Viscoelastic Plate on Poroelastic Foundation

A solution for the quasistatic response of a linear viscoelastic infinite plate supported on a poroelastic half-space, subjected to a uniform circular loading, is presented. The poroelastic material is defined to be an interacting mixture of materials, consisting of a linear elastic porous solid and an incompressible fluid. Mathematical descriptions of poroelastic medium and viscoelastic plate are presented. The initial-boundary value problem that models the deformation response to load application is solved using iterated Laplace-Hankel integral transformations. Numerical inversions of the transformed solution images that are obtained are considered. An example of numerical solution for the plate deflection and foundation reaction as functions of time is presented.