Journal of Applied Mathematics and Mechanics (about journal) 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
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IssuesArchive of Issues2012-5pp.511-518

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Total articles in the database: 10512
In Russian (ΟΜΜ): 9713
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Ye.M. Suvorov, D.V. Tarlakovskii, and G.V. Fedotenkov, "The plane problem of the impact of a rigid body on a half-space modelled by a Cosserat medium," J. Appl. Math. Mech. 76 (5), 511-518 (2012)
Year 2012 Volume 76 Issue 5 Pages 511-518
Title The plane problem of the impact of a rigid body on a half-space modelled by a Cosserat medium
Author(s) Ye.M. Suvorov (Moscow, Russia)
D.V. Tarlakovskii (Moscow, Russia, tdhome@mail.ru)
G.V. Fedotenkov (Moscow, Russia)
Abstract The formulation and method of solving of a plane time-varying contact problem with moving boundaries is developed for an absolutely rigid impactor and a half-space filled with a Cosserat medium. A new function, the surface influence function for a Cosserat medium, is constructed and investigated. An original algorithm for constructing it, based on the small-parameter method in conjunction with a simultaneous Fourier-Laplace integral transformation, is developed and implemented. The quantitative and qualitative differences between the influence function constructed and the well-known solution of the plane Lamb problem for an elastic half-space are indicated.
Received 02 February 2012
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