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Durham University

Department of Engineering

Staff Profile

Publication details for Dr Ashraf Osman

Osman, A.S & Randolph, M. F. (2010). Response of a solid infinite cylinder embedded in a poroelastic medium and subjected to a lateral load. International Journal of Solids and Structures 47(18-19): 2414-2424

Author(s) from Durham

Abstract

This paper presents an analytical solution for the response of a poroelastic medium around a laterally loaded rigid cylinder using Biot’s consolidation theory. A plane-strain section of the cylinder-porous medium system is considered and the problem is formulated in polar coordinates.
Expressions for the pore fluid pressure, stresses and displacements in the Laplace domain are
derived analytically. The inverse of the Laplace transform is evaluated numerically using an
efficient scheme. Curves showing decay of the pore fluid pressure with time, the corresponding
change in mean effective stress and the variation of displacement, are plotted in non-dimensional
form.