Another brick in the wall

被引：0

作者：

Braides, Andrea ^{[1
]}

Piat, Valeria Chiado ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

VARIATIONAL PROBLEMS IN MATERIALS SCIENCE | 2006年 / 68卷

关键词：

homogenization; masonry-like materials; unilateral conditions; Gamma-convergence; functions of bounded deformation;

D O I：

暂无

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

We study the homogenization of a linearly elastic energy defined on a periodic collection of disconnected sets with a unilateral condition on the contact region between two such sets, with the model of a brick wall in mind. Using the language of Gamma-convergence we show that the limit homogenized behavior of such an energy can be described on the space of functions with bounded deformation using the masonry-type functionals studied by Anzellotti, Giaquinta and Giusti. In this case, the limit energy density is given by the homogenization formula related to the brick-wall type energy.

引用

页码：13 / +

页数：3

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