id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
fis-125	Pham, K.; Marigo, J.-J.	Damage localization and rupture with gradient damage models	2011	15	.pdf	application/pdf	8866	385	66	Inserting in (8) = t and = tv u w with 0w  , we obtain the variational formulation of the equilibrium of the bar, 00 ( ( )) ( ) ( ) = 0,     L t tE x u x w x dx w  (9) From (9), we deduce that the stress along the bar is homogeneous and is only a function of time = 0, = ( ( )) ( ), (0, )     t t t tE x u x x L (10) ( ( )) ( )         t L L e s s s s s st S x dx S x x dx ds 2 0 0 0 = ( ) ( ( )) ( ) 2       t t	cache/fis-125.pdf	txt/fis-125.txt