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

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: I.D. Ghiba

Editorial: European Journal of Mechanics - A/Solids, 27, p.1060-1074, 2008.

Rezumat:

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.

Cuvinte cheie: Saint-Venant's problem; Semi-inverse solution; Anisotropic elastic materials with voids