 29 9 account account NOUN fumecheng-767 29 10 . . PUNCT fumecheng-767 30 1 li li PROPN fumecheng-767 30 2 et et PROPN fumecheng-767 30 3 al al PROPN fumecheng-767 30 4 . . PUNCT fumecheng-767 31 1 [ [ X fumecheng-767 31 2 19 19 NUM fumecheng-767 31 3 ] ] PUNCT fumecheng-767 31 4 provided provide VERB fumecheng-767 31 5 a a DET fumecheng-767 31 6 study study NOUN fumecheng-767 31 7 of of ADP fumecheng-767 31 8 a a DET fumecheng-767 31 9 one one NUM fumecheng-767 31 10 - - PUNCT fumecheng-767 31 11 dimensional dimensional ADJ fumecheng-767 31 12 rough rough ADJ fumecheng-767 31 13 surface surface NOUN fumecheng-767 31 14 in in ADP fumecheng-767 31 15 contact contact NOUN fumecheng-767 31 16 with with ADP fumecheng-767 31 17 an an DET fumecheng-767 31 18 elastomer elastomer NOUN fumecheng-767 31 19 . . PUNCT fumecheng-767 32 1 dimaki dimaki NOUN fumecheng-767 32 2 and and CCONJ fumecheng-767 32 3 popov popov PROPN fumecheng-767 33 1 [ [ X fumecheng-767 33 2 20 20 NUM fumecheng-767 33 3 ] ] PUNCT fumecheng-767 33 4 investigated investigate VERB fumecheng-767 33 5 the the DET fumecheng-767 33 6 temperature temperature NOUN fumecheng-767 33 7 dependence dependence NOUN fumecheng-767 33 8 of of ADP fumecheng-767 33 9 the the DET fumecheng-767 33 10 coefficient coefficient NOUN fumecheng-767 33 11 of of ADP fumecheng-767 33 12 friction friction NOUN fumecheng-767 33 13 for for ADP fumecheng-767 33 14 elastomers elastomer NOUN fumecheng-767 33 15 for for ADP fumecheng-767 33 16 an an DET fumecheng-767 33 17 indented indented ADJ fumecheng-767 33 18 cone cone NOUN fumecheng-767 33 19 . . PUNCT fumecheng-767 34 1 the the DET fumecheng-767 34 2 aim aim NOUN fumecheng-767 34 3 of of ADP fumecheng-767 34 4 this this DET fumecheng-767 34 5 note note NOUN fumecheng-767 34 6 is be AUX fumecheng-767 34 7 to to PART fumecheng-767 34 8 study study VERB fumecheng-767 34 9 the the DET fumecheng-767 34 10 behavior behavior NOUN fumecheng-767 34 11 of of ADP fumecheng-767 34 12 an an DET fumecheng-767 34 13 elastomer elastomer NOUN fumecheng-767 34 14 in in ADP fumecheng-767 34 15 contact contact NOUN fumecheng-767 34 16 with with ADP fumecheng-767 34 17 a a DET fumecheng-767 34 18 rough rough ADJ fumecheng-767 34 19 surface surface NOUN fumecheng-767 34 20 when when SCONJ fumecheng-767 34 21 temperature temperature NOUN fumecheng-767 34 22 shifts shift NOUN fumecheng-767 34 23 in in ADP fumecheng-767 34 24 the the DET fumecheng-767 34 25 contacts contact NOUN fumecheng-767 34 26 are be AUX fumecheng-767 34 27 admitted admit VERB fumecheng-767 34 28 . . PUNCT fumecheng-767 35 1 the the DET fumecheng-767 35 2 mdr mdr PROPN fumecheng-767 35 3 maps map VERB fumecheng-767 35 4 three three NUM fumecheng-767 35 5 - - PUNCT fumecheng-767 35 6 dimensional dimensional ADJ fumecheng-767 35 7 frictional frictional ADJ fumecheng-767 35 8 problems problem NOUN fumecheng-767 35 9 onto onto ADP fumecheng-767 35 10 one one NUM fumecheng-767 35 11 - - PUNCT fumecheng-767 35 12 dimensional dimensional ADJ fumecheng-767 35 13 ones one NOUN fumecheng-767 35 14 . . PUNCT fumecheng-767 36 1 thereby thereby ADV fumecheng-767 36 2 , , PUNCT fumecheng-767 36 3 two two NUM fumecheng-767 36 4 different different ADJ fumecheng-767 36 5 steps step NOUN fumecheng-767 36 6 have have VERB fumecheng-767 36 7 to to PART fumecheng-767 36 8 be be AUX fumecheng-767 36 9 taken take VERB fumecheng-767 36 10 . . PUNCT fumecheng-767 37 1 firstly firstly ADV fumecheng-767 37 2 , , PUNCT fumecheng-767 37 3 the the DET fumecheng-767 37 4 contact contact NOUN fumecheng-767 37 5 geometry geometry NOUN fumecheng-767 37 6 of of ADP fumecheng-767 37 7 the the DET fumecheng-767 37 8 surface surface NOUN fumecheng-767 37 9 has have VERB fumecheng-767 37 10 to to PART fumecheng-767 37 11 be be AUX fumecheng-767 37 12 taken take VERB fumecheng-767 37 13 to to ADP fumecheng-767 37 14 a a DET fumecheng-767 37 15 one one NUM fumecheng-767 37 16 - - PUNCT fumecheng-767 37 17 dimensional dimensional ADJ fumecheng-767 37 18 substitute substitute NOUN fumecheng-767 37 19 model model NOUN fumecheng-767 37 20 . . PUNCT fumecheng-767 38 1 secondly secondly ADV fumecheng-767 38 2 , , PUNCT fumecheng-767 38 3 physical physical ADJ fumecheng-767 38 4 quantities quantity NOUN fumecheng-767 38 5 in in ADP fumecheng-767 38 6 the the DET fumecheng-767 38 7 contact contact NOUN fumecheng-767 38 8 have have VERB fumecheng-767 38 9 to to PART fumecheng-767 38 10 be be AUX fumecheng-767 38 11 calculated calculate VERB fumecheng-767 38 12 in in ADP fumecheng-767 38 13 the the DET fumecheng-767 38 14 model model NOUN fumecheng-767 38 15 . . PUNCT fumecheng-767 39 1 let let VERB fumecheng-767 39 2 us we PRON fumecheng-767 39 3 review review VERB fumecheng-767 39 4 a a DET fumecheng-767 39 5 certain certain ADJ fumecheng-767 39 6 class class NOUN fumecheng-767 39 7 of of ADP fumecheng-767 39 8 surfaces surface NOUN fumecheng-767 39 9 that that PRON fumecheng-767 39 10 we we PRON fumecheng-767 39 11 employ employ VERB fumecheng-767 39 12 for for ADP fumecheng-767 39 13 our our PRON fumecheng-767 39 14 model model NOUN fumecheng-767 39 15 building building NOUN fumecheng-767 39 16 . . PUNCT fumecheng-767 40 1 1.1 1.1 NUM fumecheng-767 40 2 self self NOUN fumecheng-767 40 3 - - PUNCT fumecheng-767 40 4 affine affine NOUN fumecheng-767 40 5 isotropic isotropic NOUN fumecheng-767 40 6 surfaces surface NOUN fumecheng-767 40 7 and and CCONJ fumecheng-767 40 8 fractal fractal ADJ fumecheng-767 40 9 surfaces surface NOUN fumecheng-767 40 10 an an DET fumecheng-767 40 11 arbitrary arbitrary ADJ fumecheng-767 40 12 surface surface NOUN fumecheng-767 40 13 may may AUX fumecheng-767 40 14 be be AUX fumecheng-767 40 15 described describe VERB fumecheng-767 40 16 by by ADP fumecheng-767 40 17 certain certain ADJ fumecheng-767 40 18 statistical statistical ADJ fumecheng-767 40 19 key key ADJ fumecheng-767 40 20 values value NOUN fumecheng-767 40 21 . . PUNCT fumecheng-767 41 1 we we PRON fumecheng-767 41 2 want want VERB fumecheng-767 41 3 to to PART fumecheng-767 41 4 mention mention VERB fumecheng-767 41 5 here here ADV fumecheng-767 41 6 the the DET fumecheng-767 41 7 root root NOUN fumecheng-767 41 8 mean mean NOUN fumecheng-767 41 9 square square PROPN fumecheng-767 41 10 ( ( PUNCT fumecheng-767 41 11 rms rm NOUN fumecheng-767 41 12 ) ) PUNCT fumecheng-767 41 13 roughness roughness NOUN fumecheng-767 41 14 2h 2h NUM fumecheng-767 41 15 h h NOUN fumecheng-767 41 16   CCONJ fumecheng-767 41 17   PROPN fumecheng-767 41 18 and and CCONJ fumecheng-767 41 19 the the DET fumecheng-767 41 20 rms rm NOUN fumecheng-767 41 21 gradient gradient NOUN fumecheng-767 41 22 2 2 NUM fumecheng-767 41 23 ( ( PUNCT fumecheng-767 41 24 ) ) PUNCT fumecheng-767 41 25 h h NOUN fumecheng-767 41 26 h h PROPN fumecheng-767 42 1   NOUN fumecheng-767 42 2   PRON fumecheng-767 42 3   NOUN fumecheng-767 42 4   NOUN fumecheng-767 42 5 , , PUNCT fumecheng-767 42 6 where where SCONJ fumecheng-767 42 7   NUM fumecheng-767 42 8 denotes denote VERB fumecheng-767 42 9 the the DET fumecheng-767 42 10 ensemble ensemble ADJ fumecheng-767 42 11 average average NOUN fumecheng-767 42 12 over over ADP fumecheng-767 42 13 several several ADJ fumecheng-767 42 14 realizations realization NOUN fumecheng-767 42 15 of of ADP fumecheng-767 42 16 the the DET fumecheng-767 42 17 system system NOUN fumecheng-767 42 18 . . PUNCT fumecheng-767 43 1 both both DET fumecheng-767 43 2 quantities quantity NOUN fumecheng-767 43 3 can can AUX fumecheng-767 43 4 be be AUX fumecheng-767 43 5 related relate VERB fumecheng-767 43 6 to to ADP fumecheng-767 43 7 the the DET fumecheng-767 43 8 power power NOUN fumecheng-767 43 9 spectrum spectrum NOUN fumecheng-767 43 10 or or CCONJ fumecheng-767 43 11 autocorrelation autocorrelation NOUN fumecheng-767 43 12 function function NOUN fumecheng-767 43 13 ( ( PUNCT fumecheng-767 43 14 ) ) PUNCT fumecheng-767 43 15 c c PROPN fumecheng-767 43 16 q q NOUN fumecheng-767 43 17 of of ADP fumecheng-767 43 18 the the DET fumecheng-767 43 19 surface surface NOUN fumecheng-767 43 20 under under ADP fumecheng-767 43 21 consideration consideration NOUN fumecheng-767 43 22 . . PUNCT fumecheng-767 44 1 in in ADP fumecheng-767 44 2 a a DET fumecheng-767 44 3 one one NUM fumecheng-767 44 4 - - PUNCT fumecheng-767 44 5 dimensional dimensional ADJ fumecheng-767 44 6 substitute substitute NOUN fumecheng-767 44 7 model model NOUN fumecheng-767 44 8 these these DET fumecheng-767 44 9 moments moment NOUN fumecheng-767 44 10 of of ADP fumecheng-767 44 11 the the DET fumecheng-767 44 12 autocorrelation autocorrelation NOUN fumecheng-767 44 13 function function NOUN fumecheng-767 44 14 can can AUX fumecheng-767 44 15 be be AUX fumecheng-767 44 16 held hold VERB fumecheng-767 44 17 constant constant ADJ fumecheng-767 44 18 from from ADP fumecheng-767 44 19 an an DET fumecheng-767 44 20 original original ADJ fumecheng-767 44 21 two two NUM fumecheng-767 44 22 - - PUNCT fumecheng-767 44 23 dimensional dimensional ADJ fumecheng-767 44 24 model model NOUN fumecheng-767 44 25 2 2 NUM fumecheng-767 44 26 1 1 NUM fumecheng-767 44 27 1 1 NUM fumecheng-767 44 28 2 2 NUM fumecheng-767 44 29 2 2 NUM fumecheng-767 44 30 1 1 NUM fumecheng-767 44 31 1 1 NUM fumecheng-767 44 32 d d NOUN fumecheng-767 44 33     SPACE fumecheng-767 44 34 ( ( PUNCT fumecheng-767 44 35 ) ) PUNCT fumecheng-767 44 36 ( ( PUNCT fumecheng-767 44 37 ) ) PUNCT fumecheng-767 44 38 d d NOUN fumecheng-767 44 39         SPACE fumecheng-767 44 40 ( ( PUNCT fumecheng-767 44 41 ) ) PUNCT fumecheng-767 44 42 . . PUNCT fumecheng-767 45 1 d d PUNCT fumecheng-767 45 2 d d X fumecheng-767 45 3 d d X fumecheng-767 45 4 d d X fumecheng-767 45 5 h h NOUN fumecheng-767 45 6 qc qc PROPN fumecheng-767 45 7 q q PROPN fumecheng-767 45 8 h h NOUN fumecheng-767 46 1 q q X fumecheng-767 46 2 q q X fumecheng-767 46 3 c c NOUN fumecheng-767 46 4 q q NOUN fumecheng-767 46 5   VERB fumecheng-767 46 6   NOUN fumecheng-767 46 7   NOUN fumecheng-767 46 8   NOUN fumecheng-767 46 9   NUM fumecheng-767 46 10   PROPN fumecheng-767 46 11   NUM fumecheng-767 46 12   X fumecheng-767 46 13   VERB fumecheng-767 46 14   NOUN fumecheng-767 46 15   NUM fumecheng-767 46 16   NOUN fumecheng-767 46 17   PUNCT fumecheng-767 46 18 ( ( PUNCT fumecheng-767 46 19 1 1 X fumecheng-767 46 20 ) ) PUNCT fumecheng-767 46 21 fractal fractal ADJ fumecheng-767 46 22 surfaces surface NOUN fumecheng-767 46 23 are be AUX fumecheng-767 46 24 self self NOUN fumecheng-767 46 25 - - PUNCT fumecheng-767 46 26 affine affine NOUN fumecheng-767 46 27 surfaces surface NOUN fumecheng-767 46 28 . . PUNCT fumecheng-767 47 1 this this PRON fumecheng-767 47 2 means mean VERB fumecheng-767 47 3 that that SCONJ fumecheng-767 47 4 the the DET fumecheng-767 47 5 surface surface NOUN fumecheng-767 47 6 looks look VERB fumecheng-767 47 7 about about ADP fumecheng-767 47 8 the the DET fumecheng-767 47 9 same same ADJ fumecheng-767 47 10 as as SCONJ fumecheng-767 47 11 the the DET fumecheng-767 47 12 resolution resolution NOUN fumecheng-767 47 13 is be AUX fumecheng-767 47 14 increased increase VERB fumecheng-767 47 15 or or CCONJ fumecheng-767 47 16 decreased decrease VERB fumecheng-767 47 17 . . PUNCT fumecheng-767 48 1 there there PRON fumecheng-767 48 2 is be VERB fumecheng-767 48 3 no no DET fumecheng-767 48 4 natural natural ADJ fumecheng-767 48 5 length length NOUN fumecheng-767 48 6 scale scale NOUN fumecheng-767 48 7 to to PART fumecheng-767 48 8 be be AUX fumecheng-767 48 9 found find VERB fumecheng-767 48 10 in in ADP fumecheng-767 48 11 this this DET fumecheng-767 48 12 kind kind NOUN fumecheng-767 48 13 of of ADP fumecheng-767 48 14 surfaces surface NOUN fumecheng-767 48 15 . . PUNCT fumecheng-767 49 1 hurst hurst PROPN fumecheng-767 49 2 exponent exponent PROPN fumecheng-767 49 3 h h PROPN fumecheng-767 49 4 is be AUX fumecheng-767 49 5 another another DET fumecheng-767 49 6 quantity quantity NOUN fumecheng-767 49 7 to to PART fumecheng-767 49 8 characterize characterize VERB fumecheng-767 49 9 fractal fractal ADJ fumecheng-767 49 10 surfaces surface NOUN fumecheng-767 49 11 flash flash VERB fumecheng-767 49 12 temperatures temperature NOUN fumecheng-767 49 13 generated generate VERB fumecheng-767 49 14 by by ADP fumecheng-767 49 15 friction friction NOUN fumecheng-767 49 16 of of ADP fumecheng-767 49 17 a a DET fumecheng-767 49 18 viscoelastic viscoelastic ADJ fumecheng-767 49 19 body body NOUN fumecheng-767 49 20 49 49 NUM fumecheng-767 49 21 2 2 NUM fumecheng-767 49 22 , , PUNCT fumecheng-767 49 23 fd fd VERB fumecheng-767 49 24 h h ADJ fumecheng-767 49 25   X fumecheng-767 49 26 ( ( PUNCT fumecheng-767 49 27 2 2 NUM fumecheng-767 49 28 ) ) PUNCT fumecheng-767 49 29 where where SCONJ fumecheng-767 49 30 df df PROPN fumecheng-767 49 31 is be AUX fumecheng-767 49 32 the the DET fumecheng-767 49 33 fractal fractal ADJ fumecheng-767 49 34 dimension dimension NOUN fumecheng-767 49 35 of of ADP fumecheng-767 49 36 the the DET fumecheng-767 49 37 surface surface NOUN fumecheng-767 49 38 . . PUNCT fumecheng-767 50 1 under under ADP fumecheng-767 50 2 a a DET fumecheng-767 50 3 rescaling rescaling NOUN fumecheng-767 50 4 of of ADP fumecheng-767 50 5 spatial spatial ADJ fumecheng-767 50 6 coordinate coordinate NOUN fumecheng-767 50 7 x x X fumecheng-767 50 8   X fumecheng-767 50 9 x x PUNCT fumecheng-767 50 10 height height NOUN fumecheng-767 50 11 coordinate coordinate NOUN fumecheng-767 50 12 h h NOUN fumecheng-767 50 13 changes change NOUN fumecheng-767 50 14 to to PART fumecheng-767 50 15   VERB fumecheng-767 50 16 h h NOUN fumecheng-767 50 17 h. h. PROPN fumecheng-767 51 1 the the DET fumecheng-767 51 2 original original ADJ fumecheng-767 51 3 hurst hurst PROPN fumecheng-767 51 4 exponent exponent NOUN fumecheng-767 51 5 ranges range VERB fumecheng-767 51 6 from from ADP fumecheng-767 51 7 0 0 NUM fumecheng-767 51 8 to1 to1 PROPN fumecheng-767 51 9 . . PUNCT fumecheng-767 52 1 low low ADJ fumecheng-767 52 2 values value NOUN fumecheng-767 52 3 of of ADP fumecheng-767 52 4 the the DET fumecheng-767 52 5 hurst hurst PROPN fumecheng-767 52 6 exponent exponent PROPN fumecheng-767 52 7 correspond correspond VERB fumecheng-767 52 8 to to ADP fumecheng-767 52 9 high high ADJ fumecheng-767 52 10 volatility volatility NOUN fumecheng-767 52 11 : : PUNCT fumecheng-767 52 12 large large ADJ fumecheng-767 52 13 values value NOUN fumecheng-767 52 14 of of ADP fumecheng-767 52 15 the the DET fumecheng-767 52 16 quantity quantity NOUN fumecheng-767 52 17 under under ADP fumecheng-767 52 18 consideration consideration NOUN fumecheng-767 52 19 have have VERB fumecheng-767 52 20 a a DET fumecheng-767 52 21 high high ADJ fumecheng-767 52 22 probability probability NOUN fumecheng-767 52 23 to to PART fumecheng-767 52 24 be be AUX fumecheng-767 52 25 followed follow VERB fumecheng-767 52 26 by by ADP fumecheng-767 52 27 low low ADJ fumecheng-767 52 28 value value NOUN fumecheng-767 52 29 . . PUNCT fumecheng-767 53 1 this this PRON fumecheng-767 53 2 means mean VERB fumecheng-767 53 3 that that SCONJ fumecheng-767 53 4 a a DET fumecheng-767 53 5 surface surface NOUN fumecheng-767 53 6 with with ADP fumecheng-767 53 7 low low ADJ fumecheng-767 53 8 hurst hurst PROPN fumecheng-767 53 9 exponent exponent NOUN fumecheng-767 53 10 looks look VERB fumecheng-767 53 11 rather rather ADV fumecheng-767 53 12 rugged rugged ADJ fumecheng-767 53 13 . . PUNCT fumecheng-767 54 1 high high ADJ fumecheng-767 54 2 values value NOUN fumecheng-767 54 3 of of ADP fumecheng-767 54 4 the the DET fumecheng-767 54 5 exponent exponent ADJ fumecheng-767 54 6 point point NOUN fumecheng-767 54 7 towards towards ADP fumecheng-767 54 8 a a DET fumecheng-767 54 9 low low ADJ fumecheng-767 54 10 volatility volatility NOUN fumecheng-767 54 11 , , PUNCT fumecheng-767 54 12 i.e. i.e. X fumecheng-767 54 13 the the DET fumecheng-767 54 14 values value NOUN fumecheng-767 54 15 of of ADP fumecheng-767 54 16 the the DET fumecheng-767 54 17 physical physical ADJ fumecheng-767 54 18 quantity quantity NOUN fumecheng-767 54 19 have have VERB fumecheng-767 54 20 a a DET fumecheng-767 54 21 high high ADJ fumecheng-767 54 22 probability probability NOUN fumecheng-767 54 23 to to PART fumecheng-767 54 24 be be AUX fumecheng-767 54 25 followed follow VERB fumecheng-767 54 26 by by ADP fumecheng-767 54 27 another another DET fumecheng-767 54 28 similar similar ADJ fumecheng-767 54 29 value value NOUN fumecheng-767 54 30 . . PUNCT fumecheng-767 55 1 this this PRON fumecheng-767 55 2 corresponds correspond VERB fumecheng-767 55 3 to to ADP fumecheng-767 55 4 a a DET fumecheng-767 55 5 smooth smooth ADJ fumecheng-767 55 6 surface surface NOUN fumecheng-767 55 7 if if SCONJ fumecheng-767 55 8 height height NOUN fumecheng-767 55 9 coordinates coordinate NOUN fumecheng-767 55 10 are be AUX fumecheng-767 55 11 under under ADP fumecheng-767 55 12 investigation investigation NOUN fumecheng-767 55 13 . . PUNCT fumecheng-767 56 1 the the DET fumecheng-767 56 2 range range NOUN fumecheng-767 56 3 of of ADP fumecheng-767 56 4 the the DET fumecheng-767 56 5 hurst hurst PROPN fumecheng-767 56 6 exponent exponent NOUN fumecheng-767 56 7 can can AUX fumecheng-767 56 8 be be AUX fumecheng-767 56 9 further far ADV fumecheng-767 56 10 extended extend VERB fumecheng-767 56 11 . . PUNCT fumecheng-767 57 1 one one NUM fumecheng-767 57 2 - - PUNCT fumecheng-767 57 3 dimensional dimensional ADJ fumecheng-767 57 4 self self NOUN fumecheng-767 57 5 - - PUNCT fumecheng-767 57 6 affine affine NOUN fumecheng-767 57 7 isotropic isotropic NOUN fumecheng-767 57 8 surface surface NOUN fumecheng-767 57 9 h h NOUN fumecheng-767 57 10 is be AUX fumecheng-767 57 11 described describe VERB fumecheng-767 57 12 by by ADP fumecheng-767 57 13 a a DET fumecheng-767 57 14 power power NOUN fumecheng-767 57 15 spectrum spectrum NOUN fumecheng-767 57 16 2 2 NUM fumecheng-767 57 17 1 1 NUM fumecheng-767 57 18 3 3 NUM fumecheng-767 57 19 1 1 NUM fumecheng-767 57 20 0 0 NUM fumecheng-767 57 21 ˆ ˆ NOUN fumecheng-767 57 22 ( ( PUNCT fumecheng-767 57 23 ) ) PUNCT fumecheng-767 57 24 , , PUNCT fumecheng-767 57 25 h h NOUN fumecheng-767 58 1 d d NOUN fumecheng-767 58 2 f f X fumecheng-767 59 1 i i PRON fumecheng-767 59 2 f f PROPN fumecheng-767 60 1 f f X fumecheng-767 60 2 q q X fumecheng-767 60 3 c c NOUN fumecheng-767 60 4 q q NOUN fumecheng-767 60 5 c c X fumecheng-767 60 6 q q NOUN fumecheng-767 60 7 q q X fumecheng-767 60 8 q q X fumecheng-767 60 9 q q X fumecheng-767 60 10 q q X fumecheng-767 60 11   PROPN fumecheng-767 60 12   PROPN fumecheng-767 60 13   PROPN fumecheng-767 60 14   NOUN fumecheng-767 60 15   NOUN fumecheng-767 60 16   PROPN fumecheng-767 60 17   PROPN fumecheng-767 60 18   NUM fumecheng-767 60 19   PROPN fumecheng-767 61 1   PROPN fumecheng-767 61 2   PROPN fumecheng-767 62 1   PROPN fumecheng-767 62 2   NOUN fumecheng-767 62 3 ( ( PUNCT fumecheng-767 62 4 3 3 NUM fumecheng-767 62 5 ) ) PUNCT fumecheng-767 62 6 with with ADP fumecheng-767 62 7 dimensionless dimensionless NOUN fumecheng-767 62 8 strength strength NOUN fumecheng-767 62 9 0ĉ 0ĉ PUNCT fumecheng-767 62 10 and and CCONJ fumecheng-767 62 11 cut cut VERB fumecheng-767 62 12 - - PUNCT fumecheng-767 62 13 off off ADP fumecheng-767 62 14 wave wave NOUN fumecheng-767 62 15 vectors vector NOUN fumecheng-767 62 16 qi qi PROPN fumecheng-767 62 17 and and CCONJ fumecheng-767 62 18 qf qf PROPN fumecheng-767 62 19 . . PUNCT fumecheng-767 63 1 the the DET fumecheng-767 63 2 rms rm NOUN fumecheng-767 63 3 roughness roughness NOUN fumecheng-767 63 4 and and CCONJ fumecheng-767 63 5 the the DET fumecheng-767 63 6 rms rm NOUN fumecheng-767 63 7 slope slope NOUN fumecheng-767 63 8 of of ADP fumecheng-767 63 9 the the DET fumecheng-767 63 10 surface surface NOUN fumecheng-767 63 11 are be AUX fumecheng-767 63 12 computed compute VERB fumecheng-767 63 13 as as ADP fumecheng-767 63 14 22 22 NUM fumecheng-767 63 15 02 02 NUM fumecheng-767 63 16 2 2 NUM fumecheng-767 63 17 2 2 NUM fumecheng-767 63 18 2 2 NUM fumecheng-767 63 19 0 0 NUM fumecheng-767 63 20 ˆ ˆ NOUN fumecheng-767 63 21 1 1 NUM fumecheng-767 63 22 , , PUNCT fumecheng-767 63 23 ˆ ˆ PROPN fumecheng-767 63 24 ( ( PUNCT fumecheng-767 63 25 ) ) PUNCT fumecheng-767 63 26 1 1 NUM fumecheng-767 63 27 . . X fumecheng-767 63 28 1 1 NUM fumecheng-767 63 29 h h NOUN fumecheng-767 64 1 f f NOUN fumecheng-767 64 2 f f NOUN fumecheng-767 65 1 i i PRON fumecheng-767 65 2 h h VERB fumecheng-767 66 1 i i PRON fumecheng-767 66 2 f f NOUN fumecheng-767 67 1 c c NOUN fumecheng-767 67 2 q q X fumecheng-767 67 3 q q NOUN fumecheng-767 67 4 h h NOUN fumecheng-767 67 5 h h NOUN fumecheng-767 67 6 q q PROPN fumecheng-767 67 7 c c PROPN fumecheng-767 67 8 q q NOUN fumecheng-767 67 9 h h NOUN fumecheng-767 67 10 h h NOUN fumecheng-767 67 11 q q PROPN fumecheng-767 67 12   PROPN fumecheng-767 67 13   PROPN fumecheng-767 67 14   NOUN fumecheng-767 67 15   PROPN fumecheng-767 68 1   PROPN fumecheng-767 68 2   PROPN fumecheng-767 68 3   PROPN fumecheng-767 69 1   PROPN fumecheng-767 69 2   NUM fumecheng-767 69 3   PROPN fumecheng-767 69 4   PROPN fumecheng-767 69 5   PROPN fumecheng-767 69 6   VERB fumecheng-767 69 7   NOUN fumecheng-767 69 8   NOUN fumecheng-767 69 9   NOUN fumecheng-767 69 10   PROPN fumecheng-767 69 11   PROPN fumecheng-767 69 12   PROPN fumecheng-767 69 13   PROPN fumecheng-767 69 14   ADP fumecheng-767 69 15   PROPN fumecheng-767 69 16   NUM fumecheng-767 69 17   PROPN fumecheng-767 69 18   PROPN fumecheng-767 69 19   PROPN fumecheng-767 70 1   PROPN fumecheng-767 70 2   NOUN fumecheng-767 70 3   NOUN fumecheng-767 71 1   PROPN fumecheng-767 71 2   NOUN fumecheng-767 71 3   NOUN fumecheng-767 71 4 ( ( PUNCT fumecheng-767 71 5 4 4 X fumecheng-767 71 6 ) ) PUNCT fumecheng-767 71 7 eliminating eliminate VERB fumecheng-767 71 8 strength strength NOUN fumecheng-767 71 9 0ĉ 0ĉ PUNCT fumecheng-767 71 10 , , PUNCT fumecheng-767 71 11 the the DET fumecheng-767 71 12 gradient gradient NOUN fumecheng-767 71 13 of of ADP fumecheng-767 71 14 the the DET fumecheng-767 71 15 surface surface NOUN fumecheng-767 71 16 is be AUX fumecheng-767 71 17 given give VERB fumecheng-767 71 18 by by ADP fumecheng-767 71 19 2 2 NUM fumecheng-767 71 20 2 2 NUM fumecheng-767 71 21 2 2 NUM fumecheng-767 71 22 2 2 NUM fumecheng-767 71 23 2 2 NUM fumecheng-767 71 24 2 2 NUM fumecheng-767 71 25 1 1 NUM fumecheng-767 71 26 ( ( PUNCT fumecheng-767 71 27 ) ) PUNCT fumecheng-767 71 28 . . PUNCT fumecheng-767 72 1 1 1 NUM fumecheng-767 72 2 1 1 NUM fumecheng-767 72 3 h h NOUN fumecheng-767 73 1 i i PRON fumecheng-767 73 2 f f NOUN fumecheng-767 74 1 f f NOUN fumecheng-767 74 2 h h NOUN fumecheng-767 75 1 f f NOUN fumecheng-767 76 1 i i PRON fumecheng-767 76 2 q q PROPN fumecheng-767 76 3 qh qh NOUN fumecheng-767 76 4 h h NOUN fumecheng-767 76 5 q q PROPN fumecheng-767 76 6 h h NOUN fumecheng-767 77 1 h h NOUN fumecheng-767 77 2 q q NOUN fumecheng-767 77 3 q q X fumecheng-767 77 4   PROPN fumecheng-767 77 5   NOUN fumecheng-767 77 6   NOUN fumecheng-767 77 7   PROPN fumecheng-767 77 8   PROPN fumecheng-767 77 9   NOUN fumecheng-767 78 1   PROPN fumecheng-767 79 1   ADJ fumecheng-767 79 2   NOUN fumecheng-767 79 3   X fumecheng-767 79 4   NOUN fumecheng-767 79 5   ADJ fumecheng-767 79 6   NUM fumecheng-767 79 7   PROPN fumecheng-767 79 8   NOUN fumecheng-767 79 9   PROPN fumecheng-767 80 1   PROPN fumecheng-767 80 2   PROPN fumecheng-767 81 1   PROPN fumecheng-767 81 2   NOUN fumecheng-767 81 3 ( ( PUNCT fumecheng-767 81 4 5 5 NUM fumecheng-767 81 5 ) ) PUNCT fumecheng-767 81 6 dropping drop VERB fumecheng-767 81 7 the the DET fumecheng-767 81 8 requirement requirement NOUN fumecheng-767 81 9 of of ADP fumecheng-767 81 10 the the DET fumecheng-767 81 11 hurst hurst PROPN fumecheng-767 81 12 exponent exponent PROPN fumecheng-767 81 13 being be AUX fumecheng-767 81 14 in in ADP fumecheng-767 81 15 the the DET fumecheng-767 81 16 range range NOUN fumecheng-767 81 17 [ [ X fumecheng-767 81 18 0,1 0,1 NUM fumecheng-767 81 19 ] ] PUNCT fumecheng-767 81 20 we we PRON fumecheng-767 81 21 can can AUX fumecheng-767 81 22 identify identify VERB fumecheng-767 81 23 three three NUM fumecheng-767 81 24 different different ADJ fumecheng-767 81 25 behaviors behavior NOUN fumecheng-767 81 26 of of ADP fumecheng-767 81 27 the the DET fumecheng-767 81 28 slope slope NOUN fumecheng-767 81 29 . . PUNCT fumecheng-767 82 1 keeping keep VERB fumecheng-767 82 2 in in ADP fumecheng-767 82 3 mind mind PROPN fumecheng-767 82 4 qf qf PROPN fumecheng-767 82 5 / / SYM fumecheng-767 82 6 qi qi PROPN fumecheng-767 82 7 > > X fumecheng-767 82 8 > > X fumecheng-767 82 9 1 1 NUM fumecheng-767 82 10 2 2 NUM fumecheng-767 82 11 2 2 NUM fumecheng-767 82 12 2 2 NUM fumecheng-767 82 13 2 2 NUM fumecheng-767 82 14 2 2 NUM fumecheng-767 82 15 2 2 NUM fumecheng-767 82 16 2 2 NUM fumecheng-767 82 17 2 2 NUM fumecheng-767 82 18 2 2 NUM fumecheng-767 82 19 2 2 NUM fumecheng-767 82 20 ( ( PUNCT fumecheng-767 82 21 ) ) PUNCT fumecheng-767 82 22 , , PUNCT fumecheng-767 82 23 0 0 NUM fumecheng-767 82 24 1 1 NUM fumecheng-767 82 25 ( ( PUNCT fumecheng-767 82 26 ) ) PUNCT fumecheng-767 82 27 , , PUNCT fumecheng-767 82 28 0 0 NUM fumecheng-767 82 29 1 1 NUM fumecheng-767 82 30 1 1 NUM fumecheng-767 82 31 ( ( PUNCT fumecheng-767 82 32 ) ) PUNCT fumecheng-767 82 33 , , PUNCT fumecheng-767 82 34 1 1 X fumecheng-767 82 35 . . SYM fumecheng-767 82 36 1 1 NUM fumecheng-767 83 1 f f NOUN fumecheng-767 83 2 h h NOUN fumecheng-767 84 1 i i PRON fumecheng-767 84 2 f f PROPN fumecheng-767 85 1 f f NOUN fumecheng-767 86 1 i i PRON fumecheng-767 86 2 h h VERB fumecheng-767 86 3 h h NOUN fumecheng-767 87 1 q q NOUN fumecheng-767 87 2 h h NOUN fumecheng-767 88 1 h h NOUN fumecheng-767 88 2 h h PROPN fumecheng-767 88 3 qh qh PROPN fumecheng-767 88 4 h h NOUN fumecheng-767 88 5 q q PROPN fumecheng-767 88 6 h h NOUN fumecheng-767 89 1 h h NOUN fumecheng-767 89 2 h h NOUN fumecheng-767 90 1 q q NOUN fumecheng-767 90 2 h h NOUN fumecheng-767 91 1 h h NOUN fumecheng-767 91 2 q q PROPN fumecheng-767 92 1 h h NOUN fumecheng-767 92 2 h h NOUN fumecheng-767 92 3 h h PROPN fumecheng-767 92 4   VERB fumecheng-767 92 5   X fumecheng-767 92 6   NOUN fumecheng-767 92 7   NOUN fumecheng-767 92 8   NUM fumecheng-767 92 9   PROPN fumecheng-767 92 10   VERB fumecheng-767 92 11   NOUN fumecheng-767 92 12   NOUN fumecheng-767 92 13   X fumecheng-767 92 14   NOUN fumecheng-767 92 15   NOUN fumecheng-767 92 16   NUM fumecheng-767 92 17   PROPN fumecheng-767 92 18   PUNCT fumecheng-767 92 19   PROPN fumecheng-767 92 20   PROPN fumecheng-767 92 21   NOUN fumecheng-767 92 22   PROPN fumecheng-767 92 23   NOUN fumecheng-767 92 24   VERB fumecheng-767 92 25   PRON fumecheng-767 92 26   NOUN fumecheng-767 92 27   NOUN fumecheng-767 92 28   NUM fumecheng-767 92 29   ADJ fumecheng-767 92 30   NOUN fumecheng-767 92 31 ( ( PUNCT fumecheng-767 92 32 6 6 NUM fumecheng-767 92 33 ) ) PUNCT fumecheng-767 92 34 50 50 NUM fumecheng-767 92 35 r. r. PROPN fumecheng-767 92 36 heise heise PROPN fumecheng-767 92 37 for for ADP fumecheng-767 92 38 negative negative ADJ fumecheng-767 92 39 values value NOUN fumecheng-767 92 40 of of ADP fumecheng-767 92 41 h h NOUN fumecheng-767 92 42 , , PUNCT fumecheng-767 92 43 the the DET fumecheng-767 92 44 short short ADJ fumecheng-767 92 45 wavelengths wavelength NOUN fumecheng-767 92 46 dominate dominate VERB fumecheng-767 92 47 the the DET fumecheng-767 92 48 slope slope NOUN fumecheng-767 92 49 . . PUNCT fumecheng-767 93 1 for for ADP fumecheng-767 93 2 values value NOUN fumecheng-767 93 3 of of ADP fumecheng-767 93 4 h h NOUN fumecheng-767 93 5 in in ADP fumecheng-767 93 6 the the DET fumecheng-767 93 7 physically physically ADV fumecheng-767 93 8 most most ADV fumecheng-767 93 9 interesting interesting ADJ fumecheng-767 93 10 range range NOUN fumecheng-767 93 11 , , PUNCT fumecheng-767 93 12 the the DET fumecheng-767 93 13 slope slope NOUN fumecheng-767 93 14 is be AUX fumecheng-767 93 15 interpolating interpolate VERB fumecheng-767 93 16 between between ADP fumecheng-767 93 17 the the DET fumecheng-767 93 18 values value NOUN fumecheng-767 93 19 for for ADP fumecheng-767 93 20 long long ADJ fumecheng-767 93 21 respectively respectively ADV fumecheng-767 93 22 short short ADJ fumecheng-767 93 23 wave wave NOUN fumecheng-767 93 24 vectors vector NOUN fumecheng-767 93 25 . . PUNCT fumecheng-767 94 1 finally finally ADV fumecheng-767 94 2 , , PUNCT fumecheng-767 94 3 for for ADP fumecheng-767 94 4 high high ADJ fumecheng-767 94 5 values value NOUN fumecheng-767 94 6 of of ADP fumecheng-767 94 7 the the DET fumecheng-767 94 8 hurst hurst PROPN fumecheng-767 94 9 exponent exponent NOUN fumecheng-767 94 10 the the DET fumecheng-767 94 11 shortest short ADJ fumecheng-767 94 12 wave wave NOUN fumecheng-767 94 13 number number NOUN fumecheng-767 94 14 , , PUNCT fumecheng-767 94 15 i.e. i.e. X fumecheng-767 94 16 the the DET fumecheng-767 94 17 longest long ADJ fumecheng-767 94 18 wavelength wavelength NOUN fumecheng-767 94 19 , , PUNCT fumecheng-767 94 20 dominates dominate VERB fumecheng-767 94 21 . . PUNCT fumecheng-767 95 1 for for ADP fumecheng-767 95 2 the the DET fumecheng-767 95 3 generation generation NOUN fumecheng-767 95 4 of of ADP fumecheng-767 95 5 a a DET fumecheng-767 95 6 randomly randomly ADV fumecheng-767 95 7 rough rough ADJ fumecheng-767 95 8 surface surface NOUN fumecheng-767 95 9 with with ADP fumecheng-767 95 10 the the DET fumecheng-767 95 11 desired desire VERB fumecheng-767 95 12 properties property NOUN fumecheng-767 95 13 , , PUNCT fumecheng-767 95 14 we we PRON fumecheng-767 95 15 fall fall VERB fumecheng-767 95 16 back back ADV fumecheng-767 95 17 on on ADP fumecheng-767 95 18 the the DET fumecheng-767 95 19 fourier fourier NOUN fumecheng-767 95 20 transform transform NOUN fumecheng-767 95 21 1 1 NUM fumecheng-767 95 22 1 1 NUM fumecheng-767 95 23 1 1 NUM fumecheng-767 95 24 d d NOUN fumecheng-767 95 25     SPACE fumecheng-767 95 26 ( ( PUNCT fumecheng-767 95 27 ) ) PUNCT fumecheng-767 95 28 exp exp NOUN fumecheng-767 95 29 [ [ PUNCT fumecheng-767 95 30 ( ( PUNCT fumecheng-767 95 31 ) ) PUNCT fumecheng-767 95 32 ] ] X fumecheng-767 95 33 . . PUNCT fumecheng-767 96 1 2 2 NUM fumecheng-767 96 2 d d X fumecheng-767 96 3 dh dh NOUN fumecheng-767 96 4 q q PROPN fumecheng-767 96 5 b b PROPN fumecheng-767 96 6 q q X fumecheng-767 97 1 i i PRON fumecheng-767 97 2 x x PROPN fumecheng-767 98 1   ADJ fumecheng-767 98 2   NOUN fumecheng-767 98 3   VERB fumecheng-767 98 4   NUM fumecheng-767 98 5   X fumecheng-767 98 6 ( ( PUNCT fumecheng-767 98 7 7 7 X fumecheng-767 98 8 ) ) PUNCT fumecheng-767 98 9 the the DET fumecheng-767 98 10 one one NUM fumecheng-767 98 11 - - PUNCT fumecheng-767 98 12 dimensional dimensional ADJ fumecheng-767 98 13 fourier fourier NOUN fumecheng-767 98 14 coefficients coefficient NOUN fumecheng-767 98 15 of of ADP fumecheng-767 98 16 the the DET fumecheng-767 98 17 surface surface NOUN fumecheng-767 98 18 are be AUX fumecheng-767 98 19 proportional proportional ADJ fumecheng-767 98 20 to to ADP fumecheng-767 98 21 the the DET fumecheng-767 98 22 square square ADJ fumecheng-767 98 23 root root NOUN fumecheng-767 98 24 of of ADP fumecheng-767 98 25 the the DET fumecheng-767 98 26 power power NOUN fumecheng-767 98 27 spectrum spectrum NOUN fumecheng-767 98 28 1 1 NUM fumecheng-767 98 29 1 1 NUM fumecheng-767 98 30 2 2 NUM fumecheng-767 98 31 .d .d NOUN fumecheng-767 98 32 db db ADP fumecheng-767 98 33 c c NOUN fumecheng-767 98 34 l l NOUN fumecheng-767 98 35   PROPN fumecheng-767 99 1   PROPN fumecheng-767 99 2 ( ( PUNCT fumecheng-767 99 3 8) 8) NUM fumecheng-767 99 4 this this DET fumecheng-767 99 5 choice choice NOUN fumecheng-767 99 6 ensures ensure VERB fumecheng-767 99 7 that that SCONJ fumecheng-767 99 8 the the DET fumecheng-767 99 9 requirements requirement NOUN fumecheng-767 99 10 on on ADP fumecheng-767 99 11 the the DET fumecheng-767 99 12 roughness roughness NOUN fumecheng-767 99 13 and and CCONJ fumecheng-767 99 14 slope slope NOUN fumecheng-767 99 15 are be AUX fumecheng-767 99 16 satisfied satisfied ADJ fumecheng-767 99 17 . . PUNCT fumecheng-767 100 1 note note VERB fumecheng-767 100 2 that that SCONJ fumecheng-767 100 3 b1d b1d