Frictional contact problem for elastic-viscoplastic materials with thermal effect  

作　　者：M. SELMANI L. SELMANI 

机构地区：[1]Department of Mathematics, University of Setif

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第6期761-776,共16页应用数学和力学（英文版）

摘　　要：A dynamic contact problem for elastic-viscoplastic materials with thermal effects is investigated. The contact is bilateral, and the friction is modeled with Tresca＇s friction law with heat exchange. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear first order evolution inequalities, the equations with monotone operators, and the fixed point arguments. Finally, the continuous dependence of the solution on the friction yield limit is studied.A dynamic contact problem for elastic-viscoplastic materials with thermal effects is investigated. The contact is bilateral, and the friction is modeled with Tresca＇s friction law with heat exchange. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear first order evolution inequalities, the equations with monotone operators, and the fixed point arguments. Finally, the continuous dependence of the solution on the friction yield limit is studied.

关 键 词：thermo-elasto-viscoplastic material dynamic process bilateral contact Tresca＇s friction evolution inequality evolution equation weak solution fixed point 

分 类 号：O343.6[理学—固体力学]