%0 Journal Article
%T Homogenization of Stratified Elastic Composites with High Contrast
%+ Laboratoire de Mécanique et Génie Civil (LMGC)
%A Bellieud, Michel
%< avec comité de lecture
%@ 0036-1410
%J SIAM Journal on Mathematical Analysis
%I Society for Industrial and Applied Mathematics
%V 49
%N 4
%P 2615 - 2665
%8 2017-07-06
%D 2017
%R 10.1137/15M1012050
%K homogenization
%K elasticity
%K non-local effects
%Z AMS subject classifications. 35B27, 35B40, 35R60, 74B05, 74Q10
%Z Mathematics [math]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]Journal articles
%X We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified media comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to zero. The limit equations may depend on higher order terms, characterizing bending effects. A part of this work is set in the context of non-periodic homogenization and an extension to stochastic homogenization is presented.
%G English
%2 https://hal.umontpellier.fr/hal-01769898/document
%2 https://hal.umontpellier.fr/hal-01769898/file/Art_Bellieud_2017.pdf
%L hal-01769898
%U https://hal.umontpellier.fr/hal-01769898
%~ CNRS
%~ LMGC
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021