具有非单调摩擦热弹性接触问题的有限元法  

Approximation of Thermoelasticity Contact Problem With Nonmonotone Friction

作　　者：I·谢斯塔克 B·S·乔凡诺维克 黄雅意(译) 张禄坤(校) 

机构地区：[1]贝尔格莱德大学采矿和地质学院,贝尔格莱德11000,塞尔维亚 [2]贝尔格莱德大学数学学院,贝尔格莱德11000,塞尔维亚 [3]不详

出　　处：《应用数学和力学》2010年第1期71-80,共10页Applied Mathematics and Mechanics

基　　金：塞尔维亚共和国科学部资助项目(144005)

摘　　要：给出了一个变形体和刚性基础之间用双边摩擦表达其接触性质的、静态热弹性问题的方程式及其近似解法.以非单调、多值性表示该摩擦定律.忽略了问题的耦合效应,则问题的传热部分与弹性部分各自独立处理.位移矢量公式化为非凸的次静态问题,用局部Lipschitz连续函数来表示变形体的总势能.用有限单元法近似求解全部问题.The formulation and approximation of a static thermoelasticity problem that described bilateral frictional contact between a deformable body and a rigid foundation was presented. The friction was in the form of nonmonotone and multivalued law. The coupling effect of the problem was neglected, therefore the thermic part of the problem was considered independently of the elasticity problem. For the displacement vector, a substationary problem for non-convex, locally Lipschitz continuous functional representing the total potential energy of the body was formulated. All problems formulated were approximated by the finite element method.

关 键 词：静态热弹性接触 非单调多值摩擦 半变分不等式 次静态问题 有限单元近似法 

分 类 号：O176[理学—数学] O343.3[理学—基础数学]