Frictionless contact problems for elastic hemitropic solids: Boundary variational inequality approach

被引：7
|
作者：
Gachechiladze, A. [1 ]
Gachechiladze, R. [2 ]
Natroshvili, D. [1 ,3 ]
机构：
[1] Georgian Tech Univ, Dept Math, GE-0175 Tbilisi, Georgia
[2] Tbilisi State Univ, A Razmadze Math Inst I Javakhishvili, GE-0186 Tbilisi, Georgia
[3] Tbilisi State Univ, I Vekua Inst Appl Math I Javakhishvili, GE-0186 Tbilisi, Georgia
来源：
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2012年 / 23卷 / 03期
关键词：
Hemitropic solids; Cosserat solids; frictionless contact; boundary variational inequality;
D O I：
10.4171/RLM/628
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The frictionless contact problems for two interacting hemitropic solids with different elastic properties is investigated under the condition of natural impenetrability of one medium into the other. We consider two cases, the so-called coercive case (when elastic media are fixed along some parts of their boundaries), and the semicoercive case (the boundaries of the interacting elastic media are not fixed). Using the potential theory we reduce the problems to the boundary variational inequalities and analyse the existence and uniqueness of weak solutions. In the semicoercive case, the necessary and sufficient conditions of solvability of the corresponding contact problems are written out explicitly.
引用
收藏
页码：267 / 293
页数：27
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