Poroelastodynamic solutions of transversely isotropic multi-layered media

Abstract

This dissertation presents poroelastodynamic fundamental solutions of transversely isotropic poroelastic materials. Analytical general solutions for transversely isotropic poroelastic media under time-harmonic loading are derived for plane strain and axisymmetric problems by applying Fourier and Hankel integral transforms respectively. The fundamental solutions for a homogeneous half-space are then explicitly obtained by solving relevant boundary value-problems based on the derived general solutions. An exact stiffness matrix method is also employed based on the present general solutions to determine the fundamental solutions corresponding to multi-layered transversely isotropic poroelastic media. The obtained fundamental solutions are then employed in the analysis of dynamic interaction problems between foundations and transversely isotropic poroelastic soils. A computer code is developed to obtain numerical solutions for each problem, and its accuracy is verified by comparing with existing solutions. Selected numerical results are presented to portray the influence of anisotropic and poroelastic properties on dynamic response of transversely isotropic poroelastic media under time-harmonic loading. In addition, numerical solutions on soil-structure interaction problems involving strip and circular foundations are also obtained by employing a semi-analytical discretization scheme based on the present fundamental solutions to demonstrate the influence of soil properties, the foundation flexibility, the embedded depth, and the frequency of excitation on the foundation response.