Saint-Venant's Problem for Porous Linear Elastic Materials

Abstract

We use a semi-inverse method to study deformations of a straight, prismatic, homogeneous body made of a porous, linear elastic, and isotropic material and loaded only at its end faces by self equilibrated forces. As in the classical theory, the problem is reduced to solving plane elliptical problems. It is shown that the Clebsch/Saint-Venant and Voigt hypotheses are not valid for this problem.