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A Journal of Russian Academy of Sciences
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in January 1966
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V. V. Klindukhov, "Indentation of an axially symmetric punch into a layer inhomogeneous with respect to depth," Mech. Solids. 41 (1), 1-4 (2006)
Year 2006 Volume 41 Number 1 Pages 1-4
Title Indentation of an axially symmetric punch into a layer inhomogeneous with respect to depth
Author(s) V. V. Klindukhov (Moscow)
Abstract An axially symmetric contact problem is considered for an elastic layer that lies on a rigid base and the elastic moduli of which vary exponentially with respect to the depth. This problem is reduced to an integral equation of the first kind for the contact pressure under the punch. The solution of this integral equation is sought in the form of a series in terms of Legendre polynomials [1]. Some numerical results are given.
References
1.  V. M. Alexandrov and V. V. Klindukhov, "New vesrion of the method of orthogonal polynomials for axially symmetric contact problems," Vestnik MGU [Bulletin of the Moscow State University], Ser. 1. Matematika. Mekhanika, No. 4, pp. 66-68, 1998.
2.  G. Ya. Popov, "To the theory of bending of plates on an elastic inhomogeneous half-space," Izv. Vuzov. Stroitel'stvo i Arkhitektura, No. 11-12, pp. 11-19, 1959.
3.  V. M. Alexandrov and D. A. Pozharskii, Nonclassical Spatial Problems of Mechanics of Interaction of Elastic Bodies [in Russian], Faktorial, Moscow, 1998.
4.  L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Gostekhizdat, Moscow, Leningrad, 1950.
Received 03 November 2004
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