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. (C) 2016 Elsevier Inc. All rights reserved.