 | | 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: | | 12882 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8071
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| In English (Mech. Solids): | | 4811 |
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| G. Ya. Popov, "An exact solution of the mixed elasticity problem in a quarter-space," Mech. Solids. 38 (6), 23-30 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
6 |
Pages |
23-30 |
| Title |
An exact solution of the mixed elasticity problem in a quarter-space |
| Author(s) |
G. Ya. Popov (Odessa) |
| Abstract |
An exact solution is constructed for the elasticity problem in a quarter-space with stresses prescribed on one of its faces and displacements on the other. The method for the construction of the exact solution consists in transforming the Lamé equations to an equation which can be solved independently and a system of two equations which should be solved jointly; then, by an integral transformation, the problem is reduced to a one-dimensional boundary-value problem for a vector-valued function and the latter is solved by known methods. |
| References |
| 1. | Ya. S. Uflyand,
"Second basic problem of elasticity for a wedge,"
Trudy Leningr. Politekh. In-ta., No. 210, pp. 87-94, 1960. |
| 2. | Ya. S. Uflyand,
"Some spatial elasticity problems for a wedge,"
Continuum Mechanics and Related Problems of Analysis [in Russian], pp. 549-553,
Nauka, Moscow, 1972. |
| 3. | P. P. Teodorescu, Problem Statiale in Teoria Elasticitatii [in Romanian], Acad. Repub. Soc. Romania, Bucuresti, 1970. |
| 4. | W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow, 1975. |
| 5. | F. R. Gantmakher, Theory of Matrices [in Russian], Gostekhteorizdat, Moscow, 1954. |
| 6. | G. Ya. Popov, S. A. Abdymnapov, and V. V. Efremov,
Green's Functions and Matrices for One-dimensional Boundary-value Problems [in Russian], Izd-vo Rauan, Almaty, 1999. |
| 7. | I. Sneddon, Fourier Transforms [Russian translation],
Izd-vo Inostr. Lit-ry, Moscow, 1955. |
| 8. | H. Bateman and A. Erdélyi, Theory of Integral
Transforms.Volume 1 [Russian translation], Nauka, Moscow, 1969. |
| 9. | H. B. Dwight, Tables of Integrals and Other Mathematical Data [Russian translation], Nauka, Moscow, 1964. |
|
| Received |
24 December 2001 |
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