This article presents an overview on poroelastodynamic models and some analytical solutions. A brief summary of Biot’s theory and on other poroelastic dynamic governing equations is given. There is a focus on dynamic formulations and the quasi-static case is not considered at all. Some analytical solutions for special problems, fundamental solutions, and Green’s functions are discussed. The numerical realization with two different methodologies, namely the Finite Element Method and the Boundary Element Method, is reviewed. Preprint No 3/2008 Institute of Applied Mechanics

Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods

Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load

This paper considers the vertical vibrations of an elastic circular plate in a multilayered poroelastic half space. The plate is subjected to axisymmetric timeharmonic vertical loading and its response is governed by the classical thin-plate theory. The contact surface between the plate and the multilayered half space is assumed to be smooth and either fully permeable or impermeable. The half space under consideration consists of a number of layers with different thicknesses and material properties and is governed by Biot’s poroelastodynamic theory. The vertical displacement of the plate is represented by an admissible function containing a set of generalized coordinates. Contact stress and pore pressure jump are established in terms of generalized coordinates through the solution of flexibility equations based on the influence functions corresponding to vertical and pore pressure loading. Solutions for generalized coordinates are obtained by establishing the equation of motion of the plate through the application of Lagrange’s equations of motion. Selected numerical results are presented to portray the influence of various parameters on dynamic interaction between an elastic plate and a multilayered poroelastic half space.

Jin Bo

Papers

Vertical dynamic response of a disk on a saturated poroelastic half-space

Elastic halfspace under impulsive, distributed, vertical loading at the surface: exact solution at the center for a punch-like distribution