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首页> 外文期刊>Discrete and continuous dynamical systems >LONG-TIME BEHAVIOUR OF A THERMOMECHANICAL MODEL FOR ADHESIVE CONTACT
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LONG-TIME BEHAVIOUR OF A THERMOMECHANICAL MODEL FOR ADHESIVE CONTACT

机译：胶粘剂接触热力学模型的长时间行为

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摘要

This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal effects are taken into account. The phenomenon of adhesive contact is described in terms of phase transitions for a surface damage model proposed by M. Fremond. Thermal effects are governed by entropy balance laws. The resulting system is highly nonlinear, mainly due to the presence of internal constraints on the physical variables and the coupling of equations written in a domain and on a contact surface. We prove existence of solutions on the whole time interval (0, +∞) by a double approximation procedure. Hence, we are able to show that solution trajectories admit cluster points which fulfil the stationary problem associated with the evolutionary system, and that in the large-time limit dissipation vanishes.
机译：在考虑热效应的情况下，本文将对PDE系统建模进行大量分析，以建立与粘附的接触。 M. Fremond提出的表面损伤模型的相变描述了胶粘剂接触现象。热效应受熵平衡定律支配。最终的系统是高度非线性的，这主要是由于对物理变量存在内部约束以及在域中和接触面上编写的方程式的耦合。通过双重逼近过程证明了在整个时间间隔（0，+∞）上解的存在。因此，我们能够证明，解决方案轨迹允许聚类点满足与演化系统相关的平稳问题，并且在大限度内耗散消失。

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