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
收藏
页码：375 / 390
页数：16
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