Approximation of thermoelasticity contact problem with nonmonotone friction
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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.
Key wordsstatic thermoelastic contact nonmonotone multivalued friction hemivariational inequality substationary problem finite element approximation
Chinese Library ClassificationO343.6
2000 Mathematics Subject Classification49J40 74M10 74S05
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- Goeleven, D., Motreanu, D., Dumont, Y., and Rochdi, M. Variational and Hemivariational Inequalities-Theory, Methods and Applications, Volume I: Unilateral Analysis and Unilateral Mechanics, Kluwer Academic, Boston/Dordrecht/London (2003)Google Scholar
- Goeleven, D. and Motreanu, D. Variational and Hemivariational Inequalities-Theory, Methods and Applications, Volume II: Unilateral Problems, Kluwer Academic, Dordrecht/London (2003)Google Scholar
- Naniewicz, Z. and Panagiotopoulos, P. D. Mathematical Theory of Hemivariational Inequalities and Applications, Marcel Dekker, New York/Basel/Hong Kong (1995)Google Scholar
- Haslinger, J., Miettinen, M., and Panagiotopoulos, P. D. Finite Element Method for Hemivariational Inequalities. Nonconvex Optimization and its Applications, Vol. 35, Kluwer Academic, Dordrecht (1999)Google Scholar
- Adams, R. S. Sobolev spaces. Pure and Applied Mathematics, Vol. 65, Academic Press, New York/London (1975)Google Scholar
- Nečas, J. Direct Methods in Theory of Elliptic PDEs (in French), Masson, Paris (1967)Google Scholar