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
(print version)

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IssuesArchive of Issues2015-5pp.500-505

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Total articles in the database: 10482
In Russian (ÏÌÌ): 9683
In English (J. Appl. Math. Mech.): 799

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S.M. Aizikovich, A.S. Vasil’ev, and S.S. Volkov, "The axisymmetric contact problem of the indentation of a conical punch into a half-space with a coating inhomogeneous in depth," J. Appl. Math. Mech. 79 (5), 500-505 (2015)
Year 2015 Volume 79 Issue 5 Pages 500-505
DOI 10.1016/j.jappmathmech.2016.03.011
Title The axisymmetric contact problem of the indentation of a conical punch into a half-space with a coating inhomogeneous in depth
Author(s) S.M. Aizikovich (Don State Technical University, Rostov-on-Don, Russia)
A.S. Vasil’ev (Don State Technical University, Rostov-on-Don, Russia)
S.S. Volkov (Don State Technical University, Rostov-on-Don, Russia, fenix_rsu@mail.ru)
Abstract A semi-analytical solution of the contact problem of the indentation of a conical punch into a half-space with a coating inhomogeneous in depth is obtained. Young's modulus and Poisson's ratio in the coating very arbitrarily with depth. The solution is asymptotically exact for large and small values of the geometrical parameter of the problem (the ratio of the coating thickness to the radius of the contact area). Numerical values of the contact stresses are constructed using the example of a linear variation of Young's modulus in the coating.
Received 20 June 2014
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