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- W2121030557 abstract "This paper deals with the large-time analysis of a PDE systemmodelling contact with adhesion, in the case when thermaleffects are taken into account. The phenomenon of adhesive contactis described in terms of phase transitions for a surface damagemodel proposed by M. Frémond. Thermal effects are governed by entropy balance laws. Theresulting system is highly nonlinear, mainly due to the presence ofinternal constraints on the physical variables and the coupling ofequations written in a domain and on a contact surface. We proveexistence of solutions on the whole time interval $(0,+infty)$ by adouble approximation procedure. Hence, we are able to show thatsolution trajectories admit cluster points which fulfil thestationary problem associated with the evolutionary system, and thatin the large-time limit dissipation vanishes." @default.
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- W2121030557 date "2011-01-01" @default.
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- W2121030557 title "Long-time behaviour of a thermomechanical model for adhesive contact" @default.
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- W2121030557 doi "https://doi.org/10.3934/dcdss.2011.4.273" @default.
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