An anisotropic layered poroelastic half-space subjected to a moving point load

The dynamic responses of an anisotropic layered poroelastic half-space subjected to a moving point load are studied based on the Stroh formalism and Fourier transform. The material in each layer of the half-space is anisotropic and poroelastic one. Utilizing the boundary conditions at the half-space surface (permeable or impermeable) and the continuity conditions between each layer, the three-dimensional (3D) solutions for the displacements, the pore pressure, the stresses and the fluid fluxes are obtained. Numerical examples show the validity and elegance of the present solution. For some special cases, our solutions agree with the known results. For the anisotropic case, the 3D dynamic Green's functions for the multi-layered poroelastic half-space show clearly the effect of material properties on the displacement and stress distributions.

Automated summary

The dynamic responses of an anisotropic layered poroelastic half-space under a moving point load were studied using Stroh formalism and Fourier transform. Three-dimensional solutions for displacements, pore pressure, stresses, and fluid fluxes were obtained by considering boundary conditions and continuity conditions. Numerical examples validated the solution's accuracy and elegance, with agreement with known results in special cases, and the 3D dynamic Green's functions showed the impact of material properties on displacement and stress distributions.