 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 53, Issue 7 / 2018 | Next article >> |
| G.Z. Sharafutdinov, "The Application of Complex Potentials to the Problems of Plane Stress State for an Inhomogeneous Material," Mech. Solids. 53 (S1), 146-154 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S1 |
Pages |
146-154 |
| DOI |
10.3103/S0025654418030135 |
| Title |
The Application of Complex Potentials to the Problems of Plane Stress State for an Inhomogeneous Material |
| Author(s) |
G.Z. Sharafutdinov (Institute of Mechanics, Moscow State University, Moscow, 119192 Russia, sharaf@imec.msu.ru) |
| Abstract |
Problems of elasticity theory of inhomogeneous bodies (such as a plate) about the of plane
stress state are considered in spatial formulation. It is assumed that the material is inhomogeneous by
thickness and its properties change symmetrically with respect to its median plane. A method of solving such types of problems using complex potentials is elaborated. The basic correlations of the
method are obtained. The exact analytical solutions of two problems are presented: about the inhomogeneous radial stretching of the contour of a circular disk and about the inhomogeneous radial stretching of the bypass of a circular aperture in an infinite plate. |
| Keywords |
elasticity theory of inhomogeneous bodies, problems about the stress state in spatial formulation, functions of complex variable, solution method, circular disk, circular aperture in an infinite plate, exact analytical solutions |
| Received |
17 January 2017 |
| Link to Fulltext |
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