NOUN fumecheng-767 100 4 has have VERB fumecheng-767 100 5 to to PART fumecheng-767 100 6 be be AUX fumecheng-767 100 7 symmetric symmetric ADJ fumecheng-767 100 8 about about ADP fumecheng-767 100 9 qf qf NOUN fumecheng-767 100 10 in in ADP fumecheng-767 100 11 order order NOUN fumecheng-767 100 12 to to PART fumecheng-767 100 13 get get VERB fumecheng-767 100 14 a a DET fumecheng-767 100 15 real real ADJ fumecheng-767 100 16 surface surface NOUN fumecheng-767 100 17 . . PUNCT fumecheng-767 101 1 the the DET fumecheng-767 101 2 randomness randomness NOUN fumecheng-767 101 3 of of ADP fumecheng-767 101 4 the the DET fumecheng-767 101 5 different different ADJ fumecheng-767 101 6 realizations realization NOUN fumecheng-767 101 7 of of ADP fumecheng-767 101 8 the the DET fumecheng-767 101 9 surface surface NOUN fumecheng-767 101 10 is be AUX fumecheng-767 101 11 assured assure VERB fumecheng-767 101 12 by by ADP fumecheng-767 101 13 uniformly uniformly ADV fumecheng-767 101 14 distributed distribute VERB fumecheng-767 101 15 random random ADJ fumecheng-767 101 16 phase phase NOUN fumecheng-767 101 17 . . PUNCT fumecheng-767 101 18 here here ADV fumecheng-767 101 19 , , PUNCT fumecheng-767 101 20 phase phase NOUN fumecheng-767 101 21   NOUN fumecheng-767 101 22 has have VERB fumecheng-767 101 23 to to PART fumecheng-767 101 24 be be AUX fumecheng-767 101 25 antisymmetric antisymmetric ADJ fumecheng-767 101 26 about about ADP fumecheng-767 101 27 qf qf PROPN fumecheng-767 101 28 to to PART fumecheng-767 101 29 fulfill fulfill VERB fumecheng-767 101 30 the the DET fumecheng-767 101 31 reality reality NOUN fumecheng-767 101 32 condition condition NOUN fumecheng-767 101 33 . . PUNCT fumecheng-767 102 1 for for ADP fumecheng-767 102 2 a a DET fumecheng-767 102 3 discrete discrete ADJ fumecheng-767 102 4 realization realization NOUN fumecheng-767 102 5 , , PUNCT fumecheng-767 102 6 the the DET fumecheng-767 102 7 maximal maximal ADJ fumecheng-767 102 8 and and CCONJ fumecheng-767 102 9 minimal minimal ADJ fumecheng-767 102 10 wave wave NOUN fumecheng-767 102 11 vectors vector NOUN fumecheng-767 102 12 depend depend VERB fumecheng-767 102 13 on on ADP fumecheng-767 102 14 spatial spatial ADJ fumecheng-767 102 15 step step NOUN fumecheng-767 102 16 dx dx PROPN fumecheng-767 102 17 and and CCONJ fumecheng-767 102 18 system system NOUN fumecheng-767 102 19 length length NOUN fumecheng-767 102 20 l l PROPN fumecheng-767 102 21 / / PUNCT fumecheng-767 102 22 / / SYM fumecheng-767 102 23 , , PUNCT fumecheng-767 102 24 2 2 NUM fumecheng-767 102 25 .f .f NOUN fumecheng-767 103 1 iq iq PROPN fumecheng-767 103 2 dx dx PROPN fumecheng-767 103 3 q q PROPN fumecheng-767 103 4 l l PROPN fumecheng-767 103 5   VERB fumecheng-767 103 6   NOUN fumecheng-767 104 1 ( ( PUNCT fumecheng-767 104 2 9 9 NUM fumecheng-767 104 3 ) ) PUNCT fumecheng-767 104 4 the the DET fumecheng-767 104 5 one one NUM fumecheng-767 104 6 - - PUNCT fumecheng-767 104 7 dimensional dimensional ADJ fumecheng-767 104 8 surface surface NOUN fumecheng-767 104 9 is be AUX fumecheng-767 104 10 generated generate VERB fumecheng-767 104 11 as as ADP fumecheng-767 104 12 the the DET fumecheng-767 104 13 inverse inverse NOUN fumecheng-767 104 14 discrete discrete NOUN fumecheng-767 104 15 fourier fourier NOUN fumecheng-767 104 16 transform transform NOUN fumecheng-767 104 17 ( ( PUNCT fumecheng-767 104 18 dft dft NOUN fumecheng-767 104 19 ) ) PUNCT fumecheng-767 104 20 . . PUNCT fumecheng-767 105 1 as as ADP fumecheng-767 105 2 an an DET fumecheng-767 105 3 example example NOUN fumecheng-767 105 4 , , PUNCT fumecheng-767 105 5 the the DET fumecheng-767 105 6 dft dft NOUN fumecheng-767 105 7 of of ADP fumecheng-767 105 8 one one NUM fumecheng-767 105 9 - - PUNCT fumecheng-767 105 10 dimensional dimensional ADJ fumecheng-767 105 11 height height NOUN fumecheng-767 105 12 coordinate coordinate NOUN fumecheng-767 105 13 h h NOUN fumecheng-767 105 14 is be AUX fumecheng-767 105 15 expressed express VERB fumecheng-767 105 16 as as ADP fumecheng-767 105 17 1 1 NUM fumecheng-767 105 18 1 1 NUM fumecheng-767 105 19 1 1 NUM fumecheng-767 105 20 2 2 NUM fumecheng-767 105 21 ( ( PUNCT fumecheng-767 105 22 ) ) PUNCT fumecheng-767 105 23 exp exp NOUN fumecheng-767 105 24 ( ( PUNCT fumecheng-767 105 25 1 1 NUM fumecheng-767 105 26 ) ) PUNCT fumecheng-767 105 27 ( ( PUNCT fumecheng-767 105 28 ( ( PUNCT fumecheng-767 105 29 ) ) PUNCT fumecheng-767 105 30 1 1 NUM fumecheng-767 105 31 ) ) PUNCT fumecheng-767 105 32 . . PUNCT fumecheng-767 106 1 n n PROPN fumecheng-767 107 1 d d NOUN fumecheng-767 107 2 d d X fumecheng-767 107 3 k k NOUN fumecheng-767 108 1 i i PRON fumecheng-767 108 2 h h VERB fumecheng-767 109 1 j j PROPN fumecheng-767 109 2 b b X fumecheng-767 109 3 kk kk PROPN fumecheng-767 109 4 j j PROPN fumecheng-767 109 5 n n CCONJ fumecheng-767 109 6   PROPN fumecheng-767 109 7   PROPN fumecheng-767 109 8   PROPN fumecheng-767 109 9   ADJ fumecheng-767 109 10   PROPN fumecheng-767 109 11   PROPN fumecheng-767 109 12   PROPN fumecheng-767 109 13   PROPN fumecheng-767 109 14   NOUN fumecheng-767 109 15   PROPN fumecheng-767 109 16   X fumecheng-767 109 17 ( ( PUNCT fumecheng-767 109 18 10 10 NUM fumecheng-767 109 19 ) ) PUNCT fumecheng-767 109 20 in in ADP fumecheng-767 109 21 order order NOUN fumecheng-767 109 22 to to PART fumecheng-767 109 23 get get VERB fumecheng-767 109 24 a a DET fumecheng-767 109 25 real real ADJ fumecheng-767 109 26 surface surface NOUN fumecheng-767 109 27 , , PUNCT fumecheng-767 109 28 the the DET fumecheng-767 109 29 symmetry symmetry NOUN fumecheng-767 109 30 conditions condition NOUN fumecheng-767 109 31 for for ADP fumecheng-767 109 32 a a DET fumecheng-767 109 33 discrete discrete ADJ fumecheng-767 109 34 realization realization NOUN fumecheng-767 109 35 translate translate NOUN fumecheng-767 109 36 into into ADP fumecheng-767 109 37 1 1 NUM fumecheng-767 109 38 1 1 NUM fumecheng-767 109 39 1 1 NUM fumecheng-767 109 40 1 1 NUM fumecheng-767 109 41 ( ( PUNCT fumecheng-767 109 42 ) ) PUNCT fumecheng-767 109 43 ( ( PUNCT fumecheng-767 109 44 1 1 X fumecheng-767 109 45 ) ) PUNCT fumecheng-767 109 46 ( ( PUNCT fumecheng-767 109 47 ) ) PUNCT fumecheng-767 109 48 ( ( PUNCT fumecheng-767 109 49 1 1 NUM fumecheng-767 109 50 ) ) PUNCT fumecheng-767 109 51 , , PUNCT fumecheng-767 109 52 1 1 NUM fumecheng-767 109 53 , , PUNCT fumecheng-767 109 54 , , PUNCT fumecheng-767 109 55 / / SYM fumecheng-767 109 56 2 2 X fumecheng-767 109 57 . . PUNCT fumecheng-767 110 1 d d PUNCT fumecheng-767 110 2 d d PROPN fumecheng-767 110 3 d d PROPN fumecheng-767 110 4 d d PROPN fumecheng-767 110 5 b b PROPN fumecheng-767 110 6 k k PROPN fumecheng-767 110 7 b b PROPN fumecheng-767 110 8 n n CCONJ fumecheng-767 110 9 k k PROPN fumecheng-767 110 10 j j PROPN fumecheng-767 110 11 n n CCONJ fumecheng-767 110 12 k k PROPN fumecheng-767 110 13 k k PROPN fumecheng-767 111 1 n n CCONJ fumecheng-767 111 2   PROPN fumecheng-767 111 3   PROPN fumecheng-767 111 4   CCONJ fumecheng-767 111 5   NOUN fumecheng-767 111 6   PROPN fumecheng-767 111 7   PROPN fumecheng-767 111 8   NOUN fumecheng-767 111 9   VERB fumecheng-767 111 10   PROPN fumecheng-767 111 11   NOUN fumecheng-767 111 12 ( ( PUNCT fumecheng-767 111 13 11 11 NUM fumecheng-767 111 14 ) ) PUNCT fumecheng-767 111 15 we we PRON fumecheng-767 111 16 stress stress VERB fumecheng-767 111 17 that that SCONJ fumecheng-767 111 18 there there PRON fumecheng-767 111 19 is be VERB fumecheng-767 111 20 a a DET fumecheng-767 111 21 periodicity periodicity NOUN fumecheng-767 111 22 of of ADP fumecheng-767 111 23 l l NOUN fumecheng-767 111 24 = = PUNCT fumecheng-767 111 25 ndx ndx NOUN fumecheng-767 111 26 due due ADJ fumecheng-767 111 27 to to ADP fumecheng-767 111 28 periodicity periodicity NOUN fumecheng-767 111 29 feature feature NOUN fumecheng-767 111 30 of of ADP fumecheng-767 111 31 the the DET fumecheng-767 111 32 dft dft PROPN fumecheng-767 111 33 . . PROPN fumecheng-767 111 34 2 2 NUM fumecheng-767 111 35 . . X fumecheng-767 111 36 modeling modeling NOUN fumecheng-767 111 37 after after ADP fumecheng-767 111 38 having having AUX fumecheng-767 111 39 described describe VERB fumecheng-767 111 40 the the DET fumecheng-767 111 41 generation generation NOUN fumecheng-767 111 42 of of ADP fumecheng-767 111 43 the the DET fumecheng-767 111 44 one one NUM fumecheng-767 111 45 - - PUNCT fumecheng-767 111 46 dimensional dimensional ADJ fumecheng-767 111 47 substitute substitute NOUN fumecheng-767 111 48 surface surface NOUN fumecheng-767 111 49 we we PRON fumecheng-767 111 50 now now ADV fumecheng-767 111 51 turn turn VERB fumecheng-767 111 52 to to ADP fumecheng-767 111 53 the the DET fumecheng-767 111 54 modeling modeling NOUN fumecheng-767 111 55 of of ADP fumecheng-767 111 56 the the DET fumecheng-767 111 57 contact contact NOUN fumecheng-767 111 58 itself itself PRON fumecheng-767 111 59 . . PUNCT fumecheng-767 112 1 in in ADP fumecheng-767 112 2 the the DET fumecheng-767 112 3 considered considered ADJ fumecheng-767 112 4 model model NOUN fumecheng-767 112 5 , , PUNCT fumecheng-767 112 6 two two NUM fumecheng-767 112 7 one one NUM fumecheng-767 112 8 - - PUNCT fumecheng-767 112 9 dimensional dimensional ADJ fumecheng-767 112 10 substitute substitute NOUN fumecheng-767 112 11 surfaces surface NOUN fumecheng-767 112 12 z z NOUN fumecheng-767 112 13 and and CCONJ fumecheng-767 112 14 u u NOUN fumecheng-767 112 15 are be AUX fumecheng-767 112 16 moved move VERB fumecheng-767 112 17 relative relative ADJ fumecheng-767 112 18 to to ADP fumecheng-767 112 19 each each DET fumecheng-767 112 20 other other ADJ fumecheng-767 112 21 with with ADP fumecheng-767 112 22 constant constant ADJ fumecheng-767 112 23 velocity velocity NOUN fumecheng-767 112 24 v0 v0 NOUN fumecheng-767 112 25 . . PUNCT fumecheng-767 113 1 the the DET fumecheng-767 113 2 surfaces surface NOUN fumecheng-767 113 3 are be AUX fumecheng-767 113 4 discretized discretize VERB fumecheng-767 113 5 and and CCONJ fumecheng-767 113 6 the the DET fumecheng-767 113 7 individual individual ADJ fumecheng-767 113 8 sites site NOUN fumecheng-767 113 9 are be AUX fumecheng-767 113 10 labeled label VERB fumecheng-767 113 11 by by ADP fumecheng-767 113 12 i i X fumecheng-767 113 13 = = NOUN fumecheng-767 113 14 1, 1, NUM fumecheng-767 113 15 … … PUNCT fumecheng-767 113 16 ,n ,n NOUN fumecheng-767 113 17 . . PUNCT fumecheng-767 114 1 in in ADP fumecheng-767 114 2 every every DET fumecheng-767 114 3 site site NOUN fumecheng-767 114 4 i i PRON fumecheng-767 114 5 there there PRON fumecheng-767 114 6 exists exist VERB fumecheng-767 114 7 a a DET fumecheng-767 114 8 spring spring NOUN fumecheng-767 114 9 damper damper NOUN fumecheng-767 114 10 combination combination NOUN fumecheng-767 114 11 . . PUNCT fumecheng-767 115 1 this this DET fumecheng-767 115 2 combination combination NOUN fumecheng-767 115 3 is be AUX fumecheng-767 115 4 a a DET fumecheng-767 115 5 kelvin kelvin PROPN fumecheng-767 115 6 body body NOUN fumecheng-767 115 7 as as SCONJ fumecheng-767 115 8 shown show VERB fumecheng-767 115 9 in in ADP fumecheng-767 115 10 fig fig NOUN fumecheng-767 115 11 . . PUNCT fumecheng-767 116 1 1 1 X fumecheng-767 116 2 . . X fumecheng-767 116 3 flash flash NOUN fumecheng-767 116 4 temperatures temperature NOUN fumecheng-767 116 5 generated generate VERB fumecheng-767 116 6 by by ADP fumecheng-767 116 7 friction friction NOUN fumecheng-767 116 8 of of ADP fumecheng-767 116 9 a a DET fumecheng-767 116 10 viscoelastic viscoelastic ADJ fumecheng-767 116 11 body body NOUN fumecheng-767 116 12 51 51 NUM fumecheng-767 116 13 fig fig NOUN fumecheng-767 116 14 . . PUNCT fumecheng-767 117 1 1 1 NUM fumecheng-767 117 2 kelvin kelvin PROPN fumecheng-767 117 3 element element NOUN fumecheng-767 117 4 : : PUNCT fumecheng-767 117 5 spring spring NOUN fumecheng-767 117 6 with with ADP fumecheng-767 117 7 stiffness stiffness NOUN fumecheng-767 117 8 k k NOUN fumecheng-767 117 9 = = SYM fumecheng-767 117 10 2dxg/(1 2dxg/(1 NUM fumecheng-767 117 11   NOUN fumecheng-767 117 12   PROPN fumecheng-767 117 13 in in ADP fumecheng-767 117 14 parallel parallel NOUN fumecheng-767 117 15 with with ADP fumecheng-767 117 16 a a DET fumecheng-767 117 17 damper damper NOUN fumecheng-767 117 18 dx dx PUNCT fumecheng-767 118 1 it it PRON fumecheng-767 118 2 consists consist VERB fumecheng-767 118 3 of of ADP fumecheng-767 118 4 a a DET fumecheng-767 118 5 spring spring NOUN fumecheng-767 118 6 with with ADP fumecheng-767 118 7 stiffness stiffness NOUN fumecheng-767 118 8 k k NOUN fumecheng-767 118 9 = = SYM fumecheng-767 118 10 2 2 NUM fumecheng-767 118 11 dx dx NOUN fumecheng-767 118 12 g/(1 g/(1 NOUN fumecheng-767 118 13   VERB fumecheng-767 118 14   PROPN fumecheng-767 118 15 , , PUNCT fumecheng-767 118 16 which which PRON fumecheng-767 118 17 is be AUX fumecheng-767 118 18 coupled couple VERB fumecheng-767 118 19 in in ADP fumecheng-767 118 20 parallel parallel NOUN fumecheng-767 118 21 with with ADP fumecheng-767 118 22 a a DET fumecheng-767 118 23 damper damper NOUN fumecheng-767 118 24 with with ADP fumecheng-767 118 25 damping damp VERB fumecheng-767 118 26 constantdx constantdx NUM fumecheng-767 118 27 . . PROPN fumecheng-767 118 28 the the DET fumecheng-767 118 29 material material NOUN fumecheng-767 118 30 of of ADP fumecheng-767 118 31 the the DET fumecheng-767 118 32 original original ADJ fumecheng-767 118 33 polymer polymer NOUN fumecheng-767 118 34 is be AUX fumecheng-767 118 35 described describe VERB fumecheng-767 118 36 by by ADP fumecheng-767 118 37 elastic elastic ADJ fumecheng-767 118 38 modulus modulus NOUN fumecheng-767 118 39 g g NOUN fumecheng-767 118 40 and and CCONJ fumecheng-767 118 41 viscosity viscosity NOUN fumecheng-767 118 42 . . INTJ fumecheng-767 118 43 in in ADP fumecheng-767 118 44 the the DET fumecheng-767 118 45 one one NUM fumecheng-767 118 46 - - PUNCT fumecheng-767 118 47 dimensional dimensional ADJ fumecheng-767 118 48 model model NOUN fumecheng-767 118 49 there there PRON fumecheng-767 118 50 exists exist VERB fumecheng-767 118 51 no no DET fumecheng-767 118 52 interaction interaction NOUN fumecheng-767 118 53 between between ADP fumecheng-767 118 54 neighboring neighboring NOUN fumecheng-767 118 55 sites site NOUN fumecheng-767 118 56 . . PUNCT fumecheng-767 119 1 applied apply VERB fumecheng-767 119 2 external external ADJ fumecheng-767 119 3 normal normal ADJ fumecheng-767 119 4 force force NOUN fumecheng-767 119 5 fn fn NOUN fumecheng-767 119 6 is be AUX fumecheng-767 119 7 held hold VERB fumecheng-767 119 8 constant constant ADJ fumecheng-767 119 9 during during ADP fumecheng-767 119 10 the the DET fumecheng-767 119 11 frictional frictional ADJ fumecheng-767 119 12 process process NOUN fumecheng-767 119 13 . . PUNCT fumecheng-767 120 1 hence hence ADV fumecheng-767 120 2 , , PUNCT fumecheng-767 120 3 it it PRON fumecheng-767 120 4 is be AUX fumecheng-767 120 5 a a DET fumecheng-767 120 6 force force NOUN fumecheng-767 120 7 controlled control VERB fumecheng-767 120 8 process process NOUN fumecheng-767 120 9 . . PUNCT fumecheng-767 121 1 for for ADP fumecheng-767 121 2 simplicity simplicity NOUN fumecheng-767 121 3 , , PUNCT fumecheng-767 121 4 we we PRON fumecheng-767 121 5 employ employ VERB fumecheng-767 121 6 periodic periodic ADJ fumecheng-767 121 7 boundary boundary ADJ fumecheng-767 121 8 conditions condition NOUN fumecheng-767 121 9 . . PUNCT fumecheng-767 122 1 one one PRON fumecheng-767 122 2 can can AUX fumecheng-767 122 3 imagine imagine VERB fumecheng-767 122 4 that that SCONJ fumecheng-767 122 5 the the DET fumecheng-767 122 6 indenter indenter NOUN fumecheng-767 122 7 is be AUX fumecheng-767 122 8 virtually virtually ADV fumecheng-767 122 9 infinitely infinitely ADV fumecheng-767 122 10 many many ADJ fumecheng-767 122 11 times time NOUN fumecheng-767 122 12 repeated repeat VERB fumecheng-767 122 13 . . PUNCT fumecheng-767 123 1 due due ADP fumecheng-767 123 2 to to ADP fumecheng-767 123 3 the the DET fumecheng-767 123 4 chosen choose VERB fumecheng-767 123 5 boundary boundary ADJ fumecheng-767 123 6 conditions condition NOUN fumecheng-767 123 7 the the DET fumecheng-767 123 8 set set NOUN fumecheng-767 123 9 - - PUNCT fumecheng-767 123 10 up up NOUN fumecheng-767 123 11 has have VERB fumecheng-767 123 12 spatial spatial ADJ fumecheng-767 123 13 periodicity periodicity NOUN fumecheng-767 123 14 l l NOUN fumecheng-767 123 15 = = SYM fumecheng-767 123 16 dx dx PROPN fumecheng-767 123 17 n. n. VERB fumecheng-767 123 18 another another DET fumecheng-767 123 19 important important ADJ fumecheng-767 123 20 ingredient ingredient NOUN fumecheng-767 123 21 in in ADP fumecheng-767 123 22 the the DET fumecheng-767 123 23 model model NOUN fumecheng-767 123 24 is be AUX fumecheng-767 123 25 the the DET fumecheng-767 123 26 contact contact NOUN fumecheng-767 123 27 criterion criterion NOUN fumecheng-767 123 28 . . PUNCT fumecheng-767 124 1 the the DET fumecheng-767 124 2 surfaces surface NOUN fumecheng-767 124 3 are be AUX fumecheng-767 124 4 considered consider VERB fumecheng-767 124 5 to to PART fumecheng-767 124 6 be be AUX fumecheng-767 124 7 in in ADP fumecheng-767 124 8 contact contact NOUN fumecheng-767 124 9 if if SCONJ fumecheng-767 124 10 the the DET fumecheng-767 124 11 coordinate coordinate NOUN fumecheng-767 124 12 of of ADP fumecheng-767 124 13 deformable deformable ADJ fumecheng-767 124 14 surface surface NOUN fumecheng-767 124 15 u u NOUN fumecheng-767 124 16 is be AUX fumecheng-767 124 17 larger large ADJ fumecheng-767 124 18 than than ADP fumecheng-767 124 19 the the DET fumecheng-767 124 20 one one NUM fumecheng-767 124 21 of of ADP fumecheng-767 124 22 rigid rigid ADJ fumecheng-767 124 23 surface surface NOUN fumecheng-767 124 24 z z NOUN fumecheng-767 124 25 : : PUNCT fumecheng-767 125 1 i i PRON fumecheng-767 125 2 iz iz INTJ fumecheng-767 125 3     SPACE fumecheng-767 125 4 < < X fumecheng-767 125 5 u u NOUN fumecheng-767 125 6 . . PUNCT fumecheng-767 126 1 ( ( PUNCT fumecheng-767 126 2 12 12 NUM fumecheng-767 126 3 ) ) PUNCT fumecheng-767 126 4 from from ADP fumecheng-767 126 5 the the DET fumecheng-767 126 6 viscoelastic viscoelastic ADJ fumecheng-767 126 7 model model NOUN fumecheng-767 126 8 mentioned mention VERB fumecheng-767 126 9 earlier early ADV fumecheng-767 126 10 , , PUNCT fumecheng-767 126 11 one one PRON fumecheng-767 126 12 can can AUX fumecheng-767 126 13 easily easily ADV fumecheng-767 126 14 find find VERB fumecheng-767 126 15 the the DET fumecheng-767 126 16 equation equation NOUN fumecheng-767 126 17 of of ADP fumecheng-767 126 18 motion motion NOUN fumecheng-767 126 19 for for ADP fumecheng-767 126 20 the the DET fumecheng-767 126 21 kelvin kelvin PROPN fumecheng-767 126 22 element element NOUN fumecheng-767 126 23 at at ADP fumecheng-767 126 24 every every DET fumecheng-767 126 25 site site NOUN fumecheng-767 126 26 0 0 NUM fumecheng-767 126 27 ( ( PUNCT fumecheng-767 126 28 ) ) PUNCT fumecheng-767 126 29 extf extf PROPN fumecheng-767 126 30 k k X fumecheng-767 126 31 u u X fumecheng-767 126 32 u u NOUN fumecheng-767 126 33 u u PROPN fumecheng-767 126 34   PROPN fumecheng-767 126 35   PROPN fumecheng-767 126 36   NOUN fumecheng-767 126 37 for for ADP fumecheng-767 126 38 some some DET fumecheng-767 126 39 reference reference NOUN fumecheng-767 126 40 coordinate coordinate NOUN fumecheng-767 126 41 u0 u0 ADJ fumecheng-767 126 42 . . PUNCT fumecheng-767 127 1 in in ADP fumecheng-767 127 2 terms term NOUN fumecheng-767 127 3 of of ADP fumecheng-767 127 4 discretized discretized ADJ fumecheng-767 127 5 variables variable NOUN fumecheng-767 127 6 , , PUNCT fumecheng-767 127 7 the the DET fumecheng-767 127 8 force force NOUN fumecheng-767 127 9 exerted exert VERB fumecheng-767 127 10 at at ADP fumecheng-767 127 11 each each DET fumecheng-767 127 12 site site NOUN fumecheng-767 127 13 in in ADP fumecheng-767 127 14 contact contact NOUN fumecheng-767 127 15 is be AUX fumecheng-767 127 16 1 1 NUM fumecheng-767 127 17 , , PUNCT fumecheng-767 127 18 i i PRON fumecheng-767 128 1 i i PRON fumecheng-767 128 2 i i PRON fumecheng-767 129 1 i i VERB fumecheng-767 129 2 u u VERB fumecheng-767 130 1 u u NOUN fumecheng-767 130 2 f f PROPN fumecheng-767 130 3 k k PROPN fumecheng-767 130 4 u u X fumecheng-767 130 5 dt dt VERB fumecheng-767 130 6   NOUN fumecheng-767 130 7   NOUN fumecheng-767 130 8   PROPN fumecheng-767 130 9   PROPN fumecheng-767 130 10   PART fumecheng-767 130 11   PROPN fumecheng-767 130 12   CCONJ fumecheng-767 130 13   PROPN fumecheng-767 130 14   NOUN fumecheng-767 130 15 ( ( PUNCT fumecheng-767 130 16 13 13 NUM fumecheng-767 130 17 ) ) PUNCT fumecheng-767 130 18 where where SCONJ fumecheng-767 130 19   PROPN fumecheng-767 130 20   PROPN fumecheng-767 130 21 g g PROPN fumecheng-767 130 22 is be AUX fumecheng-767 130 23 the the DET fumecheng-767 130 24 relaxation relaxation NOUN fumecheng-767 130 25 time time NOUN fumecheng-767 130 26 of of ADP fumecheng-767 130 27 the the DET fumecheng-767 130 28 kelvin kelvin PROPN fumecheng-767 130 29 element element NOUN fumecheng-767 130 30 ( ( PUNCT fumecheng-767 130 31 for for ADP fumecheng-767 130 32 incompressible incompressible ADJ fumecheng-767 130 33 media medium NOUN fumecheng-767 130 34   NOUN fumecheng-767 130 35 ) ) PUNCT fumecheng-767 130 36 . . PUNCT fumecheng-767 131 1 the the DET fumecheng-767 131 2 spring spring NOUN fumecheng-767 131 3 experiences experience VERB fumecheng-767 131 4 a a DET fumecheng-767 131 5 force force NOUN fumecheng-767 131 6 according accord VERB fumecheng-767 131 7 to to ADP fumecheng-767 131 8 the the DET fumecheng-767 131 9 deviation deviation NOUN fumecheng-767 131 10 from from ADP fumecheng-767 131 11 the the DET fumecheng-767 131 12 undisturbed undisturbed ADJ fumecheng-767 131 13 soft soft ADJ fumecheng-767 131 14 surface surface NOUN fumecheng-767 131 15 u0i u0i NOUN fumecheng-767 131 16 = = PUNCT fumecheng-767 131 17 0 0 PUNCT fumecheng-767 131 18 while while SCONJ fumecheng-767 131 19 the the DET fumecheng-767 131 20 damper damper NOUN fumecheng-767 131 21 exerts exert VERB fumecheng-767 131 22 a a DET fumecheng-767 131 23 force force NOUN fumecheng-767 131 24 that that PRON fumecheng-767 131 25 is be AUX fumecheng-767 131 26 proportional proportional ADJ fumecheng-767 131 27 to to ADP fumecheng-767 131 28 the the DET fumecheng-767 131 29 rate rate NOUN fumecheng-767 131 30 of of ADP fumecheng-767 131 31 change change NOUN fumecheng-767 131 32 in in ADP fumecheng-767 131 33 the the DET fumecheng-767 131 34 deformed deform VERB fumecheng-767 131 35 surface surface NOUN fumecheng-767 131 36 . . PUNCT fumecheng-767 132 1 we we PRON fumecheng-767 132 2 define define VERB fumecheng-767 132 3 0 0 NUM fumecheng-767 132 4 0v 0v NOUN fumecheng-767 132 5 v v ADP fumecheng-767 132 6 v v PROPN fumecheng-767 132 7 kdx kdx PROPN fumecheng-767 132 8 dt dt PROPN fumecheng-767 132 9 gdx gdx PROPN fumecheng-767 132 10   PROPN fumecheng-767 132 11   X fumecheng-767 132 12   NUM fumecheng-767 132 13   NUM fumecheng-767 132 14   NOUN fumecheng-767 132 15 ( ( PUNCT fumecheng-767 132 16 14 14 NUM fumecheng-767 132 17 ) ) PUNCT fumecheng-767 132 18 as as ADP fumecheng-767 132 19 the the DET fumecheng-767 132 20 ratio ratio NOUN fumecheng-767 132 21 between between ADP fumecheng-767 132 22 the the DET fumecheng-767 132 23 time time NOUN fumecheng-767 132 24 scale scale NOUN fumecheng-767 132 25 of of ADP fumecheng-767 132 26 motion motion NOUN fumecheng-767 132 27 dt dt PROPN fumecheng-767 132 28 = = SYM fumecheng-767 132 29 dx dx PROPN fumecheng-767 132 30 / / SYM fumecheng-767 132 31 v0 v0 PROPN fumecheng-767 132 32 and and CCONJ fumecheng-767 132 33 the the DET fumecheng-767 132 34 time time NOUN fumecheng-767 132 35 scale scale NOUN fumecheng-767 132 36 of of ADP fumecheng-767 132 37 the the DET fumecheng-767 132 38 viscoelastic viscoelastic ADJ fumecheng-767 132 39 material material NOUN fumecheng-767 132 40 ( ( PUNCT fumecheng-767 132 41 relaxation relaxation NOUN fumecheng-767 132 42 ) ) PUNCT fumecheng-767 132 43 k k NOUN fumecheng-767 132 44 g g NOUN fumecheng-767 132 45 . . PUNCT fumecheng-767 133 1 between between ADP fumecheng-767 133 2 the the DET fumecheng-767 133 3 surfaces surface NOUN fumecheng-767 133 4 , , PUNCT fumecheng-767 133 5 a a DET fumecheng-767 133 6 force force NOUN fumecheng-767 133 7 acts act VERB fumecheng-767 133 8 according accord VERB fumecheng-767 133 9 to to ADP fumecheng-767 133 10 viscoelastic viscoelastic ADJ fumecheng-767 133 11 model model NOUN fumecheng-767 133 12 eq eq ADP fumecheng-767 133 13 . . PUNCT fumecheng-767 134 1 ( ( PUNCT fumecheng-767 134 2 13 13 NUM fumecheng-767 134 3 ) ) PUNCT fumecheng-767 134 4 if if SCONJ fumecheng-767 134 5 it it PRON fumecheng-767 134 6 is be AUX fumecheng-767 134 7 in in ADP fumecheng-767 134 8 contact contact NOUN fumecheng-767 134 9 . . PUNCT fumecheng-767 135 1 the the DET fumecheng-767 135 2 force force NOUN fumecheng-767 135 3 is be AUX fumecheng-767 135 4 set set VERB fumecheng-767 135 5 to to ADP fumecheng-767 135 6 zero zero NUM fumecheng-767 135 7 if if SCONJ fumecheng-767 135 8 surfaces surface NOUN fumecheng-767 135 9 are be AUX fumecheng-767 135 10 not not PART fumecheng-767 135 11 in in ADP fumecheng-767 135 12 52 52 NUM fumecheng-767 135 13 r. r. PROPN fumecheng-767 135 14 heise heise PROPN fumecheng-767 135 15 contact contact PROPN fumecheng-767 135 16 . . PUNCT fumecheng-767 136 1 negative negative ADJ fumecheng-767 136 2 forces force NOUN fumecheng-767 136 3 are be AUX fumecheng-767 136 4 not not PART fumecheng-767 136 5 considered consider VERB fumecheng-767 136 6 since since SCONJ fumecheng-767 136 7 this this PRON fumecheng-767 136 8 would would AUX fumecheng-767 136 9 correspond correspond VERB fumecheng-767 136 10 to to ADP fumecheng-767 136 11 adhesive adhesive ADJ fumecheng-767 136 12 effects effect NOUN fumecheng-767 136 13 which which PRON fumecheng-767 136 14 we we PRON fumecheng-767 136 15 exclude exclude VERB fumecheng-767 136 16 from from ADP fumecheng-767 136 17 our our PRON fumecheng-767 136 18 study study NOUN fumecheng-767 136 19 . . PUNCT fumecheng-767 137 1 initially initially ADV fumecheng-767 137 2 , , PUNCT fumecheng-767 137 3 the the DET fumecheng-767 137 4 rigid rigid ADJ fumecheng-767 137 5 surface surface NOUN fumecheng-767 137 6 described describe VERB fumecheng-767 137 7 by by ADP fumecheng-767 137 8 coordinates coordinate NOUN fumecheng-767 137 9 zi zi PROPN fumecheng-767 137 10 is be AUX fumecheng-767 137 11 generated generate VERB fumecheng-767 137 12 with with ADP fumecheng-767 137 13 a a DET fumecheng-767 137 14 certain certain ADJ fumecheng-767 137 15 given give VERB fumecheng-767 137 16 rms rm NOUN fumecheng-767 137 17 roughness roughness NOUN fumecheng-767 137 18 h h NOUN fumecheng-767 137 19 , , PUNCT fumecheng-767 137 20 system system NOUN fumecheng-767 137 21 length length NOUN fumecheng-767 137 22 l l NOUN fumecheng-767 137 23 , , PUNCT fumecheng-767 137 24 spacing space VERB fumecheng-767 137 25 dx dx PROPN fumecheng-767 137 26 and and CCONJ fumecheng-767 137 27 hurst hurst PROPN fumecheng-767 137 28 exponent exponent PROPN fumecheng-767 137 29 h. h. PROPN fumecheng-767 138 1 this this DET fumecheng-767 138 2 fixes fix VERB fumecheng-767 138 3 also also ADV fumecheng-767 138 4 the the DET fumecheng-767 138 5 rms rm NOUN fumecheng-767 138 6 gradient gradient NOUN fumecheng-767 138 7 2 2 NUM fumecheng-767 138 8 1 1 NUM fumecheng-767 138 9 1 1 NUM fumecheng-767 138 10 1/ 1/ NUM fumecheng-767 138 11 ( ( PUNCT fumecheng-767 138 12 ( ( PUNCT fumecheng-767 138 13 ) ) PUNCT fumecheng-767 138 14 / / SYM fumecheng-767 138 15 ) ) PUNCT fumecheng-767 139 1 n n CCONJ fumecheng-767 139 2 i i PRON fumecheng-767 140 1 i i INTJ fumecheng-767 141 1 i i VERB fumecheng-767 141 2 z z VERB fumecheng-767 142 1 n n PROPN fumecheng-767 142 2 z z PROPN fumecheng-767 142 3 z z PROPN fumecheng-767 142 4 dx dx PROPN fumecheng-767 143 1   NUM fumecheng-767 143 2   NOUN fumecheng-767 143 3   NUM fumecheng-767 143 4   PUNCT fumecheng-767 143 5 and and CCONJ fumecheng-767 143 6 cut cut VERB fumecheng-767 143 7 - - PUNCT fumecheng-767 143 8 off off ADP fumecheng-767 143 9 wave wave NOUN fumecheng-767 143 10 vectors vector NOUN fumecheng-767 143 11 qi qi PROPN fumecheng-767 143 12 and and CCONJ fumecheng-767 143 13 qf qf PROPN fumecheng-767 143 14 . . PUNCT fumecheng-767 144 1 note note VERB fumecheng-767 144 2 that that SCONJ fumecheng-767 144 3 the the DET fumecheng-767 144 4 mean mean NOUN fumecheng-767 144 5 of of ADP fumecheng-767 144 6 z z PROPN fumecheng-767 144 7 is be AUX fumecheng-767 144 8 zero zero NUM fumecheng-767 144 9 by by ADP fumecheng-767 144 10 construction construction NOUN fumecheng-767 144 11 . . PUNCT fumecheng-767 145 1 the the DET fumecheng-767 145 2 moving move VERB fumecheng-767 145 3 rigid rigid ADJ fumecheng-767 145 4 surface surface NOUN fumecheng-767 145 5 is be AUX fumecheng-767 145 6 pressed press VERB fumecheng-767 145 7 into into ADP fumecheng-767 145 8 the the DET fumecheng-767 145 9 deformable deformable ADJ fumecheng-767 145 10 surface surface NOUN fumecheng-767 145 11 in in ADP fumecheng-767 145 12 such such DET fumecheng-767 145 13 a a DET fumecheng-767 145 14 way way NOUN fumecheng-767 145 15 that that PRON fumecheng-767 145 16 the the DET fumecheng-767 145 17 given give VERB fumecheng-767 145 18 normal normal ADJ fumecheng-767 145 19 force force NOUN fumecheng-767 145 20 is be AUX fumecheng-767 145 21 sustained sustain VERB fumecheng-767 145 22 . . PUNCT fumecheng-767 146 1 at at ADP fumecheng-767 146 2 the the DET fumecheng-767 146 3 same same ADJ fumecheng-767 146 4 time time NOUN fumecheng-767 146 5 the the DET fumecheng-767 146 6 periodic periodic ADJ fumecheng-767 146 7 boundary boundary ADJ fumecheng-767 146 8 conditions condition NOUN fumecheng-767 146 9 are be AUX fumecheng-767 146 10 enforced enforce VERB fumecheng-767 146 11 . . PUNCT fumecheng-767 147 1 the the DET fumecheng-767 147 2 soft soft ADJ fumecheng-767 147 3 deformed deform VERB fumecheng-767 147 4 lower low ADJ fumecheng-767 147 5 surface surface NOUN fumecheng-767 147 6 is be AUX fumecheng-767 147 7 now now ADV fumecheng-767 147 8 described describe VERB fumecheng-767 147 9 by by ADP fumecheng-767 147 10 coordinate coordinate NOUN fumecheng-767 147 11 ui ui PROPN fumecheng-767 147 12 . . PUNCT fumecheng-767 148 1 the the DET fumecheng-767 148 2 situation situation NOUN fumecheng-767 148 3 is be AUX fumecheng-767 148 4 viewed view VERB fumecheng-767 148 5 as as ADP fumecheng-767 148 6 a a DET fumecheng-767 148 7 stationary stationary ADJ fumecheng-767 148 8 system system NOUN fumecheng-767 148 9 so so SCONJ fumecheng-767 148 10 that that SCONJ fumecheng-767 148 11 all all DET fumecheng-767 148 12 transient transient NOUN fumecheng-767 148 13 features feature NOUN fumecheng-767 148 14 have have AUX fumecheng-767 148 15 disappeared disappear VERB fumecheng-767 148 16 . . PUNCT fumecheng-767 149 1 hence hence ADV fumecheng-767 149 2 , , PUNCT fumecheng-767 149 3 time time NOUN fumecheng-767 149 4 step step NOUN fumecheng-767 149 5 dt dt NOUN fumecheng-767 149 6 for for ADP fumecheng-767 149 7 discretization discretization NOUN fumecheng-767 149 8 step step NOUN fumecheng-767 149 9 dx dx PROPN fumecheng-767 149 10 is be AUX fumecheng-767 149 11 rather rather ADV fumecheng-767 149 12 a a DET fumecheng-767 149 13 bookkeeping bookkeeping NOUN fumecheng-767 149 14 device device NOUN fumecheng-767 149 15 . . PUNCT fumecheng-767 150 1 side side NOUN fumecheng-767 150 2 step step NOUN fumecheng-767 150 3 dx dx PROPN fumecheng-767 150 4 is be AUX fumecheng-767 150 5 fixed fix VERB fumecheng-767 150 6 as as ADV fumecheng-767 150 7 well well ADV fumecheng-767 150 8 as as ADP fumecheng-767 150 9 time time NOUN fumecheng-767 150 10 step step NOUN fumecheng-767 150 11 dt dt NOUN fumecheng-767 150 12 throughout throughout ADP fumecheng-767 150 13 this this DET fumecheng-767 150 14 study study NOUN fumecheng-767 150 15 . . PUNCT fumecheng-767 151 1 in in ADP fumecheng-767 151 2 particular particular ADJ fumecheng-767 151 3 , , PUNCT fumecheng-767 151 4 this this PRON fumecheng-767 151 5 means mean VERB fumecheng-767 151 6 that that SCONJ fumecheng-767 151 7 spatial