 | | 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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| N. V. Minaeva, "On a nearly homogeneous stress-strain state of a plate," Mech. Solids. 41 (5), 52-56 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
5 |
Pages |
52-56 |
| Title |
On a nearly homogeneous stress-strain state of a plate |
| Author(s) |
N. V. Minaeva (Voronezh) |
| Abstract |
An analytic method for approximately solving problems describing the
stress-strain state of solids was developed in [1-4]. It is well known
that if in the space of parameters characterizing the external action one
wishes to find the boundaries of the domain where the solution of the
corresponding problem continuously depends on the characteristics of
geometric imperfections of the body, then one should construct an auxiliary
linearized problem, where the boundary conditions must be posed on the
boundary of the body in the deformed state. In the present paper, for the
case of plane strain, we linearize the boundary conditions given in
integral form on the boundary of the body in the deformed state. By way of
example, we consider the problem on compression of an elastically supported
strip. |
| References |
| 1. | A. Yu. Ishlinskii, "Study of equilibrium stability problems for
elastic bodies from the viewpoint of mathematical theory of elasticity,"
Ukrain. Mat. Zh., Vol. 6, No. 2, pp. 140-146, 1954. |
| 2. | A. Yu. Ishlinskii and D. D. Ivlev,
Mathematical Theory of Plasticity [in Russian],
Fizmatlit, Moscow, 2001. |
| 3. | A. N. Guz' and Yu. N. Nemish, "Boundary shape perturbation method
in continuum mechanics (a survey)," Prikl. Mekhanika, Vol. 23, No. 9,
pp. 3-29, 1978. |
| 4. | A. N. Guz' and Yu. N. Nemish,
Boundary Shape Perturbation Method in Continuum Mechanics [in Russian],
Vyshcha Shkola, Kiev, 1989. |
| 5. | A. N. Kolmogorov and S. V. Fomin,
Elements of Theory of Functions and Functional Analysis [in Russian],
Nauka, Moscow, 1976. |
| 6. | N. V. Minaeva, Perturbation Methods in Mechanics of Solids [in Russian], Nauch.
Kniga, Moscow, 2002. |
| 7. | D. D. Ivlev,
Mechanics of Plastic Media. Volume 2 [in Russian],
Fizmatlit, Moscow, 2002. |
|
| Received |
22 December 2004 |
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