Axisymmetric Deformation Of An Isotropic Elastic Liquid-saturated Porous Medium Using An Eigenvalue Approach

摘要

A deformation problem of an isotropic elastic liquid-saturated porous medium has been discussed by finding a general solution to the field equations of poroelasticity under axisymmetric conditions. An eigenvalue approach using the Laplace and the Hankel transforms is applied to get the solution. To show the utility of the solution obtained, an application of an infinite space with a concentrated point force acting at some interior point of the medium has been considered. The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Laplace and the Hankel transforms. The results in the form of displacement and stress components have been obtained numerically and discussed graphically for a particular model.