spatial ADJ fumecheng-767 151 8 derivatives derivative NOUN fumecheng-767 151 9 are be AUX fumecheng-767 151 10 linked link VERB fumecheng-767 151 11 to to ADP fumecheng-767 151 12 time time NOUN fumecheng-767 151 13 derivatives derivative NOUN fumecheng-767 151 14 via via ADP fumecheng-767 151 15 0 0 NUM fumecheng-767 151 16 . . PUNCT fumecheng-767 152 1 d d X fumecheng-767 152 2 d d X fumecheng-767 152 3 v v X fumecheng-767 152 4 dt dt X fumecheng-767 152 5 dx dx PROPN fumecheng-767 152 6   PROPN fumecheng-767 152 7 ( ( PUNCT fumecheng-767 152 8 15 15 NUM fumecheng-767 152 9 ) ) PUNCT fumecheng-767 152 10 further far ADV fumecheng-767 152 11 on on ADV fumecheng-767 152 12 , , PUNCT fumecheng-767 152 13 we we PRON fumecheng-767 152 14 denote denote VERB fumecheng-767 152 15 indices index NOUN fumecheng-767 152 16 according accord VERB fumecheng-767 152 17 to to ADP fumecheng-767 152 18 the the DET fumecheng-767 152 19 scheme scheme NOUN fumecheng-767 152 20 : : PUNCT fumecheng-767 152 21 i i PRON fumecheng-767 152 22 all all DET fumecheng-767 152 23 sites site NOUN fumecheng-767 152 24 , , PUNCT fumecheng-767 152 25 j j PROPN fumecheng-767 152 26 sites site NOUN fumecheng-767 152 27 in in ADP fumecheng-767 152 28 contact contact NOUN fumecheng-767 152 29 , , PUNCT fumecheng-767 152 30 k k PROPN fumecheng-767 152 31 sites site NOUN fumecheng-767 152 32 without without ADP fumecheng-767 152 33 contact contact NOUN fumecheng-767 152 34 . . PUNCT fumecheng-767 153 1 the the DET fumecheng-767 153 2 one one NUM fumecheng-767 153 3 - - PUNCT fumecheng-767 153 4 dimensional dimensional ADJ fumecheng-767 153 5 chain chain NOUN fumecheng-767 153 6 can can AUX fumecheng-767 153 7 be be AUX fumecheng-767 153 8 seen see VERB fumecheng-767 153 9 in in ADP fumecheng-767 153 10 fig fig NOUN fumecheng-767 153 11 . . PUNCT fumecheng-767 154 1 2 2 X fumecheng-767 154 2 . . X fumecheng-767 154 3 fig fig NOUN fumecheng-767 154 4 . . PUNCT fumecheng-767 155 1 2 2 NUM fumecheng-767 155 2 chain chain NOUN fumecheng-767 155 3 of of ADP fumecheng-767 155 4 discretized discretized ADJ fumecheng-767 155 5 kelvin kelvin PROPN fumecheng-767 155 6 elements element NOUN fumecheng-767 155 7 imagine imagine VERB fumecheng-767 155 8 we we PRON fumecheng-767 155 9 ride ride VERB fumecheng-767 155 10 along along ADP fumecheng-767 155 11 with with ADP fumecheng-767 155 12 the the DET fumecheng-767 155 13 indenter indenter NOUN fumecheng-767 155 14 to to ADP fumecheng-767 155 15 the the DET fumecheng-767 155 16 right right NOUN fumecheng-767 155 17 . . PUNCT fumecheng-767 156 1 one one NUM fumecheng-767 156 2 point point NOUN fumecheng-767 156 3 of of ADP fumecheng-767 156 4 the the DET fumecheng-767 156 5 surface surface NOUN fumecheng-767 156 6 is be AUX fumecheng-767 156 7 transferred transfer VERB fumecheng-767 156 8 to to ADP fumecheng-767 156 9 a a DET fumecheng-767 156 10 new new ADJ fumecheng-767 156 11 position position NOUN fumecheng-767 156 12 . . PUNCT fumecheng-767 157 1 this this DET fumecheng-767 157 2 new new ADJ fumecheng-767 157 3 position position NOUN fumecheng-767 157 4 of of ADP fumecheng-767 157 5 relaxing relax VERB fumecheng-767 157 6 surface surface NOUN fumecheng-767 157 7 ui ui NOUN fumecheng-767 157 8 is be AUX fumecheng-767 157 9 calculated calculate VERB fumecheng-767 157 10 according accord VERB fumecheng-767 157 11 to to ADP fumecheng-767 157 12 eq eq PROPN fumecheng-767 157 13 . . PUNCT fumecheng-767 158 1 ( ( PUNCT fumecheng-767 158 2 13 13 NUM fumecheng-767 158 3 ) ) PUNCT fumecheng-767 158 4 without without ADP fumecheng-767 158 5 external external ADJ fumecheng-767 158 6 force force NOUN fumecheng-767 158 7 . . PUNCT fumecheng-767 159 1 in in ADP fumecheng-767 159 2 a a DET fumecheng-767 159 3 continuous continuous ADJ fumecheng-767 159 4 description description NOUN fumecheng-767 159 5 , , PUNCT fumecheng-767 159 6 this this PRON fumecheng-767 159 7 leads lead VERB fumecheng-767 159 8 to to ADP fumecheng-767 159 9 a a DET fumecheng-767 159 10 simple simple ADJ fumecheng-767 159 11 ordinary ordinary ADJ fumecheng-767 159 12 differential differential ADJ fumecheng-767 159 13 equation equation NOUN fumecheng-767 159 14 00 00 PUNCT fumecheng-767 159 15 .u .u PROPN fumecheng-767 160 1 u u NOUN fumecheng-767 160 2 u u ADJ fumecheng-767 160 3   PROPN fumecheng-767 160 4   X fumecheng-767 160 5 ( ( PUNCT fumecheng-767 160 6 16 16 NUM fumecheng-767 160 7 ) ) PUNCT fumecheng-767 160 8 it it PRON fumecheng-767 160 9 is be AUX fumecheng-767 160 10 solved solve VERB fumecheng-767 160 11 by by ADP fumecheng-767 160 12 ( ( PUNCT fumecheng-767 160 13 ) ) PUNCT fumecheng-767 160 14 ( ( PUNCT fumecheng-767 160 15 0)exp 0)exp NUM fumecheng-767 160 16 t t NOUN fumecheng-767 160 17 u u NOUN fumecheng-767 160 18 t t PROPN fumecheng-767 160 19 u u PRON fumecheng-767 160 20   NOUN fumecheng-767 160 21   PROPN fumecheng-767 160 22   NOUN fumecheng-767 160 23   PROPN fumecheng-767 160 24   PROPN fumecheng-767 160 25   NOUN fumecheng-767 160 26   NOUN fumecheng-767 160 27   PROPN fumecheng-767 160 28 ( ( PUNCT fumecheng-767 160 29 17 17 NUM fumecheng-767 160 30 ) ) PUNCT fumecheng-767 160 31 after after ADP fumecheng-767 160 32 some some DET fumecheng-767 160 33 time time NOUN fumecheng-767 160 34 t t NOUN fumecheng-767 160 35 for for ADP fumecheng-767 160 36 an an DET fumecheng-767 160 37 undisturbed undisturbed ADJ fumecheng-767 160 38 surface surface NOUN fumecheng-767 160 39 at at ADP fumecheng-767 160 40 u0=0 u0=0 NOUN fumecheng-767 160 41 for for ADP fumecheng-767 160 42 some some DET fumecheng-767 160 43 constant constant ADJ fumecheng-767 160 44 u(0 u(0 NOUN fumecheng-767 160 45 ) ) PUNCT fumecheng-767 160 46 . . PUNCT fumecheng-767 161 1 in in ADP fumecheng-767 161 2 discretized discretized ADJ fumecheng-767 161 3 coordinates coordinate NOUN fumecheng-767 161 4 , , PUNCT fumecheng-767 161 5 the the DET fumecheng-767 161 6 solution solution NOUN fumecheng-767 161 7 relates relate VERB fumecheng-767 161 8 one one NUM fumecheng-767 161 9 site site NOUN fumecheng-767 161 10 to to ADP fumecheng-767 161 11 the the DET fumecheng-767 161 12 coordinate coordinate NOUN fumecheng-767 161 13 one one NUM fumecheng-767 161 14 step step NOUN fumecheng-767 161 15 to to ADP fumecheng-767 161 16 the the DET fumecheng-767 161 17 right right ADJ fumecheng-767 161 18 1 1 NUM fumecheng-767 161 19 exp exp NOUN fumecheng-767 161 20 .i .i NOUN fumecheng-767 162 1 i i PRON fumecheng-767 162 2 dt dt VERB fumecheng-767 162 3 u u NOUN fumecheng-767 162 4 u u NOUN fumecheng-767 162 5   PROPN fumecheng-767 162 6   ADJ fumecheng-767 162 7   PROPN fumecheng-767 162 8   NOUN fumecheng-767 163 1   PROPN fumecheng-767 163 2   PROPN fumecheng-767 163 3   NOUN fumecheng-767 163 4   NOUN fumecheng-767 163 5   PROPN fumecheng-767 163 6 ( ( PUNCT fumecheng-767 163 7 18 18 NUM fumecheng-767 163 8 ) ) PUNCT fumecheng-767 163 9 this this DET fumecheng-767 163 10 solution solution NOUN fumecheng-767 163 11 corresponds correspond VERB fumecheng-767 163 12 to to ADP fumecheng-767 163 13 a a DET fumecheng-767 163 14 free free ADJ fumecheng-767 163 15 evolution evolution NOUN fumecheng-767 163 16 and and CCONJ fumecheng-767 163 17 relaxation relaxation NOUN fumecheng-767 163 18 of of ADP fumecheng-767 163 19 the the DET fumecheng-767 163 20 polymer polymer NOUN fumecheng-767 163 21 . . PUNCT fumecheng-767 164 1 for for ADP fumecheng-767 164 2 the the DET fumecheng-767 164 3 deformable deformable ADJ fumecheng-767 164 4 surface surface NOUN fumecheng-767 164 5 at at ADP fumecheng-767 164 6 a a DET fumecheng-767 164 7 single single ADJ fumecheng-767 164 8 site site NOUN fumecheng-767 164 9 , , PUNCT fumecheng-767 164 10 four four NUM fumecheng-767 164 11 distinct distinct ADJ fumecheng-767 164 12 possible possible ADJ fumecheng-767 164 13 scenarios scenario NOUN fumecheng-767 164 14 exist exist VERB fumecheng-767 164 15 : : PUNCT fumecheng-767 164 16 flash flash NOUN fumecheng-767 164 17 temperatures temperature NOUN fumecheng-767 164 18 generated generate VERB fumecheng-767 164 19 by by ADP fumecheng-767 164 20 friction friction NOUN fumecheng-767 164 21 of of ADP fumecheng-767 164 22 a a DET fumecheng-767 164 23 viscoelastic viscoelastic ADJ fumecheng-767 164 24 body body NOUN fumecheng-767 164 25 53 53 NUM fumecheng-767 164 26 ( ( PUNCT fumecheng-767 164 27 i i NOUN fumecheng-767 164 28 ) ) PUNCT fumecheng-767 164 29 the the DET fumecheng-767 164 30 first first ADJ fumecheng-767 164 31 possibility possibility NOUN fumecheng-767 164 32 is be AUX fumecheng-767 164 33 a a DET fumecheng-767 164 34 site site NOUN fumecheng-767 164 35 that that PRON fumecheng-767 164 36 is be AUX fumecheng-767 164 37 already already ADV fumecheng-767 164 38 in in ADP fumecheng-767 164 39 contact contact NOUN fumecheng-767 164 40 and and CCONJ fumecheng-767 164 41 remains remain VERB fumecheng-767 164 42 so so ADV fumecheng-767 164 43 . . PUNCT fumecheng-767 165 1 the the DET fumecheng-767 165 2 old old ADJ fumecheng-767 165 3 coordinate coordinate NOUN fumecheng-767 165 4 of of ADP fumecheng-767 165 5 the the DET fumecheng-767 165 6 element element NOUN fumecheng-767 165 7 is be AUX fumecheng-767 165 8 uj+1 uj+1 NOUN fumecheng-767 165 9 = = NOUN fumecheng-767 165 10 zj+1 zj+1 NUM fumecheng-767 165 11 . . PUNCT fumecheng-767 166 1 it it PRON fumecheng-767 166 2 evolves evolve VERB fumecheng-767 166 3 freely freely ADV fumecheng-767 166 4 according accord VERB fumecheng-767 166 5 to to ADP fumecheng-767 166 6 eq eq PROPN fumecheng-767 166 7 . . PUNCT fumecheng-767 167 1 ( ( PUNCT fumecheng-767 167 2 18 18 NUM fumecheng-767 167 3 ) ) PUNCT fumecheng-767 167 4 . . PUNCT fumecheng-767 168 1 its its PRON fumecheng-767 168 2 new new ADJ fumecheng-767 168 3 coordinate coordinate NOUN fumecheng-767 168 4 fulfills fulfill VERB fumecheng-767 168 5 requirement requirement NOUN fumecheng-767 168 6 uj≥ uj≥ PROPN fumecheng-767 168 7 zj zj PROPN fumecheng-767 168 8 and and CCONJ fumecheng-767 168 9 hence hence ADV fumecheng-767 168 10 stays stay VERB fumecheng-767 168 11 in in ADP fumecheng-767 168 12 contact contact NOUN fumecheng-767 168 13 . . PUNCT fumecheng-767 169 1 the the DET fumecheng-767 169 2 force force NOUN fumecheng-767 169 3 at at ADP fumecheng-767 169 4 this this DET fumecheng-767 169 5 site site NOUN fumecheng-767 169 6 in in ADP fumecheng-767 169 7 contact contact NOUN fumecheng-767 169 8 is be AUX fumecheng-767 169 9 calculated calculate VERB fumecheng-767 169 10 according accord VERB fumecheng-767 169 11 to to ADP fumecheng-767 169 12 eq eq PROPN fumecheng-767 169 13 . . PUNCT fumecheng-767 170 1 ( ( PUNCT fumecheng-767 170 2 13 13 NUM fumecheng-767 170 3 ) ) PUNCT fumecheng-767 170 4 . . PUNCT fumecheng-767 171 1 the the DET fumecheng-767 171 2 coordinate coordinate NOUN fumecheng-767 171 3 of of ADP fumecheng-767 171 4 the the DET fumecheng-767 171 5 deformable deformable ADJ fumecheng-767 171 6 surface surface NOUN fumecheng-767 171 7 is be AUX fumecheng-767 171 8 set set VERB fumecheng-767 171 9 to to ADP fumecheng-767 171 10 the the DET fumecheng-767 171 11 rigid rigid ADJ fumecheng-767 171 12 one one NOUN fumecheng-767 171 13 , , PUNCT fumecheng-767 171 14 uj uj PROPN fumecheng-767 171 15 = = PROPN fumecheng-767 171 16 zj zj PROPN fumecheng-767 171 17 . . PUNCT fumecheng-767 171 18 ( ( PUNCT fumecheng-767 171 19 ii ii NOUN fumecheng-767 171 20 ) ) PUNCT fumecheng-767 171 21 the the DET fumecheng-767 171 22 second second ADJ fumecheng-767 171 23 possible possible ADJ fumecheng-767 171 24 result result NOUN fumecheng-767 171 25 of of ADP fumecheng-767 171 26 the the DET fumecheng-767 171 27 evolution evolution NOUN fumecheng-767 171 28 of of ADP fumecheng-767 171 29 a a DET fumecheng-767 171 30 site site NOUN fumecheng-767 171 31 , , PUNCT fumecheng-767 171 32 which which PRON fumecheng-767 171 33 already already ADV fumecheng-767 171 34 has have AUX fumecheng-767 171 35 been be AUX fumecheng-767 171 36 in in ADP fumecheng-767 171 37 contact contact NOUN fumecheng-767 171 38 , , PUNCT fumecheng-767 171 39 loses lose VERB fumecheng-767 171 40 its its PRON fumecheng-767 171 41 contact contact NOUN fumecheng-767 171 42 uj uj PROPN fumecheng-767 171 43 ≤ ≤ PROPN fumecheng-767 171 44 zj zj PROPN fumecheng-767 171 45 . . PUNCT fumecheng-767 172 1 the the DET fumecheng-767 172 2 force force NOUN fumecheng-767 172 3 acting act VERB fumecheng-767 172 4 at at ADP fumecheng-767 172 5 this this DET fumecheng-767 172 6 site site NOUN fumecheng-767 172 7 is be AUX fumecheng-767 172 8 set set VERB fumecheng-767 172 9 to to ADP fumecheng-767 172 10 zero zero NUM fumecheng-767 172 11 , , PUNCT fumecheng-767 172 12 fk fk INTJ fumecheng-767 172 13 = = NOUN fumecheng-767 172 14 0 0 PROPN fumecheng-767 172 15 . . PUNCT fumecheng-767 173 1 ( ( PUNCT fumecheng-767 173 2 iii iii X fumecheng-767 173 3 ) ) PUNCT fumecheng-767 173 4 another another DET fumecheng-767 173 5 outcome outcome NOUN fumecheng-767 173 6 of of ADP fumecheng-767 173 7 the the DET fumecheng-767 173 8 evolution evolution NOUN fumecheng-767 173 9 is be AUX fumecheng-767 173 10 that that SCONJ fumecheng-767 173 11 a a DET fumecheng-767 173 12 former former ADJ fumecheng-767 173 13 free free ADJ fumecheng-767 173 14 site site NOUN fumecheng-767 173 15 hits hit VERB fumecheng-767 173 16 the the DET fumecheng-767 173 17 rigid rigid ADJ fumecheng-767 173 18 surface surface NOUN fumecheng-767 173 19 and and CCONJ fumecheng-767 173 20 thus thus ADV fumecheng-767 173 21 gets get VERB fumecheng-767 173 22 into into ADP fumecheng-767 173 23 contact contact NOUN fumecheng-767 173 24 uj≥ uj≥ PROPN fumecheng-767 173 25 zj zj PROPN fumecheng-767 173 26 . . PUNCT fumecheng-767 173 27 again again ADV fumecheng-767 173 28 force force VERB fumecheng-767 173 29 fj fj PROPN fumecheng-767 173 30 in in ADP fumecheng-767 173 31 this this DET fumecheng-767 173 32 newly newly ADV fumecheng-767 173 33 established establish VERB fumecheng-767 173 34 contact contact NOUN fumecheng-767 173 35 site site NOUN fumecheng-767 173 36 is be AUX fumecheng-767 173 37 calculated calculate VERB fumecheng-767 173 38 in in ADP fumecheng-767 173 39 accordance accordance NOUN fumecheng-767 173 40 with with ADP fumecheng-767 173 41 eq eq NOUN fumecheng-767 173 42 . . PUNCT fumecheng-767 174 1 ( ( PUNCT fumecheng-767 174 2 13 13 NUM fumecheng-767 174 3 ) ) PUNCT fumecheng-767 174 4 . . PUNCT fumecheng-767 175 1 finally finally ADV fumecheng-767 175 2 , , PUNCT fumecheng-767 175 3 the the DET fumecheng-767 175 4 coordinate coordinate NOUN fumecheng-767 175 5 is be AUX fumecheng-767 175 6 set set VERB fumecheng-767 175 7 to to ADP fumecheng-767 175 8 the the DET fumecheng-767 175 9 rigid rigid ADJ fumecheng-767 175 10 one one NOUN fumecheng-767 175 11 , , PUNCT fumecheng-767 175 12 uj uj PROPN fumecheng-767 175 13 = = PROPN fumecheng-767 175 14 zj zj PROPN fumecheng-767 175 15 . . PUNCT fumecheng-767 175 16 ( ( PUNCT fumecheng-767 175 17 iv iv X fumecheng-767 175 18 ) ) PUNCT fumecheng-767 175 19 the the DET fumecheng-767 175 20 last last ADJ fumecheng-767 175 21 possibility possibility NOUN fumecheng-767 175 22 of of ADP fumecheng-767 175 23 evolution evolution NOUN fumecheng-767 175 24 is be AUX fumecheng-767 175 25 a a DET fumecheng-767 175 26 free free ADJ fumecheng-767 175 27 contact contact NOUN fumecheng-767 175 28 that that PRON fumecheng-767 175 29 stays stay VERB fumecheng-767 175 30 free free ADJ fumecheng-767 175 31 . . PUNCT fumecheng-767 176 1 its its PRON fumecheng-767 176 2 coordinate coordinate NOUN fumecheng-767 176 3 ku ku PROPN fumecheng-767 176 4 evolves evolve NOUN fumecheng-767 176 5 according accord VERB fumecheng-767 176 6 to to ADP fumecheng-767 176 7 the the DET fumecheng-767 176 8 equation equation NOUN fumecheng-767 176 9 of of ADP fumecheng-767 176 10 motion motion NOUN fumecheng-767 176 11 eq eq ADP fumecheng-767 176 12 . . PUNCT fumecheng-767 176 13 ( ( PUNCT fumecheng-767 176 14 13 13 NUM fumecheng-767 176 15 ) ) PUNCT fumecheng-767 176 16 with with ADP fumecheng-767 176 17 external external ADJ fumecheng-767 176 18 force force NOUN fumecheng-767 176 19 set set VERB fumecheng-767 176 20 to to ADP fumecheng-767 176 21 zero zero NUM fumecheng-767 176 22 and and CCONJ fumecheng-767 176 23 reference reference NOUN fumecheng-767 176 24 surface surface NOUN fumecheng-767 176 25 u0k=0 u0k=0 PROPN fumecheng-767 176 26 . . PUNCT fumecheng-767 177 1 eq eq ADJ fumecheng-767 177 2 . . PUNCT fumecheng-767 178 1 ( ( PUNCT fumecheng-767 178 2 18 18 NUM fumecheng-767 178 3 ) ) PUNCT fumecheng-767 178 4 gives give VERB fumecheng-767 178 5 the the DET fumecheng-767 178 6 height height NOUN fumecheng-767 178 7 of of ADP fumecheng-767 178 8 surface surface NOUN fumecheng-767 178 9 uk uk PROPN fumecheng-767 178 10 at at ADP fumecheng-767 178 11 this this DET fumecheng-767 178 12 site site NOUN fumecheng-767 178 13 . . PUNCT fumecheng-767 179 1 there there PRON fumecheng-767 179 2 is be VERB fumecheng-767 179 3 no no DET fumecheng-767 179 4 force force NOUN fumecheng-767 179 5 acting act VERB fumecheng-767 179 6 between between ADP fumecheng-767 179 7 the the DET fumecheng-767 179 8 surfaces surface NOUN fumecheng-767 179 9 at at ADP fumecheng-767 179 10 this this DET fumecheng-767 179 11 site site NOUN fumecheng-767 179 12 , , PUNCT fumecheng-767 179 13 fk=0 fk=0 PROPN fumecheng-767 179 14 . . PUNCT fumecheng-767 180 1 a a DET fumecheng-767 180 2 typical typical ADJ fumecheng-767 180 3 picture picture NOUN fumecheng-767 180 4 of of ADP fumecheng-767 180 5 the the DET fumecheng-767 180 6 described describe VERB fumecheng-767 180 7 situation situation NOUN fumecheng-767 180 8 can can AUX fumecheng-767 180 9 be be AUX fumecheng-767 180 10 found find VERB fumecheng-767 180 11 in in ADP fumecheng-767 180 12 fig fig NOUN fumecheng-767 180 13 . . PUNCT fumecheng-767 181 1 3 3 X fumecheng-767 181 2 . . X fumecheng-767 181 3 fig fig NOUN fumecheng-767 181 4 . . PUNCT fumecheng-767 182 1 3 3 NUM fumecheng-767 182 2 typical typical ADJ fumecheng-767 182 3 picture picture NOUN fumecheng-767 182 4 of of ADP fumecheng-767 182 5 the the DET fumecheng-767 182 6 surfaces surface NOUN fumecheng-767 182 7 : : PUNCT fumecheng-767 182 8 rigid rigid ADJ fumecheng-767 182 9 rough rough ADJ fumecheng-767 182 10 surface surface NOUN fumecheng-767 182 11 ( ( PUNCT fumecheng-767 182 12 blue blue NOUN fumecheng-767 182 13 solid solid ADJ fumecheng-767 182 14 ) ) PUNCT fumecheng-767 182 15 and and CCONJ fumecheng-767 182 16 deformed deform VERB fumecheng-767 182 17 elastomer elastomer NOUN fumecheng-767 182 18 ( ( PUNCT fumecheng-767 182 19 red red PROPN fumecheng-767 182 20 dashed dash VERB fumecheng-767 182 21 ) ) PUNCT fumecheng-767 182 22 summing sum VERB fumecheng-767 182 23 local local ADJ fumecheng-767 182 24 forces force NOUN fumecheng-767 182 25 fi fi NOUN fumecheng-767 182 26 over over ADP fumecheng-767 182 27 all all DET fumecheng-767 182 28 the the DET fumecheng-767 182 29 sites site NOUN fumecheng-767 182 30 yields yield VERB fumecheng-767 182 31 the the DET fumecheng-767 182 32 total total ADJ fumecheng-767 182 33 force force NOUN fumecheng-767 182 34 exerted exert VERB fumecheng-767 182 35 between between ADP fumecheng-767 182 36 the the DET fumecheng-767 182 37 surfaces surface NOUN fumecheng-767 182 38 . . PUNCT fumecheng-767 183 1 this this DET fumecheng-767 183 2 force force NOUN fumecheng-767 183 3 should should AUX fumecheng-767 183 4 equal equal VERB fumecheng-767 183 5 given give VERB fumecheng-767 183 6 normal normal ADJ fumecheng-767 183 7 force force NOUN fumecheng-767 183 8 fn fn NOUN fumecheng-767 183 9 . . PUNCT fumecheng-767 184 1 in in ADP fumecheng-767 184 2 order order NOUN fumecheng-767 184 3 to to PART fumecheng-767 184 4 achieve achieve VERB fumecheng-767 184 5 this this DET fumecheng-767 184 6 requirement requirement NOUN fumecheng-767 184 7 , , PUNCT fumecheng-767 184 8 the the DET fumecheng-767 184 9 coordinate coordinate NOUN fumecheng-767 184 10 of of ADP fumecheng-767 184 11 the the DET fumecheng-767 184 12 rigid rigid ADJ fumecheng-767 184 13 body body NOUN fumecheng-767 184 14 is be AUX fumecheng-767 184 15 adjusted adjust VERB fumecheng-767 184 16 by by ADP fumecheng-767 184 17 an an DET fumecheng-767 184 18 overall overall ADJ fumecheng-767 184 19 shift shift NOUN fumecheng-767 184 20 of of ADP fumecheng-767 184 21 this this DET fumecheng-767 184 22 surface surface NOUN fumecheng-767 184 23 by by ADP fumecheng-767 184 24 a a DET fumecheng-767 184 25 quantity quantity NOUN fumecheng-767 184 26 z z NOUN fumecheng-767 184 27 0 0 NUM fumecheng-767 185 1 .i .i NOUN fumecheng-767 185 2 iz iz INTJ fumecheng-767 185 3 z z NOUN fumecheng-767 185 4 z z PROPN fumecheng-767 185 5   PROPN fumecheng-767 185 6 ( ( PUNCT fumecheng-767 185 7 19 19 NUM fumecheng-767 185 8 ) ) PUNCT fumecheng-767 185 9 the the DET fumecheng-767 185 10 adaptation adaptation NOUN fumecheng-767 185 11 to to ADP fumecheng-767 185 12 the the DET fumecheng-767 185 13 new new ADJ fumecheng-767 185 14 equilibrium equilibrium NOUN fumecheng-767 185 15 is be AUX fumecheng-767 185 16 an an DET fumecheng-767 185 17 iterative iterative NOUN fumecheng-767 185 18 process process NOUN fumecheng-767 185 19 since since SCONJ fumecheng-767 185 20 the the DET fumecheng-767 185 21 contact contact NOUN fumecheng-767 185 22 region region NOUN fumecheng-767 185 23 changes change NOUN fumecheng-767 185 24 as as ADV fumecheng-767 185 25 well well ADV fumecheng-767 185 26 and and CCONJ fumecheng-767 185 27 defines define VERB fumecheng-767 185 28 it it PRON fumecheng-767 185 29 implicitly implicitly ADV fumecheng-767 185 30 . . PUNCT fumecheng-767 186 1 54 54 NUM fumecheng-767 186 2 r. r. PROPN fumecheng-767 186 3 heise heise PROPN fumecheng-767 186 4 for for ADP fumecheng-767 186 5 the the DET fumecheng-767 186 6 computation computation NOUN fumecheng-767 186 7 of of ADP fumecheng-767 186 8 frictional frictional ADJ fumecheng-767 186 9 force force NOUN fumecheng-767 186 10 fx fx ADP fumecheng-767 186 11 the the DET fumecheng-767 186 12 tangential tangential ADJ fumecheng-767 186 13 force force NOUN fumecheng-767 186 14 for for ADP fumecheng-767 186 15 all all DET fumecheng-767 186 16 sites site NOUN fumecheng-767 186 17 1 1 NUM fumecheng-767 187 1 i i PRON fumecheng-767 188 1 i i VERB fumecheng-767 189 1 x x VERB fumecheng-767 190 1 i i PRON fumecheng-767 190 2 i i PRON fumecheng-767 191 1 i i PRON fumecheng-767 191 2 i i PRON fumecheng-767 192 1 i i VERB fumecheng-767 192 2 z z VERB fumecheng-767 192 3 z z VERB fumecheng-767 193 1 f f X fumecheng-767 194 1 f f PROPN fumecheng-767 194 2 z z PROPN fumecheng-767 194 3 f f PROPN fumecheng-767 194 4 dx dx PROPN fumecheng-767 194 5   PROPN fumecheng-767 194 6   VERB fumecheng-767 194 7   NUM fumecheng-767 194 8   NOUN fumecheng-767 194 9   X fumecheng-767 194 10   X fumecheng-767 194 11 ( ( PUNCT fumecheng-767 194 12 20 20 NUM fumecheng-767 194 13 ) ) PUNCT fumecheng-767 194 14 is be AUX fumecheng-767 194 15 calculated calculate VERB fumecheng-767 194 16 . . PUNCT fumecheng-767 195 1 remember remember VERB fumecheng-767 195 2 that that SCONJ fumecheng-767 195 3 the the DET fumecheng-767 195 4 sites site NOUN fumecheng-767 195 5 without without ADP fumecheng-767 195 6 contact contact NOUN fumecheng-767 195 7 sustain sustain VERB fumecheng-767 195 8 no no DET fumecheng-767 195 9 force force NOUN fumecheng-767 195 10 and and CCONJ fumecheng-767 195 11 hence hence ADV fumecheng-767 195 12 the the DET fumecheng-767 195 13 frictional frictional ADJ fumecheng-767 195 14 force force NOUN fumecheng-767 195 15 equals equal VERB fumecheng-767 195 16 zero zero NUM fumecheng-767 195 17 in in ADP fumecheng-767 195 18 non non ADJ fumecheng-767 195 19 - - ADJ fumecheng-767 195 20 contact contact ADJ fumecheng-767 195 21 sites site NOUN fumecheng-767 195 22 . . PUNCT fumecheng-767 196 1 the the DET fumecheng-767 196 2 coefficient coefficient NOUN fumecheng-767 196 3 of of ADP fumecheng-767 196 4 friction friction NOUN fumecheng-767 196 5 is be AUX fumecheng-767 196 6 defined define VERB fumecheng-767 196 7 as as ADP fumecheng-767 196 8 a a DET fumecheng-767 196 9 ratio ratio NOUN fumecheng-767 196 10 between between ADP fumecheng-767 196 11 the the DET fumecheng-767 196 12 tangential tangential ADJ fumecheng-767 196 13 and and CCONJ fumecheng-767 196 14 the the DET fumecheng-767 196 15 total total ADJ fumecheng-767 196 16 normal normal ADJ fumecheng-767 196 17 force force NOUN fumecheng-767 196 18 . . PUNCT fumecheng-767 197 1 x x PUNCT fumecheng-767 197 2 x x X fumecheng-767 198 1 i i PRON fumecheng-767 198 2 n n VERB fumecheng-767 199 1 i i PRON fumecheng-767 199 2 f f PROPN fumecheng-767 200 1 f f PROPN fumecheng-767 200 2 f f PROPN fumecheng-767 200 3 f f PROPN fumecheng-767 200 4   NOUN fumecheng-767 201 1   NOUN fumecheng-767 201 2   NOUN fumecheng-767 201 3   X fumecheng-767 201 4 ( ( PUNCT fumecheng-767 201 5 21 21 NUM fumecheng-767 201 6 ) ) PUNCT fumecheng-767 201 7 the the DET fumecheng-767 201 8 contact contact NOUN fumecheng-767 201 9 length length NOUN fumecheng-767 201 10 is be AUX fumecheng-767 201 11 computed compute VERB fumecheng-767 201 12 as as ADP fumecheng-767 201 13 the the DET fumecheng-767 201 14 sum sum NOUN fumecheng-767 201 15 over over ADP fumecheng-767 201 16 the the DET fumecheng-767 201 17 number number NOUN fumecheng-767 201 18 of of ADP fumecheng-767 201 19 contact contact NOUN fumecheng-767 201 20 site site NOUN fumecheng-767 201 21 times time VERB fumecheng-767 201 22 the the DET fumecheng-767 201 23 spatial spatial ADJ fumecheng-767 201 24 step step NOUN fumecheng-767 201 25 . . PUNCT fumecheng-767 202 1 cont cont PROPN fumecheng-767 202 2 cont cont PROPN fumecheng-767 202 3 j j PROPN fumecheng-767 202 4 l l PROPN fumecheng-767 202 5 dx dx PROPN fumecheng-767 203 1 dxn dxn PROPN fumecheng-767 203 2   PROPN fumecheng-767 203 3 ( ( PUNCT fumecheng-767 203 4 22 22 NUM fumecheng-767 203 5 ) ) PUNCT fumecheng-767 203 6 another another DET fumecheng-767 203 7 quantity quantity NOUN fumecheng-767 203 8 of of ADP fumecheng-767 203 9 interest interest NOUN fumecheng-767 203 10 is be AUX fumecheng-767 203 11 the the DET fumecheng-767 203 12 surface surface NOUN fumecheng-767 203 13 gradient gradient NOUN fumecheng-767 203 14 in in ADP fumecheng-767 203 15 contact contact NOUN fumecheng-767 203 16 sites site NOUN fumecheng-767 203 17 2 2 NUM fumecheng-767 203 18 11 11 NUM fumecheng-767 203 19 , , PUNCT fumecheng-767 203 20 j j PROPN fumecheng-767 203 21 j j PROPN fumecheng-767 203 22 cont cont PROPN fumecheng-767 203 23 jcont jcont PROPN fumecheng-767 203 24 z z PROPN fumecheng-767 203 25 z z PROPN fumecheng-767 203 26 z z PROPN fumecheng-767 203 27 n n PRON fumecheng-767 203 28 dx dx PROPN fumecheng-767 203 29   PROPN fumecheng-767 203 30   PROPN fumecheng-767 203 31   NOUN fumecheng-767 203 32   PROPN fumecheng-767 204 1   NUM fumecheng-767 204 2   PROPN fumecheng-767 204 3   PROPN fumecheng-767 204 4   PROPN fumecheng-767 204 5   NOUN fumecheng-767 204 6   X fumecheng-767 204 7 ( ( PUNCT fumecheng-767 204 8 23 23 NUM fumecheng-767 204 9 ) ) PUNCT fumecheng-767 204 10 which which PRON fumecheng-767 204 11 is be AUX fumecheng-767 204 12 a a DET fumecheng-767 204 13 measure measure NOUN fumecheng-767 204 14 for for ADP fumecheng-767 204 15 the the DET fumecheng-767 204 16 roughness roughness NOUN fumecheng-767 204 17 that that PRON fumecheng-767 204 18 is be AUX fumecheng-767 204 19 actually actually ADV fumecheng-767 204 20 experienced experience VERB fumecheng-767 204 21 by by ADP fumecheng-767 204 22 the the DET fumecheng-767 204 23 surfaces surface NOUN fumecheng-767 204 24 . . PUNCT fumecheng-767 205 1 2.1 2.1 NUM fumecheng-767 205 2 . . PUNCT fumecheng-767 205 3 temperature temperature NOUN fumecheng-767 205 4 dependence dependence NOUN fumecheng-767 205 5 the the DET fumecheng-767 205 6 temperature temperature NOUN fumecheng-767 205 7 dependence dependence NOUN fumecheng-767 205 8 of of ADP fumecheng-767 205 9 the the DET fumecheng-767 205 10 simulated simulate VERB fumecheng-767 205 11 tribological tribological ADJ fumecheng-767 205 12 contact contact NOUN fumecheng-767 205 13 is be AUX fumecheng-767 205 14 included include VERB fumecheng-767 205 15 in in ADP fumecheng-767 205 16 two two NUM fumecheng-767 205 17 ways way NOUN fumecheng-767 205 18 . . PUNCT fumecheng-767 206 1 firstly firstly ADV fumecheng-767 206 2 , , PUNCT fumecheng-767 206 3 the the DET fumecheng-767 206 4 viscoelastic viscoelastic ADJ fumecheng-767 206 5 properties property NOUN fumecheng-767 206 6 of of ADP fumecheng-767 206 7 the the DET fumecheng-767 206 8 material material NOUN fumecheng-767 206 9 may may AUX fumecheng-767 206 10 be be AUX fumecheng-767 206 11 changed change VERB fumecheng-767 206 12 due due ADP fumecheng-767 206 13 to to ADP fumecheng-767 206 14 the the DET fumecheng-767 206 15 temperature temperature NOUN fumecheng-767 206 16 rise rise NOUN fumecheng-767 206 17 . . PUNCT fumecheng-767 207 1 a a DET fumecheng-767 207 2 detailed detailed ADJ fumecheng-767 207 3 analysis analysis NOUN fumecheng-767 207 4 [ [ X fumecheng-767 207 5 21 21 NUM fumecheng-767 207 6 ] ] PUNCT fumecheng-767 207 7 reveals reveal VERB fumecheng-767 207 8 the the DET fumecheng-767 207 9 following follow VERB fumecheng-767 207 10 temperature temperature NOUN fumecheng-767 207 11 dependence dependence NOUN fumecheng-767 207 12 . . PUNCT fumecheng-767 208 1 suppose suppose VERB fumecheng-767 208 2 the the DET fumecheng-767 208 3 elastomer elastomer NOUN fumecheng-767 208 4 can can AUX fumecheng-767 208 5 be be AUX fumecheng-767 208 6 thought think VERB fumecheng-767 208 7 of of ADP fumecheng-767 208 8 as as ADP fumecheng-767 208 9 an an DET fumecheng-767 208 10 amorphous amorphous ADJ fumecheng-767 208 11 body body NOUN fumecheng-767 208 12 consisting consist VERB fumecheng-767 208 13 of of ADP fumecheng-767 208 14 molecules molecule NOUN fumecheng-767 208 15 . . PUNCT fumecheng-767 209 1 they they PRON fumecheng-767 209 2 usually usually ADV fumecheng-767 209 3 oscillate oscillate VERB fumecheng-767 209 4 in in ADP fumecheng-767 209 5 a a DET fumecheng-767 209 6 potential potential ADJ fumecheng-767 209 7 well well NOUN fumecheng-767 209 8 formed form VERB fumecheng-767 209 9 by by ADP fumecheng-767 209 10 the the DET fumecheng-767 209 11 surrounding surround VERB fumecheng-767 209 12 molecules molecule NOUN fumecheng-767 209 13 . . PUNCT fumecheng-767 210 1 but but CCONJ fumecheng-767 210 2 there there PRON fumecheng-767 210 3 is be VERB fumecheng-767 210 4 also also ADV fumecheng-767 210 5 the the DET fumecheng-767 210 6 possibility possibility NOUN fumecheng-767 210 7 of of ADP fumecheng-767 210 8 jumps jump NOUN fumecheng-767 210 9 whose whose DET fumecheng-767 210 10 energy energy NOUN fumecheng-767 210 11 is be AUX fumecheng-767 210 12 provided provide VERB fumecheng-767 210 13 by by ADP fumecheng-767 210 14 thermal thermal ADJ fumecheng-767 210 15 fluctuations fluctuation NOUN fumecheng-767 210 16 within within ADP fumecheng-767 210 17 an an DET fumecheng-767 210 18 activation activation NOUN fumecheng-767 210 19 volume volume NOUN fumecheng-767 210 20 . . PUNCT fumecheng-767 211 1 these these DET fumecheng-767 211 2 rarely rarely ADV fumecheng-767 211 3 occurring occur VERB fumecheng-767 211 4 jumps jump NOUN fumecheng-767 211 5 are be AUX fumecheng-767 211 6 the the DET fumecheng-767 211 7 physical physical ADJ fumecheng-767 211 8 reason reason NOUN fumecheng-767 211 9 for for ADP fumecheng-767 211 10 a a DET fumecheng-767 211 11 flow flow NOUN fumecheng-767 211 12 in in ADP fumecheng-767 211 13 the the DET fumecheng-767 211 14 presence presence NOUN fumecheng-767 211 15 of of ADP fumecheng-767 211 16 shear shear NOUN fumecheng-767 211 17 stresses stress NOUN fumecheng-767 211 18 in in ADP fumecheng-767 211 19 fluids fluid NOUN fumecheng-767 211 20 . . PUNCT fumecheng-767 212 1 without without ADP fumecheng-767 212 2 shear shear NOUN fumecheng-767 212 3 stress stress NOUN fumecheng-767 212 4 , , PUNCT fumecheng-767 212 5 a a DET fumecheng-767 212 6 molecule molecule NOUN fumecheng-767 212 7 can can AUX fumecheng-767 212 8 jump jump VERB fumecheng-767 212 9 in in ADP fumecheng-767 212 10 any any DET fumecheng-767 212 11 direction direction NOUN fumecheng-767 