Journal
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
Volume 27, Issue 6, Pages 1060-1074Publisher
ELSEVIER
DOI: 10.1016/j.euromechsol.2007.12.008
Keywords
Saint-Venant's problem; Semi-inverse solution; Anisotropic elastic materials with voids
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Funding
- Romanian Ministry of Education
- CEEX [CERES-2-CEx06-11-12]
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The purpose of this research is to study the Saint-Venant's problem for right cylinders with general cross-section made of inhomogeneous anisotropic elastic materials with voids. We reformulate the quasi-static equilibrium equations with the axial variable playing the role of a parameter. Two classes of semi-inverse solutions to Saint-Venant's problem are described in terms of five generalized plane strain problems. These classes are used in order to obtain a semi-inverse solution for the relaxed Saint-Venant's problem. An application of this results in the study of extension, bending. torsion and flexure of right circular cylinders in the case of isotropic materials is presented. (C) 2008 Elsevier Masson SAS. All rights reserved.
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