Homogenization of Stratified Elastic Composites with High Contrast - Université de Montpellier
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2017

Homogenization of Stratified Elastic Composites with High Contrast

Michel Bellieud
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Résumé

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.
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Dates et versions

hal-01769898 , version 1 (18-04-2018)

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Michel Bellieud. Homogenization of Stratified Elastic Composites with High Contrast . SIAM Journal on Mathematical Analysis, 2017, 49 (4), pp.2615 - 2665. ⟨10.1137/15M1012050⟩. ⟨hal-01769898⟩
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