212 12 with with ADP fumecheng-767 212 13 a a DET fumecheng-767 212 14 probability probability NOUN fumecheng-767 212 15 that that PRON fumecheng-767 212 16 is be AUX fumecheng-767 212 17 proportional proportional ADJ fumecheng-767 212 18 to to ADP fumecheng-767 212 19 a a DET fumecheng-767 212 20 boltzmann boltzmann PROPN fumecheng-767 212 21 factor factor NOUN fumecheng-767 212 22 0exp 0exp PROPN fumecheng-767 212 23 [ [ PUNCT fumecheng-767 212 24 / / SYM fumecheng-767 212 25 ] ] X fumecheng-767 212 26 bp bp PROPN fumecheng-767 212 27 u u NOUN fumecheng-767 212 28 k k PROPN fumecheng-767 212 29 t t PROPN fumecheng-767 212 30 for for ADP fumecheng-767 212 31 some some DET fumecheng-767 212 32 temperature temperature NOUN fumecheng-767 212 33 t t NOUN fumecheng-767 212 34 , , PUNCT fumecheng-767 212 35 activation activation NOUN fumecheng-767 212 36 potential potential ADJ fumecheng-767 212 37 u0 u0 NOUN fumecheng-767 212 38 , , PUNCT fumecheng-767 212 39 and and CCONJ fumecheng-767 212 40 boltzmann boltzmann PROPN fumecheng-767 212 41 constant constant PROPN fumecheng-767 212 42 kb kb PROPN fumecheng-767 212 43 . . PUNCT fumecheng-767 213 1 in in ADP fumecheng-767 213 2 absence absence NOUN fumecheng-767 213 3 of of ADP fumecheng-767 213 4 a a DET fumecheng-767 213 5 shear shear NOUN fumecheng-767 213 6 stress stress NOUN fumecheng-767 213 7 , , PUNCT fumecheng-767 213 8 there there PRON fumecheng-767 213 9 is be VERB fumecheng-767 213 10 no no DET fumecheng-767 213 11 macroscopic macroscopic ADJ fumecheng-767 213 12 motion motion NOUN fumecheng-767 213 13 in in ADP fumecheng-767 213 14 the the DET fumecheng-767 213 15 fluid fluid NOUN fumecheng-767 213 16 . . PUNCT fumecheng-767 214 1 when when SCONJ fumecheng-767 214 2 a a DET fumecheng-767 214 3 shear shear NOUN fumecheng-767 214 4 stress stress NOUN fumecheng-767 214 5 s  NOUN fumecheng-767 214 6 is be AUX fumecheng-767 214 7 imposed impose VERB fumecheng-767 214 8 onto onto ADP fumecheng-767 214 9 the the DET fumecheng-767 214 10 system system NOUN fumecheng-767 214 11 the the DET fumecheng-767 214 12 situation situation NOUN fumecheng-767 214 13 changes change VERB fumecheng-767 214 14 in in ADP fumecheng-767 214 15 such such DET fumecheng-767 214 16 a a DET fumecheng-767 214 17 way way NOUN fumecheng-767 214 18 that that PRON fumecheng-767 214 19 the the DET fumecheng-767 214 20 potential potential ADJ fumecheng-767 214 21 barriers barrier NOUN fumecheng-767 214 22 diminish diminish VERB fumecheng-767 214 23 in in ADP fumecheng-767 214 24 the the DET fumecheng-767 214 25 direction direction NOUN fumecheng-767 214 26 of of ADP fumecheng-767 214 27 the the DET fumecheng-767 214 28 shear shear NOUN fumecheng-767 214 29 stress stress NOUN fumecheng-767 214 30 by by ADP fumecheng-767 214 31 an an DET fumecheng-767 214 32 amount amount NOUN fumecheng-767 214 33 sv0 sv0 NOUN fumecheng-767 214 34 for for ADP fumecheng-767 214 35 some some DET fumecheng-767 214 36 activation activation NOUN fumecheng-767 214 37 volume volume NOUN fumecheng-767 214 38 . . PUNCT fumecheng-767 215 1 in in ADP fumecheng-767 215 2 the the DET fumecheng-767 215 3 direction direction NOUN fumecheng-767 215 4 against against ADP fumecheng-767 215 5 the the DET fumecheng-767 215 6 shear shear NOUN fumecheng-767 215 7 stress stress VERB fumecheng-767 215 8 the the DET fumecheng-767 215 9 potential potential ADJ fumecheng-767 215 10 increases increase NOUN fumecheng-767 215 11 by by ADP fumecheng-767 215 12 the the DET fumecheng-767 215 13 same same ADJ fumecheng-767 215 14 amount amount NOUN fumecheng-767 215 15 . . PUNCT fumecheng-767 216 1 summarizing summarize VERB fumecheng-767 216 2 the the DET fumecheng-767 216 3 potentials potential NOUN fumecheng-767 216 4 for for ADP fumecheng-767 216 5 jumps jump NOUN fumecheng-767 216 6 along along ADP fumecheng-767 216 7 and and CCONJ fumecheng-767 216 8 opposite opposite ADJ fumecheng-767 216 9 to to ADP fumecheng-767 216 10 the the DET fumecheng-767 216 11 shear shear NOUN fumecheng-767 216 12 stress stress NOUN fumecheng-767 216 13 we we PRON fumecheng-767 216 14 get get VERB fumecheng-767 216 15 0 0 NUM fumecheng-767 216 16 0 0 NUM fumecheng-767 216 17 0 0 NUM fumecheng-767 216 18 0 0 NUM fumecheng-767 216 19 , , PUNCT fumecheng-767 216 20 . . PUNCT fumecheng-767 217 1 a a DET fumecheng-767 217 2 s s X fumecheng-767 217 3 o o NOUN fumecheng-767 217 4 s s X fumecheng-767 217 5 u u X fumecheng-767 217 6 u u NOUN fumecheng-767 217 7 v v ADP fumecheng-767 217 8 u u X fumecheng-767 217 9 u u NOUN fumecheng-767 217 10 v v NOUN fumecheng-767 217 11   NOUN fumecheng-767 217 12   NOUN fumecheng-767 217 13   PROPN fumecheng-767 217 14   PROPN fumecheng-767 217 15   PROPN fumecheng-767 217 16   PUNCT fumecheng-767 217 17 ( ( PUNCT fumecheng-767 217 18 24 24 NUM fumecheng-767 217 19 ) ) PUNCT fumecheng-767 217 20 flash flash NOUN fumecheng-767 217 21 temperatures temperature NOUN fumecheng-767 217 22 generated generate VERB fumecheng-767 217 23 by by ADP fumecheng-767 217 24 friction friction NOUN fumecheng-767 217 25 of of ADP fumecheng-767 217 26 a a DET fumecheng-767 217 27 viscoelastic viscoelastic ADJ fumecheng-767 217 28 body body NOUN fumecheng-767 217 29 55 55 NUM fumecheng-767 217 30 the the DET fumecheng-767 217 31 activation activation NOUN fumecheng-767 217 32 volumes volume NOUN fumecheng-767 217 33 have have VERB fumecheng-767 217 34 the the DET fumecheng-767 217 35 order order NOUN fumecheng-767 217 36 of of ADP fumecheng-767 217 37 magnitude magnitude NOUN fumecheng-767 217 38 of of ADP fumecheng-767 217 39 an an DET fumecheng-767 217 40 atomic atomic ADJ fumecheng-767 217 41 volume volume NOUN fumecheng-767 217 42 a a DET fumecheng-767 217 43 3 3 NUM fumecheng-767 217 44 where where SCONJ fumecheng-767 217 45 a a PRON fumecheng-767 217 46 is be AUX fumecheng-767 217 47 the the DET fumecheng-767 217 48 atomic atomic ADJ fumecheng-767 217 49 radius radius NOUN fumecheng-767 217 50 . . PUNCT fumecheng-767 218 1 the the DET fumecheng-767 218 2 rate rate NOUN fumecheng-767 218 3 of of ADP fumecheng-767 218 4 shear shear ADJ fumecheng-767 218 5 deformation deformation NOUN fumecheng-767 218 6 is be AUX fumecheng-767 218 7 proportional proportional ADJ fumecheng-767 218 8 to to ADP fumecheng-767 218 9 the the DET fumecheng-767 218 10 difference difference NOUN fumecheng-767 218 11 in in ADP fumecheng-767 218 12 flow flow NOUN fumecheng-767 218 13 of of ADP fumecheng-767 218 14 the the DET fumecheng-767 218 15 molecular molecular ADJ fumecheng-767 218 16 flow flow NOUN fumecheng-767 218 17 0 0 NUM fumecheng-767 218 18 0 0 NUM fumecheng-767 218 19 0 0 NUM fumecheng-767 218 20 0 0 NUM fumecheng-767 218 21 0 0 NUM fumecheng-767 218 22 0 0 NUM fumecheng-767 218 23 1 1 NUM fumecheng-767 218 24 exp exp NOUN fumecheng-767 218 25 exp exp NOUN fumecheng-767 218 26 exp exp NOUN fumecheng-767 218 27 sinh sinh NOUN fumecheng-767 218 28 x x X fumecheng-767 218 29 s s NOUN fumecheng-767 218 30 s s PROPN fumecheng-767 218 31 o o NOUN fumecheng-767 218 32 b b PROPN fumecheng-767 218 33 b b PROPN fumecheng-767 218 34 s s PROPN fumecheng-767 218 35 b b PROPN fumecheng-767 218 36 b b X fumecheng-767 218 37 dv dv PROPN fumecheng-767 218 38 u u PROPN fumecheng-767 218 39 v v ADP fumecheng-767 218 40 u u NOUN fumecheng-767 218 41 v v ADP fumecheng-767 218 42 c c NOUN fumecheng-767 218 43 dz dz PROPN fumecheng-767 219 1 k k PROPN fumecheng-767 219 2 t t PROPN fumecheng-767 219 3 k k PROPN fumecheng-767 219 4 t t PROPN fumecheng-767 219 5 u u PROPN fumecheng-767 219 6 v v ADP fumecheng-767 219 7 c c PROPN fumecheng-767 219 8 k k PROPN fumecheng-767 219 9 t t PROPN fumecheng-767 219 10 k k PROPN fumecheng-767 219 11 t t PROPN fumecheng-767 219 12   NOUN fumecheng-767 219 13   PROPN fumecheng-767 219 14   PROPN fumecheng-767 219 15   PROPN fumecheng-767 219 16   NOUN fumecheng-767 219 17   ADV fumecheng-767 219 18   VERB fumecheng-767 220 1   PROPN fumecheng-767 220 2   PROPN fumecheng-767 220 3   VERB fumecheng-767 220 4   PROPN fumecheng-767 220 5   PROPN fumecheng-767 220 6   PROPN fumecheng-767 220 7   PROPN fumecheng-767 220 8   NOUN fumecheng-767 220 9   ADJ fumecheng-767 220 10   PROPN fumecheng-767 220 11   NOUN fumecheng-767 220 12   NOUN fumecheng-767 220 13   PROPN fumecheng-767 220 14   VERB fumecheng-767 220 15   PROPN fumecheng-767 220 16   VERB fumecheng-767 220 17   X fumecheng-767 220 18   NOUN fumecheng-767 220 19   PROPN fumecheng-767 220 20   ADJ fumecheng-767 220 21   PROPN fumecheng-767 220 22   NOUN fumecheng-767 220 23   PROPN fumecheng-767 220 24   PROPN fumecheng-767 220 25   PROPN fumecheng-767 220 26   NOUN fumecheng-767 220 27   NOUN fumecheng-767 220 28   NOUN fumecheng-767 220 29   PROPN fumecheng-767 220 30   NOUN fumecheng-767 220 31   PROPN fumecheng-767 220 32 ( ( PUNCT fumecheng-767 220 33 25 25 NUM fumecheng-767 220 34 ) ) PUNCT fumecheng-767 220 35 for for ADP fumecheng-767 220 36 some some DET fumecheng-767 220 37 ( ( PUNCT fumecheng-767 220 38 frequency frequency NOUN fumecheng-767 220 39 ) ) PUNCT fumecheng-767 220 40 constant constant ADJ fumecheng-767 220 41 c1 c1 NOUN fumecheng-767 220 42 . . PUNCT fumecheng-767 221 1 from from ADP fumecheng-767 221 2 this this DET fumecheng-767 221 3 expression expression NOUN fumecheng-767 221 4 , , PUNCT fumecheng-767 221 5 we we PRON fumecheng-767 221 6 see see VERB fumecheng-767 221 7 a a DET fumecheng-767 221 8 deviation deviation NOUN fumecheng-767 221 9 from from ADP fumecheng-767 221 10 the the DET fumecheng-767 221 11 behavior behavior NOUN fumecheng-767 221 12 of of ADP fumecheng-767 221 13 newtonian newtonian ADJ fumecheng-767 221 14 fluids fluid NOUN fumecheng-767 221 15 . . PUNCT fumecheng-767 222 1 especially especially ADV fumecheng-767 222 2 for for ADP fumecheng-767 222 3 small small ADJ fumecheng-767 222 4 shear shear NOUN fumecheng-767 222 5 stress stress NOUN fumecheng-767 222 6 , , PUNCT fumecheng-767 222 7 i.e. i.e. X fumecheng-767 222 8 sv0/(kbt)<<1 sv0/(kbt)<<1 NOUN fumecheng-767 222 9 , , PUNCT fumecheng-767 222 10 we we PRON fumecheng-767 222 11 retain retain VERB fumecheng-767 222 12 only only ADV fumecheng-767 222 13 the the DET fumecheng-767 222 14 leading lead VERB fumecheng-767 222 15 term term NOUN fumecheng-767 222 16 in in ADP fumecheng-767 222 17 the the DET fumecheng-767 222 18 taylor taylor PROPN fumecheng-767 222 19 expansion expansion NOUN fumecheng-767 222 20 . . PUNCT fumecheng-767 223 1 inverting invert VERB fumecheng-767 223 2 the the DET fumecheng-767 223 3 shear shear NOUN fumecheng-767 223 4 rate rate NOUN fumecheng-767 223 5 expression expression NOUN fumecheng-767 223 6 0 0 NUM fumecheng-767 223 7 0 0 NUM fumecheng-767 223 8 1 1 NUM fumecheng-767 223 9 expx expx PROPN fumecheng-767 223 10 s s PROPN fumecheng-767 223 11 s s PROPN fumecheng-767 223 12 b b PROPN fumecheng-767 223 13 b b X fumecheng-767 223 14 dv dv PROPN fumecheng-767 223 15 u u PROPN fumecheng-767 223 16 v v ADP fumecheng-767 223 17 c c PROPN fumecheng-767 223 18 dz dz PROPN fumecheng-767 223 19 k k PROPN fumecheng-767 223 20 t t PROPN fumecheng-767 224 1 k k PROPN fumecheng-767 224 2 t t PROPN fumecheng-767 224 3   NOUN fumecheng-767 224 4   NOUN fumecheng-767 224 5   NUM fumecheng-767 224 6   NUM fumecheng-767 224 7   PROPN fumecheng-767 224 8   NOUN fumecheng-767 224 9   PROPN fumecheng-767 224 10   PROPN fumecheng-767 224 11   NOUN fumecheng-767 224 12   PRON fumecheng-767 224 13   NOUN fumecheng-767 224 14   NOUN fumecheng-767 224 15   PROPN fumecheng-767 224 16 ( ( PUNCT fumecheng-767 224 17 26 26 NUM fumecheng-767 224 18 ) ) PUNCT fumecheng-767 224 19 we we PRON fumecheng-767 224 20 learn learn VERB fumecheng-767 224 21 that that SCONJ fumecheng-767 224 22 there there PRON fumecheng-767 224 23 exists exist VERB fumecheng-767 224 24 a a DET fumecheng-767 224 25 prefactor prefactor NOUN fumecheng-767 224 26 t t NOUN fumecheng-767 224 27 in in ADP fumecheng-767 224 28 addition addition NOUN fumecheng-767 224 29 to to ADP fumecheng-767 224 30 the the DET fumecheng-767 224 31 thermal thermal ADJ fumecheng-767 224 32 activation activation NOUN fumecheng-767 224 33 arrhenius arrhenius NOUN fumecheng-767 224 34 term term NOUN fumecheng-767 224 35 so so SCONJ fumecheng-767 224 36 that that SCONJ fumecheng-767 224 37 the the DET fumecheng-767 224 38 viscosity viscosity NOUN fumecheng-767 224 39 reads read VERB fumecheng-767 224 40 0 0 NUM fumecheng-767 224 41 1 1 NUM fumecheng-767 224 42 0 0 NUM fumecheng-767 224 43 exp exp NOUN fumecheng-767 224 44 . . PUNCT fumecheng-767 225 1 b b X fumecheng-767 225 2 b b X fumecheng-767 225 3 uk uk PROPN fumecheng-767 225 4 t t PROPN fumecheng-767 225 5 c c PROPN fumecheng-767 225 6 v v PROPN fumecheng-767 225 7 k k PROPN fumecheng-767 225 8 t t PROPN fumecheng-767 225 9   NUM fumecheng-767 225 10   PROPN fumecheng-767 225 11   NOUN fumecheng-767 225 12   PROPN fumecheng-767 225 13   NOUN fumecheng-767 225 14   NOUN fumecheng-767 225 15   NOUN fumecheng-767 225 16   PROPN fumecheng-767 225 17 ( ( PUNCT fumecheng-767 225 18 27 27 NUM fumecheng-767 225 19 ) ) PUNCT fumecheng-767 225 20 referring refer VERB fumecheng-767 225 21 to to ADP fumecheng-767 225 22 a a DET fumecheng-767 225 23 certain certain ADJ fumecheng-767 225 24 state state NOUN fumecheng-767 225 25 ( ( PUNCT fumecheng-767 225 26   CCONJ fumecheng-767 225 27 the the DET fumecheng-767 225 28 temperature temperature NOUN fumecheng-767 225 29 dependence dependence NOUN fumecheng-767 225 30 might might AUX fumecheng-767 225 31 be be AUX fumecheng-767 225 32 expressed express VERB fumecheng-767 225 33 as as ADP fumecheng-767 225 34 0 0 NUM fumecheng-767 225 35 0 0 NUM fumecheng-767 225 36 0 0 NUM fumecheng-767 225 37 0 0 NUM fumecheng-767 225 38 0 0 NUM fumecheng-767 225 39 0 0 NUM fumecheng-767 225 40 0 0 NUM fumecheng-767 225 41 0 0 NUM fumecheng-767 225 42 00 00 NUM fumecheng-767 225 43 0 0 NUM fumecheng-767 225 44 0 0 NUM fumecheng-767 225 45 0 0 NUM fumecheng-767 225 46 1 1 NUM fumecheng-767 225 47 1 1 NUM fumecheng-767 225 48 exp exp NOUN fumecheng-767 225 49 1 1 NUM fumecheng-767 225 50 1 1 NUM fumecheng-767 225 51 exp exp NOUN fumecheng-767 225 52 1 1 NUM fumecheng-767 225 53 1 1 NUM fumecheng-767 225 54 , , PUNCT fumecheng-767 225 55 1 1 NUM fumecheng-767 225 56 b b X fumecheng-767 225 57 b b PROPN fumecheng-767 225 58 b b PROPN fumecheng-767 225 59 ut ut PROPN fumecheng-767 225 60 t t PROPN fumecheng-767 226 1 k k PROPN fumecheng-767 226 2 t t PROPN fumecheng-767 226 3 t t PROPN fumecheng-767 226 4 u u PROPN fumecheng-767 226 5 ut ut PROPN fumecheng-767 226 6 t t PROPN fumecheng-767 226 7 tt tt PROPN fumecheng-767 226 8 k k PROPN fumecheng-767 226 9 t t PROPN fumecheng-767 226 10 t t PROPN fumecheng-767 226 11 k k PROPN fumecheng-767 226 12 t t PROPN fumecheng-767 226 13 t t PROPN fumecheng-767 226 14   NUM fumecheng-767 226 15   NUM fumecheng-767 226 16   NUM fumecheng-767 226 17   NUM fumecheng-767 226 18   PROPN fumecheng-767 226 19   PROPN fumecheng-767 226 20   NOUN fumecheng-767 226 21   NUM fumecheng-767 227 1   PROPN fumecheng-767 227 2   NOUN fumecheng-767 227 3   ADJ fumecheng-767 227 4   NOUN fumecheng-767 227 5   NOUN fumecheng-767 227 6   PROPN fumecheng-767 227 7   PROPN fumecheng-767 227 8   PROPN fumecheng-767 228 1   PROPN fumecheng-767 228 2   PROPN fumecheng-767 228 3   VERB fumecheng-767 228 4   VERB fumecheng-767 228 5   PROPN fumecheng-767 228 6   NOUN fumecheng-767 229 1   PROPN fumecheng-767 229 2   PROPN fumecheng-767 229 3   NOUN fumecheng-767 229 4   PROPN fumecheng-767 229 5   X fumecheng-767 229 6   NUM fumecheng-767 229 7   ADJ fumecheng-767 229 8   X fumecheng-767 229 9   PUNCT fumecheng-767 229 10   ADV fumecheng-767 229 11   PROPN fumecheng-767 229 12   NOUN fumecheng-767 229 13   PROPN fumecheng-767 229 14   PROPN fumecheng-767 229 15   NOUN fumecheng-767 230 1   PROPN fumecheng-767 230 2   PROPN fumecheng-767 230 3   NOUN fumecheng-767 231 1   PROPN fumecheng-767 231 2   NOUN fumecheng-767 231 3   NOUN fumecheng-767 231 4   NOUN fumecheng-767 231 5   PROPN fumecheng-767 231 6   PROPN fumecheng-767 231 7   PROPN fumecheng-767 232 1   PROPN fumecheng-767 232 2   PROPN fumecheng-767 232 3   NUM fumecheng-767 232 4   NOUN fumecheng-767 232 5   NOUN fumecheng-767 232 6   X fumecheng-767 232 7   PROPN fumecheng-767 232 8   PROPN fumecheng-767 232 9 ( ( PUNCT fumecheng-767 232 10 28 28 NUM fumecheng-767 232 11 ) ) PUNCT fumecheng-767 232 12 where where SCONJ fumecheng-767 232 13 . . ADJ fumecheng-767 232 14 lyashenko lyashenko NOUN fumecheng-767 232 15 et et NOUN fumecheng-767 232 16 al al PROPN fumecheng-767 232 17 . . PUNCT fumecheng-767 233 1 [ [ X fumecheng-767 233 2 22 22 NUM fumecheng-767 233 3 ] ] PUNCT fumecheng-767 233 4 claim claim NOUN fumecheng-767 233 5 that that SCONJ fumecheng-767 233 6 a a DET fumecheng-767 233 7   PROPN fumecheng-767 233 8 rise rise NOUN fumecheng-767 233 9 in in ADP fumecheng-767 233 10 the the DET fumecheng-767 233 11 temperature temperature NOUN fumecheng-767 233 12 might might AUX fumecheng-767 233 13 cause cause VERB fumecheng-767 233 14 a a DET fumecheng-767 233 15 shift shift NOUN fumecheng-767 233 16 of of ADP fumecheng-767 233 17 one one NUM fumecheng-767 233 18 decade decade NOUN fumecheng-767 233 19 in in ADP fumecheng-767 233 20 the the DET fumecheng-767 233 21 frequency frequency NOUN fumecheng-767 233 22 of of ADP fumecheng-767 233 23 the the DET fumecheng-767 233 24 viscoelastic viscoelastic NOUN fumecheng-767 233 25 spectrum spectrum NOUN fumecheng-767 233 26 . . PUNCT fumecheng-767 234 1 looking look VERB fumecheng-767 234 2 at at ADP fumecheng-767 234 3 a a DET fumecheng-767 234 4 temperature temperature NOUN fumecheng-767 234 5   PUNCT fumecheng-767 234 6 the the DET fumecheng-767 234 7 activation activation NOUN fumecheng-767 234 8 coefficient coefficient NOUN fumecheng-767 234 9 amounts amount VERB fumecheng-767 234 10 to to ADP fumecheng-767 234 11 141 141 NUM fumecheng-767 234 12 in in ADP fumecheng-767 234 13 units unit NOUN fumecheng-767 234 14 of of ADP fumecheng-767 234 15 kbt0 kbt0 PROPN fumecheng-767 234 16 . . PUNCT fumecheng-767 235 1 popov popov PROPN fumecheng-767 236 1 [ [ X fumecheng-767 236 2 21 21 NUM fumecheng-767 236 3 ] ] PUNCT fumecheng-767 236 4 says say VERB fumecheng-767 236 5 that that SCONJ fumecheng-767 236 6 an an DET fumecheng-767 236 7 increase increase NOUN fumecheng-767 236 8 of of ADP fumecheng-767 236 9 the the DET fumecheng-767 236 10 temperature temperature NOUN fumecheng-767 236 11 by by ADP fumecheng-767 236 12 30 30 NUM fumecheng-767 236 13 k k NOUN fumecheng-767 236 14 leads lead VERB fumecheng-767 236 15 to to ADP fumecheng-767 236 16 a a DET fumecheng-767 236 17 diminishing diminishing NOUN fumecheng-767 236 18 of of ADP fumecheng-767 236 19 the the DET fumecheng-767 236 20 viscosity viscosity NOUN fumecheng-767 236 21 to to ADP fumecheng-767 236 22 a a DET fumecheng-767 236 23 half half NOUN fumecheng-767 236 24 . . PUNCT fumecheng-767 237 1 this this PRON fumecheng-767 237 2 corresponds correspond VERB fumecheng-767 237 3 to to ADP fumecheng-767 237 4 an an DET fumecheng-767 237 5 activation activation NOUN fumecheng-767 237 6 energy energy NOUN fumecheng-767 237 7 of of ADP fumecheng-767 237 8 8.67 8.67 NUM fumecheng-767 237 9 in in ADP fumecheng-767 237 10 units unit NOUN fumecheng-767 237 11 of of ADP fumecheng-767 237 12 kbt0 kbt0 PROPN fumecheng-767 237 13 at at ADP fumecheng-767 237 14 . . NOUN fumecheng-767 237 15 we we PRON fumecheng-767 237 16 use use VERB fumecheng-767 237 17 the the DET fumecheng-767 237 18 latter latter ADJ fumecheng-767 237 19 value value NOUN fumecheng-767 237 20 in in ADP fumecheng-767 237 21 our our PRON fumecheng-767 237 22 calculations calculation NOUN fumecheng-767 237 23 . . PUNCT fumecheng-767 238 1 2.2 2.2 NUM fumecheng-767 238 2 . . PUNCT fumecheng-767 238 3 dissipated dissipate VERB fumecheng-767 238 4 power power NOUN fumecheng-767 238 5 the the DET fumecheng-767 238 6 temperature temperature NOUN fumecheng-767 238 7 change change NOUN fumecheng-767 238 8 originates originate NOUN fumecheng-767 238 9 from from ADP fumecheng-767 238 10 the the DET fumecheng-767 238 11 dissipated dissipate VERB fumecheng-767 238 12 power power NOUN fumecheng-767 238 13 in in ADP fumecheng-767 238 14 a a DET fumecheng-767 238 15 viscoelastic viscoelastic ADJ fumecheng-767 238 16 contact contact NOUN fumecheng-767 238 17 . . PUNCT fumecheng-767 239 1 the the DET fumecheng-767 239 2 energy energy NOUN fumecheng-767 239 3 loss loss NOUN fumecheng-767 239 4 in in ADP fumecheng-767 239 5 the the DET fumecheng-767 239 6 viscous viscous ADJ fumecheng-767 239 7 part part NOUN fumecheng-767 239 8 of of ADP fumecheng-767 239 9 the the DET fumecheng-767 239 10 element element NOUN fumecheng-767 239 11 leads lead VERB fumecheng-767 239 12 to to ADP fumecheng-767 239 13 a a DET fumecheng-767 239 14 rise rise NOUN fumecheng-767 239 15 in in ADP fumecheng-767 239 16 temperature temperature NOUN fumecheng-767 239 17 in in ADP fumecheng-767 239 18 the the DET fumecheng-767 239 19 contact contact NOUN fumecheng-767 239 20 . . PUNCT fumecheng-767 240 1 simple simple ADJ fumecheng-767 240 2 considerations consideration NOUN fumecheng-767 240 3 about about ADP fumecheng-767 240 4 the the DET fumecheng-767 240 5 heat heat NOUN fumecheng-767 240 6 flow flow NOUN fumecheng-767 240 7 ( ( PUNCT fumecheng-767 240 8 power power NOUN fumecheng-767 240 9 flow flow NOUN fumecheng-767 240 10 ) ) PUNCT fumecheng-767 240 11 in in ADP fumecheng-767 240 12 the the DET fumecheng-767 240 13 contact contact NOUN fumecheng-767 240 14 and and CCONJ fumecheng-767 240 15 bulk bulk NOUN fumecheng-767 240 16 give give VERB fumecheng-767 240 17 rise rise NOUN fumecheng-767 240 18 to to ADP fumecheng-767 240 19 a a DET fumecheng-767 240 20 temperature temperature NOUN fumecheng-767 240 21 field field NOUN fumecheng-767 240 22 in in ADP fumecheng-767 240 23 the the DET fumecheng-767 240 24 contact contact NOUN fumecheng-767 240 25 . . PUNCT fumecheng-767 241 1 in in ADP fumecheng-767 241 2 three three NUM fumecheng-767 241 3 dimensions dimension NOUN fumecheng-767 241 4 , , PUNCT fumecheng-767 241 5 heat heat NOUN fumecheng-767 241 6 flow flow NOUN fumecheng-767 241 7 q q PUNCT fumecheng-767 241 8 in in ADP fumecheng-767 241 9 an an DET fumecheng-767 241 10 isotropic isotropic ADJ fumecheng-767 241 11 continuum continuum NOUN fumecheng-767 241 12 is be AUX fumecheng-767 241 13 proportional proportional ADJ fumecheng-767 241 14 to to ADP fumecheng-767 241 15 the the DET fumecheng-767 241 16 temperature temperature NOUN fumecheng-767 241 17 gradient gradient NOUN fumecheng-767 241 18 of of ADP fumecheng-767 241 19 temperature temperature NOUN fumecheng-767 241 20 field field NOUN fumecheng-767 241 21 t t PROPN fumecheng-767 241 22 56 56 NUM fumecheng-767 241 23 r. r. PROPN fumecheng-767 241 24 heise heise PROPN fumecheng-767 241 25 , , PUNCT fumecheng-767 241 26 t t PROPN fumecheng-767 241 27 q q NOUN fumecheng-767 241 28 ( ( PUNCT fumecheng-767 241 29 29 29 NUM fumecheng-767 241 30 ) ) PUNCT fumecheng-767 241 31 according accord VERB fumecheng-767 241 32 to to ADP fumecheng-767 241 33 the the DET fumecheng-767 241 34 fourier fourier ADJ fumecheng-767 241 35 law law NOUN fumecheng-767 241 36 . . PUNCT fumecheng-767 242 1 proportionality proportionality NOUN fumecheng-767 242 2 constant constant ADJ fumecheng-767 242 3   NOUN fumecheng-767 242 4 is be AUX fumecheng-767 242 5 the the DET fumecheng-767 242 6 specific specific ADJ fumecheng-767 242 7 thermal thermal ADJ fumecheng-767 242 8 conductivity conductivity NOUN fumecheng-767 242 9 . . PUNCT fumecheng-767 243 1 the the DET fumecheng-767 243 2 rate rate NOUN fumecheng-767 243 3 of of ADP fumecheng-767 243 4 change change NOUN fumecheng-767 243 5 of of ADP fumecheng-767 243 6 the the DET fumecheng-767 243 7 temperature temperature NOUN fumecheng-767 243 8 field field NOUN fumecheng-767 243 9 is be AUX fumecheng-767 243 10 governed govern VERB fumecheng-767 243 11 by by ADP fumecheng-767 243 12 the the DET fumecheng-767 243 13 convection convection NOUN fumecheng-767 243 14 - - PUNCT fumecheng-767 243 15 diffusion diffusion NOUN fumecheng-767 243 16 equation equation NOUN fumecheng-767 243 17 · · PUNCT fumecheng-767 243 18 · · PUNCT fumecheng-767 244 1 t t X fumecheng-767 244 2 c c NOUN fumecheng-767 244 3 c c NOUN fumecheng-767 244 4 t t PROPN fumecheng-767 244 5 r r NOUN fumecheng-767 244 6 t t PROPN fumecheng-767 244 7   NOUN fumecheng-767 244 8   ADP fumecheng-767 244 9   ADJ fumecheng-767 244 10   PROPN fumecheng-767 244 11   PROPN fumecheng-767 244 12   PROPN fumecheng-767 244 13   NOUN fumecheng-767 244 14   PUNCT fumecheng-767 244 15   PROPN fumecheng-767 244 16 q q PROPN fumecheng-767 244 17 v v NOUN fumecheng-767 244 18 ( ( PUNCT fumecheng-767 244 19 30 30 NUM fumecheng-767 244 20 ) ) PUNCT fumecheng-767 244 21 for for ADP fumecheng-767 244 22 a a DET fumecheng-767 244 23 medium medium NOUN fumecheng-767 244 24 of of ADP fumecheng-767 244 25 density density NOUN fumecheng-767 244 26   NOUN fumecheng-767 244 27 and and CCONJ fumecheng-767 244 28 specific specific ADJ fumecheng-767 244 29 heat heat NOUN fumecheng-767 244 30 capacity capacity NOUN fumecheng-767 244 31 c. c. NOUN fumecheng-767 244 32 the the DET fumecheng-767 244 33 temporal temporal ADJ fumecheng-767 244 34 change change NOUN fumecheng-767 244 35 in in ADP fumecheng-767 244 36 temperature temperature NOUN fumecheng-767 244 37 is be AUX fumecheng-767 244 38 due due ADJ fumecheng-767 244 39 to to ADP fumecheng-767 244 40 the the DET fumecheng-767 244 41 divergence divergence NOUN fumecheng-767 244 42 of of ADP fumecheng-767 244 43 the the DET fumecheng-767 244 44 heat heat NOUN fumecheng-767 244 45 flow flow NOUN fumecheng-767 244 46 , , PUNCT fumecheng-767 244 47 a a DET fumecheng-767 244 48 convective convective ADJ fumecheng-767 244 49 term term NOUN fumecheng-767 244 50 due due ADP fumecheng-767 244 51 to to ADP fumecheng-767 244 52 the the DET fumecheng-767 244 53 motion motion NOUN fumecheng-767 244 54 of of ADP fumecheng-767 244 55 the the DET fumecheng-767 244 56 source source NOUN fumecheng-767 244 57 , , PUNCT fumecheng-767 244 58 and and CCONJ fumecheng-767 244 59 the the DET fumecheng-767 244 60 heat heat NOUN fumecheng-767 244 61 generation generation NOUN fumecheng-767 244 62 from from ADP fumecheng-767 244 63 a a DET fumecheng-767 244 64 source source NOUN fumecheng-767 244 65 r. r. NOUN fumecheng-767 244 66 including include VERB fumecheng-767 244 67 the the DET fumecheng-767 244 68 fourier fourier ADJ fumecheng-767 244 69 equation equation NOUN fumecheng-767 244 70 ( ( PUNCT fumecheng-767 244 71 29 29 NUM fumecheng-767 244 72 ) ) PUNCT fumecheng-767 244 73 the the DET fumecheng-767 244 74 rate rate NOUN fumecheng-767 244 75 of of ADP fumecheng-767 244 76 change change NOUN fumecheng-767 244 77 of of ADP fumecheng-767 244 78 the the DET fumecheng-767 244 79 temperature temperature NOUN fumecheng-767 244 80 for for ADP fumecheng-767 244 81 source source NOUN fumecheng-767 244 82 free free ADJ fumecheng-767 244 83 materials material NOUN fumecheng-767 244 84 is be AUX fumecheng-767 244 85 then then ADV fumecheng-767 244 86 described describe VERB fumecheng-767 244 87 by by ADP fumecheng-767 244 88 the the DET fumecheng-767 244 89 heat heat NOUN fumecheng-767 244 90 exchange exchange NOUN fumecheng-767 244 91 equation equation NOUN fumecheng-767 244 92 2 2 NUM fumecheng-767 244 93 · · PUNCT fumecheng-767 244 94 · · PUNCT fumecheng-767 244 95 · · PUNCT fumecheng-767 244 96 . . PUNCT fumecheng-767 245 1 t t PROPN fumecheng-767 245 2 c c PROPN fumecheng-767 245 3 c c PROPN fumecheng-767 245 4 t t PROPN fumecheng-767 245 5 t t PROPN fumecheng-767 245 6 c c PROPN fumecheng-767 245 7 t t PROPN fumecheng-767 245 8 t t PROPN fumecheng-767 245 9   ADP fumecheng-767 245 10   ADP fumecheng-767 245 11   X fumecheng-767 245 12   ADP fumecheng-767 245 13   ADJ fumecheng-767 245 14   PROPN fumecheng-767 245 15   PROPN fumecheng-767 245 16   NOUN fumecheng-767 245 17   NOUN fumecheng-767 245 18   NUM fumecheng-767 245 19   NOUN fumecheng-767 245 20   NOUN fumecheng-767 245 21   ADP fumecheng-767 245 22   PROPN fumecheng-767 245 23 q q PROPN fumecheng-767 245 24 v v PROPN fumecheng-767 245 25 v v NOUN fumecheng-767 245 26 ( ( PUNCT fumecheng-767 245 27 31 31 NUM fumecheng-767 245 28 ) ) PUNCT fumecheng-767 245 29 for for ADP fumecheng-767 245 30 a a DET fumecheng-767 245 31 stationary stationary ADJ fumecheng-767 245 32 situation situation NOUN fumecheng-767 245 33 the the DET fumecheng-767 245 34 time time NOUN fumecheng-767 245 35 derivative derivative ADJ fumecheng-767 245 36 vanishes vanish VERB fumecheng-767 245 37 . . PUNCT fumecheng-767 246 1 assuming assume VERB fumecheng-767 246 2 a a DET fumecheng-767 246 3 motion motion NOUN fumecheng-767 246 4 in in ADP fumecheng-767 246 5 x x PART fumecheng-767 246 6 direction direction NOUN fumecheng-767 246 7 with with ADP fumecheng-767 246 8 velocity velocity NOUN fumecheng-767 246 9 v0 v0 NOUN fumecheng-767 246 10 , , PUNCT fumecheng-767 246 11 i.e. i.e. X fumecheng-767 246 12 v v NOUN fumecheng-767 246 13 = = SYM fumecheng-767 246 14 ( ( PUNCT fumecheng-767 246 15 v0,0,0),we v0,0,0),we X fumecheng-767 246 16 obtain obtain VERB fumecheng-767 246 17 an an DET fumecheng-767 246 18 equation equation NOUN fumecheng-767 246 19 for for ADP fumecheng-767 246 20 the the DET fumecheng-767 246 21 temperature temperature NOUN fumecheng-767 246 22 field field NOUN fumecheng-767 246 23 2 2 NUM fumecheng-767 246 24 0 0 NUM fumecheng-767 246 25 , , PUNCT fumecheng-767 246 26 x x PROPN fumecheng-767 246 27 v v ADP fumecheng-767 246 28 t t X fumecheng-767 246 29 t t NOUN fumecheng-767 246 30   X fumecheng-767 246 31   PROPN fumecheng-767 246 32   PROPN fumecheng-767 246 33   ADJ fumecheng-767 246 34 ( ( PUNCT fumecheng-767 246 35 32 32 NUM fumecheng-767 246 36 ) ) PUNCT fumecheng-767 246 37 where where SCONJ fumecheng-767 246 38   X fumecheng-767 246 39   PRON fumecheng-767 246 40 c c NOUN fumecheng-767 246 41 ) ) PUNCT fumecheng-767 246 42 is be AUX fumecheng-767 246 43 the the DET fumecheng-767 246 44 thermal thermal ADJ fumecheng-767 246 45 conductance conductance NOUN fumecheng-767 246 46 and and CCONJ fumecheng-767 246 47 2 2 NUM fumecheng-767 246 48 is be AUX fumecheng-767 246 49 the the DET fumecheng-767 246 50 laplace laplace NOUN fumecheng-767 246 51 operator operator NOUN fumecheng-767 246 52 . . PUNCT fumecheng-767 247 1 its its PRON fumecheng-767 247 2 solution solution NOUN fumecheng-767 247 3 consists consist VERB fumecheng-767 247 4 of of ADP fumecheng-767 247 5 a a DET fumecheng-767 247 6 factor factor NOUN fumecheng-767 247 7 that that PRON fumecheng-767 247 8 stems stem VERB fumecheng-767 247 9 from from ADP fumecheng-767 247 10 the the DET fumecheng-767 247 11 fundamental fundamental ADJ fumecheng-767 247 12 solution solution NOUN fumecheng-767 247 13 and and CCONJ fumecheng-767 247 14 a a DET fumecheng-767 247 15 factor factor NOUN fumecheng-767 247 16 describing describe VERB fumecheng-767 247 17 the the DET fumecheng-767 247 18 motion motion NOUN fumecheng-767 247 19 0 0 PUNCT fumecheng-767 248 1 ( ( PUNCT fumecheng-767 248 2 | | ADV fumecheng-767 248 3 | | ADV fumecheng-767 248 4 ) ) PUNCT fumecheng-767 248 5 2 2 NUM fumecheng-767 248 6 for for ADP fumecheng-767 248 7 ( ( PUNCT fumecheng-767 248 8 , , PUNCT fumecheng-767 248 9 , , PUNCT fumecheng-767 248 10 ) ) PUNCT fumecheng-767 248 11 , , PUNCT fumecheng-767 248 12 2 2 NUM fumecheng-767 248 13 | | ADV fumecheng-767 248 14 | | ADV fumecheng-767 248 15 v v ADP fumecheng-767 248 16 xq xq PROPN fumecheng-767 248 17 t t PROPN fumecheng-767 248 18 e e PROPN fumecheng-767 248 19 x x X fumecheng-767 248 20 y y PROPN fumecheng-767 248 21 z z PROPN fumecheng-767 248 22   PUNCT fumecheng-767 248 23   VERB fumecheng-767 248 24   VERB fumecheng-767 248 25   PRON fumecheng-767 249 1   NOUN fumecheng-767 249 2 x x NOUN fumecheng-767 249 3 x x SYM fumecheng-767 249 4 x x SYM fumecheng-767 249 5 ( ( PUNCT fumecheng-767 249 6 33 33 NUM fumecheng-767 249 7 ) ) PUNCT fumecheng-767 249 8 where where SCONJ fumecheng-767 249 9 q q NOUN fumecheng-767 249 10 is be AUX fumecheng-767 249 11 a a DET fumecheng-767 249 12 point point NOUN fumecheng-767 