Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée

Michel Bellieud; Shane Cooper

doi:10.1016/j.crma.2016.01.004

Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée

Translated title of the contribution: Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation

Michel Bellieud, Shane Cooper

Department of Mathematical Sciences

Université de Montpellier

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Abstract

We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lamé coefficients only depend on the variable x₁, are bounded in L¹(0, L), and 1με is bounded in L¹(0, L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitté and C. Picard (Appl. Anal. 61 (1996) 307-341).

Translated title of the contribution	Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation
Original language	French
Pages (from-to)	437-442
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	354
Issue number	4
Early online date	11 Feb 2016
DOIs	https://doi.org/10.1016/j.crma.2016.01.004
Publication status	Published - 1 Apr 2016

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title = "Analyse asymptotique de milieux {\'e}lastiques stratifi{\'e}s dans les espaces de fonctions {\`a} d{\'e}formation born{\'e}e",

abstract = "We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lam{\'e} coefficients only depend on the variable x1, are bounded in L1(0, L), and 1με is bounded in L1(0, L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitt{\'e} and C. Picard (Appl. Anal. 61 (1996) 307-341).",

author = "Michel Bellieud and Shane Cooper",

year = "2016",

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AU - Cooper, Shane

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N2 - We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lamé coefficients only depend on the variable x1, are bounded in L1(0, L), and 1με is bounded in L1(0, L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitté and C. Picard (Appl. Anal. 61 (1996) 307-341).

AB - We analyse the asymptotic behaviour of solutions to problems of the type (1) in the case where the Lamé coefficients only depend on the variable x1, are bounded in L1(0, L), and 1με is bounded in L1(0, L). We determine the limit problem under the assumptions (2). Our method applies as well to the heat equation, extending to the general anisotropic setting the results of G. Bouchitté and C. Picard (Appl. Anal. 61 (1996) 307-341).

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Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée

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Analyse asymptotique de milieux élastiques stratifiés dans les espaces de fonctions à déformation bornée

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