 | | 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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| D. D. Ivlev and L. A. Maksimova, "To the theory of statically determinate states of solids," Mech. Solids. 41 (4), 101-105 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
4 |
Pages |
101-105 |
| Title |
To the theory of statically determinate states of solids |
| Author(s) |
D. D. Ivlev (Cheboksary)
L. A. Maksimova (Moscow) |
| Abstract |
For an isotropic solid, we consider a limit statically
determinate state different from the full plasticity condition. We assume
that the principal stresses are fixed. The three variables determining the
orientation of the principal stresses in the Cartesian frame are the
unknowns. We show that the system of equations for the stresses and the
displacement velocities is of hyperbolic type and that the directions of
principal stresses and displacement velocities are characteristic
directions. |
| References |
| 1. | D. D. Ivlev, Theory of Ideal Plasticity [in Russian], Nauka,
Moscow, 1966. |
| 2. | A. Yu. Ishlinskii and D. D. Ivlev, Mathematical Theory of
Plasticity [in Russian], Fizmatlit, Moscow, 2001. |
| 3. | L. A. Maksimova,
"On linearized equations of spatial flows of ideally plastic bodies,"
Doklady RAN, Vol. 385, No. 6, pp. 772-773, 1998. |
|
| Received |
20 December 2004 |
| << Previous article | Volume 41, Issue 4 / 2006 | Next article >> |
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