249 13 source source NOUN fumecheng-767 249 14 at at ADP fumecheng-767 249 15 x x X fumecheng-767 249 16 = = NOUN fumecheng-767 249 17 0 0 PROPN fumecheng-767 249 18 . . PUNCT fumecheng-767 250 1 this this DET fumecheng-767 250 2 solution solution NOUN fumecheng-767 250 3 simplifies simplifie NOUN fumecheng-767 250 4 to to ADP fumecheng-767 250 5 the the DET fumecheng-767 250 6 original original ADJ fumecheng-767 250 7 fundamental fundamental ADJ fumecheng-767 250 8 solution solution NOUN fumecheng-767 250 9 of of ADP fumecheng-767 250 10 the the DET fumecheng-767 250 11 homogeneous homogeneous ADJ fumecheng-767 250 12 laplace laplace NOUN fumecheng-767 250 13 equation equation NOUN fumecheng-767 250 14 if if SCONJ fumecheng-767 250 15 the the DET fumecheng-767 250 16 exponent exponent NOUN fumecheng-767 250 17 factor factor NOUN fumecheng-767 250 18 is be AUX fumecheng-767 250 19 close close ADJ fumecheng-767 250 20 to to ADP fumecheng-767 250 21 unity unity NOUN fumecheng-767 250 22 , , PUNCT fumecheng-767 250 23 i.e. i.e. X fumecheng-767 250 24 we we PRON fumecheng-767 250 25 get get VERB fumecheng-767 250 26 a a DET fumecheng-767 250 27 constraint constraint NOUN fumecheng-767 250 28 on on ADP fumecheng-767 250 29 the the DET fumecheng-767 250 30 velocity velocity NOUN fumecheng-767 250 31 0 0 NUM fumecheng-767 250 32 1 1 NUM fumecheng-767 250 33 2 2 NUM fumecheng-767 250 34 v v ADP fumecheng-767 250 35 dx dx PROPN fumecheng-767 250 36   X fumecheng-767 250 37   X fumecheng-767 250 38 ( ( PUNCT fumecheng-767 250 39 34 34 NUM fumecheng-767 250 40 ) ) PUNCT fumecheng-767 250 41 for for ADP fumecheng-767 250 42 characteristic characteristic ADJ fumecheng-767 250 43 length length NOUN fumecheng-767 250 44 dx dx PROPN fumecheng-767 250 45 . . PUNCT fumecheng-767 251 1 especially especially ADV fumecheng-767 251 2 , , PUNCT fumecheng-767 251 3 at at ADP fumecheng-767 251 4 the the DET fumecheng-767 251 5 surface surface NOUN fumecheng-767 251 6 of of ADP fumecheng-767 251 7 the the DET fumecheng-767 251 8 half half ADJ fumecheng-767 251 9 - - PUNCT fumecheng-767 251 10 space space NOUN fumecheng-767 251 11 z z NOUN fumecheng-767 251 12 = = SYM fumecheng-767 251 13 0 0 NOUN fumecheng-767 252 1 the the DET fumecheng-767 252 2 solution solution NOUN fumecheng-767 252 3 is be AUX fumecheng-767 252 4 2 2 NUM fumecheng-767 252 5 2fo 2fo NOUN fumecheng-767 252 6 r r NOUN fumecheng-767 252 7 , , PUNCT fumecheng-767 252 8 2 2 NUM fumecheng-767 252 9 q q NOUN fumecheng-767 252 10 t t NOUN fumecheng-767 252 11 r r NOUN fumecheng-767 252 12 x x SYM fumecheng-767 252 13 y y NOUN fumecheng-767 252 14 r r NOUN fumecheng-767 252 15   NUM fumecheng-767 252 16   NUM fumecheng-767 252 17   ADJ fumecheng-767 252 18   PROPN fumecheng-767 252 19   PUNCT fumecheng-767 252 20 ( ( PUNCT fumecheng-767 252 21 35 35 NUM fumecheng-767 252 22 ) ) PUNCT fumecheng-767 252 23 for for ADP fumecheng-767 252 24 point point NOUN fumecheng-767 252 25 - - PUNCT fumecheng-767 252 26 like like ADJ fumecheng-767 252 27 source source NOUN fumecheng-767 252 28 q. q. NOUN fumecheng-767 252 29 if if SCONJ fumecheng-767 252 30 one one PRON fumecheng-767 252 31 considers consider VERB fumecheng-767 252 32 a a DET fumecheng-767 252 33 smeared smear VERB fumecheng-767 252 34 - - PUNCT fumecheng-767 252 35 out out ADP fumecheng-767 252 36 source source NOUN fumecheng-767 252 37 a a DET fumecheng-767 252 38 distribution distribution NOUN fumecheng-767 252 39 0 0 NUM fumecheng-767 252 40 2 2 NUM fumecheng-767 252 41 | | ADV fumecheng-767 253 1 | | ADV fumecheng-767 253 2 , , PUNCT fumecheng-767 253 3 1 1 NUM fumecheng-767 253 4 q q NOUN fumecheng-767 253 5 r r NOUN fumecheng-767 253 6 a a DET fumecheng-767 253 7 r r NOUN fumecheng-767 253 8 a a DET fumecheng-767 253 9   PROPN fumecheng-767 253 10   PROPN fumecheng-767 253 11   NOUN fumecheng-767 253 12   NOUN fumecheng-767 253 13   PROPN fumecheng-767 253 14   PROPN fumecheng-767 253 15   PROPN fumecheng-767 254 1   PROPN fumecheng-767 254 2   PROPN fumecheng-767 254 3 q q NOUN fumecheng-767 254 4 ( ( PUNCT fumecheng-767 254 5 36 36 NUM fumecheng-767 254 6 ) ) PUNCT fumecheng-767 254 7 leads lead VERB fumecheng-767 254 8 to to ADP fumecheng-767 254 9 an an DET fumecheng-767 254 10 isothermal isothermal ADJ fumecheng-767 254 11 plane plane NOUN fumecheng-767 254 12 at at ADP fumecheng-767 254 13 z z PROPN fumecheng-767 254 14 = = SYM fumecheng-767 254 15 0 0 PROPN fumecheng-767 254 16 . . PUNCT fumecheng-767 255 1 this this PRON fumecheng-767 255 2 is be AUX fumecheng-767 255 3 the the DET fumecheng-767 255 4 situation situation NOUN fumecheng-767 255 5 that that PRON fumecheng-767 255 6 occurs occur VERB fumecheng-767 255 7 if if SCONJ fumecheng-767 255 8 two two NUM fumecheng-767 255 9 half half ADJ fumecheng-767 255 10 - - PUNCT fumecheng-767 255 11 spaces space NOUN fumecheng-767 255 12 are be AUX fumecheng-767 255 13 in in ADP fumecheng-767 255 14 thermal thermal ADJ fumecheng-767 255 15 contact contact NOUN fumecheng-767 255 16 through through ADP fumecheng-767 255 17 a a DET fumecheng-767 255 18 circular circular ADJ fumecheng-767 255 19 contact contact NOUN fumecheng-767 255 20 area area NOUN fumecheng-767 255 21 of of ADP fumecheng-767 255 22 radius radius NOUN fumecheng-767 255 23 a a PRON fumecheng-767 255 24 in in ADP fumecheng-767 255 25 ideal ideal ADJ fumecheng-767 255 26 contact contact NOUN fumecheng-767 255 27 . . PUNCT fumecheng-767 256 1 then then ADV fumecheng-767 256 2 the the DET fumecheng-767 256 3 flash flash NOUN fumecheng-767 256 4 temperatures temperature NOUN fumecheng-767 256 5 generated generate VERB fumecheng-767 256 6 by by ADP fumecheng-767 256 7 friction friction NOUN fumecheng-767 256 8 of of ADP fumecheng-767 256 9 a a DET fumecheng-767 256 10 viscoelastic viscoelastic ADJ fumecheng-767 256 11 body body NOUN fumecheng-767 256 12 57 57 NUM fumecheng-767 256 13 relationship relationship NOUN fumecheng-767 256 14 between between ADP fumecheng-767 256 15 the the DET fumecheng-767 256 16 temperature temperature NOUN fumecheng-767 256 17 difference difference NOUN fumecheng-767 256 18 between between ADP fumecheng-767 256 19 the the DET fumecheng-767 256 20 half half ADJ fumecheng-767 256 21 - - PUNCT fumecheng-767 256 22 spaces space NOUN fumecheng-767 256 23 at at ADP fumecheng-767 256 24 infinite infinite ADJ fumecheng-767 256 25 distance distance NOUN fumecheng-767 256 26 from from ADP fumecheng-767 256 27 the the DET fumecheng-767 256 28 contact contact NOUN fumecheng-767 256 29 t t PUNCT fumecheng-767 256 30 and and CCONJ fumecheng-767 256 31 entire entire ADJ fumecheng-767 256 32 heat heat NOUN fumecheng-767 256 33 flow flow NOUN fumecheng-767 256 34 q q PUNCT fumecheng-767 256 35 through through ADP fumecheng-767 256 36 the the DET fumecheng-767 256 37 passage passage NOUN fumecheng-767 256 38 is be AUX fumecheng-767 256 39 given give VERB fumecheng-767 256 40 by by ADP fumecheng-767 256 41 * * PROPN fumecheng-767 256 42 4 4 NUM fumecheng-767 256 43 , , PUNCT fumecheng-767 256 44 q q PROPN fumecheng-767 256 45 a a DET fumecheng-767 256 46 t t PROPN fumecheng-767 256 47   PROPN fumecheng-767 256 48 ( ( PUNCT fumecheng-767 256 49 37 37 NUM fumecheng-767 256 50 ) ) PUNCT fumecheng-767 256 51 where where SCONJ fumecheng-767 256 52   NOUN fumecheng-767 256 53 is be AUX fumecheng-767 256 54 the the DET fumecheng-767 256 55 harmonic harmonic ADJ fumecheng-767 256 56 mean mean NOUN fumecheng-767 256 57 of of ADP fumecheng-767 256 58 the the DET fumecheng-767 256 59 specific specific ADJ fumecheng-767 256 60 thermal thermal ADJ fumecheng-767 256 61 conductivities conductivity NOUN fumecheng-767 256 62 of of ADP fumecheng-767 256 63 the the DET fumecheng-767 256 64 half half ADJ fumecheng-767 256 65 - - PUNCT fumecheng-767 256 66 spaces space NOUN fumecheng-767 256 67 1/. 1/. NUM fumecheng-767 256 68 this this DET fumecheng-767 256 69 picture picture NOUN fumecheng-767 256 70 is be AUX fumecheng-767 256 71 in in ADP fumecheng-767 256 72 accordance accordance NOUN fumecheng-767 256 73 with with ADP fumecheng-767 256 74 a a DET fumecheng-767 256 75 normal normal ADJ fumecheng-767 256 76 pressure pressure NOUN fumecheng-767 256 77 distribution distribution NOUN fumecheng-767 256 78 loading load VERB fumecheng-767 256 79 an an DET fumecheng-767 256 80 elastic elastic ADJ fumecheng-767 256 81 half half ADJ fumecheng-767 256 82 - - PUNCT fumecheng-767 256 83 space space NOUN fumecheng-767 256 84 and and CCONJ fumecheng-767 256 85 leading lead VERB fumecheng-767 256 86 to to ADP fumecheng-767 256 87 a a DET fumecheng-767 256 88 constant constant ADJ fumecheng-767 256 89 strain strain NOUN fumecheng-767 256 90 . . PUNCT fumecheng-767 257 1 turning turn VERB fumecheng-767 257 2 to to ADP fumecheng-767 257 3 a a DET fumecheng-767 257 4 description description NOUN fumecheng-767 257 5 in in ADP fumecheng-767 257 6 the the DET fumecheng-767 257 7 one one NUM fumecheng-767 257 8 - - PUNCT fumecheng-767 257 9 dimensional dimensional ADJ fumecheng-767 257 10 substitute substitute NOUN fumecheng-767 257 11 system system NOUN fumecheng-767 257 12 we we PRON fumecheng-767 257 13 consider consider VERB fumecheng-767 257 14 the the DET fumecheng-767 257 15 surface surface NOUN fumecheng-767 257 16 as as ADP fumecheng-767 257 17 independent independent ADJ fumecheng-767 257 18 element element NOUN fumecheng-767 257 19 in in ADP fumecheng-767 257 20 a a DET fumecheng-767 257 21 winkler winkler NOUN fumecheng-767 257 22 foundation foundation NOUN fumecheng-767 257 23 . . PUNCT fumecheng-767 258 1 the the DET fumecheng-767 258 2 thermal thermal ADJ fumecheng-767 258 3 conductivity conductivity NOUN fumecheng-767 258 4 of of ADP fumecheng-767 258 5 a a DET fumecheng-767 258 6 single single ADJ fumecheng-767 258 7 such such ADJ fumecheng-767 258 8 element element NOUN fumecheng-767 258 9 is be AUX fumecheng-767 258 10 expressed express VERB fumecheng-767 258 11 as as ADP fumecheng-767 258 12 * * PUNCT fumecheng-767 258 13 . . PUNCT fumecheng-767 258 14 2 2 NUM fumecheng-767 258 15 dx dx NOUN fumecheng-767 258 16   PROPN fumecheng-767 258 17 ( ( PUNCT fumecheng-767 258 18 38 38 NUM fumecheng-767 258 19 ) ) PUNCT fumecheng-767 258 20 through through ADP fumecheng-767 258 21 a a DET fumecheng-767 258 22 passage passage NOUN fumecheng-767 258 23 of of ADP fumecheng-767 258 24 length length NOUN fumecheng-767 258 25 2a 2a NUM fumecheng-767 258 26 , , PUNCT fumecheng-767 258 27 the the DET fumecheng-767 258 28 amount amount NOUN fumecheng-767 258 29 of of ADP fumecheng-767 258 30 * * PUNCT fumecheng-767 258 31 * * PUNCT fumecheng-767 258 32 2 2 NUM fumecheng-767 258 33 4 4 NUM fumecheng-767 258 34 a a DET fumecheng-767 258 35 a a DET fumecheng-767 258 36 a a DET fumecheng-767 258 37 a a DET fumecheng-767 258 38 q q X fumecheng-767 258 39 jdx jdx PROPN fumecheng-767 258 40 tdx tdx PROPN fumecheng-767 258 41 a a DET fumecheng-767 258 42 t t PROPN fumecheng-767 258 43   NUM fumecheng-767 258 44   ADJ fumecheng-767 258 45   PROPN fumecheng-767 258 46   PROPN fumecheng-767 258 47   NOUN fumecheng-767 258 48   NOUN fumecheng-767 258 49   NOUN fumecheng-767 258 50   NOUN fumecheng-767 258 51   PROPN fumecheng-767 258 52   PUNCT fumecheng-767 258 53 ( ( PUNCT fumecheng-767 258 54 39 39 NUM fumecheng-767 258 55 ) ) PUNCT fumecheng-767 258 56 flows flow VERB fumecheng-767 258 57 in in ADP fumecheng-767 258 58 accordance accordance NOUN fumecheng-767 258 59 with with ADP fumecheng-767 258 60 the the DET fumecheng-767 258 61 three three NUM fumecheng-767 258 62 - - PUNCT fumecheng-767 258 63 dimensional dimensional ADJ fumecheng-767 258 64 result result NOUN fumecheng-767 258 65 eq eq ADP fumecheng-767 258 66 . . PUNCT fumecheng-767 259 1 ( ( PUNCT fumecheng-767 259 2 37 37 NUM fumecheng-767 259 3 ) ) PUNCT fumecheng-767 259 4 . . PUNCT fumecheng-767 260 1 the the DET fumecheng-767 260 2 heat heat NOUN fumecheng-767 260 3 current current NOUN fumecheng-767 260 4 through through ADP fumecheng-767 260 5 every every DET fumecheng-767 260 6 element element NOUN fumecheng-767 260 7 j j PROPN fumecheng-767 260 8 is be AUX fumecheng-767 260 9 related relate VERB fumecheng-767 260 10 to to ADP fumecheng-767 260 11 q q ADJ fumecheng-767 260 12 and and CCONJ fumecheng-767 260 13 to to ADP fumecheng-767 260 14 the the DET fumecheng-767 260 15 temperature temperature NOUN fumecheng-767 260 16 difference difference NOUN fumecheng-767 260 17 via via ADP fumecheng-767 260 18 * * NOUN fumecheng-767 260 19 2 2 NUM fumecheng-767 260 20 . . PUNCT fumecheng-767 261 1 q q PUNCT fumecheng-767 262 1 j j PROPN fumecheng-767 262 2 t t PROPN fumecheng-767 262 3 dx dx PROPN fumecheng-767 262 4   PROPN fumecheng-767 262 5   NUM fumecheng-767 262 6   NOUN fumecheng-767 262 7   NUM fumecheng-767 262 8   NOUN fumecheng-767 262 9 ( ( PUNCT fumecheng-767 262 10 40 40 NUM fumecheng-767 262 11 ) ) PUNCT fumecheng-767 262 12 the the DET fumecheng-767 262 13 heat heat NOUN fumecheng-767 262 14 flow flow NOUN fumecheng-767 262 15 in in ADP fumecheng-767 262 16 single single ADJ fumecheng-767 262 17 element element NOUN fumecheng-767 262 18 of of ADP fumecheng-767 262 19 the the DET fumecheng-767 262 20 winkler winkler PROPN fumecheng-767 262 21 foundation foundation PROPN fumecheng-767 262 22 is be AUX fumecheng-767 262 23 then then ADV fumecheng-767 262 24 given give VERB fumecheng-767 262 25 by by ADP fumecheng-767 262 26 * * PROPN fumecheng-767 262 27 2 2 NUM fumecheng-767 262 28 .p .p NOUN fumecheng-767 262 29 tdx tdx NOUN fumecheng-767 262 30   NOUN fumecheng-767 262 31 ( ( PUNCT fumecheng-767 262 32 41 41 NUM fumecheng-767 262 33 ) ) PUNCT fumecheng-767 262 34 reversing reverse VERB fumecheng-767 262 35 this this DET fumecheng-767 262 36 relation relation NOUN fumecheng-767 262 37 we we PRON fumecheng-767 262 38 obtain obtain VERB fumecheng-767 262 39 for for ADP fumecheng-767 262 40 the the DET fumecheng-767 262 41 temperature temperature NOUN fumecheng-767 262 42 change change NOUN fumecheng-767 262 43 in in ADP fumecheng-767 262 44 one one NUM fumecheng-767 262 45 - - PUNCT fumecheng-767 262 46 dimensional dimensional ADJ fumecheng-767 262 47 substitute substitute NOUN fumecheng-767 262 48 model model NOUN fumecheng-767 262 49 * * PUNCT fumecheng-767 262 50 . . PUNCT fumecheng-767 263 1 2 2 NUM fumecheng-767 263 2 p p NOUN fumecheng-767 263 3 t t X fumecheng-767 263 4 dx dx PROPN fumecheng-767 263 5   PROPN fumecheng-767 263 6   ADJ fumecheng-767 263 7   PROPN fumecheng-767 263 8 ( ( PUNCT fumecheng-767 263 9 42 42 NUM fumecheng-767 263 10 ) ) PUNCT fumecheng-767 263 11 for for ADP fumecheng-767 263 12 the the DET fumecheng-767 263 13 kelvin kelvin PROPN fumecheng-767 263 14 model model NOUN fumecheng-767 263 15 in in ADP fumecheng-767 263 16 a a DET fumecheng-767 263 17 one one NUM fumecheng-767 263 18 - - PUNCT fumecheng-767 263 19 dimensional dimensional ADJ fumecheng-767 263 20 winkler winkler NOUN fumecheng-767 263 21 foundation foundation NOUN fumecheng-767 263 22 , , PUNCT fumecheng-767 263 23 the the DET fumecheng-767 263 24 force force NOUN fumecheng-767 263 25 exerted exert VERB fumecheng-767 263 26 in in ADP fumecheng-767 263 27 one one NUM fumecheng-767 263 28 site site NOUN fumecheng-767 263 29 in in ADP fumecheng-767 263 30 contact contact NOUN fumecheng-767 263 31 is be AUX fumecheng-767 263 32 given give VERB fumecheng-767 263 33 by by ADP fumecheng-767 263 34 eq eq PROPN fumecheng-767 263 35 . . PUNCT fumecheng-767 264 1 ( ( PUNCT fumecheng-767 264 2 13 13 NUM fumecheng-767 264 3 ) ) PUNCT fumecheng-767 264 4 . . PUNCT fumecheng-767 265 1 the the DET fumecheng-767 265 2 power power NOUN fumecheng-767 265 3 dissipated dissipate VERB fumecheng-767 265 4 in in ADP fumecheng-767 265 5 the the DET fumecheng-767 265 6 contact contact NOUN fumecheng-767 265 7 amounts amount VERB fumecheng-767 265 8 to to ADP fumecheng-767 265 9 ( ( PUNCT fumecheng-767 265 10 ) ) PUNCT fumecheng-767 265 11 .j .j PROPN fumecheng-767 266 1 j j PROPN fumecheng-767 267 1 j j PROPN fumecheng-767 267 2 j j PROPN fumecheng-767 267 3 j j PROPN fumecheng-767 268 1 j j PROPN fumecheng-767 268 2 jp jp INTJ fumecheng-767 268 3 f f PROPN fumecheng-767 268 4 u u PROPN fumecheng-767 268 5 k k PROPN fumecheng-767 268 6 u u X fumecheng-767 268 7 u u NOUN fumecheng-767 268 8 u u ADJ fumecheng-767 268 9   PROPN fumecheng-767 268 10   PROPN fumecheng-767 268 11   PUNCT fumecheng-767 268 12 ( ( PUNCT fumecheng-767 268 13 43 43 NUM fumecheng-767 268 14 ) ) PUNCT fumecheng-767 268 15 in in ADP fumecheng-767 268 16 non non ADJ fumecheng-767 268 17 - - ADJ fumecheng-767 268 18 contact contact ADJ fumecheng-767 268 19 sites site NOUN fumecheng-767 268 20 , , PUNCT fumecheng-767 268 21 microscopically microscopically NOUN fumecheng-767 268 22 energy energy NOUN fumecheng-767 268 23 is be AUX fumecheng-767 268 24 dissipated dissipate VERB fumecheng-767 268 25 through through ADP fumecheng-767 268 26 the the DET fumecheng-767 268 27 relaxation relaxation NOUN fumecheng-767 268 28 of of ADP fumecheng-767 268 29 the the DET fumecheng-767 268 30 kelvin kelvin PROPN fumecheng-767 268 31 element element NOUN fumecheng-767 268 32 . . PUNCT fumecheng-767 269 1 the the DET fumecheng-767 269 2 spring spring NOUN fumecheng-767 269 3 exerts exert VERB fumecheng-767 269 4 a a DET fumecheng-767 269 5 force force NOUN fumecheng-767 269 6 on on ADP fumecheng-767 269 7 the the DET fumecheng-767 269 8 damper damper NOUN fumecheng-767 269 9 during during ADP fumecheng-767 269 10 relaxation relaxation NOUN fumecheng-767 269 11 . . PUNCT fumecheng-767 270 1 the the DET fumecheng-767 270 2 power power NOUN fumecheng-767 270 3 dissipated dissipate VERB fumecheng-767 270 4 in in ADP fumecheng-767 270 5 the the DET fumecheng-767 270 6 element element NOUN fumecheng-767 270 7 equals equal VERB fumecheng-767 270 8 the the DET fumecheng-767 270 9 difference difference NOUN fumecheng-767 270 10 of of ADP fumecheng-767 270 11 the the DET fumecheng-767 270 12 mechanical mechanical ADJ fumecheng-767 270 13 energy energy NOUN fumecheng-767 270 14 stored store VERB fumecheng-767 270 15 in in ADP fumecheng-767 270 16 the the DET fumecheng-767 270 17 spring spring NOUN fumecheng-767 270 18 2 2 NUM fumecheng-767 270 19 2 2 NUM fumecheng-767 270 20 1 1 NUM fumecheng-767 270 21 . . PUNCT fumecheng-767 271 1 2 2 NUM fumecheng-767 271 2 k k X fumecheng-767 271 3 k k PROPN fumecheng-767 271 4 k k PROPN fumecheng-767 271 5 u u PROPN fumecheng-767 271 6 udw udw PROPN fumecheng-767 272 1 k k PROPN fumecheng-767 272 2 p p X fumecheng-767 272 3 dt dt X fumecheng-767 272 4 dt dt X fumecheng-767 272 5   X fumecheng-767 272 6   NUM fumecheng-767 272 7   NOUN fumecheng-767 272 8 ( ( PUNCT fumecheng-767 272 9 44 44 NUM fumecheng-767 272 10 ) ) PUNCT fumecheng-767 272 11 the the DET fumecheng-767 272 12 temperature temperature NOUN fumecheng-767 272 13 itself itself PRON fumecheng-767 272 14 depends depend VERB fumecheng-767 272 15 on on ADP fumecheng-767 272 16 how how SCONJ fumecheng-767 272 17 this this DET fumecheng-767 272 18 heat heat NOUN fumecheng-767 272 19 is be AUX fumecheng-767 272 20 led lead VERB fumecheng-767 272 21 away away ADV fumecheng-767 272 22 . . PUNCT fumecheng-767 273 1 for for ADP fumecheng-767 273 2 an an DET fumecheng-767 273 3 element element NOUN fumecheng-767 273 4 with with ADP fumecheng-767 273 5 thermal thermal ADJ fumecheng-767 273 6 conductivity conductivity NOUN fumecheng-767 273 7   ADJ fumecheng-767 273 8 , , PUNCT fumecheng-767 273 9 58 58 NUM fumecheng-767 273 10 r. r. PROPN fumecheng-767 273 11 heise heise PROPN fumecheng-767 273 12 2 2 NUM fumecheng-767 273 13 2 2 NUM fumecheng-767 273 14 2 2 NUM fumecheng-767 273 15 2 2 NUM fumecheng-767 273 16 1 1 NUM fumecheng-767 273 17 0 0 NUM fumecheng-767 273 18 1 1 NUM fumecheng-767 273 19 2 2 NUM fumecheng-767 273 20 ( ( PUNCT fumecheng-767 273 21 ) ) PUNCT fumecheng-767 273 22 , , PUNCT fumecheng-767 273 23 2 2 X fumecheng-767 273 24 . . SYM fumecheng-767 273 25 4 4 NUM fumecheng-767 273 26 j j PROPN fumecheng-767 273 27 j j PROPN fumecheng-767 273 28 j j PROPN fumecheng-767 273 29 j j PROPN fumecheng-767 273 30 j j PROPN fumecheng-767 273 31 j j PROPN fumecheng-767 273 32 j j PROPN fumecheng-767 273 33 j j PROPN fumecheng-767 273 34 j j PROPN fumecheng-767 273 35 k k PROPN fumecheng-767 273 36 k k PROPN fumecheng-767 273 37 k k PROPN fumecheng-767 273 38 k k PROPN fumecheng-767 273 39 k k PROPN fumecheng-767 273 40 duk duk PROPN fumecheng-767 273 41 t t PROPN fumecheng-767 273 42 gu gu X fumecheng-767 273 43 u u PROPN fumecheng-767 273 44 u u X fumecheng-767 273 45 u u NOUN fumecheng-767 273 46 du du X fumecheng-767 273 47 dx dx PROPN fumecheng-767 273 48 dt dt PROPN fumecheng-767 273 49 dt dt X fumecheng-767 273 50 u u X fumecheng-767 273 51 u u NOUN fumecheng-767 273 52 gv gv ADP fumecheng-767 273 53 u u PROPN fumecheng-767 273 54 uk uk PROPN fumecheng-767 273 55 t t PROPN fumecheng-767 273 56 dx dx PROPN fumecheng-767 273 57 dt dt PROPN fumecheng-767 273 58 dx dx PROPN fumecheng-767 273 59   PROPN fumecheng-767 273 60   NUM fumecheng-767 273 61   X fumecheng-767 273 62   ADJ fumecheng-767 273 63   ADJ fumecheng-767 273 64   ADJ fumecheng-767 273 65   PROPN fumecheng-767 273 66   PROPN fumecheng-767 273 67   NOUN fumecheng-767 273 68   PROPN fumecheng-767 273 69   PUNCT fumecheng-767 273 70   NUM fumecheng-767 273 71   PUNCT fumecheng-767 273 72   NUM fumecheng-767 273 73   PROPN fumecheng-767 273 74   CCONJ fumecheng-767 273 75   PROPN fumecheng-767 273 76   PROPN fumecheng-767 273 77   VERB fumecheng-767 273 78   NOUN fumecheng-767 273 79   NOUN fumecheng-767 273 80   NUM fumecheng-767 273 81   NOUN fumecheng-767 273 82 ( ( PUNCT fumecheng-767 273 83 45 45 NUM fumecheng-767 273 84 ) ) PUNCT fumecheng-767 273 85 keep keep VERB fumecheng-767 273 86 in in ADP fumecheng-767 273 87 mind mind NOUN fumecheng-767 273 88 that that SCONJ fumecheng-767 273 89 the the DET fumecheng-767 273 90 shift shift NOUN fumecheng-767 273 91 in in ADP fumecheng-767 273 92 temperature temperature NOUN fumecheng-767 273 93 causes cause VERB fumecheng-767 273 94 a a DET fumecheng-767 273 95 change change NOUN fumecheng-767 273 96 in in ADP fumecheng-767 273 97 the the DET fumecheng-767 273 98 spectral spectral ADJ fumecheng-767 273 99 behavior behavior NOUN fumecheng-767 273 100 of of ADP fumecheng-767 273 101 the the DET fumecheng-767 273 102 elastomer elastomer NOUN fumecheng-767 273 103 . . PUNCT fumecheng-767 274 1 this this PRON fumecheng-767 274 2 is be AUX fumecheng-767 274 3 seen see VERB fumecheng-767 274 4 in in ADP fumecheng-767 274 5 a a DET fumecheng-767 274 6 changing change VERB fumecheng-767 274 7 viscosity viscosity NOUN fumecheng-767 274 8 and and CCONJ fumecheng-767 274 9 hence hence ADV fumecheng-767 274 10 a a DET fumecheng-767 274 11 shift shift NOUN fumecheng-767 274 12 in in ADP fumecheng-767 274 13 relaxation relaxation NOUN fumecheng-767 274 14 time time NOUN fumecheng-767 274 15 i i NOUN fumecheng-767 274 16 . . PUNCT fumecheng-767 275 1 for for ADP fumecheng-767 275 2 every every DET fumecheng-767 275 3 site site NOUN fumecheng-767 275 4 , , PUNCT fumecheng-767 275 5 viscosity viscosity NOUN fumecheng-767 275 6 i i NOUN fumecheng-767 275 7 . . PUNCT fumecheng-767 276 1 is be AUX fumecheng-767 276 2 adapted adapt VERB fumecheng-767 276 3 to to ADP fumecheng-767 276 4 temperature temperature NOUN fumecheng-767 276 5 ti ti NOUN fumecheng-767 276 6 in in ADP fumecheng-767 276 7 this this DET fumecheng-767 276 8 contact contact NOUN fumecheng-767 276 9 . . PUNCT fumecheng-767 277 1 for for ADP fumecheng-767 277 2 points point NOUN fumecheng-767 277 3 in in ADP fumecheng-767 277 4 contact contact NOUN fumecheng-767 277 5 , , PUNCT fumecheng-767 277 6 the the DET fumecheng-767 277 7 change change NOUN fumecheng-767 277 8 of of ADP fumecheng-767 277 9 viscosity viscosity NOUN fumecheng-767 277 10 leads lead VERB fumecheng-767 277 11 to to ADP fumecheng-767 277 12 a a DET fumecheng-767 277 13 different different ADJ fumecheng-767 277 14 force force NOUN fumecheng-767 277 15 experienced experience VERB fumecheng-767 277 16 by by ADP fumecheng-767 277 17 the the DET fumecheng-767 277 18 surface surface NOUN fumecheng-767 277 19 . . PUNCT fumecheng-767 278 1 in in ADP fumecheng-767 278 2 this this DET fumecheng-767 278 3 way way NOUN fumecheng-767 278 4 the the DET fumecheng-767 278 5 entire entire ADJ fumecheng-767 278 6 contact contact NOUN fumecheng-767 278 7 configuration configuration NOUN fumecheng-767 278 8 has have VERB fumecheng-767 278 9 to to PART fumecheng-767 278 10 be be AUX fumecheng-767 278 11 adjusted adjust VERB fumecheng-767 278 12 to to ADP fumecheng-767 278 13 the the DET fumecheng-767 278 14 new new ADJ fumecheng-767 278 15 temperature temperature NOUN fumecheng-767 278 16 . . PUNCT fumecheng-767 279 1 3 3 X fumecheng-767 279 2 . . NOUN fumecheng-767 279 3 results result NOUN fumecheng-767 279 4 and and CCONJ fumecheng-767 279 5 discussion discussion NOUN fumecheng-767 279 6 numerical numerical ADJ fumecheng-767 279 7 simulations simulation NOUN fumecheng-767 279 8 have have AUX fumecheng-767 279 9 been be AUX fumecheng-767 279 10 carried carry VERB fumecheng-767 279 11 out out ADP fumecheng-767 279 12 for for ADP fumecheng-767 279 13 different different ADJ fumecheng-767 279 14 ranges range NOUN fumecheng-767 279 15 of of ADP fumecheng-767 279 16 the the DET fumecheng-767 279 17 parameters parameter NOUN fumecheng-767 279 18 involved involve VERB fumecheng-767 279 19 . . PUNCT fumecheng-767 280 1 the the DET fumecheng-767 280 2 viscosity viscosity NOUN fumecheng-767 280 3 is be AUX fumecheng-767 280 4 chosen choose VERB fumecheng-767 280 5 to to PART fumecheng-767 280 6 be be AUX fumecheng-767 280 7   X fumecheng-767 280 8   PROPN fumecheng-767 280 9 pa pa PROPN fumecheng-767 280 10 s s PROPN fumecheng-767 280 11 , , PUNCT fumecheng-767 280 12 the the DET fumecheng-767 280 13 modulus modulus NOUN fumecheng-767 280 14 g g PROPN fumecheng-767 280 15   PROPN fumecheng-767 280 16   PROPN fumecheng-767 280 17 pa pa PROPN fumecheng-767 280 18 , , PUNCT fumecheng-767 280 19 the the DET fumecheng-767 280 20 thermal thermal ADJ fumecheng-767 280 21 conductivity conductivity NOUN fumecheng-767 280 22 w w PROPN fumecheng-767 280 23 / / SYM fumecheng-767 280 24 m m PROPN fumecheng-767 280 25 / / SYM fumecheng-767 280 26 k. k. PROPN fumecheng-767 281 1 the the DET fumecheng-767 281 2 normal normal ADJ fumecheng-767 281 3 forces force NOUN fumecheng-767 281 4 are be AUX fumecheng-767 281 5 varied varied ADJ fumecheng-767 281 6 logarithmically logarithmically ADV fumecheng-767 281 7 in in ADP fumecheng-767 281 8 a a DET fumecheng-767 281 9 range range NOUN fumecheng-767 281 10 from from ADP fumecheng-767 281 11   ADJ fumecheng-767 281 12   X fumecheng-767 281 13 n n CCONJ fumecheng-767 281 14 , , PUNCT fumecheng-767 281 15 to to ADP fumecheng-767 281 16 20 20 NUM fumecheng-767 281 17 n n CCONJ fumecheng-767 281 18 , , PUNCT fumecheng-767 281 19 the the DET fumecheng-767 281 20 sliding slide VERB fumecheng-767 281 21 velocity velocity NOUN fumecheng-767 281 22 from from ADP fumecheng-767 281 23 2 2 NUM fumecheng-767 281 24   ADJ fumecheng-767 281 25   PROPN fumecheng-767 281 26 m m PROPN fumecheng-767 281 27 / / SYM fumecheng-767 281 28 s s PROPN fumecheng-767 281 29 to to PART fumecheng-767 281 30 2 2 NUM fumecheng-767 281 31   ADJ fumecheng-767 281 32   PROPN fumecheng-767 281 33 m m PROPN fumecheng-767 281 34 / / SYM fumecheng-767 281 35 s. s. PROPN fumecheng-767 281 36 the the DET fumecheng-767 281 37 geometry geometry NOUN fumecheng-767 281 38 is be AUX fumecheng-767 281 39 described describe VERB fumecheng-767 281 40 by by ADP fumecheng-767 281 41 5000 5000 NUM fumecheng-767 281 42 steps step NOUN fumecheng-767 281 43 of of ADP fumecheng-767 281 44 with with ADP fumecheng-767 281 45 dx dx PROPN fumecheng-767 281 46 = = SYM fumecheng-767 281 47 2m 2m NUM fumecheng-767 281 48 and and CCONJ fumecheng-767 281 49 a a DET fumecheng-767 281 50 roughness roughness NOUN fumecheng-767 281 51 h= h= NOUN fumecheng-767 281 52 1m 1m NUM fumecheng-767 281 53 . . PUNCT fumecheng-767 282 1 the the DET fumecheng-767 282 2 hurst hurst PROPN fumecheng-767 282 3 exponent exponent NOUN fumecheng-767 282 4 is be AUX fumecheng-767 282 5 extended extend VERB fumecheng-767 282 6 to to ADP fumecheng-767 282 7 a a DET fumecheng-767 282 8 range range NOUN fumecheng-767 282 9 of of ADP fumecheng-767 282 10 [ [ X fumecheng-767 282 11 -1,3 -1,3 X fumecheng-767 282 12 ] ] X fumecheng-767 282 13 . . PUNCT fumecheng-767 283 1 in in ADP fumecheng-767 283 2 fig fig NOUN fumecheng-767 283 3 . . PUNCT fumecheng-767 284 1 4 4 NUM fumecheng-767 284 2 , , PUNCT fumecheng-767 284 3 the the DET fumecheng-767 284 4 coefficient coefficient NOUN fumecheng-767 284 5 of of ADP fumecheng-767 284 6 friction friction NOUN fumecheng-767 284 7 as as ADP fumecheng-767 284 8 a a DET fumecheng-767 284 9 function function NOUN fumecheng-767 284 10 of of ADP fumecheng-767 284 11 both both DET fumecheng-767 284 12 velocity velocity NOUN fumecheng-767 284 13 and and CCONJ fumecheng-767 284 14 normal normal ADJ fumecheng-767 284 15 force force NOUN fumecheng-767 284 16 is be AUX fumecheng-767 284 17 shown show VERB fumecheng-767 284 18 . . PUNCT fumecheng-767 285 1 the the DET fumecheng-767 285 2 viscosity viscosity NOUN fumecheng-767 285 3 is be AUX fumecheng-767 285 4 adapted adapt VERB fumecheng-767 285 5 to to ADP fumecheng-767 285 6 the the DET fumecheng-767 285 7 temperature temperature NOUN fumecheng-767 285 8 in in ADP fumecheng-767 285 9 the the DET fumecheng-767 285 10 contact contact NOUN fumecheng-767 285 11 sites site NOUN fumecheng-767 285 12 in in ADP fumecheng-767 285 13 an an DET fumecheng-767 285 14 iterative iterative NOUN fumecheng-767 285 15 process process NOUN fumecheng-767 285 16 . . PUNCT fumecheng-767 286 1 fig fig NOUN fumecheng-767 286 2 . . PUNCT fumecheng-767 287 1 4 4 NUM fumecheng-767 287 2 coefficient coefficient NOUN fumecheng-767 287 3 of of ADP fumecheng-767 287 4 friction friction NOUN fumecheng-767 287 5 normalized normalize VERB fumecheng-767 287 6 by by ADP fumecheng-767 287 7 the the DET fumecheng-767 287 8 rms rm NOUN fumecheng-767 287 9 slope slope NOUN fumecheng-767 287 10 as as ADP fumecheng-767 287 11 a a DET fumecheng-767 287 12 function function NOUN fumecheng-767 287 13 of of ADP fumecheng-767 287 14 velocity velocity NOUN fumecheng-767 287 15 and and CCONJ fumecheng-767 287 16 flash flash NOUN fumecheng-767 287 17 temperatures temperature NOUN fumecheng-767 287 18 generated generate VERB fumecheng-767 287 19 by by ADP fumecheng-767 287 20 friction friction NOUN fumecheng-767 287 21 of of ADP fumecheng-767 287 22 a a DET fumecheng-767 287 23 viscoelastic viscoelastic ADJ fumecheng-767 287 24 body body NOUN fumecheng-767 287 25 59 59 NUM fumecheng-767 287 26 normal normal ADJ fumecheng-767 287 27 force force NOUN fumecheng-767 287 28 in in ADP fumecheng-767 287 29 logarithmic logarithmic ADJ fumecheng-767 287 30 scale scale NOUN fumecheng-767 287 31 at at ADP fumecheng-767 287 32 h h NOUN fumecheng-767 287 33 = = NOUN fumecheng-767 287 34 0.7 0.7 NUM fumecheng-767 287 35 3.1 3.1 NUM fumecheng-767 287 36 . . PUNCT fumecheng-767 288 1 full full ADJ fumecheng-767 288 2 contact contact NOUN fumecheng-767 288 3 if if SCONJ fumecheng-767 288 4 the the DET fumecheng-767 288 5 surfaces surface NOUN fumecheng-767 288 6 are be AUX fumecheng-767 288 7 pressed press VERB fumecheng-767 288 8 with with ADP fumecheng-767 288 9 sufficiently sufficiently ADV fumecheng-767 288 10 high high ADJ fumecheng-767 288 11 normal normal ADJ fumecheng-767 288 12 force force NOUN fumecheng-767 288 13 against against ADP fumecheng-767 288 14 each each DET fumecheng-767 288 15 other other ADJ fumecheng-767 288 16 and and CCONJ fumecheng-767 288 17 the the DET fumecheng-767 288 18 velocity velocity NOUN fumecheng-767 288 19 is be AUX fumecheng-767 288 20 simultaneously simultaneously ADV fumecheng-767 288 21 rather rather ADV fumecheng-767 288 22 low low ADJ fumecheng-767 288 23 a a DET fumecheng-767 288 24 full full ADJ fumecheng-767 288 25 contact contact NOUN fumecheng-767 288 26 between between ADP fumecheng-767 288 27 the the DET fumecheng-767 288 28 surfaces