A class of evolution variational inequalities with memory and its application to viscoelastic frictional contact problems

被引：15
作者：
Migorski, Stanislaw [1 ]
Ogorzaly, Justyna [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 442卷 / 02期
关键词：
Variational inequality; Subdifferential; History-dependent operator; Viscoelastic material; Frictional contact; Existence; HEMIVARIATIONAL INEQUALITIES; INCLUSIONS;
D O I：
10.1016/j.jmaa.2016.04.076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the first order evolution variational inequality involving two history-dependent operators. A result on existence and uniqueness of solution is proved. We illustrate the applicability of this result by considering a dynamic frictional contact problem for viscoelastic material with the normal compliance contact condition with memory and Coulomb's law of dry friction. (C) 2016 Elsevier Inc. All rights reserved.
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收藏
页码：685 / 702
页数：18
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