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- W1980030438 abstract "In this paper we present a model of dynamic frictional contact between a thermoviscoelastic body and a foundation. The thermoviscoelastic constitutive law includes a temperature effect described by the parabolic equation with the subdifferential boundary condition and a damage effect described by the parabolic inclusion with the homogeneous Neumann boundary condition. Contact is modeled with bilateral condition and is associated to a subdifferential frictional law. The variational formulation of the problem leads to a system of hyperbolic hemivariational inequality for the displacement, parabolic hemivariational inequality for the temperature and parabolic variational inequality for the damage. The existence of a unique weak solution is proved by using recent results from the theory of hemivariational inequalities, variational inequalities, and a fixed point argument." @default.
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- W1980030438 date "2015-02-01" @default.
- W1980030438 modified "2023-09-27" @default.
- W1980030438 title "Dynamic thermoviscoelastic problem with friction and damage" @default.
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- W1980030438 doi "https://doi.org/10.1016/j.nonrwa.2014.06.004" @default.
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