On the Deformation of Functionally Graded Porous Elastic Cylinders |
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Authors: | Dorin Ie?an Antonio Scalia |
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Institution: | (1) Department of Mathematics, “Al.I. Cuza” University, 700506 Iaşi, Romania;(2) Dipartimento di Matematica e Informatica Univ. Catania, Viale A. Doria n. 6, 95125 Catania, Italy |
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Abstract: | This paper is concerned with the linear theory of inhomogeneous and orthotropic elastic materials with voids. We study the
problem of extension and bending of right cylinders when the constitutive coefficients are independent of the axial coordinate.
First, the plane strain problem for inhomogeneous and orthotropic elastic materials with voids is investigated. Then, the
solution of the problem of extension and bending is expressed in terms of solutions of three plane strain problems. The results
are used to study the extension of a circular cylinder with a special kind of inhomogeneity. The influence of the material
inhomogeneity on the axial strain is established.
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Keywords: | Saint-Venant’ s problem Plane strain problem Extension and bending Elastic materials with voids Inhomogeneous bodies Orthotropic elastic cylinders |
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