Hemivariational inequality for viscoelastic contact problem with slip-dependent friction

被引:35
|
作者
Migórski, S [1 ]
Ochal, A [1 ]
机构
[1] Jagiellonian Univ, Fac Math & Comp Sci, Inst Comp Sci, PL-30072 Krakow, Poland
关键词
hemivariational inequality; friction; viscoelasticity; slip; subdifferential; contact problem; nonconvex;
D O I
10.1016/j.na.2004.11.018
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we consider a class of hyperbolic hemivariational inequalities modeling the frictional contact between a viscoelastic body and a rigid foundation. The friction law is described by a multivalued subdifferential relation which includes the slip displacement dependent friction and the Tresca models. We establish the existence of weak solutions to the problem by using a surjectivity result for pseudomonotone mappings. (c) 2005 Elsevier Ltd. All rights reserved.
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页码:135 / 161
页数:27
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