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Russian Academy of Sciences
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IssuesArchive of Issues2008-5pp.588-596

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
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 9 August 2007
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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