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Homogenization of Stratified Elastic Composites with High Contrast
Article de revue   Open Access   Avec comité de lecture

Homogenization of Stratified Elastic Composites with High Contrast

Michel Bellieud
SIAM Journal on Mathematical Analysis, Vol.49(4), pp.2615 - 2665
06/07/2017

Résumé

non-local effects elasticity homogenization AMS subject classifications. 35B27, 35B40, 35R60, 74B05, 74Q10
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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