Slip-dependent friction in dynamic elasticity

被引：29

作者：

Ionescu, IR

Nguyen, QL

Wolf, S

机构：

[1] Univ Savoie, Math Lab, F-73376 Le Bourget Du Lac, France

[2] Univ Grenoble 1, Lab Geophys Interne, F-38041 Grenoble, France

[3] Natl Polytech INst, Ho Shi Minh, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 3-4期

关键词：

slip-dependent friction; dynamic elasticity; Tresca contact; existence; uniqueness; viscoelasticity; vanishing viscosity;

D O I：

10.1016/S0362-546X(02)00302-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamic evolution with frictional contact of an elastic body is considered. In modeling the contact the Tresca model and a slip-dependent friction law are used. The existence of a solution is proved in the two-dimensional case. The uniqueness is proved for the one-dimensional shearing problem. The convergence, for a vanishing viscosity, of the unique solution of the viscoelastic problem to a solution of the elastic problem is obtained. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：375 / 390

页数：16

共 23 条

[1]

[Anonymous], 1990, MECH EARTHQUAKES FAU

[2] Initiation of antiplane shear instability under slip dependent friction [J].