具有非单调摩擦热弹性接触问题的有限元法

I·谢斯塔克; B·S·乔凡诺维克

doi:10.3879/j.issn.1000-0887.2010.01.008

具有非单调摩擦热弹性接触问题的有限元法

doi: 10.3879/j.issn.1000-0887.2010.01.008

I·谢斯塔克¹,
B·S·乔凡诺维克²

贝尔格莱德大学采矿和地质学院,贝尔格莱德 11000, 塞尔维亚;

基金项目: 塞尔维亚共和国科学部资助项目(144005)

详细信息

中图分类号: O176;O343.3;O241.82
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出版历程
- 收稿日期: 2009-03-29
- 修回日期: 2009-10-17
- 刊出日期: 2010-01-15

Approximation of Thermoelasticity Contact Problem With Nonmonotone Friction

Ivan Šestak¹,
Bo>>ko S. Jovanović²

University of Belgrade, Faculty of Mining and Geology, Du>>ina 7, 11000 Belgrade, Serbia;
University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia

摘要

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．
- 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
Abstract: The formulation and approxmiation 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 form ulated. All problems form ulated were approxmiated by the finite element method.
- static thermoelastic contact /
- nonmonotone multivalued friction /
- hemivariational inequality /
- substationary problem /
- finite element approxmiation

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参考文献(19)

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