 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| I. Yu. Tsvelodub, "Inverse problems of inelastic deformation of inhomogeneous media," Mech. Solids. 40 (2), 51-57 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
2 |
Pages |
51-57 |
| Title |
Inverse problems of inelastic deformation of inhomogeneous media |
| Author(s) |
I. Yu. Tsvelodub (Novosibirsk) |
| Abstract |
A spatial elastic domain containing an inelastic inclusion is considered.
Inverse problems of determining external loads ensuring the prescribed
current or residual (after the elastic unloading) inclusion shape are
formulated and studied. These problems are a generalization of those
considered previously by the author for inelastic homogeneous bodies [1]
and for plane elastic domains containing inclusions with nonlinear
physical properties [2]. Issues of the well-posedness and those of the
construction of approximate solutions are studied. The case of an
inclusion with the boundary displacements which are nonlinear functions of
the coordinates of boundary points is considered. For this case, a
closed-form solution is obtained. A number of examples is presented. |
| References |
| 1. | I. Yu. Tsvelodub, "Inverse problems of inelastic deformation,"
Izv. RAN. MTT [Mechanics of Solids], No. 2, pp. 81-92, 1995. |
| 2. | I. Yu. Tsvelodub, "On an inverse problem for an elastic medium
containing an inclusion with nonlinear physical properties," PMM [Applied Mathematics and Mechanics],
Vol. 64, No. 3, pp. 424-430, 2000. |
| 3. | I. Yu. Tsvelodub, "Inverse elastoplastic problem," Izv. RAN. MTT
[Mechanics of Solids], No. 1, pp. 35-43, 1998. |
| 4. | A. A. Shvab, "Ill-posed static problems of elasticity," Izv. AN
SSSR. MTT [Mechanics of Solids], No. 6, pp. 98-106, 1989. |
| 5. | A. A. Vakulenko and I. B. Sevost'yanov, "An inclusion with
nonlinear properties in elastic medium," in Investigations in Mechanics
of Building Structures [in Russian], LISI, Moscow, 1991, pp. 8-16. |
| 6. | J. Eshelby, The Continuum Theory of Dislocations [Russian
translation], Izd-vo Inostr. Lit-ry, Moscow, 1963. |
| 7. | I. Yu. Tsvelodub, "A physically nonlinear inclusion in a linearly
elastic medium (plane problem)," Izv. RAN. MTT [Mechanics of Solids],
No. 5, pp. 72-84, 2000. |
| 8. | I. Yu. Tsvelodub, "Some inverse problems for a viscoelastic solid
containing an inclusion with nonlinear physical properties," PMM [Applied Mathematics and Mechanics],
Vol. 65, No. 6, pp. 983-994, 2001. |
| 9. | Yu. N. Rabotnov, Creep of Structural Members [in Russian], Nauka,
Moscow, 1966. |
|
| Received |
21 February 2005 |
| << Previous article | Volume 40, Issue 2 / 2005 | Next article >> |
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