surface NOUN fumecheng-767 288 29 is be AUX fumecheng-767 288 30 established establish VERB fumecheng-767 288 31 . . PUNCT fumecheng-767 289 1 in in ADP fumecheng-767 289 2 this this DET fumecheng-767 289 3 situation situation NOUN fumecheng-767 289 4 , , PUNCT fumecheng-767 289 5 several several ADJ fumecheng-767 289 6 quantities quantity NOUN fumecheng-767 289 7 including include VERB fumecheng-767 289 8 the the DET fumecheng-767 289 9 temperature temperature NOUN fumecheng-767 289 10 can can AUX fumecheng-767 289 11 be be AUX fumecheng-767 289 12 estimated estimate VERB fumecheng-767 289 13 analytically analytically ADV fumecheng-767 289 14 . . PUNCT fumecheng-767 290 1 the the DET fumecheng-767 290 2 mathematical mathematical ADJ fumecheng-767 290 3 condition condition NOUN fumecheng-767 290 4 of of ADP fumecheng-767 290 5 full full ADJ fumecheng-767 290 6 contact contact NOUN fumecheng-767 290 7 is be AUX fumecheng-767 290 8 , , PUNCT fumecheng-767 290 9 , , PUNCT fumecheng-767 290 10 1 1 X fumecheng-767 290 11 , , PUNCT fumecheng-767 290 12 .j .j NOUN fumecheng-767 291 1 ju ju PROPN fumecheng-767 291 2 z z PROPN fumecheng-767 292 1 j j PROPN fumecheng-767 293 1 n n PROPN fumecheng-767 294 1   PROPN fumecheng-767 295 1   PROPN fumecheng-767 295 2 ( ( PUNCT fumecheng-767 295 3 46 46 NUM fumecheng-767 295 4 ) ) PUNCT fumecheng-767 295 5 therefore therefore ADV fumecheng-767 295 6 , , PUNCT fumecheng-767 295 7 in in ADP fumecheng-767 295 8 all all DET fumecheng-767 295 9 the the DET fumecheng-767 295 10 expressions expression NOUN fumecheng-767 295 11 regarding regard VERB fumecheng-767 295 12 the the DET fumecheng-767 295 13 deformable deformable ADJ fumecheng-767 295 14 surface surface NOUN fumecheng-767 295 15 it it PRON fumecheng-767 295 16 can can AUX fumecheng-767 295 17 be be AUX fumecheng-767 295 18 substituted substitute VERB fumecheng-767 295 19 by by ADP fumecheng-767 295 20 the the DET fumecheng-767 295 21 unchanged unchanged ADJ fumecheng-767 295 22 rigid rigid ADJ fumecheng-767 295 23 one one NUM fumecheng-767 295 24 . . PUNCT fumecheng-767 296 1 especially especially ADV fumecheng-767 296 2 , , PUNCT fumecheng-767 296 3 the the DET fumecheng-767 296 4 force force NOUN fumecheng-767 296 5 in in ADP fumecheng-767 296 6 every every DET fumecheng-767 296 7 site site NOUN fumecheng-767 296 8 is be AUX fumecheng-767 296 9 given give VERB fumecheng-767 296 10 by by ADP fumecheng-767 296 11 1 1 NUM fumecheng-767 296 12 0 0 NUM fumecheng-767 296 13 1 1 NUM fumecheng-767 296 14 ( ( PUNCT fumecheng-767 296 15 ) ) PUNCT fumecheng-767 296 16 ( ( PUNCT fumecheng-767 296 17 ) ) PUNCT fumecheng-767 296 18 . . PUNCT fumecheng-767 297 1 2 2 NUM fumecheng-767 297 2 j j PROPN fumecheng-767 297 3 j j PROPN fumecheng-767 297 4 j j PROPN fumecheng-767 297 5 j j PROPN fumecheng-767 297 6 j j PROPN fumecheng-767 297 7 j j PROPN fumecheng-767 297 8 j j PROPN fumecheng-767 297 9 j j PROPN fumecheng-767 297 10 j j PROPN fumecheng-767 297 11 z z PROPN fumecheng-767 297 12 z z PROPN fumecheng-767 297 13 v v PROPN fumecheng-767 297 14 f f X fumecheng-767 297 15 k k X fumecheng-767 297 16 u u PROPN fumecheng-767 297 17 u u X fumecheng-767 297 18 k k PROPN fumecheng-767 297 19 z z PROPN fumecheng-767 297 20 z z PROPN fumecheng-767 297 21 dx dx PROPN fumecheng-767 297 22   PROPN fumecheng-767 297 23   PROPN fumecheng-767 297 24   ADV fumecheng-767 297 25   PUNCT fumecheng-767 297 26   VERB fumecheng-767 297 27   PROPN fumecheng-767 297 28   PROPN fumecheng-767 297 29   PROPN fumecheng-767 297 30   VERB fumecheng-767 297 31   PROPN fumecheng-767 297 32   PROPN fumecheng-767 297 33   SYM fumecheng-767 297 34   PROPN fumecheng-767 297 35   PROPN fumecheng-767 298 1   PROPN fumecheng-767 298 2   NOUN fumecheng-767 298 3 ( ( PUNCT fumecheng-767 298 4 47 47 NUM fumecheng-767 298 5 ) ) PUNCT fumecheng-767 298 6 the the DET fumecheng-767 298 7 averaging averaging NOUN fumecheng-767 298 8 of of ADP fumecheng-767 298 9 the the DET fumecheng-767 298 10 elastic elastic ADJ fumecheng-767 298 11 force force NOUN fumecheng-767 298 12 is be AUX fumecheng-767 298 13 introduced introduce VERB fumecheng-767 298 14 to to PART fumecheng-767 298 15 avoid avoid VERB fumecheng-767 298 16 finite finite ADJ fumecheng-767 298 17 size size NOUN fumecheng-767 298 18 effects effect NOUN fumecheng-767 298 19 and and CCONJ fumecheng-767 298 20 account account VERB fumecheng-767 298 21 for for ADP fumecheng-767 298 22 periodicity periodicity NOUN fumecheng-767 298 23 of of ADP fumecheng-767 298 24 the the DET fumecheng-767 298 25 model model NOUN fumecheng-767 298 26 . . PUNCT fumecheng-767 299 1 the the DET fumecheng-767 299 2 sum sum NOUN fumecheng-767 299 3 of of ADP fumecheng-767 299 4 site site NOUN fumecheng-767 299 5 forces force NOUN fumecheng-767 299 6 sums sum VERB fumecheng-767 299 7 up up ADP fumecheng-767 299 8 to to ADP fumecheng-767 299 9 the the DET fumecheng-767 299 10 normal normal ADJ fumecheng-767 299 11 force force NOUN fumecheng-767 299 12 1 1 NUM fumecheng-767 299 13 0 0 NUM fumecheng-767 299 14 1 1 NUM fumecheng-767 299 15 ( ( PUNCT fumecheng-767 299 16 ) ) PUNCT fumecheng-767 299 17 , , PUNCT fumecheng-767 299 18 2 2 NUM fumecheng-767 299 19 j j PROPN fumecheng-767 299 20 j j PROPN fumecheng-767 299 21 n n CCONJ fumecheng-767 299 22 j j PROPN fumecheng-767 299 23 j j PROPN fumecheng-767 299 24 j j PROPN fumecheng-767 299 25 j j PROPN fumecheng-767 299 26 j j PROPN fumecheng-767 299 27 j j PROPN fumecheng-767 299 28 z z PROPN fumecheng-767 299 29 z z PROPN fumecheng-767 299 30 v v PROPN fumecheng-767 300 1 f f X fumecheng-767 300 2 f f PROPN fumecheng-767 301 1 k k PROPN fumecheng-767 301 2 z z PROPN fumecheng-767 301 3 z z PROPN fumecheng-767 301 4 knz knz PROPN fumecheng-767 301 5 dx dx PROPN fumecheng-767 301 6   PROPN fumecheng-767 301 7   ADV fumecheng-767 301 8   PUNCT fumecheng-767 301 9   VERB fumecheng-767 301 10   PROPN fumecheng-767 301 11   PROPN fumecheng-767 301 12   PROPN fumecheng-767 301 13   PROPN fumecheng-767 301 14   VERB fumecheng-767 301 15   PROPN fumecheng-767 301 16   PROPN fumecheng-767 301 17   PROPN fumecheng-767 301 18   CCONJ fumecheng-767 301 19   PROPN fumecheng-767 301 20   NOUN fumecheng-767 301 21   X fumecheng-767 301 22   X fumecheng-767 301 23 ( ( PUNCT fumecheng-767 301 24 48 48 NUM fumecheng-767 301 25 ) ) PUNCT fumecheng-767 301 26 where where SCONJ fumecheng-767 301 27 1/ 1/ NUM fumecheng-767 301 28 j j PROPN fumecheng-767 301 29 j j PROPN fumecheng-767 301 30 n n PROPN fumecheng-767 301 31   PROPN fumecheng-767 301 32   X fumecheng-767 301 33 . . PUNCT fumecheng-767 302 1 hence hence ADV fumecheng-767 302 2 , , PUNCT fumecheng-767 302 3 the the DET fumecheng-767 302 4 mean mean ADJ fumecheng-767 302 5 value value NOUN fumecheng-767 302 6 of of ADP fumecheng-767 302 7 the the DET fumecheng-767 302 8 rigid rigid ADJ fumecheng-767 302 9 profile profile NOUN fumecheng-767 302 10 , , PUNCT fumecheng-767 302 11 i.e. i.e. X fumecheng-767 302 12 the the DET fumecheng-767 302 13 indentation indentation NOUN fumecheng-767 302 14 , , PUNCT fumecheng-767 302 15 is be AUX fumecheng-767 302 16 . . PUNCT fumecheng-767 303 1 4 4 NUM fumecheng-767 303 2 n n NUM fumecheng-767 303 3 nf nf NOUN fumecheng-767 303 4 f f PROPN fumecheng-767 303 5 z z PROPN fumecheng-767 303 6 kn kn PROPN fumecheng-767 303 7 gl gl PROPN fumecheng-767 303 8   PROPN fumecheng-767 303 9   PROPN fumecheng-767 303 10   PROPN fumecheng-767 303 11   NOUN fumecheng-767 303 12 ( ( PUNCT fumecheng-767 303 13 49 49 NUM fumecheng-767 303 14 ) ) PUNCT fumecheng-767 303 15 the the DET fumecheng-767 303 16 parameter parameter NOUN fumecheng-767 303 17 . . PUNCT fumecheng-767 304 1 4 4 NUM fumecheng-767 304 2 nfz nfz NOUN fumecheng-767 304 3 f f PROPN fumecheng-767 304 4 h h PROPN fumecheng-767 304 5 glh glh PROPN fumecheng-767 304 6 n n PROPN fumecheng-767 304 7   PROPN fumecheng-767 304 8   PROPN fumecheng-767 304 9 ( ( PUNCT fumecheng-767 304 10 50 50 NUM fumecheng-767 304 11 ) ) PUNCT fumecheng-767 304 12 encodes encode VERB fumecheng-767 304 13 the the DET fumecheng-767 304 14 relation relation NOUN fumecheng-767 304 15 between between ADP fumecheng-767 304 16 indentation indentation NOUN fumecheng-767 304 17 and and CCONJ fumecheng-767 304 18 roughness roughness NOUN fumecheng-767 304 19 of of ADP fumecheng-767 304 20 the the DET fumecheng-767 304 21 surface surface NOUN fumecheng-767 304 22 . . PUNCT fumecheng-767 305 1 we we PRON fumecheng-767 305 2 have have AUX fumecheng-767 305 3 introduced introduce VERB fumecheng-767 305 4 the the DET fumecheng-767 305 5 dimensionless dimensionless NOUN fumecheng-767 305 6 variable variable NOUN fumecheng-767 305 7 . . PUNCT fumecheng-767 306 1 4 4 NUM fumecheng-767 306 2 nf nf NOUN fumecheng-767 306 3 f f PROPN fumecheng-767 306 4 gdxh gdxh VERB fumecheng-767 306 5   PROPN fumecheng-767 306 6 ( ( PUNCT fumecheng-767 306 7 51 51 NUM fumecheng-767 306 8 ) ) PUNCT fumecheng-767 306 9 for for ADP fumecheng-767 306 10 the the DET fumecheng-767 306 11 frictional frictional ADJ fumecheng-767 306 12 force force NOUN fumecheng-767 306 13 , , PUNCT fumecheng-767 306 14 one one PRON fumecheng-767 306 15 encounters encounter VERB fumecheng-767 306 16 the the DET fumecheng-767 306 17 following follow VERB fumecheng-767 306 18 picture picture NOUN fumecheng-767 306 19 1 1 NUM fumecheng-767 306 20 1 1 NUM fumecheng-767 306 21 10 10 NUM fumecheng-767 306 22 1 1 NUM fumecheng-767 306 23 2 2 NUM fumecheng-767 306 24 1 1 NUM fumecheng-767 306 25 2 2 NUM fumecheng-767 306 26 2 2 NUM fumecheng-767 306 27 0 0 NUM fumecheng-767 306 28 0 0 NUM fumecheng-767 306 29 02 02 NUM fumecheng-767 306 30 ( ( PUNCT fumecheng-767 306 31 ) ) PUNCT fumecheng-767 306 32 2 2 NUM fumecheng-767 306 33 ( ( PUNCT fumecheng-767 306 34 ) ) PUNCT fumecheng-767 306 35 4 4 NUM fumecheng-767 306 36 j j PROPN fumecheng-767 306 37 j j PROPN fumecheng-767 306 38 j j PROPN fumecheng-767 306 39 j j PROPN fumecheng-767 307 1 j j PROPN fumecheng-767 307 2 j j PROPN fumecheng-767 307 3 x x X fumecheng-767 308 1 j j PROPN fumecheng-767 308 2 j j PROPN fumecheng-767 308 3 j j PROPN fumecheng-767 309 1 j j PROPN fumecheng-767 309 2 j j PROPN fumecheng-767 309 3 j j PROPN fumecheng-767 309 4 j j PROPN fumecheng-767 310 1 j j PROPN fumecheng-767 310 2 j j PROPN fumecheng-767 310 3 j j PROPN fumecheng-767 310 4 j j PROPN fumecheng-767 310 5 j j PROPN fumecheng-767 310 6 z z PROPN fumecheng-767 310 7 z z PROPN fumecheng-767 311 1 z z PROPN fumecheng-767 311 2 z z NOUN fumecheng-767 312 1 z z NOUN fumecheng-767 312 2 zv zv NOUN fumecheng-767 313 1 f f PROPN fumecheng-767 314 1 f f PROPN fumecheng-767 314 2 z z NOUN fumecheng-767 314 3 f f PROPN fumecheng-767 315 1 k k PROPN fumecheng-767 315 2 z z PROPN fumecheng-767 315 3 z z PROPN fumecheng-767 315 4 dx dx PROPN fumecheng-767 315 5 dx dx PROPN fumecheng-767 315 6 dx dx PROPN fumecheng-767 315 7 z z PROPN fumecheng-767 315 8 z z PROPN fumecheng-767 315 9 kv kv PROPN fumecheng-767 316 1 kn kn PROPN fumecheng-767 316 2 z z PROPN fumecheng-767 316 3 lv lv PROPN fumecheng-767 316 4 z z PROPN fumecheng-767 316 5 dx dx PROPN fumecheng-767 316 6   PROPN fumecheng-767 316 7   NOUN fumecheng-767 316 8   NOUN fumecheng-767 316 9   PUNCT fumecheng-767 316 10   ADV fumecheng-767 316 11   ADV fumecheng-767 316 12   PROPN fumecheng-767 316 13   PUNCT fumecheng-767 316 14   PUNCT fumecheng-767 316 15   PROPN fumecheng-767 316 16   ADV fumecheng-767 316 17   PROPN fumecheng-767 316 18   NOUN fumecheng-767 316 19   NOUN fumecheng-767 316 20   NUM fumecheng-767 316 21   PROPN fumecheng-767 316 22   ADJ fumecheng-767 316 23   NOUN fumecheng-767 316 24   PROPN fumecheng-767 316 25   PROPN fumecheng-767 316 26   NOUN fumecheng-767 316 27   VERB fumecheng-767 316 28   NUM fumecheng-767 316 29   PRON fumecheng-767 316 30   PROPN fumecheng-767 316 31   NOUN fumecheng-767 316 32   NUM fumecheng-767 316 33   NOUN fumecheng-767 316 34   X fumecheng-767 316 35   X fumecheng-767 316 36   X fumecheng-767 316 37 ( ( PUNCT fumecheng-767 316 38 52 52 NUM fumecheng-767 316 39 ) ) PUNCT fumecheng-767 316 40 60 60 PROPN fumecheng-767 316 41 r. r. PROPN fumecheng-767 316 42 heise heise PROPN fumecheng-767 316 43 if if SCONJ fumecheng-767 316 44 one one PRON fumecheng-767 316 45 assumes assume VERB fumecheng-767 316 46 that that SCONJ fumecheng-767 316 47 relaxation relaxation NOUN fumecheng-767 316 48 time time NOUN fumecheng-767 316 49 j j PROPN fumecheng-767 316 50 is be AUX fumecheng-767 316 51 approximately approximately ADV fumecheng-767 316 52 the the DET fumecheng-767 316 53 same same ADJ fumecheng-767 316 54 for for ADP fumecheng-767 316 55 all all DET fumecheng-767 316 56 the the DET fumecheng-767 316 57 sites site NOUN fumecheng-767 316 58 . . PUNCT fumecheng-767 317 1 this this PRON fumecheng-767 317 2 is be AUX fumecheng-767 317 3 appropriate appropriate ADJ fumecheng-767 317 4 in in ADP fumecheng-767 317 5 the the DET fumecheng-767 317 6 first first ADJ fumecheng-767 317 7 estimate estimate NOUN fumecheng-767 317 8 . . PUNCT fumecheng-767 318 1 the the DET fumecheng-767 318 2 power power NOUN fumecheng-767 318 3 in in ADP fumecheng-767 318 4 every every DET fumecheng-767 318 5 site site NOUN fumecheng-767 318 6 is be AUX fumecheng-767 318 7 found find VERB fumecheng-767 318 8 by by ADP fumecheng-767 318 9 looking look VERB fumecheng-767 318 10 at at ADP fumecheng-767 318 11 product product NOUN fumecheng-767 318 12 of of ADP fumecheng-767 318 13 the the DET fumecheng-767 318 14 force force NOUN fumecheng-767 318 15 at at ADP fumecheng-767 318 16 this this DET fumecheng-767 318 17 site site NOUN fumecheng-767 318 18 and and CCONJ fumecheng-767 318 19 the the DET fumecheng-767 318 20 rate rate NOUN fumecheng-767 318 21 of of ADP fumecheng-767 318 22 change change NOUN fumecheng-767 318 23 of of ADP fumecheng-767 318 24 the the DET fumecheng-767 318 25 surface surface NOUN fumecheng-767 318 26 1 1 NUM fumecheng-767 318 27 1 1 NUM fumecheng-767 318 28 0 0 NUM fumecheng-767 318 29 . . PUNCT fumecheng-767 319 1 j j PROPN fumecheng-767 320 1 j j PROPN fumecheng-767 320 2 j j PROPN fumecheng-767 320 3 j j PROPN fumecheng-767 321 1 j j PROPN fumecheng-767 321 2 j j PROPN fumecheng-767 321 3 j j PROPN fumecheng-767 321 4 j j PROPN fumecheng-767 321 5 j j PROPN fumecheng-767 321 6 z z PROPN fumecheng-767 321 7 z z PROPN fumecheng-767 322 1 z z NOUN fumecheng-767 322 2 z z NOUN fumecheng-767 323 1 p p X fumecheng-767 323 2 f f X fumecheng-767 323 3 u u NOUN fumecheng-767 324 1 f f PROPN fumecheng-767 324 2 f f PROPN fumecheng-767 324 3 v v INTJ fumecheng-767 324 4 dt dt X fumecheng-767 324 5 dx dx PROPN fumecheng-767 325 1   PROPN fumecheng-767 325 2   PROPN fumecheng-767 325 3   PROPN fumecheng-767 325 4   NUM fumecheng-767 325 5   PRON fumecheng-767 326 1   NOUN fumecheng-767 326 2 ( ( PUNCT fumecheng-767 326 3 53 53 NUM fumecheng-767 326 4 ) ) PUNCT fumecheng-767 326 5 translating translate VERB fumecheng-767 326 6 this this PRON fumecheng-767 326 7 to to ADP fumecheng-767 326 8 a a DET fumecheng-767 326 9 temperature temperature NOUN fumecheng-767 326 10 shift shift NOUN fumecheng-767 326 11 yields yield NOUN fumecheng-767 326 12 0 0 NUM fumecheng-767 326 13 . . PUNCT fumecheng-767 327 1 2 2 NUM fumecheng-767 327 2 j j PROPN fumecheng-767 327 3 j j PROPN fumecheng-767 327 4 j j PROPN fumecheng-767 327 5 p p PROPN fumecheng-767 327 6 t t PROPN fumecheng-767 327 7 t t PROPN fumecheng-767 327 8 t t PROPN fumecheng-767 327 9 dx dx NOUN fumecheng-767 327 10   NOUN fumecheng-767 327 11   PROPN fumecheng-767 327 12   PROPN fumecheng-767 327 13   NUM fumecheng-767 327 14 ( ( PUNCT fumecheng-767 327 15 54 54 NUM fumecheng-767 327 16 ) ) PUNCT fumecheng-767 327 17 for for ADP fumecheng-767 327 18 the the DET fumecheng-767 327 19 averaged average VERB fumecheng-767 327 20 temperature temperature NOUN fumecheng-767 327 21 change change NOUN fumecheng-767 327 22 , , PUNCT fumecheng-767 327 23 we we PRON fumecheng-767 327 24 get get VERB fumecheng-767 327 25 1 1 NUM fumecheng-767 327 26 10 10 NUM fumecheng-767 327 27 1 1 NUM fumecheng-767 327 28 0 0 NUM fumecheng-767 327 29 22 22 NUM fumecheng-767 327 30 10 10 NUM fumecheng-767 327 31 2 2 NUM fumecheng-767 327 32 22 22 NUM fumecheng-767 327 33 10 10 NUM fumecheng-767 327 34 2 2 NUM fumecheng-767 327 35 2 2 NUM fumecheng-767 327 36 0 0 NUM fumecheng-767 327 37 0 0 NUM fumecheng-767 327 38 0 0 NUM fumecheng-767 327 39 0 0 NUM fumecheng-767 327 40 0 0 NUM fumecheng-767 327 41 0 0 NUM fumecheng-767 327 42 1 1 NUM fumecheng-767 327 43 1 1 NUM fumecheng-767 327 44 2 2 NUM fumecheng-767 327 45 1 1 NUM fumecheng-767 327 46 ( ( PUNCT fumecheng-767 327 47 ) ) PUNCT fumecheng-767 327 48 2 2 NUM fumecheng-767 327 49 2 2 NUM fumecheng-767 327 50 ( ( PUNCT fumecheng-767 327 51 ) ) PUNCT fumecheng-767 327 52 2 2 NUM fumecheng-767 327 53 ( ( PUNCT fumecheng-767 327 54 ) ) PUNCT fumecheng-767 327 55 4 4 NUM fumecheng-767 327 56 2 2 NUM fumecheng-767 327 57 ( ( PUNCT fumecheng-767 327 58 2 2 NUM fumecheng-767 327 59 1 1 NUM fumecheng-767 327 60 1 1 NUM fumecheng-767 327 61 exp exp NOUN fumecheng-767 327 62 1 1 NUM fumecheng-767 327 63 j j PROPN fumecheng-767 327 64 j j PROPN fumecheng-767 327 65 j j PROPN fumecheng-767 327 66 j j PROPN fumecheng-767 327 67 j j PROPN fumecheng-767 328 1 j j PROPN fumecheng-767 328 2 j j PROPN fumecheng-767 328 3 j j PROPN fumecheng-767 328 4 j j PROPN fumecheng-767 328 5 j j PROPN fumecheng-767 328 6 j j PROPN fumecheng-767 328 7 j j PROPN fumecheng-767 328 8 j j PROPN fumecheng-767 328 9 j j PROPN fumecheng-767 328 10 j j PROPN fumecheng-767 328 11 j j PROPN fumecheng-767 329 1 j j PROPN fumecheng-767 329 2 j j PROPN fumecheng-767 329 3 j j PROPN fumecheng-767 329 4 j j PROPN fumecheng-767 329 5 j j PROPN fumecheng-767 329 6 jj jj PROPN fumecheng-767 329 7 b b PROPN fumecheng-767 329 8 t t PROPN fumecheng-767 329 9 t t PROPN fumecheng-767 329 10 p p PROPN fumecheng-767 330 1 n n PROPN fumecheng-767 330 2 ndx ndx PROPN fumecheng-767 330 3 z z PROPN fumecheng-767 330 4 z z NOUN fumecheng-767 330 5 z z NOUN fumecheng-767 330 6 zv zv NOUN fumecheng-767 331 1 k k NOUN fumecheng-767 331 2 z z PROPN fumecheng-767 331 3 z z PROPN fumecheng-767 331 4 v v PROPN fumecheng-767 331 5 n n NUM fumecheng-767 331 6 dx dx PROPN fumecheng-767 331 7 dx dx PROPN fumecheng-767 331 8 z z PROPN fumecheng-767 331 9 zkv zkv PROPN fumecheng-767 331 10 ndx ndx PROPN fumecheng-767 331 11 dx dx PROPN fumecheng-767 331 12 z z PROPN fumecheng-767 331 13 zgdxv zgdxv PROPN fumecheng-767 331 14 ndx ndx PROPN fumecheng-767 331 15 g g PROPN fumecheng-767 331 16 dx dx PROPN fumecheng-767 331 17 t t PROPN fumecheng-767 331 18 zv zv PROPN fumecheng-767 331 19 u u PROPN fumecheng-767 331 20 tn tn PROPN fumecheng-767 331 21 t t PROPN fumecheng-767 331 22 k k PROPN fumecheng-767 331 23 t t PROPN fumecheng-767 331 24 t t PROPN fumecheng-767 331 25   ADJ fumecheng-767 331 26   NOUN fumecheng-767 331 27   VERB fumecheng-767 331 28   NOUN fumecheng-767 331 29   ADJ fumecheng-767 331 30   NUM fumecheng-767 331 31   X fumecheng-767 331 32   NUM fumecheng-767 331 33   X fumecheng-767 331 34   PROPN fumecheng-767 331 35   NUM fumecheng-767 331 36   PROPN fumecheng-767 331 37   PROPN fumecheng-767 331 38   PUNCT fumecheng-767 331 39   PUNCT fumecheng-767 331 40   NUM fumecheng-767 331 41   NOUN fumecheng-767 331 42   X fumecheng-767 331 43   PROPN fumecheng-767 331 44   PROPN fumecheng-767 331 45   PROPN fumecheng-767 331 46   ADV fumecheng-767 331 47   X fumecheng-767 331 48   PROPN fumecheng-767 331 49   PROPN fumecheng-767 331 50   NOUN fumecheng-767 331 51   VERB fumecheng-767 331 52   NUM fumecheng-767 331 53   PROPN fumecheng-767 331 54   PROPN fumecheng-767 332 1   PROPN fumecheng-767 332 2   PROPN fumecheng-767 332 3   PROPN fumecheng-767 332 4   VERB fumecheng-767 332 5   VERB fumecheng-767 332 6   PROPN fumecheng-767 332 7   PROPN fumecheng-767 332 8   X fumecheng-767 332 9   ADP fumecheng-767 332 10   NOUN fumecheng-767 332 11   ADV fumecheng-767 332 12   PROPN fumecheng-767 332 13   PROPN fumecheng-767 333 1   NUM fumecheng-767 333 2   NOUN fumecheng-767 334 1   NOUN fumecheng-767 334 2   AUX fumecheng-767 334 3   NOUN fumecheng-767 334 4   PROPN fumecheng-767 334 5   VERB fumecheng-767 334 6   NOUN fumecheng-767 335 1   PRON fumecheng-767 335 2   X fumecheng-767 335 3   NOUN fumecheng-767 335 4   PROPN fumecheng-767 335 5   PROPN fumecheng-767 335 6   X fumecheng-767 335 7   X fumecheng-767 335 8   X fumecheng-767 335 9   X fumecheng-767 335 10   X fumecheng-767 335 11   X fumecheng-767 335 12 2 2 NUM fumecheng-767 335 13 1 1 NUM fumecheng-767 335 14 2 2 NUM fumecheng-767 335 15 ) ) PUNCT fumecheng-767 335 16 . . PUNCT fumecheng-767 336 1 j j PROPN fumecheng-767 336 2 jz jz PROPN fumecheng-767 336 3 dx dx PROPN fumecheng-767 336 4   PROPN fumecheng-767 336 5 ( ( PUNCT fumecheng-767 336 6 55 55 NUM fumecheng-767 336 7 ) ) PUNCT fumecheng-767 336 8 assuming assume VERB fumecheng-767 336 9 that that SCONJ fumecheng-767 336 10 the the DET fumecheng-767 336 11 temperature temperature NOUN fumecheng-767 336 12 shift shift NOUN fumecheng-767 336 13 is be AUX fumecheng-767 336 14 about about ADV fumecheng-767 336 15 the the DET fumecheng-767 336 16 same same ADJ fumecheng-767 336 17 at at ADP fumecheng-767 336 18 every every DET fumecheng-767 336 19 site site NOUN fumecheng-767 336 20 jt jt PROPN fumecheng-767 336 21 t t NOUN fumecheng-767 336 22   NUM fumecheng-767 336 23   NOUN fumecheng-767 336 24 and and CCONJ fumecheng-767 336 25 that that SCONJ fumecheng-767 336 26 this this DET fumecheng-767 336 27 shift shift NOUN fumecheng-767 336 28 is be AUX fumecheng-767 336 29 small small ADJ fumecheng-767 336 30 0 0 NUM fumecheng-767 336 31 t t NOUN fumecheng-767 336 32 t t NOUN fumecheng-767 336 33   PUNCT fumecheng-767 336 34 we we PRON fumecheng-767 336 35 find find VERB fumecheng-767 336 36 an an DET fumecheng-767 336 37 estimate estimate NOUN fumecheng-767 336 38 for for ADP fumecheng-767 336 39 the the DET fumecheng-767 336 40 temperature temperature NOUN fumecheng-767 336 41 shift shift NOUN fumecheng-767 336 42 at at ADP fumecheng-767 336 43 full full ADJ fumecheng-767 336 44 contact contact NOUN fumecheng-767 336 45 0 0 NUM fumecheng-767 336 46 00 00 NUM fumecheng-767 336 47 2 2 NUM fumecheng-767 336 48 2 2 NUM fumecheng-767 336 49 00 00 NUM fumecheng-767 336 50 0 0 NUM fumecheng-767 336 51 1 1 NUM fumecheng-767 336 52 1 1 NUM fumecheng-767 336 53 2 2 NUM fumecheng-767 336 54 = = SYM fumecheng-767 336 55 b b PROPN fumecheng-767 336 56 t t PROPN fumecheng-767 336 57 t t PROPN fumecheng-767 336 58 ut ut PROPN fumecheng-767 336 59 k k PROPN fumecheng-767 336 60 tv tv PROPN fumecheng-767 336 61 z z PROPN fumecheng-767 336 62   X fumecheng-767 336 63   PUNCT fumecheng-767 336 64   NOUN fumecheng-767 336 65   VERB fumecheng-767 336 66   PROPN fumecheng-767 336 67   NOUN fumecheng-767 336 68 ( ( PUNCT fumecheng-767 336 69 56 56 NUM fumecheng-767 336 70 ) ) PUNCT fumecheng-767 336 71 from from ADP fumecheng-767 336 72 this this DET fumecheng-767 336 73 expression expression NOUN fumecheng-767 336 74 we we PRON fumecheng-767 336 75 learn learn VERB fumecheng-767 336 76 that that SCONJ fumecheng-767 336 77 there there PRON fumecheng-767 336 78 are be VERB fumecheng-767 336 79 several several ADJ fumecheng-767 336 80 possible possible ADJ fumecheng-767 336 81 contributions contribution NOUN fumecheng-767 336 82 . . PUNCT fumecheng-767 337 1 the the DET fumecheng-767 337 2 first first ADJ fumecheng-767 337 3 part part NOUN fumecheng-767 337 4 of of ADP fumecheng-767 337 5 the the DET fumecheng-767 337 6 sum sum NOUN fumecheng-767 337 7 in in ADP fumecheng-767 337 8 the the DET fumecheng-767 337 9 denominator denominator NOUN fumecheng-767 337 10 is be AUX fumecheng-767 337 11 the the DET fumecheng-767 337 12 ratio ratio NOUN fumecheng-767 337 13 between between ADP fumecheng-767 337 14 the the DET fumecheng-767 337 15 typical typical ADJ fumecheng-767 337 16 power power NOUN fumecheng-767 337 17 dissipated dissipate VERB fumecheng-767 337 18 in in ADP fumecheng-767 337 19 the the DET fumecheng-767 337 20 viscous viscous ADJ fumecheng-767 337 21 material material NOUN fumecheng-767 337 22 and and CCONJ fumecheng-767 337 23 the the DET fumecheng-767 337 24 power power NOUN fumecheng-767 337 25 led lead VERB fumecheng-767 337 26 away away ADV fumecheng-767 337 27 . . PUNCT fumecheng-767 338 1 the the DET fumecheng-767 338 2 second second ADJ fumecheng-767 338 3 part part NOUN fumecheng-767 338 4 gives give VERB fumecheng-767 338 5 a a DET fumecheng-767 338 6 contribution contribution NOUN fumecheng-767 338 7 from from ADP fumecheng-767 338 8 the the DET fumecheng-767 338 9 thermal thermal ADJ fumecheng-767 338 10 activation activation NOUN fumecheng-767 338 11 of of ADP fumecheng-767 338 12 the the DET fumecheng-767 338 13 material material NOUN fumecheng-767 338 14 . . PUNCT fumecheng-767 339 1 depending depend VERB fumecheng-767 339 2 on on ADP fumecheng-767 339 3 the the DET fumecheng-767 339 4 choice choice NOUN fumecheng-767 339 5 of of ADP fumecheng-767 339 6 the the DET fumecheng-767 339 7 parameters parameter NOUN fumecheng-767 339 8 the the DET fumecheng-767 339 9 temperature temperature NOUN fumecheng-767 339 10 shift shift NOUN fumecheng-767 339 11 can can AUX fumecheng-767 339 12 be be AUX fumecheng-767 339 13 tuned tune VERB fumecheng-767 339 14 . . PUNCT fumecheng-767 340 1 in in ADP fumecheng-767 340 2 fig fig NOUN fumecheng-767 340 3 . . PUNCT fumecheng-767 341 1 5 5 NUM fumecheng-767 341 2 , , PUNCT fumecheng-767 341 3 the the DET fumecheng-767 341 4 proportionality proportionality NOUN fumecheng-767 341 5 of of ADP fumecheng-767 341 6 the the DET fumecheng-767 341 7 temperature temperature NOUN fumecheng-767 341 8 shift shift NOUN fumecheng-767 341 9 to to ADP fumecheng-767 341 10 the the DET fumecheng-767 341 11 squared squared ADJ fumecheng-767 341 12 velocity velocity NOUN fumecheng-767 341 13 is be AUX fumecheng-767 341 14 shown show VERB fumecheng-767 341 15 at at ADP fumecheng-767 341 16 low low ADJ fumecheng-767 341 17 values value NOUN fumecheng-767 341 18 of of ADP fumecheng-767 341 19 velocity velocity NOUN fumecheng-767 341 20 . . PUNCT fumecheng-767 342 1 at at ADP fumecheng-767 342 2 these these DET fumecheng-767 342 3 values value NOUN fumecheng-767 342 4 the the DET fumecheng-767 342 5 surfaces surface NOUN fumecheng-767 342 6 are be AUX fumecheng-767 342 7 in in ADP fumecheng-767 342 8 full full ADJ fumecheng-767 342 9 contact contact NOUN fumecheng-767 342 10 . . PUNCT fumecheng-767 343 1 at at ADP fumecheng-767 343 2 higher high ADJ fumecheng-767 343 3 velocities velocity NOUN fumecheng-767 343 4 the the DET fumecheng-767 343 5 number number NOUN fumecheng-767 343 6 of of ADP fumecheng-767 343 7 contacts contact NOUN fumecheng-767 343 8 decreases decrease NOUN fumecheng-767 343 9 until until SCONJ fumecheng-767 343 10 the the DET fumecheng-767 343 11 number number NOUN fumecheng-767 343 12 of of ADP fumecheng-767 343 13 contacts contact NOUN fumecheng-767 343 14 diminishes diminish VERB fumecheng-767 343 15 to to ADP fumecheng-767 343 16 single single ADJ fumecheng-767 343 17 ones one NOUN fumecheng-767 343 18 . . PUNCT fumecheng-767 344 1 in in ADP fumecheng-767 344 2 this this DET fumecheng-767 344 3 region region NOUN fumecheng-767 344 4 , , PUNCT fumecheng-767 344 5 it it PRON fumecheng-767 344 6 is be AUX fumecheng-767 344 7 more more ADV fumecheng-767 344 8 sensible sensible ADJ fumecheng-767 344 9 to to PART fumecheng-767 344 10 focus focus VERB fumecheng-767 344 11 on on ADP fumecheng-767 344 12 the the DET fumecheng-767 344 13 flash flash NOUN fumecheng-767 344 14 temperature temperature NOUN fumecheng-767 344 15 in in ADP fumecheng-767 344 16 single single ADJ fumecheng-767 344 17 contacts contact NOUN fumecheng-767 344 18 . . PUNCT fumecheng-767 345 1 flash flash NOUN fumecheng-767 345 2 temperatures temperature NOUN fumecheng-767 345 3 generated generate VERB fumecheng-767 345 4 by by ADP fumecheng-767 345 5 friction friction NOUN fumecheng-767 345 6 of of ADP fumecheng-767 345 7 a a DET fumecheng-767 345 8 viscoelastic viscoelastic ADJ fumecheng-767 345 9 body body NOUN fumecheng-767 345 10 61 61 NUM fumecheng-767 345 11 fig fig NOUN fumecheng-767 345 12 . . PUNCT fumecheng-767 346 1 5 5 NUM fumecheng-767 346 2 normalized normalize VERB fumecheng-767 346 3 shift shift NOUN fumecheng-767 346 4 of of ADP fumecheng-767 346 5 the the DET fumecheng-767 346 6 temperature temperature NOUN fumecheng-767 346 7 as as ADP fumecheng-767 346 8 a a DET fumecheng-767 346 9 function function NOUN fumecheng-767 346 10 of of ADP fumecheng-767 346 11 velocity velocity NOUN fumecheng-767 346 12 for for ADP fumecheng-767 346 13 different different ADJ fumecheng-767 346 14 hurst hurst PROPN fumecheng-767 346 15 exponents exponent NOUN fumecheng-767 346 16 . . PUNCT fumecheng-767 347 1 due due ADP fumecheng-767 347 2 to to ADP fumecheng-767 347 3 high high ADJ fumecheng-767 347 4 normal normal ADJ fumecheng-767 347 5 force force NOUN fumecheng-767 347 6 the the DET fumecheng-767 347 7 elastomer elastomer NOUN fumecheng-767 347 8 is be AUX fumecheng-767 347 9 in in ADP fumecheng-767 347 10 full full ADJ fumecheng-767 347 11 contact contact NOUN fumecheng-767 347 12 for for ADP fumecheng-767 347 13 low low ADJ fumecheng-767 347 14 velocities velocity NOUN fumecheng-767 347 15 . . PUNCT fumecheng-767 348 1 the the DET fumecheng-767 348 2 slope slope NOUN fumecheng-767 348 3 is be AUX fumecheng-767 348 4 two two NUM fumecheng-767 348 5 . . PUNCT fumecheng-767 349 1 at at ADP fumecheng-767 349 2 higher high ADJ fumecheng-767 349 3 velocities velocity NOUN fumecheng-767 349 4 the the DET fumecheng-767 349 5 contact contact NOUN fumecheng-767 349 6 becomes become VERB fumecheng-767 349 7 partial partial ADJ fumecheng-767 349 8 and and CCONJ fumecheng-767 349 9 the the DET fumecheng-767 349 10 dependence dependence NOUN fumecheng-767 349 11 is be AUX fumecheng-767 349 12 linear linear ADJ fumecheng-767 349 13 . . PUNCT fumecheng-767 350 1 this this DET fumecheng-767 350 2 effect effect NOUN fumecheng-767 350 3 is be AUX fumecheng-767 350 4 occurs occur VERB fumecheng-767 350 5 for for ADP fumecheng-767 350 6 lower low ADJ fumecheng-767 350 7 hurst hurst PROPN fumecheng-767 350 8 exponents exponent NOUN fumecheng-767 350 9 at at ADP fumecheng-767 350 10 lower low ADJ fumecheng-767 350 11 velocities velocity NOUN fumecheng-767 350 12 3.2 3.2 NUM fumecheng-767 350 13 . . PUNCT fumecheng-767 351 1 flash flash VERB fumecheng-767 351 2 temperature temperature NOUN fumecheng-767 351 3 in in ADP fumecheng-767 351 4 each each DET fumecheng-767 351 5 element element NOUN fumecheng-767 351 6 , , PUNCT fumecheng-767 351 7 the the DET fumecheng-767 351 8 energy energy NOUN fumecheng-767 351 9 dissipation dissipation NOUN fumecheng-767 351 10 leads lead VERB fumecheng-767 351 11 to to PART fumecheng-767 351 12 rise rise VERB fumecheng-767 351 13 in in ADP fumecheng-767 351 14 temperature temperature NOUN fumecheng-767 351 15 as as SCONJ fumecheng-767 351 16 stated state VERB fumecheng-767 351 17 above above ADV fumecheng-767 351 18 . . PUNCT fumecheng-767 352 1 for for ADP fumecheng-767 352 2 partial partial ADJ fumecheng-767 352 3 contact contact NOUN fumecheng-767 352 4 of of ADP fumecheng-767 352 5 the the DET fumecheng-767 352 6 surfaces surface NOUN fumecheng-767 352 7 , , PUNCT fumecheng-767 352 8 the the DET fumecheng-767 352 9 temperature temperature NOUN fumecheng-767 352 10 will will AUX fumecheng-767 352 11 shift shift VERB fumecheng-767 352 12 differently differently ADV fumecheng-767 352 13 at at ADP fumecheng-767 352 14 contacting contact VERB fumecheng-767 352 15 and and CCONJ fumecheng-767 352 16 non non ADJ fumecheng-767 352 17 - - ADJ fumecheng-767 352 18 contacting contact VERB fumecheng-767 352 19 sites site NOUN fumecheng-767 352 20 . . PUNCT fumecheng-767 353 1 looking look VERB fumecheng-767 353 2 back back ADV fumecheng-767 353 3 at at ADP fumecheng-767 353 4 the the DET fumecheng-767 353 5 motivation motivation NOUN fumecheng-767 353 6 of of ADP fumecheng-767 353 7 this this DET fumecheng-767 353 8 study study NOUN fumecheng-767 353 9 we we PRON fumecheng-767 353 10 focus focus VERB fumecheng-767 