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