 | | 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 |
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| R. S. Novokshanov and A. A. Rogovoi, "On the construction of evolutionary constitutive relations for finite deformations," Mech. Solids. 37 (4), 63-78 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
4 |
Pages |
63-78 |
| Title |
On the construction of evolutionary constitutive relations for finite deformations |
| Author(s) |
R. S. Novokshanov (Perm)
A. A. Rogovoi (Perm) |
| Abstract |
On the basis of kinematic relations for the superposition of
small elastic and plastic strains on finite elastic-plastic strains,
evolutionary constitutive relations of elastoplasticity are obtained for
arbitrary elastic and associated plastic laws with corotational
derivatives compatible with these laws. Thermodynamic consistency of these
constitutive relations is established. |
| References |
| 1. | A. A. Pozdeev, P. V. Trusov, and Yu. I. Nyashin,
Large Elastic-Plastic Deformations [in Russian], Nauka, Moscow, 1986. |
| 2. | G. L. Brovko, " Some approaches to the construction of
constitutive relations in plasticity for large deformations," Elasticity
and Inelasticity [in Russian], pp. 68-81, Izd-vo MGU, Moscow, 1987. |
| 3. | C. Truesdell, A First Course in Rational Continuum Mechanics [Russian translation],
Mir, Moscow, 1975. |
| 4. | A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow, 1980. |
| 5. | V. I. Levitas,
Large Elastic-Plastic Deformations in Materials under High Pressure [in Russian],
Naukova Dumka, Kiev, 1987. |
| 6. | V. A. Palmov, "Large strains in viscoelastoplasticity,"
Acta Mech., Vol. 125, pp. 129-139, 1997. |
| 7. | L. I. Sedov, Introduction to Continuum Mechanics [in Russian],
GIFML, Moscow, 1962. |
| 8. | L. I. Sedov, Continuum Mechanics. Volume 2. [in Russian], Nauka,
Moscow, 1973. |
| 9. | E. H. Lee, "Elastic-plastic deformation at finite strains,"
Trans ASME. J. Appl. Mech., Vol. 36, No. 1, pp. 1-6, 1969. |
| 10. | A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970. |
| 11. | L. V. Nikitin,
"On anisotropy of an elastic medium with initial stresses,"
Izv. AN SSSR. Fizika Zemli, No. 12, pp. 29-33, 1983. |
| 12. | G. Astarita and G. Morucci,
Principles of Non-Newtonian Fluid Mechanics [Russian translation],
Mir, Moscow, 1978. |
| 13. | L. Szabo and M. Balla,
"Comparison of some stress rates," Intern. J. Solids Struct.,
Vol. 25, No. 3, pp. 279-297, 1989. |
| 14. | V. I. Kondaurov, "Equations of relaxation type for viscoelastic
media with large strains," PMM [Applied Mathematics and Mechanics],
Vol. 49, No. 5, pp. 791-800, 1985. |
| 15. | L. V. Nikitin, "Trends in modelling elastoviscoplastic bodies,"
Mechanics and Advances in Science and Technology. Volume 3.
Mechanics of Deformable Solids [in Russian], pp. 136-153, Nauka, Moscow, 1988. |
| 16. | V. I. Kondaurov and L. V. Nikitin,
"Finite deformations of viscoelastic muscle tissues,"
PMM [Applied Mathematics and Mechanics], Vol. 51, No. 3, pp. 443-452, 1987. |
| 17. | A. A. Rogovoy,
"Large elastic-plastic deformations in the technological progress of rotary
forming of cylindrical workpieces," Matallurgy and Foundry Engineering,
Vol. 20, No. 3, pp. 343-350, 1994. |
| 18. | A. A. Rogovoy,
"The finite elasto-plastic deformations in the technological process of
rotary forming of cylindrical workplaces," Proc. Intern. Conf. Mech.
Solids and Mater. Eng. V. B. 1995. Mechanics of Structures, pp. 556-561,
Nanyang Technol. Univ., Singapore, 1995. |
| 19. | K.-J. Bathe and H. Ozdemir,
"Elastic-plastic large deformation static and dynamic analysis,"
Compt. Struct., Vol. 6, No. 2, pp. 81-92, 1976. |
| 20. | V. A. Lubarda and E. H. Lee,
"A correct definition of elastic and plastic deformation and its
computational significance," Trans. ASME. J. Appl. Mech., Vol. 48, No. 1,
pp. 35-40, 1981. |
| 21. | R. M. McMeeking and J. R. Rice,
"Finite element formulations for problems of large elastic-plastic
deformation," Intern. J. Solids Struct., Vol. 11, No. 5, pp. 601-616,
1975. |
| 22. | V. I. Kondaurov and V. N. Kukudjanov,
"On constitutive equations and numerical solution of the
multidimensional problems of the dynamics of nonisothermic elastic-plastic
media with finite deformations," Arch. Mech., Vol. 31, No. 5,
pp. 623-647, 1979. |
| 23. | V. N. Kukudzhanov, "Numerical modelling of dynamic processes
of deformation and fracture of elastic-plastic media,"
Uspekhi Mekhaniki [Advances in Mechanics], Vol. 8, No. 4, pp. 21-65, 1985. |
|
| Received |
26 March 1999 |
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