353 11 on on ADP fumecheng-767 353 12 the the DET fumecheng-767 353 13 site site NOUN fumecheng-767 353 14 of of ADP fumecheng-767 353 15 highest high ADJ fumecheng-767 353 16 temperature temperature NOUN fumecheng-767 353 17 . . PUNCT fumecheng-767 354 1 this this DET fumecheng-767 354 2 temperature temperature NOUN fumecheng-767 354 3 called call VERB fumecheng-767 354 4 flash flash NOUN fumecheng-767 354 5 temperature temperature NOUN fumecheng-767 354 6 is be AUX fumecheng-767 354 7 the the DET fumecheng-767 354 8 maximal maximal ADJ fumecheng-767 354 9 temperature temperature NOUN fumecheng-767 354 10 that that PRON fumecheng-767 354 11 we we PRON fumecheng-767 354 12 find find VERB fumecheng-767 354 13 over over ADP fumecheng-767 354 14 all all DET fumecheng-767 354 15 sites site NOUN fumecheng-767 354 16 . . PUNCT fumecheng-767 355 1 certainly certainly ADV fumecheng-767 355 2 , , PUNCT fumecheng-767 355 3 it it PRON fumecheng-767 355 4 depends depend VERB fumecheng-767 355 5 on on ADP fumecheng-767 355 6 the the DET fumecheng-767 355 7 actual actual ADJ fumecheng-767 355 8 realization realization NOUN fumecheng-767 355 9 of of ADP fumecheng-767 355 10 the the DET fumecheng-767 355 11 surface surface NOUN fumecheng-767 355 12 . . PUNCT fumecheng-767 356 1 anyway anyway ADV fumecheng-767 356 2 , , PUNCT fumecheng-767 356 3 averaging average VERB fumecheng-767 356 4 over over ADP fumecheng-767 356 5 a a DET fumecheng-767 356 6 large large ADJ fumecheng-767 356 7 number number NOUN fumecheng-767 356 8 of of ADP fumecheng-767 356 9 realizations realization NOUN fumecheng-767 356 10 ( ( PUNCT fumecheng-767 356 11 200 200 NUM fumecheng-767 356 12 in in ADP fumecheng-767 356 13 our our PRON fumecheng-767 356 14 case case NOUN fumecheng-767 356 15 ) ) PUNCT fumecheng-767 356 16 we we PRON fumecheng-767 356 17 find find VERB fumecheng-767 356 18 a a DET fumecheng-767 356 19 rise rise NOUN fumecheng-767 356 20 of of ADP fumecheng-767 356 21 up up ADP fumecheng-767 356 22 to to PART fumecheng-767 356 23 5 5 NUM fumecheng-767 356 24 % % NOUN fumecheng-767 356 25 of of ADP fumecheng-767 356 26 the the DET fumecheng-767 356 27 temperature temperature NOUN fumecheng-767 356 28 at at ADP fumecheng-767 356 29 a a DET fumecheng-767 356 30 hurst hurst PROPN fumecheng-767 356 31 exponent exponent NOUN fumecheng-767 356 32 of of ADP fumecheng-767 356 33 h h NOUN fumecheng-767 356 34 = = NOUN fumecheng-767 356 35 0.7 0.7 NUM fumecheng-767 356 36 as as SCONJ fumecheng-767 356 37 shown show VERB fumecheng-767 356 38 in in ADP fumecheng-767 356 39 fig fig NOUN fumecheng-767 356 40 . . PUNCT fumecheng-767 357 1 6 6 NUM fumecheng-767 357 2 . . NUM fumecheng-767 357 3 62 62 NUM fumecheng-767 357 4 r. r. PROPN fumecheng-767 357 5 heise heise PROPN fumecheng-767 357 6 fig fig PROPN fumecheng-767 357 7 . . PROPN fumecheng-767 358 1 6 6 NUM fumecheng-767 358 2 normalized normalize VERB fumecheng-767 358 3 shift shift NOUN fumecheng-767 358 4 of of ADP fumecheng-767 358 5 the the DET fumecheng-767 358 6 flash flash NOUN fumecheng-767 358 7 temperature temperature NOUN fumecheng-767 358 8 as as ADP fumecheng-767 358 9 a a DET fumecheng-767 358 10 function function NOUN fumecheng-767 358 11 of of ADP fumecheng-767 358 12 normalized normalize VERB fumecheng-767 358 13 velocity velocity NOUN fumecheng-767 358 14 v v NOUN fumecheng-767 358 15 and and CCONJ fumecheng-767 358 16 normalized normalize VERB fumecheng-767 358 17 normal normal ADJ fumecheng-767 358 18 force force NOUN fumecheng-767 358 19 f f PROPN fumecheng-767 358 20 at at ADP fumecheng-767 358 21 h h NOUN fumecheng-767 358 22 = = NOUN fumecheng-767 358 23 0.7 0.7 NUM fumecheng-767 358 24 . . PUNCT fumecheng-767 359 1 for for ADP fumecheng-767 359 2 small small ADJ fumecheng-767 359 3 velocities velocity NOUN fumecheng-767 359 4 and and CCONJ fumecheng-767 359 5 forces force VERB fumecheng-767 359 6 the the DET fumecheng-767 359 7 flash flash NOUN fumecheng-767 359 8 temperature temperature NOUN fumecheng-767 359 9 shift shift NOUN fumecheng-767 359 10 is be AUX fumecheng-767 359 11 small small ADJ fumecheng-767 359 12 but but CCONJ fumecheng-767 359 13 is be AUX fumecheng-767 359 14 enhanced enhance VERB fumecheng-767 359 15 for for ADP fumecheng-767 359 16 higher high ADJ fumecheng-767 359 17 values value NOUN fumecheng-767 359 18 of of ADP fumecheng-767 359 19 these these DET fumecheng-767 359 20 quantities quantity NOUN fumecheng-767 359 21 as as SCONJ fumecheng-767 359 22 can can AUX fumecheng-767 359 23 be be AUX fumecheng-767 359 24 seen see VERB fumecheng-767 359 25 above above ADP fumecheng-767 359 26 the the DET fumecheng-767 359 27 temperature temperature NOUN fumecheng-767 359 28 shift shift NOUN fumecheng-767 359 29 is be AUX fumecheng-767 359 30 proportional proportional ADJ fumecheng-767 359 31 to to ADP fumecheng-767 359 32 the the DET fumecheng-767 359 33 power power NOUN fumecheng-767 359 34 generated generate VERB fumecheng-767 359 35 in in ADP fumecheng-767 359 36 each each DET fumecheng-767 359 37 element element NOUN fumecheng-767 359 38 . . PUNCT fumecheng-767 360 1 looking look VERB fumecheng-767 360 2 for for ADP fumecheng-767 360 3 its its PRON fumecheng-767 360 4 highest high ADJ fumecheng-767 360 5 value value NOUN fumecheng-767 360 6 one one PRON fumecheng-767 360 7 has have VERB fumecheng-767 360 8 to to PART fumecheng-767 360 9 distinguish distinguish VERB fumecheng-767 360 10 between between ADP fumecheng-767 360 11 contact contact NOUN fumecheng-767 360 12 and and CCONJ fumecheng-767 360 13 noncontact noncontact ADJ fumecheng-767 360 14 sites site NOUN fumecheng-767 360 15 . . PUNCT fumecheng-767 361 1 in in ADP fumecheng-767 361 2 non non ADJ fumecheng-767 361 3 - - ADJ fumecheng-767 361 4 contact contact ADJ fumecheng-767 361 5 sites site NOUN fumecheng-767 361 6 the the DET fumecheng-767 361 7 power power NOUN fumecheng-767 361 8 is be AUX fumecheng-767 361 9 proportional proportional ADJ fumecheng-767 361 10 to to ADP fumecheng-767 361 11 the the DET fumecheng-767 361 12 difference difference NOUN fumecheng-767 361 13 between between ADP fumecheng-767 361 14 the the DET fumecheng-767 361 15 coordinates coordinate NOUN fumecheng-767 361 16 squared square VERB fumecheng-767 361 17 . . PUNCT fumecheng-767 362 1 obviously obviously ADV fumecheng-767 362 2 , , PUNCT fumecheng-767 362 3 this this DET fumecheng-767 362 4 difference difference NOUN fumecheng-767 362 5 is be AUX fumecheng-767 362 6 largest large ADJ fumecheng-767 362 7 when when SCONJ fumecheng-767 362 8 the the DET fumecheng-767 362 9 detachment detachment NOUN fumecheng-767 362 10 of of ADP fumecheng-767 362 11 the the DET fumecheng-767 362 12 elastomer elastomer NOUN fumecheng-767 362 13 chain chain NOUN fumecheng-767 362 14 just just ADV fumecheng-767 362 15 occurred occur VERB fumecheng-767 362 16 . . PUNCT fumecheng-767 363 1 the the DET fumecheng-767 363 2 behavior behavior NOUN fumecheng-767 363 3 of of ADP fumecheng-767 363 4 the the DET fumecheng-767 363 5 free free ADJ fumecheng-767 363 6 elastomer elastomer NOUN fumecheng-767 363 7 surface surface NOUN fumecheng-767 363 8 is be AUX fumecheng-767 363 9 governed govern VERB fumecheng-767 363 10 by by ADP fumecheng-767 363 11 parameter parameter NOUN fumecheng-767 363 12 dt/. dt/. PROPN fumecheng-767 363 13 in in ADP fumecheng-767 363 14 contact contact NOUN fumecheng-767 363 15 sites site NOUN fumecheng-767 363 16 , , PUNCT fumecheng-767 363 17 the the DET fumecheng-767 363 18 picture picture NOUN fumecheng-767 363 19 is be AUX fumecheng-767 363 20 different different ADJ fumecheng-767 363 21 . . PUNCT fumecheng-767 364 1 here here ADV fumecheng-767 364 2 , , PUNCT fumecheng-767 364 3 the the DET fumecheng-767 364 4 elastomer elastomer NOUN fumecheng-767 364 5 surface surface NOUN fumecheng-767 364 6 follows follow VERB fumecheng-767 364 7 the the DET fumecheng-767 364 8 rigid rigid ADJ fumecheng-767 364 9 profile profile NOUN fumecheng-767 364 10 . . PUNCT fumecheng-767 365 1 hence hence ADV fumecheng-767 365 2 it it PRON fumecheng-767 365 3 maps map VERB fumecheng-767 365 4 the the DET fumecheng-767 365 5 surface surface NOUN fumecheng-767 365 6 topology topology NOUN fumecheng-767 365 7 of of ADP fumecheng-767 365 8 the the DET fumecheng-767 365 9 rough rough ADJ fumecheng-767 365 10 surface surface NOUN fumecheng-767 365 11 into into ADP fumecheng-767 365 12 the the DET fumecheng-767 365 13 dynamic dynamic ADJ fumecheng-767 365 14 behavior behavior NOUN fumecheng-767 365 15 of of ADP fumecheng-767 365 16 the the DET fumecheng-767 365 17 elastomer elastomer NOUN fumecheng-767 365 18 . . PUNCT fumecheng-767 366 1 from from ADP fumecheng-767 366 2 fig fig NOUN fumecheng-767 366 3 . . PUNCT fumecheng-767 367 1 7 7 NUM fumecheng-767 367 2 we we PRON fumecheng-767 367 3 see see VERB fumecheng-767 367 4 different different ADJ fumecheng-767 367 5 behavior behavior NOUN fumecheng-767 367 6 of of ADP fumecheng-767 367 7 the the DET fumecheng-767 367 8 flash flash NOUN fumecheng-767 367 9 temperature temperature NOUN fumecheng-767 367 10 depending depend VERB fumecheng-767 367 11 on on ADP fumecheng-767 367 12 the the DET fumecheng-767 367 13 contact contact NOUN fumecheng-767 367 14 configuration configuration NOUN fumecheng-767 367 15 . . PUNCT fumecheng-767 368 1 for for ADP fumecheng-767 368 2 high high ADJ fumecheng-767 368 3 normal normal ADJ fumecheng-767 368 4 force force NOUN fumecheng-767 368 5 ( ( PUNCT fumecheng-767 368 6 lhs lhs PROPN fumecheng-767 368 7 ) ) PUNCT fumecheng-767 368 8 the the DET fumecheng-767 368 9 contacts contact NOUN fumecheng-767 368 10 saturate saturate VERB fumecheng-767 368 11 , , PUNCT fumecheng-767 368 12 i.e. i.e. X fumecheng-767 368 13 there there PRON fumecheng-767 368 14 is be VERB fumecheng-767 368 15 full full ADJ fumecheng-767 368 16 contact contact NOUN fumecheng-767 368 17 . . PUNCT fumecheng-767 369 1 the the DET fumecheng-767 369 2 flash flash NOUN fumecheng-767 369 3 temperature temperature NOUN fumecheng-767 369 4 shift shift NOUN fumecheng-767 369 5 increases increase NOUN fumecheng-767 369 6 with with ADP fumecheng-767 369 7 the the DET fumecheng-767 369 8 normal normal ADJ fumecheng-767 369 9 load load NOUN fumecheng-767 369 10 linearly linearly ADV fumecheng-767 369 11 . . PUNCT fumecheng-767 370 1 for for ADP fumecheng-767 370 2 lower low ADJ fumecheng-767 370 3 loads load NOUN fumecheng-767 370 4 , , PUNCT fumecheng-767 370 5 the the DET fumecheng-767 370 6 relative relative ADJ fumecheng-767 370 7 contact contact NOUN fumecheng-767 370 8 number number NOUN fumecheng-767 370 9 depends depend VERB fumecheng-767 370 10 on on ADP fumecheng-767 370 11 the the DET fumecheng-767 370 12 hurst hurst PROPN fumecheng-767 370 13 exponent exponent NOUN fumecheng-767 370 14 of of ADP fumecheng-767 370 15 the the DET fumecheng-767 370 16 rigid rigid ADJ fumecheng-767 370 17 surface surface NOUN fumecheng-767 370 18 . . PUNCT fumecheng-767 371 1 on on ADP fumecheng-767 371 2 the the DET fumecheng-767 371 3 right right ADJ fumecheng-767 371 4 hand hand NOUN fumecheng-767 371 5 side side NOUN fumecheng-767 371 6 , , PUNCT fumecheng-767 371 7 the the DET fumecheng-767 371 8 normal normal ADJ fumecheng-767 371 9 force force NOUN fumecheng-767 371 10 is be AUX fumecheng-767 371 11 held hold VERB fumecheng-767 371 12 constant constant ADJ fumecheng-767 371 13 . . PUNCT fumecheng-767 372 1 here here ADV fumecheng-767 372 2 the the DET fumecheng-767 372 3 number number NOUN fumecheng-767 372 4 of of ADP fumecheng-767 372 5 contacts contact NOUN fumecheng-767 372 6 is be AUX fumecheng-767 372 7 constant constant ADJ fumecheng-767 372 8 for for ADP fumecheng-767 372 9 low low ADJ fumecheng-767 372 10 velocities velocity NOUN fumecheng-767 372 11 . . PUNCT fumecheng-767 373 1 for for ADP fumecheng-767 373 2 higher high ADJ fumecheng-767 373 3 speeds speed NOUN fumecheng-767 373 4 , , PUNCT fumecheng-767 373 5 more more ADJ fumecheng-767 373 6 contacts contact NOUN fumecheng-767 373 7 are be AUX fumecheng-767 373 8 broken break VERB fumecheng-767 373 9 . . PUNCT fumecheng-767 374 1 for for ADP fumecheng-767 374 2 the the DET fumecheng-767 374 3 flash flash NOUN fumecheng-767 374 4 temperature temperature NOUN fumecheng-767 374 5 this this PRON fumecheng-767 374 6 means mean VERB fumecheng-767 374 7 that that SCONJ fumecheng-767 374 8 , , PUNCT fumecheng-767 374 9 after after ADP fumecheng-767 374 10 having have VERB fumecheng-767 374 11 a a DET fumecheng-767 374 12 linear linear ADJ fumecheng-767 374 13 dependence dependence NOUN fumecheng-767 374 14 on on ADP fumecheng-767 374 15 the the DET fumecheng-767 374 16 velocity velocity NOUN fumecheng-767 374 17 , , PUNCT fumecheng-767 374 18 it it PRON fumecheng-767 374 19 saturates saturate VERB fumecheng-767 374 20 further far ADV fumecheng-767 374 21 on on ADP fumecheng-767 374 22 beginning begin VERB fumecheng-767 374 23 for for ADP fumecheng-767 374 24 rough rough ADJ fumecheng-767 374 25 surfaces surface NOUN fumecheng-767 374 26 with with ADP fumecheng-767 374 27 a a DET fumecheng-767 374 28 low low ADJ fumecheng-767 374 29 hurst hurst PROPN fumecheng-767 374 30 exponent exponent NOUN fumecheng-767 374 31 . . PUNCT fumecheng-767 375 1 we we PRON fumecheng-767 375 2 propose propose VERB fumecheng-767 375 3 the the DET fumecheng-767 375 4 following follow VERB fumecheng-767 375 5 power power NOUN fumecheng-767 375 6 law law NOUN fumecheng-767 375 7 dependencies dependency NOUN fumecheng-767 375 8 of of ADP fumecheng-767 375 9 the the DET fumecheng-767 375 10 flash flash NOUN fumecheng-767 375 11 temperature temperature NOUN fumecheng-767 375 12 shift shift NOUN fumecheng-767 375 13 and and CCONJ fumecheng-767 375 14 the the DET fumecheng-767 375 15 relative relative ADJ fumecheng-767 375 16 contacts contact NOUN fumecheng-767 375 17 0 0 NUM fumecheng-767 375 18 1 1 NUM fumecheng-767 375 19 t t NOUN fumecheng-767 375 20 t t PROPN fumecheng-767 375 21 n n CCONJ fumecheng-767 375 22 n n PROPN fumecheng-767 375 23 max max PROPN fumecheng-767 375 24 cont cont PROPN fumecheng-767 375 25 t t PROPN fumecheng-767 375 26 v v NOUN fumecheng-767 375 27 f f PROPN fumecheng-767 375 28 t t PROPN fumecheng-767 375 29 n n PROPN fumecheng-767 375 30 v v PROPN fumecheng-767 375 31 f f PROPN fumecheng-767 375 32 n n PROPN fumecheng-767 375 33   NUM fumecheng-767 375 34   NUM fumecheng-767 375 35   NUM fumecheng-767 376 1   NUM fumecheng-767 376 2   PROPN fumecheng-767 376 3   NOUN fumecheng-767 376 4   NOUN fumecheng-767 376 5 ( ( PUNCT fumecheng-767 376 6 57 57 NUM fumecheng-767 376 7 ) ) PUNCT fumecheng-767 376 8 with with ADP fumecheng-767 376 9 the the DET fumecheng-767 376 10 empirical empirical ADJ fumecheng-767 376 11 exponents exponent NOUN fumecheng-767 376 12 flash flash VERB fumecheng-767 376 13 temperatures temperature NOUN fumecheng-767 376 14 generated generate VERB fumecheng-767 376 15 by by ADP fumecheng-767 376 16 friction friction NOUN fumecheng-767 376 17 of of ADP fumecheng-767 376 18 a a DET fumecheng-767 376 19 viscoelastic viscoelastic ADJ fumecheng-767 376 20 body body NOUN fumecheng-767 376 21 63 63 NUM fumecheng-767 376 22 fig fig NOUN fumecheng-767 376 23 . . PUNCT fumecheng-767 377 1 7 7 NUM fumecheng-767 377 2 relative relative ADJ fumecheng-767 377 3 contacts contact NOUN fumecheng-767 377 4 ( ( PUNCT fumecheng-767 377 5 ncont ncont NOUN fumecheng-767 377 6 / / SYM fumecheng-767 377 7 n n CCONJ fumecheng-767 377 8 , , PUNCT fumecheng-767 377 9 upper upper ADJ fumecheng-767 377 10 row row NOUN fumecheng-767 377 11 ) ) PUNCT fumecheng-767 377 12 and and CCONJ fumecheng-767 377 13 normalized normalize VERB fumecheng-767 377 14 shift shift NOUN fumecheng-767 377 15 of of ADP fumecheng-767 377 16 the the DET fumecheng-767 377 17 flash flash NOUN fumecheng-767 377 18 temperature temperature NOUN fumecheng-767 377 19 ( ( PUNCT fumecheng-767 377 20 lower low ADJ fumecheng-767 377 21 row row NOUN fumecheng-767 377 22 ) ) PUNCT fumecheng-767 377 23 as as ADP fumecheng-767 377 24 a a DET fumecheng-767 377 25 function function NOUN fumecheng-767 377 26 of of ADP fumecheng-767 377 27 normalized normalize VERB fumecheng-767 377 28 normal normal ADJ fumecheng-767 377 29 force force NOUN fumecheng-767 377 30 f f PROPN fumecheng-767 377 31 ( ( PUNCT fumecheng-767 377 32 left leave VERB fumecheng-767 377 33 , , PUNCT fumecheng-767 377 34 velocity velocity NOUN fumecheng-767 377 35 constant constant ADJ fumecheng-767 377 36 0.1v 0.1v ADV fumecheng-767 377 37   NOUN fumecheng-767 377 38 ) ) PUNCT fumecheng-767 377 39 and and CCONJ fumecheng-767 377 40 normalized normalize VERB fumecheng-767 377 41 velocity velocity NOUN fumecheng-767 377 42 v v NOUN fumecheng-767 377 43 ( ( PUNCT fumecheng-767 377 44 right right ADJ fumecheng-767 377 45 , , PUNCT fumecheng-767 377 46 normal normal ADJ fumecheng-767 377 47 force force NOUN fumecheng-767 377 48 constant constant ADJ fumecheng-767 377 49 0.5f 0.5f NOUN fumecheng-767 377 50   NUM fumecheng-767 377 51 ) ) PUNCT fumecheng-767 377 52 for for ADP fumecheng-767 377 53 different different ADJ fumecheng-767 377 54 values value NOUN fumecheng-767 377 55 of of ADP fumecheng-767 377 56 the the DET fumecheng-767 377 57 hurst hurst PROPN fumecheng-767 377 58 exponent exponent NOUN fumecheng-767 377 59 1.6 1.6 NUM fumecheng-767 377 60 , , PUNCT fumecheng-767 377 61 0 0 NUM fumecheng-767 377 62 ( ( PUNCT fumecheng-767 377 63 ) ) PUNCT fumecheng-767 377 64 1.69 1.69 NUM fumecheng-767 377 65 0.64 0.64 NUM fumecheng-767 377 66 , , PUNCT fumecheng-767 377 67 0 0 NUM fumecheng-767 377 68 1 1 NUM fumecheng-767 377 69 1 1 NUM fumecheng-767 377 70 , , PUNCT fumecheng-767 377 71 1 1 NUM fumecheng-767 377 72 3 3 NUM fumecheng-767 377 73 0.4 0.4 NUM fumecheng-767 377 74 , , PUNCT fumecheng-767 377 75 0 0 NUM fumecheng-767 377 76 ( ( PUNCT fumecheng-767 377 77 ) ) PUNCT fumecheng-767 377 78 0.32 0.32 NUM fumecheng-767 377 79 0.26 0.26 NUM fumecheng-767 377 80 , , PUNCT fumecheng-767 377 81 0 0 NUM fumecheng-767 377 82 2 2 NUM fumecheng-767 377 83 0.84 0.84 NUM fumecheng-767 377 84 , , PUNCT fumecheng-767 377 85 2 2 NUM fumecheng-767 377 86 3 3 NUM fumecheng-767 377 87 1 1 NUM fumecheng-767 377 88 , , PUNCT fumecheng-767 377 89 0 0 NUM fumecheng-767 377 90 ( ( PUNCT fumecheng-767 377 91 ) ) PUNCT fumecheng-767 377 92 0.87 0.87 NUM fumecheng-767 377 93 0.84 0.84 NUM fumecheng-767 377 94 , , PUNCT fumecheng-767 377 95 0 0 NUM fumecheng-767 377 96 1 1 NUM fumecheng-767 377 97 0 0 NUM fumecheng-767 377 98 , , PUNCT fumecheng-767 377 99 1 1 NUM fumecheng-767 377 100 3 3 NUM fumecheng-767 377 101 0.8 0.8 NUM fumecheng-767 377 102 , , PUNCT fumecheng-767 377 103 0 0 NUM fumecheng-767 377 104 ( ( PUNCT fumecheng-767 377 105 ) ) PUNCT fumecheng-767 377 106 0.8 0.8 NUM fumecheng-767 377 107 0.3 0.3 NUM fumecheng-767 377 108 , , PUNCT fumecheng-767 377 109 0 0 NUM fumecheng-767 377 110 1 1 NUM fumecheng-767 377 111 0.5 0.5 NUM fumecheng-767 377 112 , , PUNCT fumecheng-767 377 113 1 1 NUM fumecheng-767 377 114 3 3 NUM fumecheng-767 377 115 t t NOUN fumecheng-767 377 116 t t PROPN fumecheng-767 377 117 n n CCONJ fumecheng-767 377 118 n n PROPN fumecheng-767 377 119 h h NOUN fumecheng-767 377 120 h h NOUN fumecheng-767 377 121 h h NOUN fumecheng-767 378 1 h h NOUN fumecheng-767 379 1 h h NOUN fumecheng-767 380 1 h h NOUN fumecheng-767 381 1 h h NOUN fumecheng-767 382 1 h h NOUN fumecheng-767 383 1 h h NOUN fumecheng-767 384 1 h h NOUN fumecheng-767 385 1 h h NOUN fumecheng-767 386 1 h h NOUN fumecheng-767 387 1 h h NOUN fumecheng-767 388 1 h h NOUN fumecheng-767 389 1 h h NOUN fumecheng-767 390 1 h h NOUN fumecheng-767 391 1 h h NOUN fumecheng-767 392 1 h h NOUN fumecheng-767 393 1 h h NOUN fumecheng-767 394 1 h h PROPN fumecheng-767 394 2   NUM fumecheng-767 394 3   NUM fumecheng-767 394 4   NUM fumecheng-767 394 5   NUM fumecheng-767 394 6   NOUN fumecheng-767 395 1   NUM fumecheng-767 395 2   NUM fumecheng-767 395 3   NUM fumecheng-767 395 4   PROPN fumecheng-767 395 5   PROPN fumecheng-767 395 6   PROPN fumecheng-767 395 7   VERB fumecheng-767 395 8   PROPN fumecheng-767 395 9   NOUN fumecheng-767 395 10   NUM fumecheng-767 395 11   NUM fumecheng-767 395 12   PROPN fumecheng-767 396 1   NOUN fumecheng-767 397 1   NUM fumecheng-767 397 2   NUM fumecheng-767 397 3   NUM fumecheng-767 397 4   PROPN fumecheng-767 397 5   ADJ fumecheng-767 397 6   NOUN fumecheng-767 397 7   VERB fumecheng-767 397 8   PROPN fumecheng-767 397 9   NOUN fumecheng-767 397 10   NUM fumecheng-767 397 11   NUM fumecheng-767 397 12   NUM fumecheng-767 397 13   NOUN fumecheng-767 397 14   NOUN fumecheng-767 397 15   NUM fumecheng-767 397 16   NUM fumecheng-767 397 17   NUM fumecheng-767 397 18   PROPN fumecheng-767 397 19   PROPN fumecheng-767 397 20   PART fumecheng-767 397 21   NOUN fumecheng-767 397 22   VERB fumecheng-767 397 23   PROPN fumecheng-767 397 24   NOUN fumecheng-767 397 25   NUM fumecheng-767 398 1   NUM fumecheng-767 398 2   PROPN fumecheng-767 398 3   NOUN fumecheng-767 398 4   NUM fumecheng-767 398 5   NUM fumecheng-767 398 6   NUM fumecheng-767 398 7   PROPN fumecheng-767 398 8   PROPN fumecheng-767 398 9   PROPN fumecheng-767 398 10   VERB fumecheng-767 398 11   PROPN fumecheng-767 398 12   NOUN fumecheng-767 398 13   NUM fumecheng-767 399 1   NUM fumecheng-767 399 2   PROPN fumecheng-767 399 3 ( ( PUNCT fumecheng-767 399 4 58 58 NUM fumecheng-767 399 5 ) ) PUNCT fumecheng-767 399 6 fig fig NOUN fumecheng-767 399 7 . . PUNCT fumecheng-767 399 8 8 8 NUM fumecheng-767 399 9 shows show VERB fumecheng-767 399 10 the the DET fumecheng-767 399 11 numerical numerical ADJ fumecheng-767 399 12 fits fit NOUN fumecheng-767 399 13 of of ADP fumecheng-767 399 14 the the DET fumecheng-767 399 15 slope slope NOUN fumecheng-767 399 16 , , PUNCT fumecheng-767 399 17 i.e. i.e. X fumecheng-767 399 18 the the DET fumecheng-767 399 19 exponents exponent NOUN fumecheng-767 399 20 of of ADP fumecheng-767 399 21 the the DET fumecheng-767 399 22 normalized normalize VERB fumecheng-767 399 23 normal normal ADJ fumecheng-767 399 24 force force NOUN fumecheng-767 399 25 and and CCONJ fumecheng-767 399 26 velocity velocity NOUN fumecheng-767 399 27 in in ADP fumecheng-767 399 28 the the DET fumecheng-767 399 29 ranges range NOUN fumecheng-767 399 30 as as SCONJ fumecheng-767 399 31 indicated indicate VERB fumecheng-767 399 32 in in ADP fumecheng-767 399 33 fig.7 fig.7 ADJ fumecheng-767 399 34 . . PUNCT fumecheng-767 400 1 64 64 NUM fumecheng-767 400 2 r. r. PROPN fumecheng-767 400 3 heise heise PROPN fumecheng-767 400 4 fig fig PROPN fumecheng-767 400 5 . . PUNCT fumecheng-767 401 1 8 8 NUM fumecheng-767 401 2 numerical numerical ADJ fumecheng-767 401 3 fits fit NOUN fumecheng-767 401 4 of of ADP fumecheng-767 401 5 the the DET fumecheng-767 401 6 exponents exponent NOUN fumecheng-767 401 7 of of ADP fumecheng-767 401 8 normalized normalize VERB fumecheng-767 401 9 normal normal ADJ fumecheng-767 401 10 force force NOUN fumecheng-767 401 11 ( ( PUNCT fumecheng-767 401 12 left leave VERB fumecheng-767 401 13 , , PUNCT fumecheng-767 401 14 velocity velocity NOUN fumecheng-767 401 15 constant constant ADJ fumecheng-767 401 16 ) ) PUNCT fumecheng-767 401 17 and and CCONJ fumecheng-767 401 18 normalized normalize VERB fumecheng-767 401 19 velocity velocity NOUN fumecheng-767 401 20 ( ( PUNCT fumecheng-767 401 21 right right ADJ fumecheng-767 401 22 , , PUNCT fumecheng-767 401 23 force force NOUN fumecheng-767 401 24 constant constant ADJ fumecheng-767 401 25 ) ) PUNCT fumecheng-767 401 26 for for ADP fumecheng-767 401 27 relative relative ADJ fumecheng-767 401 28 contacts contact NOUN fumecheng-767 401 29 ( ( PUNCT fumecheng-767 401 30 upper upper ADJ fumecheng-767 401 31 row row NOUN fumecheng-767 401 32 ) ) PUNCT fumecheng-767 401 33 and and CCONJ fumecheng-767 401 34 normalized normalize VERB fumecheng-767 401 35 shift shift NOUN fumecheng-767 401 36 of of ADP fumecheng-767 401 37 the the DET fumecheng-767 401 38 flash flash NOUN fumecheng-767 401 39 temperature temperature NOUN fumecheng-767 401 40 ( ( PUNCT fumecheng-767 401 41 lower low ADJ fumecheng-767 401 42 row row NOUN fumecheng-767 401 43 ) ) PUNCT fumecheng-767 401 44 in in SCONJ fumecheng-767 401 45 the the DET fumecheng-767 401 46 power power NOUN fumecheng-767 401 47 law law NOUN fumecheng-767 401 48 eq.(57 eq.(57 VERB fumecheng-767 401 49 ) ) PUNCT fumecheng-767 401 50 as as ADP fumecheng-767 401 51 a a DET fumecheng-767 401 52 function function NOUN fumecheng-767 401 53 of of ADP fumecheng-767 401 54 the the DET fumecheng-767 401 55 hurst hurst PROPN fumecheng-767 401 56 exponent exponent NOUN fumecheng-767 401 57 the the DET fumecheng-767 401 58 fit fit NOUN fumecheng-767 401 59 in in ADP fumecheng-767 401 60 the the DET fumecheng-767 401 61 upper upper ADJ fumecheng-767 401 62 left left NOUN fumecheng-767 401 63 corner corner NOUN fumecheng-767 401 64 resembles resemble VERB fumecheng-767 401 65 the the DET fumecheng-767 401 66 result result NOUN fumecheng-767 401 67 of of ADP fumecheng-767 401 68 pohrt pohrt NOUN fumecheng-767 401 69 and and CCONJ fumecheng-767 401 70 popov popov NOUN fumecheng-767 402 1 [ [ X fumecheng-767 402 2 23 23 NUM fumecheng-767 402 3 ] ] PUNCT fumecheng-767 402 4 for for ADP fumecheng-767 402 5 the the DET fumecheng-767 402 6 purely purely ADV fumecheng-767 402 7 elastic elastic ADJ fumecheng-767 402 8 indentation indentation NOUN fumecheng-767 402 9 . . PUNCT fumecheng-767 403 1 furthermore furthermore ADV fumecheng-767 403 2 , , PUNCT fumecheng-767 403 3 as as SCONJ fumecheng-767 403 4 already already ADV fumecheng-767 403 5 seen see VERB fumecheng-767 403 6 in in ADP fumecheng-767 403 7 eq eq ADP fumecheng-767 403 8 . . PUNCT fumecheng-767 404 1 ( ( PUNCT fumecheng-767 404 2 6 6 NUM fumecheng-767 404 3 ) ) PUNCT fumecheng-767 404 4 , , PUNCT fumecheng-767 404 5 the the DET fumecheng-767 404 6 most most ADV fumecheng-767 404 7 interesting interesting ADJ fumecheng-767 404 8 range range NOUN fumecheng-767 404 9 for for ADP fumecheng-767 404 10 the the DET fumecheng-767 404 11 investigation investigation NOUN fumecheng-767 404 12 of of ADP fumecheng-767 404 13 different different ADJ fumecheng-767 404 14 hurst hurst PROPN fumecheng-767 404 15 exponents exponents PROPN fumecheng-767 404 16 is be AUX fumecheng-767 404 17 [ [ X fumecheng-767 404 18 0,1 0,1 NUM fumecheng-767 404 19 ] ] PUNCT fumecheng-767 404 20 . . PUNCT fumecheng-767 405 1 for for ADP fumecheng-767 405 2 hurst hurst PROPN fumecheng-767 405 3 exponents exponent NOUN fumecheng-767 405 4 up up ADP fumecheng-767 405 5 to to ADP fumecheng-767 405 6 0 0 NUM fumecheng-767 405 7 , , PUNCT fumecheng-767 405 8 the the DET fumecheng-767 405 9 flash flash NOUN fumecheng-767 405 10 temperature temperature NOUN fumecheng-767 405 11 depends depend VERB fumecheng-767 405 12 on on ADP fumecheng-767 405 13 the the DET fumecheng-767 405 14 normal normal ADJ fumecheng-767 405 15 force force NOUN fumecheng-767 405 16 with with ADP fumecheng-767 405 17 an an DET fumecheng-767 405 18 exponent exponent NOUN fumecheng-767 405 19 close close ADV fumecheng-767 405 20 to to ADP fumecheng-767 405 21 0.4 0.4 NUM fumecheng-767 405 22 . . PUNCT fumecheng-767 406 1 in in ADP fumecheng-767 406 2 the the DET fumecheng-767 406 3 intermediate intermediate ADJ fumecheng-767 406 4 range range NOUN fumecheng-767 406 5 from from ADP fumecheng-767 406 6 0 0 NUM fumecheng-767 406 7 to to ADP fumecheng-767 406 8 2 2 NUM fumecheng-767 406 9 , , PUNCT fumecheng-767 406 10 the the DET fumecheng-767 406 11 exponent exponent NOUN fumecheng-767 406 12 increases increase VERB fumecheng-767 406 13 to to ADP fumecheng-767 406 14 0.8 0.8 NUM fumecheng-767 406 15 . . PUNCT fumecheng-767 407 1 for for ADP fumecheng-767 407 2 constant constant ADJ fumecheng-767 407 3 forces force NOUN fumecheng-767 407 4 ( ( PUNCT fumecheng-767 407 5 rhs rhs PROPN fumecheng-767 407 6 ) ) PUNCT fumecheng-767 407 7 , , PUNCT fumecheng-767 407 8 the the DET fumecheng-767 407 9 flash flash NOUN fumecheng-767 407 10 temperature temperature NOUN fumecheng-767 407 11 shift shift NOUN fumecheng-767 407 12 is be AUX fumecheng-767 407 13 depends depend VERB fumecheng-767 407 14 on on ADP fumecheng-767 407 15 the the DET fumecheng-767 407 16 velocity velocity NOUN fumecheng-767 407 17 with with ADP fumecheng-767 407 18 an an DET fumecheng-767 407 19 exponent exponent NOUN fumecheng-767 407 20 of of ADP fumecheng-767 407 21 about about ADP fumecheng-767 407 22 1.6 1.6 NUM fumecheng-767 407 23 for for ADP fumecheng-767 407 24 low low ADJ fumecheng-767 407 25 hurst hurst PROPN fumecheng-767 407 26 exponents exponent NOUN fumecheng-767 407 27 . . PUNCT fumecheng-767 408 1 the the DET fumecheng-767 408 2 exponent exponent NOUN fumecheng-767 408 3 then then ADV fumecheng-767 408 4 decreases decrease VERB fumecheng-767 408 5 to to ADP fumecheng-767 408 6 values value NOUN fumecheng-767 408 7 about about ADP fumecheng-767 408 8 1 1 NUM fumecheng-767 408 9 for for ADP fumecheng-767 408 10 hurst hurst PROPN fumecheng-767 408 11 exponents exponent NOUN fumecheng-767 408 12 larger large ADJ fumecheng-767 408 13 than than ADP fumecheng-767 408 14 1 1 NUM fumecheng-767 408 15 . . NOUN fumecheng-767 408 16 4 4 NUM fumecheng-767 408 17 . . X fumecheng-767 409 1 conclusions conclusion NOUN fumecheng-767 409 2 and and CCONJ fumecheng-767 409 3 outlook outlook NOUN fumecheng-767 409 4 we we PRON fumecheng-767 409 5 have have AUX fumecheng-767 409 6 found find VERB fumecheng-767 409 7 in in ADP fumecheng-767 409 8 the the DET fumecheng-767 409 9 framework framework NOUN fumecheng-767 409 10 of of ADP fumecheng-767 409 11 the the DET fumecheng-767 409 12 mdr mdr PROPN fumecheng-767 409 13 a a DET fumecheng-767 409 14 strong strong ADJ fumecheng-767 409 15 implication implication NOUN fumecheng-767 409 16 that that SCONJ fumecheng-767 409 17 we we PRON fumecheng-767 409 18 can can AUX fumecheng-767 409 19 study study VERB fumecheng-767 409 20 the the DET fumecheng-767 409 21 temperature temperature NOUN fumecheng-767 409 22 dependence dependence NOUN fumecheng-767 409 23 in in ADP fumecheng-767 409 24 the the DET fumecheng-767 409 25 frictional frictional ADJ fumecheng-767 409 26 contact contact NOUN fumecheng-767 409 27 of of ADP fumecheng-767 409 28 an an DET fumecheng-767 409 29 elastomer elastomer NOUN fumecheng-767 409 30 with with ADP fumecheng-767 409 31 a a DET fumecheng-767 409 32 rough rough ADJ fumecheng-767 409 33 surface surface NOUN fumecheng-767 409 34 in in ADP fumecheng-767 409 35 a a DET fumecheng-767 409 36 simple simple ADJ fumecheng-767 409 37 kelvin kelvin PROPN fumecheng-767 409 38 model model PROPN fumecheng-767 409 39 . . PUNCT fumecheng-767 410 1 we we PRON fumecheng-767 410 2 have have AUX fumecheng-767 410 3 accomplished accomplish VERB fumecheng-767 410 4 a a DET fumecheng-767 410 5 shift shift NOUN fumecheng-767 410 6 in in ADP fumecheng-767 410 7 mean mean ADJ fumecheng-767 410 8 temperature temperature NOUN fumecheng-767 410 9 as as ADV fumecheng-767 410 10 well well ADV fumecheng-767 410 11 in in ADP fumecheng-767 410 12 the the DET fumecheng-767 410 13 flash flash NOUN fumecheng-767 410 14 temperature temperature NOUN fumecheng-767 410 15 . . PUNCT fumecheng-767 411 1 the the DET fumecheng-767 411 2 shift shift NOUN fumecheng-767 411 3 has have AUX fumecheng-767 411 4 been be AUX fumecheng-767 411 5 explored explore VERB fumecheng-767 411 6 as as ADP fumecheng-767 411 7 a a DET fumecheng-767 411 8 power power NOUN fumecheng-767 411 9 law law NOUN fumecheng-767 411 10 of of ADP fumecheng-767 411 11 the the DET fumecheng-767 411 12 dimensionless dimensionless ADJ fumecheng-767 411 13 normal normal ADJ fumecheng-767 411 14 force force NOUN fumecheng-767 411 15 and and CCONJ fumecheng-767 411 16 velocity velocity NOUN fumecheng-767 411 17 . . PUNCT fumecheng-767 412 1 the the DET fumecheng-767 412 2 numerical numerical ADJ fumecheng-767 412 3 fits fit NOUN fumecheng-767 412 4 of of ADP fumecheng-767 412 5 the the DET fumecheng-767 412 6 exponents exponent NOUN fumecheng-767 412 7 in in ADP fumecheng-767 412 8 the the DET fumecheng-767 412 9 power power NOUN fumecheng-767 412 10 laws law NOUN fumecheng-767 412 11 have have AUX fumecheng-767 412 12 been be AUX fumecheng-767 412 