Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation

Michel Bellieud; Shane Cooper

doi:10.1137/16M107551X

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Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation

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Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation

Michel Bellieud et Shane Cooper

SIAM Journal on Mathematical Analysis, Vol.49(5), pp.4275 - 4317

01/2017

DOI: https://doi.org/10.1137/16M107551X

Résumé

Elasticity

Singular perturbations

Homogenization

AMS subject classifications. 35B25, 49Q20, 74B05, 74Q05

We consider a heterogeneous elastic structure which is stratified in one direction. We derive the limit problem under the sole assumption that the Lamé coefficients and their inverses weakly* converge to some Radon measures.

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Titre: Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation
Créateurs - sans rôle: Michel Bellieud - Université de Montpellier, Laboratoire de Mécanique et Génie Civil - LMGC
Shane Cooper - University of Bath
Détails de publication: SIAM Journal on Mathematical Analysis, Vol.49(5), pp.4275 - 4317
Identifiants: 99151172609311
Unité académique: Laboratoire de Mécanique et Génie Civil - LMGC
Langue: English
Type de ressource: Journal article
Champs locaux: hal-01769911