Modeling of quasistatic thermoviscoelastic frictional problem with normal compliance and damage effect
This work studies a model of quasistatic frictional contact between a thermoviscoelastic body and a reactive foundation. The constitutive law is assumed to be nonlinear and contains temperature effect described by a parabolic equation as well as damage effect modeled by a parabolic inclusion. Contact is described by the normal compliance condition and by a subdifferential frictional condition. A variational formulation of the problem is provided and the existence and uniqueness of its weak solution is proved. The proof is based on a surjectivity result for pseudomonotone coercive operators and a fixed point argument.
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