Approximation of thermoelasticity contact problem with nonmonotone friction

作     者：Ivan ESTAK Boko S. JOVANOVI 

作者机构：Faculty of Mine and GeologyUniversity of Belgrade Faculty of MathematicsUniversity of Belgrade 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2010年第31卷第1期

页      面：77-86页

核心收录：

学科分类：08[工学] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the Minisitry of Science of the Republic of Serbia (No. 144005) 

主　　题：static thermoelastic contact nonmonotone multivalued friction hemivari-ational inequality substationary problem finite element approximation 

摘      要：The paper presents the formulation and approximation of a static thermoelasticity problem that describes bilateral frictional contact between a deformable body and a rigid foundation. The friction is in the form of a nonmonotone and multivalued law. The coupling effect of the problem is neglected. Therefore, the thermic part of the problem is considered independently on the elasticity problem. For the displacement vector, we formulate one substationary problem for a non-convex, locally Lipschitz continuous functional representing the total potential energy of the body. All problems formulated in the paper are approximated with the finite element method.