 | | 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 (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| G.A. Kosushkin, "The Signorini problem with Coulomb friction for a hyperelastic body under finite deformations," J. Appl. Math. Mech. 72 (5), 588-596 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
5 |
Pages |
588-596 |
| Title |
The Signorini problem with Coulomb friction for a hyperelastic body under finite deformations |
| Author(s) |
G.A. Kosushkin (Zhukovskii, Russia) |
| Abstract |
The quasi-static three-dimensional problem of elasticity theory for a hyperelastic body under finite deformations, loading by bulk and surface forces, partial fastening and unilateral contact with a rigid punch and in the presence of time-dependent anisotropic Coulomb friction is considered. The equivalent variational formulation contains a quasi-variational inequality. After time discretization and application of the iteration method, the problem arising with "specified" friction is reduced to a non-convex miniumum functional problem, which is studied by Ball's scheme. The operator in contact stress space is determined. It is shown that a threshold level of the coefficient of friction corresponds to each level of loading, below which there is at least one fixed point of the operator. If the solution at a certain instant of time is known, the iteration process converges to the solution of the problem at the next, fairly close instant of time. |
| Received |
09 August 2007 |
| Link to Fulltext |
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