Variational Analysis of an Electro-Elasto-Viscoplastic Contact Problem With Friction and Wear

Authors

  • Khezzani Rimi Operators Theory and PDE Laboratory, Department of Mathematics, University of El Oued, P. O. Box 789, El Oued 39000
  • Tedjani Hadj Ammar Department of Mathematics, University of El Oued, P.O.Box 789, El Oued 39000

DOI:

https://doi.org/10.26713/cma.v12i1.1461

Keywords:

Electro-elasto-viscoplastic materials, Internal state variable, Normal compliance, Wear, Evolution equations, Fixed point

Abstract

We consider a dynamic contact problem with wear between two elastic-viscoplastic piezoelectric bodies. The contact is frictional and bilateral which results in the wear of contacting surface. The evolution of the wear function is described with Archard's law. We derive variational formulation for the model and prove an existence and uniqueness result of the weak solution. The proof is based on arguments of nonlinear evolution equations with monotone operators, a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments.

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References

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Published

31-03-2021
CITATION

How to Cite

Rimi, K., & Ammar, T. H. (2021). Variational Analysis of an Electro-Elasto-Viscoplastic Contact Problem With Friction and Wear. Communications in Mathematics and Applications, 12(1), 145–159. https://doi.org/10.26713/cma.v12i1.1461

Issue

Vol. 12 No. 1 (2021)

Section

Research Article

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