Asymptotic study of a frictionless contact problem between two elastic bodies
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Authors
Y. Letoufa
- Applied Mathematics Laboratory, El Oued University, 39000, Algeria.
H. Benseridi
- Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria.
M. Dilmi
- Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria.
Abstract
We consider a mathematical model which describes the bilateral, frictionless contact between two
elastic bodies. We will establish a variational formulation for the problem and prove the existence
and uniqueness of the weak solution. We then study the asymptotic behavior when one dimension of
the domain tends to zero. In which case, the uniqueness result of the solution for the limit problem
are also proved.
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ISRP Style
Y. Letoufa, H. Benseridi, M. Dilmi, Asymptotic study of a frictionless contact problem between two elastic bodies, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 336-350
AMA Style
Letoufa Y., Benseridi H., Dilmi M., Asymptotic study of a frictionless contact problem between two elastic bodies. J Math Comput SCI-JM. (2016); 16(3):336-350
Chicago/Turabian Style
Letoufa, Y., Benseridi, H., Dilmi, M.. "Asymptotic study of a frictionless contact problem between two elastic bodies." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 336-350
Keywords
- A priori inequalities
- free boundary problems
- nonlinear equation
- transmission conditions
- Tresca law
- variational problem.
MSC
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