 | | 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, V. K. Antonov, and V. Yu. Salamatova, "Interaction of a deformable plate with a stressed half-space," Mech. Solids. 42 (5), 737-743 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
5 |
Pages |
737-743 |
| Title |
Interaction of a deformable plate with a stressed half-space |
| Author(s) |
V. M. Alexandrov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, alexand@ipmnet.ru)
V. K. Antonov (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia)
V. Yu. Salamatova (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia) |
| Abstract |
We consider the plane and axisymmetric problems about the contact interaction between an elastic plate and an elastic half-space loaded at infinity by a uniform tensile force parallel to the half-space boundary. We assume that the plate resists extension and does not resist bending. We determine the contact tangential stresses under the plate, the plate point displacements, and the strain distortion coefficient on the half-space surface.
Similar problems were considered earlier by a different method in [1]. |
| References |
| 1. | V. M. Alexandrov and S. M. Mkhitaryan,
Contact Problems for Bodies with Thin Coatings and Interlayers
(Nauka, Moscow, 1983)
[in Russian]. |
| 2. | Ya. S. Ufland,
Integral Transforms in Problems of Elasticity
(Nauka, Leningrad, 1967)
[in Russian]. |
| 3. | V. M. Alexandrov and E. V. Kovalenko,
Problems in Continuum Mechanics with Mixed Boundary Conditions
(Nauka, Moscow, 1986)
[in Russian]. |
| 4. | L. A. Lusternik and V. I. Sobolev,
Elements of Functional Analysis
(Nauka, Moscow, 1965)
[in Russian]. |
| 5. | L. V. Kantorovich and V. I. Krylov,
Approximate Methods of Higher Analysis
(Gostekhizdat, Leningrad-Moscow, 1949)
[in Russian]. |
| 6. | V. M. Alexandrov, "Interaction of a Plane Inclined Circular Die
with Elastic Half-Space," Prikl. Mat. Mekh.
60 (1), 132-139 (1996)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 7. | I. S. Gradshtein and I. M. Ryzhik,
Tables of Integrals, Sums, Series, and Products
(Fizmatlit, Moscow, 1963)
[in Russian]. |
|
| Received |
26 October 2006 |
| Link to Fulltext |
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