Analysis and numerical simulations of a dynamic contact problem with adhesion

被引:33
作者
Fernández, JR [1 ]
Shillor, M
Sofonea, M
机构
[1] Univ Santiago de Compostela, Fac Matemat, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain
[2] Oakland Univ, Dept Math & Stat, Rochester, MI 48309 USA
[3] Univ Perpignan, Lab Theorie Syst, F-66860 Perpignan, France
关键词
adhesive contact; normal compliance; bonding field; history dependence adhesion; weak solution; numerical algorithm; numerical simulations;
D O I
10.1016/S0895-7177(03)90043-4
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The dynamic process of frictionless contact between a viscoelastic body and a reactive foundation is modelled, analyzed, and simulated. The contact is adhesive and it is described by introducing an internal variable, the bonding field beta, which measures the fractional density of active bonds. The evolution of beta is described by an ordinary differential equation that depends on the process history, taking into account possible adhesive degradation during cycles of debonding and rebonding. The existence of the unique weak solution of the model is proved by using arguments of nonlinear evolutionary equations with monotone operators and a fixed-point theorem. A fully discrete numerical scheme is proposed for the model and implemented in a computer code. Numerical simulations of one- and two-dimensional examples are presented. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1317 / 1333
页数:17
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