The Method of Separation of Variables in the Problem of Theory of Elasticity for Radially Inhomogeneous Cylinder

Author:

Andreev Vladimir I.1

Affiliation:

1. Moscow State University of Civil Engineering

Abstract

The article deals with the numerical-analytical method of solving problems in the theory of elasticity of inhomogeneous bodies in terms of displacements for a circular cylinder. We consider two-and three-dimensional problems. After separation of variables, the problem is reduced to the numerical solution of the system of differential equations of the first order.

Publisher

Trans Tech Publications, Ltd.

Reference10 articles.

1. S.P. Timoshenko and J.N. Goodier, Theory of elasticity,  New York McGraw-Hill, (1951).

2. V.I. Andreev and N. Yu, Cybin, Generalization of Michel's solution of plane problem theory of elasticity in polar coordinates in the event of a radially inhomogeneous body, WIT Trans. Modelling Simulat. 57 (2014) 215-227.

3. V.I. Andreev, About one method of solving of plane problem of the theory of elasticity for radial inhomogeneous body, Appl. Mech. (Kiev), 23 (4) (1987) 16-23.

4. V.I. Andreev and A.S. Minayeva, Modeling of equal-stressed cylinder exposed power and thermal stresses, Int. J. Comput. Civil Struct. Eng. 7 (1) (2011) 71-75.

5. V.I. Andreev and I.A. Dubrovskiy, Тhe irradiation effect on the stress state of a concrete shells, Int. J. Comput. Civil Struct. Eng. 6 (2010) 39-44.

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