Time-dependent behavior of axisymmetric thermal consolidation for multilayered transversely isotropic poroelastic material

The governing equations for axisymmetric thermal consolidation of transversely isotropic poroelastic material are treated by employing Laplace-Hankel transforms to deduce the standard differential equations. Then the extended precise integration method is applied to solve the above standard differential equations. Combining with the continuity conditions and the boundary conditions, the solution in the transformed domain can be achieved. The actual solution can be acquired by inverting the integral transformations. Several numerical examples are provided to examine the accuracy of the theory and to discuss the effects of the properties of materials and the stratification on the time-dependent behavior of thermal consolidation for multilayered transversely isotropic poroelastic material.