Analysis of electro-visco-elastic contact problem with friction
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Authors
A. Bachmar
- Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria.
T. Serrar
- Applied Mathematics Laboratory, Setif 1 University, 19000, Algeria.
Abstract
A quasistatic frictional contact problem is studied. The material behavior is modeled with a
nonlinear electro-visco-elastic constitutive law, allowing piezoelectric effects. The body may come
into contact with a rigid obstacle. Contact is described with the Signorini condition, a version
of Coulomb's law of dry friction, and a regularized electrical conductivity condition. We derive a
variational formulation of the problem, then, under a smallness assumption on the coefficient of
friction, we prove an existence and uniqueness result of a weak solution for the model. The proof
is based on arguments of elliptic variational inequalities and fixed points of operators.
Share and Cite
ISRP Style
A. Bachmar, T. Serrar, Analysis of electro-visco-elastic contact problem with friction, Journal of Mathematics and Computer Science, 16 (2016), no. 4, 529-540
AMA Style
Bachmar A., Serrar T., Analysis of electro-visco-elastic contact problem with friction. J Math Comput SCI-JM. (2016); 16(4):529-540
Chicago/Turabian Style
Bachmar, A., Serrar, T.. "Analysis of electro-visco-elastic contact problem with friction." Journal of Mathematics and Computer Science, 16, no. 4 (2016): 529-540
Keywords
- Piezoelectric
- frictional contact
- electro-visco-elastic
- fixed point
- quasistatic process
- Coulomb's friction law
- variational inequality.
MSC
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