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 Issues2008-4pp.461-467

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S.M. Aizikovich, L.I. Krenev, and I.S. Trubchik, "The deformation of a half-space with a gradient elastic coating under arbitrary axisymmetric loading," J. Appl. Math. Mech. 72 (4), 461-467 (2008)
Year 2008 Volume 72 Issue 4 Pages 461-467
Title The deformation of a half-space with a gradient elastic coating under arbitrary axisymmetric loading
Author(s) S.M. Aizikovich (Rostov-on-Don, Russia)
L.I. Krenev (Rostov-on-Don, Russia)
I.S. Trubchik (Rostov-on-Don, Russia, trubchik@math.rsu.ru)
Abstract An analytical-numerical method of solving the Neumann boundary-value problem for an elastic half-space with a gradient elastic coating is proposed. The problem is formulated and the construction of the fundamental solution (Green’s function) is described. The method enables a solution of the problem to be obtained for a fairly wide class of types of non-uniformity of the medium, and effects related to the non-uniformity are investigated analytically. A procedure for calculating the displacement, stress and strain fields is described. Particular attention is devoted to analysing the mechanical characteristics in the transition region from the coating to the elastic substrate.
Received 22 May 2007
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