Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (1): 77-86.doi: https://doi.org/10.1007/s10483-010-0108-6

• Articles • 上一篇    下一篇

Approximation of thermoelasticity contact problem with nonmonotone friction

Ivan SESTAK Bosko S. JOVANOVIC   

  1. 1. Faculty of Mine and Geology, University of Belgrade, Djuˇsina 7, 11000 Belgrade, Serbia;
    2. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia
  • 收稿日期:2009-03-30 修回日期:2009-10-17 出版日期:2010-01-03 发布日期:2010-01-01

Approximation of thermoelasticity contact problem with nonmonotone friction

Ivan SESTAK Bosko S. JOVANOVIC   

  1. 1. Faculty of Mine and Geology, University of Belgrade, Djuˇsina 7, 11000 Belgrade, Serbia;
    2. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia
  • Received:2009-03-30 Revised:2009-10-17 Online:2010-01-03 Published:2010-01-01

摘要: The paper presents the formulation and approximation of a static thermoelasticityproblem 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.

Abstract: The paper presents the formulation and approximation of a static thermoelasticityproblem 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.

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