Homogenization results for micro-contact elasticity problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:441

Article

Capatina, Anca¹  Timofte, Claudia² 

[1] Romanian Acad, Inst Math, POB 1-764, RO-70700 Bucharest, Romania

[2] Univ Bucharest, Fac Phys, POB MG-11, Bucharest, Romania

关键词: Homogenization;    Frictional contact;    The periodic unfolding method;   

DOI  :  10.1016/j.jmaa.2016.04.015

来源: Elsevier

【 摘 要 】

The asymptotic behavior of some elasticity problems, in a perforated domain, is analyzed. We address here the case of an epsilon-periodic perforated structure, with rigid inclusions of the same size as the period. The body occupying this domain is considered to be clamped along a part of its outer boundary and subjected to given tractions on the rest of the exterior boundary. Several nonlinear conditions on the boundary of the rigid inclusions are considered. The approach we follow is based on the periodic unfolding method, which allows us to deal with general materials. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free