 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| L. A. Maksimova, "On the relations for isotropic perfectly plastic solids," Mech. Solids. 40 (5), 107-114 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
107-114 |
| Title |
On the relations for isotropic perfectly plastic solids |
| Author(s) |
L. A. Maksimova (Cheboksary) |
| Abstract |
Relations of the theory of isotropic perfectly plastic solids are
considered. The plasticity condition is stated in terms of stress tensor
invariants [1-3]. The isotropy conditions introduced in the theory of
isotropic perfectly plastic solids by Ishlinskii [4] are used. The cases of
smooth and piecewise smooth yield conditions are considered. |
| References |
| 1. | S. A. Khristianovich and E. I. Shemyakin, "A contribution to the
theory of ideal plasticity," Inzh. Zh. MTT [Mechanics of Solids], No. 4,
pp. 86-97, 1967. |
| 2. | S. A. Khristianovich and E. I. Shemyakin, "On the plane
deformation of a plastic material under combined stress," Izv. AN
SSSR. MTT [Mechanics of Solids], No. 5, pp. 138-149, 1969. |
| 3. | E. I. Shemyakin, "Anisotopy of the plastic state," in Numerical
Methods in Continuum Mechanics [in Russian], Vol. 4, No. 4, pp. 150-162, Izd-vo SO AN SSSR,
Novosibirsk, 1973. |
| 4. | A. Yu. Ishlinskii, "Spatial deformation of noncompletely
elastic and viscoplastic solids," Izv. AN SSSR. OTN, No. 3,
pp. 250-260, 1945. |
| 5. | A. Saint-Venant, "Establishing the equations of interior motions
arising in plastic solids beyond the elastic limit," in
Theory of Plasticity [Russian translation], pp. 11-19, Inostr. Lit-ra, Moscow, 1948. |
| 6. | M. Lévy, "To the problem on the general equations of interior
motions arising in plastic solids beyond the elastic limit," in
Theory of Plasticity [Russian translation], pp. 20-23, Inostr. Lit-ra, Moscow, 1948. |
| 7. | D. D. Ivlev, Theory of Perfect Plasticity [in Russian], Nauka,
Moscow, 1966. |
|
| Received |
13 April 2004 |
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