 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V. M. Alexandrov and V. V. Klindukhov, "An axisymmetric contact problem for half-space inhomogeneous in depth," Mech. Solids. 40 (2), 46-50 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
2 |
Pages |
46-50 |
| Title |
An axisymmetric contact problem for half-space inhomogeneous in depth |
| Author(s) |
V. M. Alexandrov (Moscow)
V. V. Klindukhov (Moscow) |
| Abstract |
An axisymmetric contact problem is considered for a half-space with the
elastic moduli growing exponentially with the depth. Beforehand, an
axisymmetric problem of the equilibrium of this half-space under the
action of a distributed normal load is solved. Based on this solution, the
contact problem is reduced to the integral equation for the contact
pressure. For numerically solving this equation, a modified version of the
method of orthogonal polynomials [1] is used. Numerical results are
presented. |
| References |
| 1. | V. M. Alexandrov and V. V. Klindukhov, "Contact problems for a
two-layer elastic base with non-perfect mechanical contact between the
layers," Izv. AN. MTT [Mechanics of Solids], No. 3, pp. 84-92, 2000. |
| 2. | G. Ya. Popov, "On the theory of bending of plates on an
inhomogeneous half-space," Izv. Vuzov. Stroitel'stvo i Arkhitektura,
No. 11-12, pp. 11-19, 1959. |
| 3. | Ya. S. Uflyand, Integral Transform in the Problems of Elasticity
[in Russian], Nauka, Moscow, 1967. |
| 4. | V. M. Alexandrov and D. A. Pozharskii, Nonclassical Spatial
Problems in Mechanics of Contact Interactions of Elastic Bodies [in
Russian], Factorial, Moscow, 1998. |
| 5. | L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher
Analysis [in Russian], Gostekhizdat, Moscow, Leningrad, 1949. |
|
| Received |
03 October 2004 |
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
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