Abstract
We propose a method for the solution of two-dimensional stationary problems of thermoelasticity for a multilayer plate with elastic links between the layers elastically coupled with a rigid half plane. The procedure is based on the method of compliance functions with the use of the one-dimensional Fourier integral transformation. We construct the recurrence relations for the compliance functions that take into account the influence of thermal loads and the elastic links between layers. For a two-layer plate subjected to the action of thermal loads applied to the upper boundary of the plate, we analyze the influence of the elastic links, the coefficients of thermal expansion, and the heat-conduction coefficients on the distributions of normal and tangential stresses on the common boundary of the layers.
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