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