 | | 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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| S. V. Bosakov, "Ritz Method in a contact problem for a rectangular slab of finite rigidity," Mech. Solids. 39 (5), 42-47 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
42-47 |
| Title |
Ritz Method in a contact problem for a rectangular slab of finite rigidity |
| Author(s) |
S. V. Bosakov (Minsk) |
| Abstract |
Slab foundations are mostly formed by a rectangular slab. However, no exact solutions have been found so far for the problem of a rectangular rigid slab based on a homogeneous elastic half-space [1]. There is no exact solution even for a flexible rectangular slab on the Winkler foundation [2]. The main difficulty associated with an attempt to solve this contact problem is the impossibility of satisfying the static boundary conditions on the free edges of the slab. In this paper, it is shown that this obstacle can be overcome with the help of the Ritz method. |
| References |
| 1. | M. I. Gorbunov-Posadov, T. A. Malikova, and V. I. Solomin, Design of Structures on an Elastic Foundation [in Russian] V. M. , Stroiizdat, Moscow, 1984. |
| 2. | E. A. Palatnikov Rectangular Slab on an Elastic Foundation [in Russian],
Stroiizdat, Moscow, 1964. |
| 3. | S. Pashkovsky, Numerical Applications of Chebyshev Polynomials and Series [Russian translation], Nauka, Moscow, 1983. |
| 4. | A. P. S. Salvadurai, "The interaction between a uniformly loaded circular slab and an isotropic elastic half-space: a variational approach," J. Struct. Mech, Vol. 7, No. 3, pp. 231-246, 1979. |
| 5. | L. A. Galin (Editor), Advances in the Theory of Contact Problems in the USSR [in Russian], Nauka, Moscow, 1976. |
| 6. | B. M. Seimov, Dynamic Contact Problems [in Russian], Naukova Dumka, Kiev, 1976. |
| 7. | H. Bateman and A. Erdélyi, Higher Transcendental Functions.
Volume 2 [Russian translation], Nauka, Moscow, 1974. |
| 8. | I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko,
Nonclassical Mixed Problems in Elasticity [in Russian], Nauka, Moscow, 1974. |
| 9. | V. M. Fainburd,
Contact Problems in Elasticity [in Russian], Nauka, Moscow, 1975. |
|
| Received |
14 May 2002 |
| << Previous article | Volume 39, Issue 5 / 2004 | Next article >> |
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