In present research, we investigate dynamic coupled thermoelasticity problem for a “coating-substrate” system. We present a number of models of thermoelastic deformation of the “coating-substrate” system with thermomechanical characteristics which may vary both continuously and discontinuously. To solve these problems, we use the variational principle of coupled thermoelasticity in the Laplace transforms space and hypotheses on a distribution of temperature and displacements transforms. The transforms inversion is realized according to the Durbin method. The calculations were carried out based on both proposed simplified models and FEM.

中文翻译：

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关于“涂层-基材”系统变形的一些热弹性模型

在目前的研究中，我们研究了“涂层-基材”系统的动态耦合热弹性问题。我们介绍了具有热机械特性的“涂层-基材”系统的热弹性变形的许多模型，这些模型可能会连续和不连续地变化。为了解决这些问题，我们使用了拉普拉斯变换空间中耦合热弹性的变分原理，并假设了温度和位移变换的分布。变换反演是根据Durbin方法实现的。计算是基于建议的简化模型和有限元方法进行的。