 | | 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
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| In English (Mech. Solids): | | 4760 |
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| V.M. Alexandrov, "Contact Problems on Soft and Rigid Coatings of an Elastic Half-Plane," Mech. Solids. 45 (1), 34-40 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
1 |
Pages |
34-40 |
| DOI |
10.3103/S0025654410010061 |
| Title |
Contact Problems on Soft and Rigid Coatings of an Elastic Half-Plane |
| Author(s) |
V.M. Alexandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, alexand@ipmnet.ru) |
| Abstract |
The solutions of contact problems on a soft or rigid coating of an elastic half-plane are of great practical interest. Accordingly, the present paper is divided into two parts: in the first part, we consider the problem of interaction between a rigid biquadratic die and an elastic half-plane through a thin soft coating; in the second part, we consider the problem of interaction between a rigid plane die and an elastic half-plane through a thin rigid coating. We derive integral equations for the problems under study and construct their approximate solutions by a regular asymptotic method.
Earlier, the question of studying such problems was posed, for example, in [1-3]. Here we use these results to a large extent. |
| Keywords |
contact problem, soft and rigid coatings, half-plane |
| References |
| 1. | G. P. Aleksandrova,
"Contact Problems of Plate Bending on an Elastic Basement,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 1, 97-116 (1973)
[Mech. Solids (Engl. Transl.)]. |
| 2. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
(Nauka, Moscow, 1983)
[in Russian]. |
| 3. | V. M. Alexandrov and M. I. Chebakov,
Introduction to Mechanics of Contact Interactions
(Izd-vo OOO "TsVVP", Rostov-on-Don, 2007)
[in Russian]. |
| 4. | A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev,
Integrals and Series: Elementary Functions
(Nauka, Moscow, 1981)
[in Russian]. |
| 5. | I. S. Gradshtein and I. M. Ryzhik,
Tables of Integrals, Sums, Series, and Products
(Fizmatgiz, Moscow, 1962)
[in Russian]. |
| 6. | V. M. Alexandrov and E. V. Kovalenko,
Problems with Mixed Boundary Conditions in Continuum Mechanics
(Nauka, Moscow, 1986)
[in Russian]. |
|
| Received |
06 May 2008 |
| Link to Fulltext |
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