Quasi-static thermal analyses of layered compressible poroelastic materials with a finite depth or half-space

Quasi-static thermal analyses of layered compressible poroelastic materials with a finite depth or half-space caused by a heat source are carried out via extending the precise integration method in this study. The Laplace-Fourier transforms are applied to reduce partial differential equations of three-dimensional coupled thermo-hydro-mechanical problem to ordinary ones in the transform domain. By means of the precise integration method, a precise solution of layered materials induced by a heat source is deduced, and then, the previous ordinary differential equations are solved by substituting these equations into the extended precise integration solution. The actual solution is solved by applying the Laplace-Fourier inverse transforms. And lastly, numerical computations are performed to validate the method, and to analyze the effects of compressible constituents and layered characteristic as well as the heat source's half-life on thermal consolidation.