Semi-inverse solution for Saint-Venant's problem in the theory of porous elastic materials

详细信息    查看全文

• 作者：Ionel-Dumitrel Ghiba
• 关键词：Saint-Venant's problem ; Semi-inverse solution ; Anisotropic elastic materials with voids
• 刊名：European Journal of Mechanics - A/Solids
• 出版年：2008
• 出版时间：November-December 2008
• 年：2008
• 卷：27
• 期：6
• 页码：1060-1074
• 全文大小：181 K

文摘

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.