id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ap-658	Zeman, J.; Valenta, R.; Šejnoha, M.	On Adequacy of Two-point Averaging Schemes for Composites with Nonlinear Viscoelastic Phases	2004	10	.pdf	application/pdf	6713	296	54	Admitting only small strains and isotropic ma- terials, a set of constitutive equations defining the generalized compressible Leonov model can be written as � �m K� , (18) � ( � � ), ,sij ij ij pG e e� � �� �2 , (19) � ( ) ( ), , , , e s s ij p ij eq ij eqa� � � � � � � � � � 1 2 1 2 0 , (20) � � � � � ij m ij ij ij ij M � � � � s s s, , 1 , (21) where �m is the mean stress, � is the volumetric strain, K is the bulk modulus, G� is the shear modulus of the �-th unit and �ij is the Kronecker delta. In particular, under the ergodic hypothesis [21] the vol- ume average of function � �r( , )x given by � � �r V r V V ( , ) lim ( )x x y y� � �� � 1 d , (2) is independent of � and identical to the ensemble average � �r r r rS c( ) ( ) ( )x x x� � � , (3) where cr is the volume fraction of the rth phase.	cache/ap-658.pdf	txt/ap-658.txt