Time-dependent analysis of 3D thermo-mechanical behavior of a layered half-space with anisotropic thermal diffusivity

Abstract

A coupled analytical layer-element solution is presented to study the three-dimensional thermo-mechanical behavior of layered material with anisotropic thermal diffusivity in Cartesian coordinates. From the governing equations of three-dimensional thermo-elastic material, the coupled analytical layer elements expressing the relation between generalized displacements and stresses of a single finite layer and the underlying half-space are derived by the Laplace transform and the double Fourier transform. Considering the continuity conditions between adjacent layers and the boundary conditions, the global stiffness matrix of the multilayered half-space is assembled and solved in transformed domain. The real solutions in the physical domain are obtained by applying numerical quadrature schemes for the Laplace–Fourier transform inverse. Finally, numerical computations are carried out to investigate the time-dependent thermo-mechanical response of the material system.