 | | 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: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.M. Mal’kov and Yu.V. Mal’kova, "Analysis of a stress singularity in a non-linear Flamant problem for certain models of a material," J. Appl. Math. Mech. 72 (4), 468-474 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
4 |
Pages |
468-474 |
| Title |
Analysis of a stress singularity in a non-linear Flamant problem for certain models of a material |
| Author(s) |
V.M. Mal’kov (St. Petersburg, Russia, vmmalkov@apmath.spbu.ru)
Yu.V. Mal’kova (St. Petersburg, Russia) |
| Abstract |
A generalized plane problem in the non-linear theory of elasticity is considered for a half-plane loaded on the boundary with a concentrated external force (the non-linear Flamant problem). The properties of the material of the half-plane are described by different (known) models, and each model of the non-linearly elastic material generates its own specific boundary-value problem. Analytical solutions of the problems are obtained for two models of an incompressible material: the neo-Hookean model and the Bartenev–Khazanovich model, and a model of a compressible semi-linear (harmonic) material. The dependence of the stress state as a whole on the adopted model of the material and the effect of the model of the material on the form of the stress singularity in the neighbourhood of a pole are investigated. |
| Received |
18 July 2006 |
| Link to Fulltext |
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