13 carried carry VERB fumecheng-767 412 14 out out ADP fumecheng-767 412 15 and and CCONJ fumecheng-767 412 16 the the DET fumecheng-767 412 17 corresponding corresponding ADJ fumecheng-767 412 18 dependence dependence NOUN fumecheng-767 412 19 on on ADP fumecheng-767 412 20 the the DET fumecheng-767 412 21 hurst hurst PROPN fumecheng-767 412 22 exponent exponent PROPN fumecheng-767 412 23 proposed propose VERB fumecheng-767 412 24 . . PUNCT fumecheng-767 413 1 further further ADJ fumecheng-767 413 2 research research NOUN fumecheng-767 413 3 can can AUX fumecheng-767 413 4 include include VERB fumecheng-767 413 5 more more ADV fumecheng-767 413 6 realistic realistic ADJ fumecheng-767 413 7 elastomer elastomer NOUN fumecheng-767 413 8 models model NOUN fumecheng-767 413 9 and and CCONJ fumecheng-767 413 10 lead lead VERB fumecheng-767 413 11 to to ADP fumecheng-767 413 12 the the DET fumecheng-767 413 13 temperature temperature NOUN fumecheng-767 413 14 flash flash NOUN fumecheng-767 413 15 temperatures temperature NOUN fumecheng-767 413 16 generated generate VERB fumecheng-767 413 17 by by ADP fumecheng-767 413 18 friction friction NOUN fumecheng-767 413 19 of of ADP fumecheng-767 413 20 a a DET fumecheng-767 413 21 viscoelastic viscoelastic ADJ fumecheng-767 413 22 body body NOUN fumecheng-767 413 23 65 65 NUM fumecheng-767 413 24 dependence dependence NOUN fumecheng-767 413 25 of of ADP fumecheng-767 413 26 the the DET fumecheng-767 413 27 coefficient coefficient NOUN fumecheng-767 413 28 of of ADP fumecheng-767 413 29 friction friction NOUN fumecheng-767 413 30 itself itself PRON fumecheng-767 413 31 . . PUNCT fumecheng-767 414 1 furthermore furthermore ADV fumecheng-767 414 2 a a DET fumecheng-767 414 3 reduction reduction NOUN fumecheng-767 414 4 of of ADP fumecheng-767 414 5 the the DET fumecheng-767 414 6 parameter parameter NOUN fumecheng-767 414 7 space space NOUN fumecheng-767 414 8 by by ADP fumecheng-767 414 9 dimensionless dimensionless NOUN fumecheng-767 414 10 quantities quantity NOUN fumecheng-767 414 11 is be AUX fumecheng-767 414 12 appropriate appropriate ADJ fumecheng-767 414 13 . . PUNCT fumecheng-767 415 1 acknowledgements acknowledgement NOUN fumecheng-767 415 2 : : PUNCT fumecheng-767 415 3 we we PRON fumecheng-767 415 4 are be AUX fumecheng-767 415 5 grateful grateful ADJ fumecheng-767 415 6 to to ADP fumecheng-767 415 7 v. v. PROPN fumecheng-767 415 8 l. l. PROPN fumecheng-767 415 9 popov popov PROPN fumecheng-767 415 10 and and CCONJ fumecheng-767 415 11 s. s. PROPN fumecheng-767 415 12 kürschner kürschner PROPN fumecheng-767 415 13 for for ADP fumecheng-767 415 14 discussions discussion NOUN fumecheng-767 415 15 . . PUNCT fumecheng-767 416 1 the the DET fumecheng-767 416 2 author author NOUN fumecheng-767 416 3 is be AUX fumecheng-767 416 4 financially financially ADV fumecheng-767 416 5 supported support VERB fumecheng-767 416 6 by by ADP fumecheng-767 416 7 dfg dfg PROPN fumecheng-767 416 8 project project NOUN fumecheng-767 416 9 po po NOUN fumecheng-767 416 10 810/12 810/12 PROPN fumecheng-767 416 11 - - SYM fumecheng-767 416 12 2 2 NUM fumecheng-767 416 13 . . PUNCT fumecheng-767 416 14 references reference NOUN fumecheng-767 416 15 1 1 NUM fumecheng-767 416 16 . . PUNCT fumecheng-767 417 1 f. f. PROPN fumecheng-767 417 2 p. p. PROPN fumecheng-767 417 3 bowden bowden PROPN fumecheng-767 417 4 , , PUNCT fumecheng-767 417 5 d. d. PROPN fumecheng-767 417 6 tabor tabor PROPN fumecheng-767 417 7 , , PUNCT fumecheng-767 417 8 1985 1985 NUM fumecheng-767 417 9 , , PUNCT fumecheng-767 417 10 the the DET fumecheng-767 417 11 friction friction NOUN fumecheng-767 417 12 and and CCONJ fumecheng-767 417 13 lubrication lubrication NOUN fumecheng-767 417 14 of of ADP fumecheng-767 417 15 solids solid NOUN fumecheng-767 417 16 , , PUNCT fumecheng-767 417 17 oxford oxford PROPN fumecheng-767 417 18 university university PROPN fumecheng-767 417 19 press press NOUN fumecheng-767 417 20 , , PUNCT fumecheng-767 417 21 p. p. NOUN fumecheng-767 417 22 452 452 NUM fumecheng-767 417 23 . . PUNCT fumecheng-767 418 1 2 2 X fumecheng-767 418 2 . . PUNCT fumecheng-767 418 3 j. j. PROPN fumecheng-767 418 4 a. a. PROPN fumecheng-767 418 5 greenwood greenwood PROPN fumecheng-767 418 6 , , PUNCT fumecheng-767 418 7 d. d. PROPN fumecheng-767 418 8 tabor tabor PROPN fumecheng-767 418 9 , , PUNCT fumecheng-767 418 10 1958 1958 NUM fumecheng-767 418 11 , , PUNCT fumecheng-767 418 12 the the DET fumecheng-767 418 13 friction friction NOUN fumecheng-767 418 14 of of ADP fumecheng-767 418 15 hard hard ADJ fumecheng-767 418 16 sliders slider NOUN fumecheng-767 418 17 on on ADP fumecheng-767 418 18 lubricated lubricated ADJ fumecheng-767 418 19 rubber rubber NOUN fumecheng-767 418 20 : : PUNCT fumecheng-767 418 21 the the DET fumecheng-767 418 22 importance importance NOUN fumecheng-767 418 23 of of ADP fumecheng-767 418 24 deformation deformation NOUN fumecheng-767 418 25 losses loss NOUN fumecheng-767 418 26 , , PUNCT fumecheng-767 418 27 proceedings proceeding NOUN fumecheng-767 418 28 of of ADP fumecheng-767 418 29 the the DET fumecheng-767 418 30 physical physical ADJ fumecheng-767 418 31 society society NOUN fumecheng-767 418 32 , , PUNCT fumecheng-767 418 33 71 71 NUM fumecheng-767 418 34 , , PUNCT fumecheng-767 418 35 pp pp ADJ fumecheng-767 418 36 . . PUNCT fumecheng-767 419 1 989 989 NUM fumecheng-767 419 2 3 3 NUM fumecheng-767 419 3 . . PUNCT fumecheng-767 419 4 k. k. PROPN fumecheng-767 419 5 a. a. PROPN fumecheng-767 419 6 grosch grosch PROPN fumecheng-767 419 7 , , PUNCT fumecheng-767 419 8 1963 1963 NUM fumecheng-767 419 9 , , PUNCT fumecheng-767 419 10 the the DET fumecheng-767 419 11 relation relation NOUN fumecheng-767 419 12 between between ADP fumecheng-767 419 13 the the DET fumecheng-767 419 14 friction friction NOUN fumecheng-767 419 15 and and CCONJ fumecheng-767 419 16 visco visco ADJ fumecheng-767 419 17 - - ADJ fumecheng-767 419 18 elastic elastic ADJ fumecheng-767 419 19 properties property NOUN fumecheng-767 419 20 of of ADP fumecheng-767 419 21 rubber rubber NOUN fumecheng-767 419 22 , , PUNCT fumecheng-767 419 23 proceedings proceeding NOUN fumecheng-767 419 24 of of ADP fumecheng-767 419 25 the the DET fumecheng-767 419 26 royal royal ADJ fumecheng-767 419 27 society society NOUN fumecheng-767 419 28 , , PUNCT fumecheng-767 419 29 274 274 NUM fumecheng-767 419 30 , , PUNCT fumecheng-767 419 31 pp pp ADJ fumecheng-767 419 32 . . PUNCT fumecheng-767 420 1 21 21 NUM fumecheng-767 420 2 - - SYM fumecheng-767 420 3 39 39 NUM fumecheng-767 420 4 4 4 NUM fumecheng-767 420 5 . . PUNCT fumecheng-767 420 6 m. m. NOUN fumecheng-767 420 7 barquins barquin NOUN fumecheng-767 420 8 , , PUNCT fumecheng-767 420 9 r. r. PROPN fumecheng-767 420 10 courtel courtel PROPN fumecheng-767 420 11 , , PUNCT fumecheng-767 420 12 1975 1975 NUM fumecheng-767 420 13 , , PUNCT fumecheng-767 420 14 rubber rubber NOUN fumecheng-767 420 15 friction friction NOUN fumecheng-767 420 16 and and CCONJ fumecheng-767 420 17 the the DET fumecheng-767 420 18 rheology rheology NOUN fumecheng-767 420 19 of of ADP fumecheng-767 420 20 viscoelastic viscoelastic ADJ fumecheng-767 420 21 contact contact NOUN fumecheng-767 420 22 , , PUNCT fumecheng-767 420 23 wear wear NOUN fumecheng-767 420 24 , , PUNCT fumecheng-767 420 25 32 32 NUM fumecheng-767 420 26 , , PUNCT fumecheng-767 420 27 pp pp ADJ fumecheng-767 420 28 . . PUNCT fumecheng-767 421 1 133 133 NUM fumecheng-767 421 2 - - SYM fumecheng-767 421 3 150 150 NUM fumecheng-767 421 4 . . PUNCT fumecheng-767 422 1 5 5 NUM fumecheng-767 422 2 . . X fumecheng-767 422 3 m. m. NOUN fumecheng-767 422 4 klüppel klüppel PROPN fumecheng-767 422 5 , , PUNCT fumecheng-767 422 6 g. g. PROPN fumecheng-767 422 7 heinrich heinrich PROPN fumecheng-767 422 8 , , PUNCT fumecheng-767 422 9 2000 2000 NUM fumecheng-767 422 10 , , PUNCT fumecheng-767 422 11 rubber rubber NOUN fumecheng-767 422 12 friction friction NOUN fumecheng-767 422 13 on on ADP fumecheng-767 422 14 self self NOUN fumecheng-767 422 15 - - PUNCT fumecheng-767 422 16 affine affine NOUN fumecheng-767 422 17 road road NOUN fumecheng-767 422 18 track track NOUN fumecheng-767 422 19 , , PUNCT fumecheng-767 422 20 rubber rubber NOUN fumecheng-767 422 21 chemistry chemistry NOUN fumecheng-767 422 22 and and CCONJ fumecheng-767 422 23 technology technology NOUN fumecheng-767 422 24 , , PUNCT fumecheng-767 422 25 73 73 NUM fumecheng-767 422 26 , , PUNCT fumecheng-767 422 27 pp pp ADJ fumecheng-767 422 28 . . PUNCT fumecheng-767 423 1 578 578 NUM fumecheng-767 423 2 - - SYM fumecheng-767 423 3 606 606 NUM fumecheng-767 423 4 . . NOUN fumecheng-767 424 1 6 6 NUM fumecheng-767 424 2 . . X fumecheng-767 424 3 b. b. PROPN fumecheng-767 424 4 n. n. PROPN fumecheng-767 424 5 j. j. PROPN fumecheng-767 424 6 persson persson PROPN fumecheng-767 424 7 , , PUNCT fumecheng-767 424 8 2001 2001 NUM fumecheng-767 424 9 , , PUNCT fumecheng-767 424 10 theory theory NOUN fumecheng-767 424 11 of of ADP fumecheng-767 424 12 rubber rubber NOUN fumecheng-767 424 13 friction friction NOUN fumecheng-767 424 14 and and CCONJ fumecheng-767 424 15 contact contact NOUN fumecheng-767 424 16 mechanics mechanic NOUN fumecheng-767 424 17 , , PUNCT fumecheng-767 424 18 journal journal NOUN fumecheng-767 424 19 of of ADP fumecheng-767 424 20 chemical chemical PROPN fumecheng-767 424 21 physics physics PROPN fumecheng-767 424 22 , , PUNCT fumecheng-767 424 23 115 115 NUM fumecheng-767 424 24 , , PUNCT fumecheng-767 424 25 pp pp ADJ fumecheng-767 424 26 . . PUNCT fumecheng-767 425 1 3840 3840 NUM fumecheng-767 425 2 - - SYM fumecheng-767 425 3 3861 3861 NUM fumecheng-767 425 4 . . PUNCT fumecheng-767 426 1 7 7 X fumecheng-767 426 2 . . X fumecheng-767 426 3 b. b. PROPN fumecheng-767 426 4 lorenz lorenz PROPN fumecheng-767 426 5 , , PUNCT fumecheng-767 426 6 b. b. PROPN fumecheng-767 426 7 n. n. PROPN fumecheng-767 426 8 j. j. PROPN fumecheng-767 426 9 persson persson PROPN fumecheng-767 426 10 , , PUNCT fumecheng-767 426 11 g. g. PROPN fumecheng-767 426 12 fortunato fortunato PROPN fumecheng-767 426 13 , , PUNCT fumecheng-767 426 14 m. m. NOUN fumecheng-767 426 15 giustiniano giustiniano NOUN fumecheng-767 426 16 , , PUNCT fumecheng-767 426 17 f. f. PROPN fumecheng-767 426 18 baldoni baldoni PROPN fumecheng-767 426 19 , , PUNCT fumecheng-767 426 20 2013 2013 NUM fumecheng-767 426 21 , , PUNCT fumecheng-767 426 22 rubber rubber NOUN fumecheng-767 426 23 friction friction NOUN fumecheng-767 426 24 for for ADP fumecheng-767 426 25 tire tire NOUN fumecheng-767 426 26 tread tread NOUN fumecheng-767 426 27 compound compound NOUN fumecheng-767 426 28 on on ADP fumecheng-767 426 29 road road NOUN fumecheng-767 426 30 surfaces surface NOUN fumecheng-767 426 31 , , PUNCT fumecheng-767 426 32 journal journal NOUN fumecheng-767 426 33 of of ADP fumecheng-767 426 34 physics physics PROPN fumecheng-767 426 35 : : PUNCT fumecheng-767 426 36 condensed condense VERB fumecheng-767 426 37 matter matter NOUN fumecheng-767 426 38 , , PUNCT fumecheng-767 426 39 25 25 NUM fumecheng-767 426 40 , , PUNCT fumecheng-767 426 41 pp pp ADJ fumecheng-767 426 42 . . PUNCT fumecheng-767 426 43 095007 095007 NUM fumecheng-767 426 44 . . PUNCT fumecheng-767 427 1 8 8 X fumecheng-767 427 2 . . X fumecheng-767 428 1 v. v. ADP fumecheng-767 428 2 l. l. PROPN fumecheng-767 428 3 popov popov PROPN fumecheng-767 428 4 , , PUNCT fumecheng-767 428 5 a. a. NOUN fumecheng-767 428 6 v. v. ADP fumecheng-767 428 7 dimaki dimaki NOUN fumecheng-767 428 8 , , PUNCT fumecheng-767 428 9 2011 2011 NUM fumecheng-767 428 10 , , PUNCT fumecheng-767 428 11 using use VERB fumecheng-767 428 12 hierarchical hierarchical ADJ fumecheng-767 428 13 memory memory NOUN fumecheng-767 428 14 to to PART fumecheng-767 428 15 calculate calculate VERB fumecheng-767 428 16 friction friction NOUN fumecheng-767 428 17 force force NOUN fumecheng-767 428 18 between between ADP fumecheng-767 428 19 fractal fractal ADJ fumecheng-767 428 20 rough rough ADJ fumecheng-767 428 21 solid solid ADJ fumecheng-767 428 22 surface surface NOUN fumecheng-767 428 23 and and CCONJ fumecheng-767 428 24 elastomer elastomer NOUN fumecheng-767 428 25 with with ADP fumecheng-767 428 26 arbitrary arbitrary ADJ fumecheng-767 428 27 linear linear ADJ fumecheng-767 428 28 rheological rheological ADJ fumecheng-767 428 29 properties property NOUN fumecheng-767 428 30 , , PUNCT fumecheng-767 428 31 technical technical ADJ fumecheng-767 428 32 physics physics NOUN fumecheng-767 428 33 letters letter NOUN fumecheng-767 428 34 , , PUNCT fumecheng-767 428 35 37 37 NUM fumecheng-767 428 36 , , PUNCT fumecheng-767 428 37 pp pp ADJ fumecheng-767 428 38 . . PUNCT fumecheng-767 428 39 8 8 NUM fumecheng-767 428 40 - - SYM fumecheng-767 428 41 11 11 NUM fumecheng-767 428 42 . . PUNCT fumecheng-767 429 1 9 9 NUM fumecheng-767 429 2 . . X fumecheng-767 429 3 a. a. NOUN fumecheng-767 429 4 schallamach schallamach PROPN fumecheng-767 429 5 , , PUNCT fumecheng-767 429 6 1952 1952 NUM fumecheng-767 429 7 , , PUNCT fumecheng-767 429 8 the the DET fumecheng-767 429 9 load load NOUN fumecheng-767 429 10 dependence dependence NOUN fumecheng-767 429 11 of of ADP fumecheng-767 429 12 rubber rubber NOUN fumecheng-767 429 13 friction friction NOUN fumecheng-767 429 14 , , PUNCT fumecheng-767 429 15 proceedings proceeding NOUN fumecheng-767 429 16 of of ADP fumecheng-767 429 17 the the DET fumecheng-767 429 18 physical physical ADJ fumecheng-767 429 19 society society NOUN fumecheng-767 429 20 . . PUNCT fumecheng-767 430 1 section section NOUN fumecheng-767 430 2 b b PROPN fumecheng-767 430 3 , , PUNCT fumecheng-767 430 4 65,pp 65,pp NUM fumecheng-767 430 5 . . PUNCT fumecheng-767 431 1 657 657 NUM fumecheng-767 431 2 . . PUNCT fumecheng-767 432 1 10 10 NUM fumecheng-767 432 2 . . PUNCT fumecheng-767 433 1 o. o. PROPN fumecheng-767 433 2 ben ben PROPN fumecheng-767 433 3 - - PROPN fumecheng-767 433 4 david david PROPN fumecheng-767 433 5 , , PUNCT fumecheng-767 433 6 j. j. PROPN fumecheng-767 433 7 fineberg fineberg PROPN fumecheng-767 433 8 , , PUNCT fumecheng-767 433 9 2011 2011 NUM fumecheng-767 433 10 , , PUNCT fumecheng-767 433 11 static static ADJ fumecheng-767 433 12 friction friction NOUN fumecheng-767 433 13 coefficient coefficient NOUN fumecheng-767 433 14 is be AUX fumecheng-767 433 15 not not PART fumecheng-767 433 16 a a DET fumecheng-767 433 17 material material NOUN fumecheng-767 433 18 constant constant ADJ fumecheng-767 433 19 , , PUNCT fumecheng-767 433 20 phys phy NOUN fumecheng-767 433 21 . . PUNCT fumecheng-767 434 1 rev rev PROPN fumecheng-767 434 2 . . PROPN fumecheng-767 434 3 lett lett PROPN fumecheng-767 434 4 . . PROPN fumecheng-767 434 5 , , PUNCT fumecheng-767 434 6 106 106 NUM fumecheng-767 434 7 , , PUNCT fumecheng-767 434 8 pp pp ADJ fumecheng-767 434 9 . . PUNCT fumecheng-767 434 10 254301 254301 NUM fumecheng-767 434 11 . . PUNCT fumecheng-767 435 1 11 11 NUM fumecheng-767 435 2 . . PUNCT fumecheng-767 435 3 m. m. NOUN fumecheng-767 435 4 otsuki otsuki PROPN fumecheng-767 435 5 , , PUNCT fumecheng-767 435 6 h. h. PROPN fumecheng-767 435 7 matsukawa matsukawa PROPN fumecheng-767 435 8 , , PUNCT fumecheng-767 435 9 2013 2013 NUM fumecheng-767 435 10 , , PUNCT fumecheng-767 435 11 systematic systematic ADJ fumecheng-767 435 12 breakdown breakdown NOUN fumecheng-767 435 13 of of ADP fumecheng-767 435 14 amontons amonton NOUN fumecheng-767 435 15 ' ' PART fumecheng-767 435 16 law law NOUN fumecheng-767 435 17 of of ADP fumecheng-767 435 18 friction friction NOUN fumecheng-767 435 19 for for ADP fumecheng-767 435 20 an an DET fumecheng-767 435 21 elastic elastic ADJ fumecheng-767 435 22 object object NOUN fumecheng-767 435 23 locally locally ADV fumecheng-767 435 24 obeying obey VERB fumecheng-767 435 25 amontons amonton NOUN fumecheng-767 435 26 ' ' PART fumecheng-767 435 27 law law NOUN fumecheng-767 435 28 , , PUNCT fumecheng-767 435 29 scientific scientific ADJ fumecheng-767 435 30 reports report NOUN fumecheng-767 435 31 , , PUNCT fumecheng-767 435 32 3 3 NUM fumecheng-767 435 33 , , PUNCT fumecheng-767 435 34 pp pp ADJ fumecheng-767 435 35 . . PUNCT fumecheng-767 435 36 1586 1586 NUM fumecheng-767 435 37 . . PUNCT fumecheng-767 436 1 12 12 NUM fumecheng-767 436 2 . . PUNCT fumecheng-767 437 1 s. s. PROPN fumecheng-767 437 2 m. m. PROPN fumecheng-767 437 3 rubinstein rubinstein PROPN fumecheng-767 437 4 , , PUNCT fumecheng-767 437 5 g. g. PROPN fumecheng-767 437 6 cohen cohen PROPN fumecheng-767 437 7 , , PUNCT fumecheng-767 437 8 j. j. PROPN fumecheng-767 437 9 fineberg fineberg PROPN fumecheng-767 437 10 , , PUNCT fumecheng-767 437 11 2004 2004 NUM fumecheng-767 437 12 , , PUNCT fumecheng-767 437 13 detachment detachment NOUN fumecheng-767 437 14 fronts front NOUN fumecheng-767 437 15 and and CCONJ fumecheng-767 437 16 the the DET fumecheng-767 437 17 onset onset NOUN fumecheng-767 437 18 of of ADP fumecheng-767 437 19 dynamic dynamic ADJ fumecheng-767 437 20 friction friction NOUN fumecheng-767 437 21 , , PUNCT fumecheng-767 437 22 nature nature NOUN fumecheng-767 437 23 , , PUNCT fumecheng-767 437 24 430 430 NUM fumecheng-767 437 25 , , PUNCT fumecheng-767 437 26 pp pp ADJ fumecheng-767 437 27 . . PUNCT fumecheng-767 438 1 1005 1005 NUM fumecheng-767 438 2 - - SYM fumecheng-767 438 3 1009 1009 NUM fumecheng-767 438 4 . . PUNCT fumecheng-767 439 1 13 13 NUM fumecheng-767 439 2 . . PUNCT fumecheng-767 440 1 o. o. PROPN fumecheng-767 440 2 ben ben PROPN fumecheng-767 440 3 - - PROPN fumecheng-767 440 4 david david PROPN fumecheng-767 440 5 , , PUNCT fumecheng-767 440 6 g. g. PROPN fumecheng-767 440 7 cohen cohen PROPN fumecheng-767 440 8 , , PUNCT fumecheng-767 440 9 j. j. PROPN fumecheng-767 440 10 fineberg fineberg PROPN fumecheng-767 440 11 , , PUNCT fumecheng-767 440 12 2010 2010 NUM fumecheng-767 440 13 , , PUNCT fumecheng-767 440 14 the the DET fumecheng-767 440 15 dynamics dynamic NOUN fumecheng-767 440 16 of of ADP fumecheng-767 440 17 the the DET fumecheng-767 440 18 onset onset NOUN fumecheng-767 440 19 of of ADP fumecheng-767 440 20 frictional frictional ADJ fumecheng-767 440 21 slip slip NOUN fumecheng-767 440 22 , , PUNCT fumecheng-767 440 23 science science NOUN fumecheng-767 440 24 , , PUNCT fumecheng-767 440 25 330 330 NUM fumecheng-767 440 26 , , PUNCT fumecheng-767 440 27 pp pp ADJ fumecheng-767 440 28 . . PUNCT fumecheng-767 441 1 211 211 NUM fumecheng-767 441 2 - - SYM fumecheng-767 441 3 214 214 NUM fumecheng-767 441 4 . . PUNCT fumecheng-767 442 1 14 14 NUM fumecheng-767 442 2 . . PUNCT fumecheng-767 442 3 d. d. PROPN fumecheng-767 442 4 s. s. PROPN fumecheng-767 442 5 amundsen amundsen PROPN fumecheng-767 442 6 , , PUNCT fumecheng-767 442 7 j. j. PROPN fumecheng-767 442 8 scheibert scheibert PROPN fumecheng-767 442 9 , , PUNCT fumecheng-767 442 10 k. k. PROPN fumecheng-767 442 11 thögersen thögersen PROPN fumecheng-767 442 12 , , PUNCT fumecheng-767 442 13 j. j. PROPN fumecheng-767 442 14 trömborg trömborg PROPN fumecheng-767 442 15 , , PUNCT fumecheng-767 442 16 a. a. NOUN fumecheng-767 442 17 malthe malthe NOUN fumecheng-767 442 18 - - PUNCT fumecheng-767 442 19 sörenssen sörenssen NOUN fumecheng-767 442 20 , , PUNCT fumecheng-767 442 21 2012 2012 NUM fumecheng-767 442 22 , , PUNCT fumecheng-767 442 23 1d 1d NUM fumecheng-767 442 24 model model NOUN fumecheng-767 442 25 of of ADP fumecheng-767 442 26 precursors precursor NOUN fumecheng-767 442 27 to to ADP fumecheng-767 442 28 frictional frictional ADJ fumecheng-767 442 29 stick stick NOUN fumecheng-767 442 30 - - PUNCT fumecheng-767 442 31 slip slip NOUN fumecheng-767 442 32 motion motion NOUN fumecheng-767 442 33 allowing allow VERB fumecheng-767 442 34 for for ADP fumecheng-767 442 35 robust robust ADJ fumecheng-767 442 36 comparison comparison NOUN fumecheng-767 442 37 with with ADP fumecheng-767 442 38 experiments experiment NOUN fumecheng-767 442 39 , , PUNCT fumecheng-767 442 40 tribology tribology NOUN fumecheng-767 442 41 letters letter NOUN fumecheng-767 442 42 , , PUNCT fumecheng-767 442 43 45 45 NUM fumecheng-767 442 44 , , PUNCT fumecheng-767 442 45 pp pp ADJ fumecheng-767 442 46 . . PUNCT fumecheng-767 443 1 357 357 NUM fumecheng-767 443 2 - - SYM fumecheng-767 443 3 369 369 NUM fumecheng-767 443 4 . . PUNCT fumecheng-767 444 1 15 15 NUM fumecheng-767 444 2 . . PUNCT fumecheng-767 444 3 m. m. NOUN fumecheng-767 444 4 heß heß PROPN fumecheng-767 444 5 , , PUNCT fumecheng-767 444 6 2011 2011 NUM fumecheng-767 444 7 , , PUNCT fumecheng-767 444 8 about about ADP fumecheng-767 444 9 mapping mapping NOUN fumecheng-767 444 10 of of ADP fumecheng-767 444 11 some some DET fumecheng-767 444 12 three three NUM fumecheng-767 444 13 - - PUNCT fumecheng-767 444 14 dimensional dimensional ADJ fumecheng-767 444 15 contact contact NOUN fumecheng-767 444 16 problems problem NOUN fumecheng-767 444 17 to to ADP fumecheng-767 444 18 systems system NOUN fumecheng-767 444 19 with with ADP fumecheng-767 444 20 a a DET fumecheng-767 444 21 lower low ADJ fumecheng-767 444 22 spatial spatial ADJ fumecheng-767 444 23 dimensionality dimensionality NOUN fumecheng-767 444 24 , , PUNCT fumecheng-767 444 25 cullier culli ADJ fumecheng-767 444 26 verlag verlag PROPN fumecheng-767 444 27 , , PUNCT fumecheng-767 444 28 berlin berlin PROPN fumecheng-767 444 29 . . PUNCT fumecheng-767 445 1 16 16 NUM fumecheng-767 445 2 . . PUNCT fumecheng-767 445 3 m. m. PROPN fumecheng-767 445 4 heß heß PROPN fumecheng-767 445 5 , , PUNCT fumecheng-767 445 6 2012 2012 NUM fumecheng-767 445 7 , , PUNCT fumecheng-767 445 8 on on ADP fumecheng-767 445 9 the the DET fumecheng-767 445 10 reduction reduction NOUN fumecheng-767 445 11 method method NOUN fumecheng-767 445 12 of of ADP fumecheng-767 445 13 dimensionality dimensionality NOUN fumecheng-767 445 14 : : PUNCT fumecheng-767 445 15 the the DET fumecheng-767 445 16 exact exact ADJ fumecheng-767 445 17 mapping mapping NOUN fumecheng-767 445 18 of of ADP fumecheng-767 445 19 axisymmetric axisymmetric ADJ fumecheng-767 445 20 contact contact NOUN fumecheng-767 445 21 problems problem NOUN fumecheng-767 445 22 with with ADP fumecheng-767 445 23 and and CCONJ fumecheng-767 445 24 without without ADP fumecheng-767 445 25 adhesion adhesion NOUN fumecheng-767 445 26 , , PUNCT fumecheng-767 445 27 physical physical ADJ fumecheng-767 445 28 mesomechanics mesomechanic NOUN fumecheng-767 445 29 , , PUNCT fumecheng-767 445 30 15 15 NUM fumecheng-767 445 31 , , PUNCT fumecheng-767 445 32 pp pp ADJ fumecheng-767 445 33 . . PUNCT fumecheng-767 446 1 264 264 NUM fumecheng-767 446 2 - - SYM fumecheng-767 446 3 269 269 NUM fumecheng-767 446 4 17 17 NUM fumecheng-767 446 5 . . PUNCT fumecheng-767 447 1 r. r. PROPN fumecheng-767 447 2 pohrt pohrt PROPN fumecheng-767 447 3 , , PUNCT fumecheng-767 447 4 v. v. PROPN fumecheng-767 447 5 l. l. PROPN fumecheng-767 447 6 popov popov PROPN fumecheng-767 447 7 , , PUNCT fumecheng-767 447 8 a. a. PROPN fumecheng-767 447 9 e. e. PROPN fumecheng-767 447 10 filippov filippov PROPN fumecheng-767 447 11 , , PUNCT fumecheng-767 447 12 2012 2012 NUM fumecheng-767 447 13 , , PUNCT fumecheng-767 447 14 normal normal ADJ fumecheng-767 447 15 contact contact NOUN fumecheng-767 447 16 stiffness stiffness NOUN fumecheng-767 447 17 of of ADP fumecheng-767 447 18 elastic elastic ADJ fumecheng-767 447 19 solids solid NOUN fumecheng-767 447 20 with with ADP fumecheng-767 447 21 fractal fractal ADJ fumecheng-767 447 22 rough rough ADJ fumecheng-767 447 23 surfaces surface NOUN fumecheng-767 447 24 for for ADP fumecheng-767 447 25 oneand oneand ADJ fumecheng-767 447 26 three three NUM fumecheng-767 447 27 - - PUNCT fumecheng-767 447 28 dimensional dimensional ADJ fumecheng-767 447 29 systems system NOUN fumecheng-767 447 30 , , PUNCT fumecheng-767 447 31 phys phy NOUN fumecheng-767 447 32 . . PUNCT fumecheng-767 447 33 rev rev PROPN fumecheng-767 447 34 . . PROPN fumecheng-767 448 1 e e PROPN fumecheng-767 448 2 , , PUNCT fumecheng-767 448 3 86 86 NUM fumecheng-767 448 4 , , PUNCT fumecheng-767 448 5 pp pp ADJ fumecheng-767 448 6 . . PUNCT fumecheng-767 448 7 026710 026710 NUM fumecheng-767 448 8 . . PUNCT fumecheng-767 449 1 18 18 NUM fumecheng-767 449 2 . . X fumecheng-767 450 1 v. v. ADP fumecheng-767 450 2 l. l. PROPN fumecheng-767 450 3 popov popov PROPN fumecheng-767 450 4 , , PUNCT fumecheng-767 450 5 m. m. NOUN fumecheng-767 450 6 heß heß PROPN fumecheng-767 450 7 , , PUNCT fumecheng-767 450 8 2015 2015 NUM fumecheng-767 450 9 , , PUNCT fumecheng-767 450 10 method method NOUN fumecheng-767 450 11 of of ADP fumecheng-767 450 12 dimensionality dimensionality NOUN fumecheng-767 450 13 reduction reduction NOUN fumecheng-767 450 14 in in ADP fumecheng-767 450 15 contact contact NOUN fumecheng-767 450 16 and and CCONJ fumecheng-767 450 17 friction friction NOUN fumecheng-767 450 18 , , PUNCT fumecheng-767 450 19 springer springer NOUN fumecheng-767 450 20 , , PUNCT fumecheng-767 450 21 berlin berlin PROPN fumecheng-767 450 22 heidelberg heidelberg PROPN fumecheng-767 450 23 . . PUNCT fumecheng-767 451 1 19 19 NUM fumecheng-767 451 2 . . PUNCT fumecheng-767 451 3 q. q. PROPN fumecheng-767 451 4 li li PROPN fumecheng-767 451 5 , , PUNCT fumecheng-767 451 6 m. m. NOUN fumecheng-767 451 7 popov popov PROPN fumecheng-767 451 8 , , PUNCT fumecheng-767 451 9 a. a. NOUN fumecheng-767 451 10 dimaki dimaki NOUN fumecheng-767 451 11 , , PUNCT fumecheng-767 451 12 a. a. PROPN fumecheng-767 451 13 e. e. PROPN fumecheng-767 451 14 filippov filippov PROPN fumecheng-767 451 15 , , PUNCT fumecheng-767 451 16 s. s. PROPN fumecheng-767 451 17 kürschner kürschner PROPN fumecheng-767 451 18 , , PUNCT fumecheng-767 451 19 v. v. PROPN fumecheng-767 451 20 l. l. PROPN fumecheng-767 451 21 popov popov PROPN fumecheng-767 451 22 , , PUNCT fumecheng-767 451 23 2013 2013 NUM fumecheng-767 451 24 , , PUNCT fumecheng-767 451 25 friction friction NOUN fumecheng-767 451 26 between between ADP fumecheng-767 451 27 a a DET fumecheng-767 451 28 viscoelastic viscoelastic ADJ fumecheng-767 451 29 body body NOUN fumecheng-767 451 30 and and CCONJ fumecheng-767 451 31 a a DET fumecheng-767 451 32 rigid rigid ADJ fumecheng-767 451 33 surface surface NOUN fumecheng-767 451 34 with with ADP fumecheng-767 451 35 random random ADJ fumecheng-767 451 36 self self NOUN fumecheng-767 451 37 - - PUNCT fumecheng-767 451 38 affine affine NOUN fumecheng-767 451 39 roughness roughness NOUN fumecheng-767 451 40 , , PUNCT fumecheng-767 451 41 phys phy NOUN fumecheng-767 451 42 . . PUNCT fumecheng-767 452 1 rev rev PROPN fumecheng-767 452 2 . . PROPN fumecheng-767 452 3 lett lett PROPN fumecheng-767 452 4 . . PROPN fumecheng-767 452 5 , , PUNCT fumecheng-767 452 6 111 111 NUM fumecheng-767 452 7 , , PUNCT fumecheng-767 452 8 pp pp ADJ fumecheng-767 452 9 . . PUNCT fumecheng-767 452 10 034301 034301 NUM fumecheng-767 452 11 . . PUNCT fumecheng-767 453 1 20 20 NUM fumecheng-767 453 2 . . X fumecheng-767 454 1 a.v a.v PROPN fumecheng-767 454 2 . . PROPN fumecheng-767 454 3 dimaki dimaki PROPN fumecheng-767 454 4 , , PUNCT fumecheng-767 454 5 v.l v.l PROPN fumecheng-767 454 6 . . PROPN fumecheng-767 454 7 popov popov PROPN fumecheng-767 454 8 ; ; PUNCT fumecheng-767 454 9 2014 2014 NUM fumecheng-767 454 10 , , PUNCT fumecheng-767 454 11 coefficient coefficient NOUN fumecheng-767 454 12 of of ADP fumecheng-767 454 13 friction friction NOUN fumecheng-767 454 14 between between ADP fumecheng-767 454 15 a a DET fumecheng-767 454 16 rigid rigid ADJ fumecheng-767 454 17 conical conical NOUN fumecheng-767 454 18 indenter indenter NOUN fumecheng-767 454 19 and and CCONJ fumecheng-767 454 20 a a DET fumecheng-767 454 21 model model NOUN fumecheng-767 454 22 elastomer elastomer NOUN fumecheng-767 454 23 : : PUNCT fumecheng-767 454 24 influence influence NOUN fumecheng-767 454 25 of of ADP fumecheng-767 454 26 local local ADJ fumecheng-767 454 27 frictional frictional ADJ fumecheng-767 454 28 heating heating NOUN fumecheng-767 454 29 , , PUNCT fumecheng-767 454 30 phys phy NOUN fumecheng-767 454 31 . . PUNCT fumecheng-767 454 32 mech mech PROPN fumecheng-767 454 33 . . PROPN fumecheng-767 454 34 , , PUNCT fumecheng-767 454 35 17 17 NUM fumecheng-767 454 36 ( ( PUNCT fumecheng-767 454 37 5 5 NUM fumecheng-767 454 38 ) ) PUNCT fumecheng-767 454 39 , , PUNCT fumecheng-767 454 40 p. p. NOUN fumecheng-767 454 41 57 57 NUM fumecheng-767 454 42 - - SYM fumecheng-767 454 43 62 62 NUM fumecheng-767 454 44 . . PUNCT fumecheng-767 455 1 21 21 NUM fumecheng-767 455 2 . . PUNCT fumecheng-767 456 1 v. v. ADP fumecheng-767 456 2 l. l. PROPN fumecheng-767 456 3 popov popov PROPN fumecheng-767 456 4 , , PUNCT fumecheng-767 456 5 2010 2010 NUM fumecheng-767 456 6 , , PUNCT fumecheng-767 456 7 contact contact NOUN fumecheng-767 456 8 mechanics mechanic NOUN fumecheng-767 456 9 and and CCONJ fumecheng-767 456 10 friction friction NOUN fumecheng-767 456 11 , , PUNCT fumecheng-767 456 12 1st 1st ADJ fumecheng-767 456 13 ed ed NOUN fumecheng-767 456 14 . . PROPN fumecheng-767 456 15 , , PUNCT fumecheng-767 456 16 springer springer NOUN fumecheng-767 456 17 , , PUNCT fumecheng-767 456 18 berlin berlin PROPN fumecheng-767 456 19 heidelberg heidelberg PROPN fumecheng-767 456 20 , , PUNCT fumecheng-767 456 21 362 362 NUM fumecheng-767 456 22 p. p. NOUN fumecheng-767 456 23 22 22 NUM fumecheng-767 456 24 . . PUNCT fumecheng-767 456 25 i. i. PROPN fumecheng-767 456 26 a. a. PROPN fumecheng-767 456 27 lyashenko lyashenko PROPN fumecheng-767 456 28 , , PUNCT fumecheng-767 456 29 l. l. PROPN fumecheng-767 456 30 pastewka pastewka PROPN fumecheng-767 456 31 , , PUNCT fumecheng-767 456 32 b. b. PROPN fumecheng-767 456 33 n. n. PROPN fumecheng-767 456 34 j. j. PROPN fumecheng-767 456 35 persson persson PROPN fumecheng-767 456 36 , , PUNCT fumecheng-767 456 37 2013 2013 NUM fumecheng-767 456 38 , , PUNCT fumecheng-767 456 39 comment comment NOUN fumecheng-767 456 40 on on ADP fumecheng-767 456 41 “ " PUNCT fumecheng-767 456 42 friction friction NOUN fumecheng-767 456 43 between between ADP fumecheng-767 456 44 a a DET fumecheng-767 456 45 viscoelastic viscoelastic ADJ fumecheng-767 456 46 body body NOUN fumecheng-767 456 47 and and CCONJ fumecheng-767 456 48 a a DET fumecheng-767 456 49 rigid rigid ADJ fumecheng-767 456 50 surface surface NOUN fumecheng-767 456 51 with with ADP fumecheng-767 456 52 random random ADJ fumecheng-767 456 53 self self NOUN fumecheng-767 456 54 - - PUNCT fumecheng-767 456 55 affine affine NOUN fumecheng-767 456 56 roughness roughness NOUN fumecheng-767 456 57 ” " PUNCT fumecheng-767 456 58 , , PUNCT fumecheng-767 456 59 phys phy NOUN fumecheng-767 456 60 . . PUNCT fumecheng-767 457 1 rev rev PROPN fumecheng-767 457 2 . . PROPN fumecheng-767 457 3 lett lett PROPN fumecheng-767 457 4 . . PROPN fumecheng-767 457 5 , , PUNCT fumecheng-767 457 6 111 111 NUM fumecheng-767 457 7 , , PUNCT fumecheng-767 457 8 189401 189401 NUM fumecheng-767 457 9 . . PUNCT fumecheng-767 458 1 23 23 NUM fumecheng-767 458 2 . . PUNCT fumecheng-767 458 3 r. r. PROPN fumecheng-767 458 4 pohrt pohrt PROPN fumecheng-767 458 5 , , PUNCT fumecheng-767 458 6 v.l v.l PROPN fumecheng-767 458 7 . . PROPN fumecheng-767 458 8 popov popov PROPN fumecheng-767 458 9 , , PUNCT fumecheng-767 458 10 valentin valentin PROPN fumecheng-767 458 11 l. l. PROPN fumecheng-767 458 12 , , PUNCT fumecheng-767 458 13 2012 2012 NUM fumecheng-767 458 14 , , PUNCT fumecheng-767 458 15 normal normal ADJ fumecheng-767 458 16 contact contact NOUN fumecheng-767 458 17 stiffness stiffness NOUN fumecheng-767 458 18 of of ADP fumecheng-767 458 19 elastic elastic ADJ fumecheng-767 458 20 solids solid NOUN fumecheng-767 458 21 with with ADP fumecheng-767 458 22 fractal fractal ADJ fumecheng-767 458 23 rough rough ADJ fumecheng-767 458 24 surfaces surface NOUN fumecheng-767 458 25 , , PUNCT fumecheng-767 458 26 phys phy NOUN fumecheng-767 458 27 . . PUNCT fumecheng-767 459 1 rev rev PROPN fumecheng-767 459 2 . . PROPN fumecheng-767 459 3 lett lett PROPN fumecheng-767 459 4 . . PROPN fumecheng-767 459 5 , , PUNCT fumecheng-767 459 6 108 108 NUM fumecheng-767 459 7 , , PUNCT fumecheng-767 459 8 pp pp ADJ fumecheng-767 459 9 . . PUNCT fumecheng-767 459 10 104301 104301 NUM fumecheng-767 459 11 . . PUNCT