Axisymmetric and in-plane transient responses of multilayered transversely isotropic poroelastic media

Abstract

Based on the integral transform theorem and the extended precise integration method (EPIM), this paper investigates the axisymmetric and in-plane transient dynamic responses of multilayered transversely isotropic (TI) poroelastic media. First, the governing equations are transformed into ordinary differential equations by virtue of the integral transform technique. It can be found that the transformed equations of the axisymmetric problem are similar to those of the in-plane problem. Then, we introduce the boundary conditions and apply the EPIM to obtain the transient dynamic solution in the transformed domain. The actual solution is further gotten by the numerical transform inversion. Various suddenly applied load forms are considered in this work, including concentrated point loads, line loads, uniform strip loads and circular loads. Several numerical examples are provided to verify the proposed theory and to investigate the differences of the transient problems in cylindrical coordinates and Cartesian coordinates. The influences of transverse isotropy and load forms on transient behaviors are also analyzed.