caa a22 4500 445811900 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s00419-010-0411-1 doi (NATIONALLICENCE)springer-10.1007/s00419-010-0411-1 Micromechanical modeling of linear viscoelastic behavior of heterogeneous materials [Elektronische Daten] [Mamadou Coulibaly, H. Sabar] Study of effective behavior of heterogeneous materials, starting from the properties of the microstructure, represents a critical step in the design and modeling of new materials. Within this framework, the aim of this work is to introduce a general internal variables approach for scale transition problem in linear viscoelastic case. A new integral formulation is established, based on the complete taking into account of field equations and differential constitutive laws of the heterogeneous problem, in which the effects of elasticity and viscosity interact in a representative volume element. Thanks to Green's techniques applied to space convolution's term, a new concentration relation is obtained. The step of homogenization is then carried out according to the self-consistent approximation. The results of the present model are illustrated and compared with those provided by Hashin's and Rougier's ones, considered as references, and by internal variables models such as those of Weng and translated fields. Springer-Verlag, 2010 Heterogeneous materials nationallicence Linear viscoelasticity nationallicence Internal variables nationallicence Scale transition nationallicence Integral formulation nationallicence Coulibaly Mamadou Laboratoire de mécanique Biomécanique Polymères Structures, Ecole Nationale d'Ingénieurs de Metz, Ile du Saulcy, 57045, Metz, France aut Sabar H. Laboratoire de mécanique Biomécanique Polymères Structures, Ecole Nationale d'Ingénieurs de Metz, Ile du Saulcy, 57045, Metz, France aut Archive of Applied Mechanics Springer-Verlag 81/3(2011-03-01), 345-359 0939-1533 81:3<345 2011 81 419 https://doi.org/10.1007/s00419-010-0411-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0411-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Coulibaly Mamadou Laboratoire de mécanique Biomécanique Polymères Structures, Ecole Nationale d'Ingénieurs de Metz, Ile du Saulcy, 57045, Metz, France aut NATIONALLICENCE 700 1- Sabar H. Laboratoire de mécanique Biomécanique Polymères Structures, Ecole Nationale d'Ingénieurs de Metz, Ile du Saulcy, 57045, Metz, France aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/3(2011-03-01), 345-359 0939-1533 81:3<345 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer