 | | 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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| A. V. Berezin and A. I. Kozinkina, "Behavior of elastoplastic materials with defects when subjected to deformation," Mech. Solids. 39 (6), 87-92 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
6 |
Pages |
87-92 |
| Title |
Behavior of elastoplastic materials with defects when subjected to deformation |
| Author(s) |
A. V. Berezin (Moscow)
A. I. Kozinkina (Moscow) |
| Abstract |
The plane model of a plastic body is used for studying changes in the elastic properties of elastoplastic bodies subjected to plastic deformation. These changes are due to the formation of defects in the slip systems. Expressions for the rigidity matrix of an elastoplastic
material with defects are obtained. The anisotropy of elastic properties due to directional formation of micro-defects in the slip systems is established. The experimental results obtained for steel samples by measuring the elastic modulus during unloading, with the use of destruction diagrams, are presented. These results show qualitative agreement between the theoretical and experimental data. |
| References |
| 1. | Yu. N. Rabotnov, "On the mechanism of long-term fracture," in Problems of Strength of Materials and Structures [in Russian], pp. 5-7, Izv-vo AN SSSR, Moscow, 1959. |
| 2. | Yu. N. Rabotnov, "On creep fracture", Zh. Prikl. Mekhiniki i Tekhn. Fiziki, No. 2, pp. 113-123, 1963. |
| 3. | Yu. N. Rabotnov, Creep in Structural Members [in Russian], Nauka, Moscow, 1966. |
| 4. | V. V. Novozhilov, "On plastic loosening," PMM [Applied Mathematics and Mechanics], Vol. 29, No. 4,
pp. 681-689, 1965. |
| 5. | A. V. Berezin, "Uniaxial deformation of a plastic body with the formation and growth of micro-cracks being taken into account," Izv. AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 69-75, 1977. |
| 6. | V. I. Astaf'ev, Yu. N. Radaev, and L. V. Stepanova, Nonlinear Fracture Mechanics [in Russian], Izd-vo Samarsk. Un-ta, Samara, 2001. |
| 7. | L. J. Broutman and R. H. Krock (Editors), Composite Materials. Fracture and Fatigue. Volume 5 [Russian translation], pp. 206-266, Mir, Moscow, 1970. |
| 8. | J. Lemaitre, A course on Damage Mechanics, Springer-Verlag, Berlin, New York, 1992. |
| 9. | A. V. Berezin, "Deformation of materials with defects," Izv. AN SSSR. MTT [Mechanics of Solids], No. 6, pp. 124-130, 1982. |
| 10. | S. B. Batdorf and B. Budnyanskii, "Mathematical theory of plasticity based on the slip concept," Mekhanika, No. 1, pp. 135-155, 1962. |
| 11. | V. D. Klyushnikov, "New concepts in plasticity and the theory of deformation," PMM [Applied Mathematics and Mechanics], Vol. 23, No. 4, pp. 722-731, 1959. |
| 12. | Zh. S. Erzhanov, K. K. Kaidarov, and V. P. Matveeva,
"Mathematical justification of a calculation model of a rock massif with an ordered system of cracks," Current Problems in Rock Mechanics [in Russian], Nauka, Leningrad, 1972. |
| 13. | A. V. Berezin and A. I. Kozinkina, "Physical models and evaluation methods for damage accumulation in solids," Probl. Mashinostr. i Nadezhn. Mashin, No. 3, pp. 115-121, 2002. |
| 14. | R. Talreja, Fatigue of Composite Materials, Techonomic Publ. Co., Lancaster, Basel, 1987. |
| 15. | Yu. N. Rabotnov, A. A. Tupolev, V. F. Kut'inov, V. P. Kogaev, A. V. Berezin, and V. V. Silimenkov, "Application of carboplastics in aircraft structures," Mekh. Kompozit. Mater., No. 4, pp. 657-667, 1981. |
| 16. | A. I. Kozinkina, "Transient effect in damage accumulation kinetics," Defektoskopiya, No. 9, pp. 95-99, 1999. |
| 17. | L. M. Rybakova, "Mechanical laws of metal fracture in the case of volume and surface plastic deformation," Probl. Mashinostr. i Nadezhn. Mashin, No. 5, pp. 113-123, 1998. |
|
| Received |
08 December 2003 |
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