 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Tsurkis I.Ya. and Kuzmin Yu.O., "Stress State of an Elastic Plane With One or More Inclusions of Arbitrary Shape: the Case of Identical Shear Moduli," Mech. Solids. 57 (1), 34-48 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
1 |
Pages |
34-48 |
| DOI |
10.3103/S0025654422010046 |
| Title |
Stress State of an Elastic Plane With One or More Inclusions of Arbitrary Shape: the Case of Identical Shear Moduli |
| Author(s) |
Tsurkis I.Ya. (Sñhmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Moscow, 123242 Russia, tsurkis@ifz.ru)
Kuzmin Yu.O. (Sñhmidt Institute of Physics of the Earth of the Russian Academy of Sciences, Moscow, 123242 Russia, kuzmin@ifz.ru) |
| Abstract |
A two-dimensional problem of the theory of elasticity is considered for a plane with several inclusions of arbitrary shape, the shear moduli of which coincide with the shear moduli of the plane. There are no restrictions on compression modules. A uniform stress state is set at an infinitely distant point of the plane. The method of complex potentials of Kolosov - Muskhelishvili is used. A general solution in quadratures and explicit formulas for several special cases are obtained. The stress field is investigated near the singular points of the boundaries of the inclusions (these boundaries are assumed to be piecewise smooth, consisting of a finite number of Lyapunov arcs). |
| Keywords |
shear modulus, boundary value problem of elasticity theory, Cauchy-type integral, Liouville's theorem, Plemelj's theorem |
| Received |
07 April 2021 | Revised |
26 April 2021 | Accepted |
13 May 2021 |
| Link to Fulltext |
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