 | | 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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| S. A. Berestova and E. A. Mityushov, "Physical equations of the theory of plastic flow of anisotropic materials," Mech. Solids. 39 (5), 76-83 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
5 |
Pages |
76-83 |
| Title |
Physical equations of the theory of plastic flow of anisotropic materials |
| Author(s) |
S. A. Berestova (Ekaterinburg)
E. A. Mityushov (Ekaterinburg) |
| Abstract |
A method for constructing the physical equations of the theory of plastic flow of macroscopically orthotropic volume-isotropic polycrystalline solids is proposed. The method is based on the yield energy criterion. This criterion involves the structural parameters of deformation anisotropy in an explicit form and generalizes the Maxwell-Huber-Mises-Henky condition. |
| References |
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| 2. | M. T. Huber, Die spezifische Formänderungsarbeit als Mass der Anstrengung eines Materials, Lemberg, 1904. |
| 3. | H. Henky, "To the theory of plastic deformations and residual stresses induced in the material by these deformations,"
in Theory of Plasticity [Russian translation], pp. 114-135, Izd-vo Inostr. Lit-ry,
Moscow, 1948. |
| 4. | H. Henky, "On slow steady flows in plastic bodies, with applications to rolling, punching, and drawing,"
in Theory of Plasticity [Russian translation], pp. 136-156, Izd-vo Inostr. Lit-ry,
Moscow, 1948. |
| 5. | R. Mises, "Mechanik der plastischen Formänderung von Kristallen,"
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| 6. | R. Hill, Theory of Plasticity [Russian translation],
Gostekhizdat, Moscow, 1956. |
| 7. | D. D. Ivlev, Theory of Perfect Plasticity
[in Russian], Nauka, Moscow, 1966. |
| 8. | M. S. Sarkisyan, "On the extremal principles for an anisotropic plastic body," in Investigations in Elasticity and Plasticity [in Russian], No. 3, pp. 232-236,
Izd-vo LGU, Leningrad, 1964. |
| 9. | B. E. Pobedrya, "On the theory of plasticity of transversely-isotropic materials,"
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| 10. | W. Olszak and W. Urbanowski, "The plastic potential and the generalized distortion energy in the theory of non-homogeneous anisotropic elastic-plastic bodies,"
Arch. Mech. Stos., Vol. 8, No. 4, pp. 671-694, 1956. |
| 11. | S. A. Berestova and E. A. Mityushov, "On one exact solution
of the problem of determining effective elastic moduli of
micro-nonhomogeneous media,"
PMM [Applied Mathematics and Mechanics], Vol. 63, No. 3, pp. 524-527, 1999. |
| 12. | J. Rychlewski, "On Hooke's law,"
PMM [Applied Mathematics and Mechanics], Vol. 48, No. 3, pp. 420-435, 1984. |
| 13. | W. Voigt, Lehrbuch der Kristallphysik, Teubner, Leipzig etc., 1928. |
| 14. | A. Reuss, "Berechnund der Fleissgrenze von Misch-kristallen fut grund der Plastizitatsbedingung fur Einkristalle,"
ZAMM, Bd. 9, H. 1, S. 49-58, 1929. |
| 15. | K. S. Aleksandrov, "Mean values of tensor quantities,"
Doklady AN SSSR, Vol. 164, No. 4, pp. 800-803, 1965. |
| 16. | W. T. Lankford, S. C. Shyder, and J. A. Bauscher,
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Trans. Amer. Soc. Metals, Vol. 42, pp. 1197-1232, 1950. |
| 17. | C. M. Vlad, "Verfahren zur Ermittlung der Texturanisotropie in Kohlenstoffarmen Feinblechen mittels inverser Polfiguren,"
Materialprüf, Vol. 19, No. 3, pp. 99-103, 1977. |
|
| Received |
25 April 2002 |
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