The influence of an internal variable heat source on the perfect contact of three thermoelastic layers characterized by hereditary features

Abstract

In this work, we present a two-dimensional problem of thermoelastic and thermo-viscoelastic materials which consists of three thick layers with a finite thickness and infinite extent. These layers are placed in a perfect contact one on top of another. The outer surfaces of the layers are assumed to be thermally isolated and rigidly fixed. There is a disturbed variable heat source filling the middle layer. Continuity conditions between the layers ensure the continuity of the temperature, normal heat flux, displacement, and normal stresses across layers. Laplace and exponential Fourier transforms are used to solve the problem. Inverse transforms are computed numerically to obtain the solution in the physical domain. Graphical results are presented and discussed for all variable fields.