 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| I.A. Soldatenkov, "Deformation relations for an elastic half-plane with a weakly distorted boundary," J. Appl. Math. Mech. 79 (1), 44-53 (2015) |
| Year |
2015 |
Volume |
79 |
Issue |
1 |
Pages |
44-53 |
| DOI |
10.1016/j.jappmathmech.2015.04.017 |
| Title |
Deformation relations for an elastic half-plane with a weakly distorted boundary |
| Author(s) |
I.A. Soldatenkov (Moscow, Russia, iasoldat@hotmail.com) |
| Abstract |
Relations between the boundary stresses and displacements are derived for an elastic half-plane with a weakly distorted boundary. To do this, the stress-strain state of the half-plane is expressed by means of two harmonic functions using the general Papkovich-Neuber solution and the distorted half-plane is conformally mapped onto a canonical (flat) half-plane. As a result, a system of boundary value problems for the harmonic functions is obtained from which the required deformation relations follow using a Fourier transform. The effect of the distortion of the boundary on its deformation is analysed. |
| Received |
12 July 2014 |
| Link to Fulltext |
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