id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fis-3213	Madani, Kouider; Houari, A.; Bouchikhi, A.S.; Mokhtari, M.	Numerical analysis of the elastic-plastic behavior of a tubular structure in FGM under pressure and defect presence	2021	20	.pdf	application/pdf	9571	557	59	          ( ) ( ) ( ) ( ) ( )21 ( ) E r r r r rrv r                    (4.b)      ( ) ( ) ( ) ( )r v r r rz r                                (4.c) where  ( )r r ,  ( )r and  ( )z r are the radial, circumferential, and axial stresses, respectively, as a function of ( )r ,  ( )r r and  ( )r are the radial and circumferential strain, respectively, as a function of ( )r , while z is the axial strain and is assumed to be constant, taking the large length-radius ratio into consideration, and whereas ( )u r is the radial displacement as a function of ( )r and ( )w z is the axial displacement as function of length.                2 221 2eq r z r z                               (11)                         	cache/fis-3213.pdf	txt/fis-3213.txt