Three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material

An exact solution for three-dimensional thermo-hydro-mechanical responses of stratified saturated porothermoelastic material containing a heat source is derived in this paper. Starting with the governing equations of porothermoelastic materials in the Cartesian coordinates, analytical layer-elements of a finite layer and a half-space are obtained in the transformed domain with the aid of Laplace-Fourier transform. The global stiffness matrix of a multi-layered system is assembled and solved in the transformed domain by considering the continuity conditions at adjacent layer interfaces and the boundary conditions. By introducing the inversion of Laplace-Fourier transform, the actual solution in the physical domain is obtained. Finally, a numerical example is carried out to confirm the efficiency and accuracy of the present method, and then a series of numerical examples are performed to study the effects of heat source's half-life and shape, thermo-permeability ratio and stratified material properties on the responses of saturated porothermoelastic material.