Semi-analytical solution of three-dimensional thermoelastic problem for half-space with gradient coating

Abstract

The article deals with a homogeneous isotropic thermoelastic half-space with an inhomogeneous gradient coating under thermal loadings over an elliptically shaped area. The shear modulus, the thermal expansion, and thermal conductivity coefficients depend exponentially on the depth from the boundary surface, and the Poisson ratio is constant in the coating layer. The considered three-dimensional problem is solved by using the double-Fourier transform method. The distributions of displacements, temperature, and stresses are presented in the integral forms and analyzed numerically.