 | | 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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| B. E. Pobedrya, "Combined loading of layered composites," Mech. Solids. 36 (1), 16-23 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
1 |
Pages |
16-23 |
| Title |
Combined loading of layered composites |
| Author(s) |
B. E. Pobedrya (Moscow) |
| Abstract |
The general theory of plasticity developed by A. A. Il'yushin is applied to
composite materials. A generalization of the method of computer aided
combined loading is proposed for inhomogeneous media with
constitutive relations involving material functions which are discontinuous
with respect to the coordinates. For layered composites it is shown that
the dimension of the strain and the loading trajectories
cannot exceed two, and therefore, the proposed theory is adequate. |
| References |
| 1. | A. A. Il'yushin, Plasticity: Basic Principles of the General
Mathematical Theory [in Russian], Izd-vo AN SSSR, Moscow, 1963. |
| 2. | A. A. Il'yushin, Continuum Mechanics [in Russian], Izd-vo
MGU, Moscow, 1990. |
| 3. | A. A. Il'yushin, "On basic principles of the general mathematical
theory of plasticity" in Problems in the Theory of Plasticity [in Russian],
pp. 3-29, Izd-vo AN SSSR, Moscow, 1961. |
| 4. | S. P. Finikov, Differential Geometry [in Russian], Izd-vo MGU,
Moscow, 1961. |
| 5. | A. A. Il'yushin, Plasticity [in Russian], Gostekhizdat, Moscow, Leningrad,
1948. |
| 6. | B. E. Pobedrya, Mechanics of Composite Materials [in Russian], Izd-vo MGU,
Moscow, 1984. |
| 7. | V. S. Lenskii, "Experimental verification of isotropy laws and
delay under combined loading," Izv. AN SSSR. OTN, No. 11, pp. 15-23,
1958. |
| 8. | R. A. Vasin, "Some problems concerning stress-strain relations
under combined loading," in Elasticity and Inelasticity [in Russian], No. 1.,
pp. 59-126, Izd-vo MGU, Moscow, 1971. |
| 9. | N. S. Bakhvalov and G. P. Panasenko, Averaging of Processes in
Periodic Media [in Russian], Nauka, Moscow, 1984. |
| 10. | B. E. Pobedrya, "On the theory of plasticity for transversely
isotropic materials," Izv. AN. MTT [Mechanics of Solids]old, No. 3, pp. 96-101, 1990. |
| 11. | B. E. Pobedrya, "Specific features of the theory of processes in
composite media," Mekh. Komposit. Materialov, No. 4, pp. 612-617, 1984. |
|
| Received |
17 July 2000 |
| << Previous article | Volume 36, Issue 1 / 2001 | Next article >> |
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