A dynamic model with friction and adhesion with applications to rocks

被引：15

作者：

Dumont, Y ^{[1
]}

Goeleven, D

Rochdi, M

Kuttler, KL

Shillor, M

机构：

[1] Univ Reunion, IREMIA, F-97400 St Denis, France

[2] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

[3] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 247卷 / 01期

关键词：

dynamic frictional contact; rocks; hemivariational inequality; adhesion; normal compliance; viscoelastic body;

D O I：

10.1006/jmaa.2000.6828

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Dynamic frictional contact with adhesion of a viscoelastic body and a foundation is formulated as a hemivariational inequality. This may model the dynamics of rock layers. The normal stress-displacement relation on the contact boundary is nonmonotone and nonconvex because of the adhesion process. A sequence of regularized problems is considered, the necessary a priori estimates are obtained, and the existence of a weak solution for the hemivariational inequality is established by passing to the limit as the regularization parameter vanishes. (C) 2000 Academic Press.

引用

页码：87 / 109

页数：23

共 20 条

[1] On the dynamic behaviour of a thermoviscoelastic body in frictional contact with a rigid obstacle [J].