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Saint-Venant's Problem for Porous Linear Elastic Materials
Authors:Francesco Dell'Isola  RC Batra
Institution:(1) Dipartimento Ingegneria Strutturale e Geotecnica, Università di Roma ‘La Sapienza’, Via Eudossiana n. 18, 00184 Roma, Italy;(2) Department of Engineering Science and Mechanics, Viurginia Polytechnic Institute and State University, Blacksburg, VA 24061-0219, USA
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. This revised version was published online in August 2006 with corrections to the Cover Date.
Keywords:inverse solution  Clebsch hypothesis  Voigt hypothesis  plane elliptic problems  
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