 | | 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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| I. P. Dobrovolskii, "Problem on an inhomogeneity in a linearly elastic space or half-space," Mech. Solids. 42 (1), 50-56 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
1 |
Pages |
50-56 |
| Title |
Problem on an inhomogeneity in a linearly elastic space or half-space |
| Author(s) |
I. P. Dobrovolskii (Shmidt Institute of Physics of the Earth, Russian Academy of Sciences, B. Gruzinskaya 10, Moscow, 123995, Russia) |
| Abstract |
For a weakly contrasting anisotropic inhomogeneity in a linearly elastic homogeneous space or half-space, using the perturbation method, we obtain an approximate solution and estimate its accuracy. In the case of inhomogeneity of arbitrary contrast, we reduce the problem to a system of integral equations. In the general case, it is easy to compose the procedure for solving this problem approximately. In the special case of a homogeneous anisotropic ellipsoidal inhomogeneity in space, the strain state inside the inhomogeneity turns out to be homogeneous, and we thus obtain the exact solution of the problem. |
| References |
| 1. | A. I. Lurie, 3D Problems of Elasticity
(GITTL, Moscow, 1955)
[in Russian]. |
| 2. | A. I. Lurie, The Theory of Elasticity
(Nauka, Moscow, 1970)
[in Russian]. |
| 3. | V. Novatskii,
The Theory of Elasticity
(Mir, Moscow, 1975)
[in Russian]. |
| 4. | J. D. Eshelby,
Continual Theory of Dislocations
(Inostr. Lit-ra, Moscow, 1963)
[in Russian]. |
| 5. | V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili, and T. V. Burchuladze,
Three-Dimensional Problems of Mathematical Theory of Elasticity
and Thermal Elasticity
(Nauka, Moscow, 1976)
[in Russian]. |
| 6. | L. N. Sretenskii,
Theory of Newtonian Potential
(OGIZ-GOSTEKhIZDAT, Moscow-Leningral, 1946)
[in Russian]. |
| 7. | L. D. Landau and E. M. Lifshits,
Theoretical Physics. Vol. 2: Field Theory
(Nauka, Moscow, 1967)
[in Russian]. |
| 8. | V. A. Lomakin, Theory of Elasticity of Inhomogeneous Bodies
(Izd-vo MGU, Moscow, 1976) [in Russian]. |
| 9. | T. Mura,
Micromechanics of Defects in Solids
(Martinus Nijhoff, 1982). |
|
| Received |
28 September 2004 |
| Link to Fulltext |
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