Three-Dimensional Boundary-Element Modeling of Transversal Vibrations of a Poroelastic Plate

摘要

The problem of the effect of a transversal harmonic load on a poroelastic rectangular plate in a 3D formulation is considered. The poroelastic continuum is described using Biot's mathematical model. The material is assumed to consist of a solid phase constituting an elastic form-defining skeleton and carrying most of the loading, and a liquid phase filling the pores. Dynamic equations of the poroelastic medium are written for unknown functions of displacement of the elastic skeleton and pore pressure of the filling material. The boundary-value problem is analyzed using a direct approach of the boundary integral equation (BIE) method. Relations for transversal displacement as a function of frequency have been obtained. For a posteriori analysis of the boundary-element poroelastic solution, boundary-element computations for drained and undrained models of the material are given.