Asymptotic analysis of a quasi-static contact problem for thermoviscoelastic materials with Tresca friction and source term
Abstract
This paper deals with the asymptotic behavior of a quasi-static contact problem for thermoviscoelastic materials in a three dimensional thin domain Ωε with nonlinear friction of Tresca type and nonlinear source term. We will establish a variational formulation for the problem and we give the Theorem of the existence 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 displacement and the temperature for the limit problem is also proved
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Copyright (c) 2026 Mohamed Dilmi
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