Multi-materials with strong interface: Young measures formulation

被引：0

作者：

Bessoud, Anne Laure ^{[1
,2
]}

机构：

[1] Univ Montpellier 2, LMGC, UMR CNRS 5508, Case Courier 048, F-34095 Montpellier 5, France

[2] Univ Montpellier 2, UMR CNRS 5149, ACSIOM, F-34095 Montpellier 5, France

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 93卷 / 05期

关键词：

Microstructures; Young measures; Variational convergences; Gamma-convergence; THIN-FILMS;

D O I：

10.1016/j.matpur.2009.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a model of a multi-material with strong interface, whose thickness and stiffness are of orders epsilon and 1/epsilon, which encodes the gradient oscillations of the minimizing sequences. The stored strain energy of the structure is written in terms of Young measures variables and the new model is obtained by computing a suitable variational limit of the energy functional when epsilon tends to zero. We also obtain a microscopic description of the classical solution. (C) 2009 Elsevier Masson SAS. All rights reserved.

引用

页码：518 / 535

页数：18