 | | 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 A. A. Kalyakin, "Plane and axisymmetric contact problems for a three-layer elastic half-space," Mech. Solids. 40 (5), 20-26 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
20-26 |
| Title |
Plane and axisymmetric contact problems for a three-layer elastic half-space |
| Author(s) |
V. M. Alexandrov (Moscow)
A. A. Kalyakin (Moscow) |
| Abstract |
We consider the plane and axisymmetric contact problems for a three-layer
elastic half-space. The plane problem is reduced to a singular integral
equation of the first kind, whose approximate solution is obtained by a
modified Multhopp-Kalandiya collocation method. The axisymmetric problem
is reduced to a Fredholm integral equation of the second kind, whose
approximate solution is obtained by a specially designed collocation method
at the Legendre nodes. For these problems, examples of computation of
typical integral characteristics are given. |
| References |
| 1. | V. M. Alexandrov and B. L. Romalis, Contact Problems in Engineering [in Russian],
Mashinostroenie, Moscow, 1986. |
| 2. | A. I. Kalandiya, Mathematical Methods of Two-Dimensional Elasticity
[in Russian], Nauka, Moscow, 1973. |
| 3. | V. M. Alexandrov and E. V. Kovalenko, Problem of Continuum
Mechanics with Mixed Boundary Conditions [in Russian], Nauka, Moscow, 1986. |
| 4. | I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in
Russian], Fizmatgiz, Moscow, 1963. |
| 5. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko, Nonclassical
Mixed Problems of Elasticity [in Russian], Nauka, Moscow, 1974. |
| 6. | V. M. Alexandrov, "Asymptotic methods in problems of continuum mechanics with mixed
boundary conditions," PMM [Applied Mathematics and Mechanics], Vol. 57, No. 2, pp. 102-108, 1993. |
| 7. | Ya. S. Uflyand, Integral Transforms in Elasticity Problems [in
Russian], Nauka, Leningrad, 1967. |
| 8. | V. M. Alexandrov and V. V. Klindukhov, "Contact problems for a two-layer elastic
foundation with a nonideal mechanical constraint between the layers," Izv. AN. MTT [Mechanics of
Solids], No. 3, pp. 84-92, 2000. |
| 9. | V. M. Alexandrov and V. V. Klindukhov, "A modified Multhopp-Kalandiya method in
axisymmetric contact problems," in Modern problems of Continuum Mechanics, Vol. 2, pp. 13-16,
Rostov-on-Don, SKNTsVSh, 2001. |
|
| Received |
13 July 2004 |
| << Previous article | Volume 40, Issue 5 / 2005 | Next article >> |
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