 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 41, Issue 1 / 2006 | Next article >> |
| 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 |
| << Previous article | Volume 41, Issue 1 / 2006 | Next article >> |
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