Variational Analysis For Some Frictional Contact Problems

被引：6

作者：

Kaki, L. Ait ^{[1
]}

Denche, M. ^{[2
]}

机构：

[1] Univ Ferhat Abbas Setif 1, Dept Math, Setif, Algeria

[2] Univ Constantine 1, Dept Math, Constantine, Algeria

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 07期

关键词：

Evolutionary variational inequality; Fixed point; Frictional contact; Piezoelectric material; VISCOELASTIC-CONTACT; PIEZOELECTRIC BODY; INEQUALITIES;

D O I：

10.5269/bspm.v38i7.44258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a class of evolutionary variational problems which describes the static frictional contact between a piezoelectric body and a conductive obstacle. The formulation is in a form of coupled system involving the displacement and electric potential fields. We provide the existence of unique weak solution of the problems. The proof is based on the evolutionary variational inequalities and Banach's fixed point theorem.

引用

页码：21 / 36

页数：16

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