 | | 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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| L. V. Muravleva, "On some composite failure criteria based on the averaging method," Mech. Solids. 42 (3), 471-480 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
3 |
Pages |
471-480 |
| Title |
On some composite failure criteria based on the averaging method |
| Author(s) |
L. V. Muravleva (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992, Russia, lvmurav@gmail.com) |
| Abstract |
The construction of an anisotropic criterion for composite failure is based on the use of the averaging method and micromechanical criteria for each of the components. The averaging method permits calculating not only the effective properties of a composite using the solutions of a local problem on the periodicity cell but also the stresses and strains in each composite. Using the superposition method and studying the composite brittle failure, we can calculate the stress distribution for an arbitrary radial (simple) macroloading as the linear combination of six basic problems on the periodicity cell. The limit load for an effective material is obtained from the condition that some of the composite components starts to fail. For given trajectories, the limit loads depend on the geometry of elastic properties and mainly on the ratio of ultimate strengths for different components of the composite. |
| References |
| 1. | R. Hill,
Mathematical Theory of Plasticity
(Inostr. Lit., Moscow, 1956)
[in Russian]. |
| 2. | E. K. Ashkenazi and E. V. Ganov,
Anisotropy of Structural Materials, Handbook
(Mashinostroenie, Leningrad, 1980)
[in Russian]. |
| 3. | I. I. Goldenblat and V. A. Kopnov,
Strength and Plasticity Criteria for Structural Materials
(Mashinostroenie, Moscow, 1968)
[in Russian]. |
| 4. | E. M. Wu,
"Phenomenological Failure Criteria for Anisotropic Media,"
in Composite Materials, Vol. 2, Mechanics of Composite Materials
(Mir, Moscow, 1978),
pp. 401-492
[in Russian]. |
| 5. | B. E. Pobedrya,
Mechanics of Composite Materials
(Izd-vo MGU, Moscow, 1984)
[in Russian]. |
| 6. | B. E. Pobedrya and V. I. Gorbachev,
"Strength Criteria for Layered and Fiber Composites,"
in Problems of Machine Construction and Automatics
(Moscow-Budapest, 1988),
No. 21, pp. 65-68
[in Russian]. |
| 7. | N. S. Bakhvalov and G. P. Panasenko,
Averaging of Processes in Periodic Media
(Nauka, Moscow, 1984) [in Russian]. |
| 8. | V. I. Gorbachev and B. E. Pobedrya,
"On Some Criteria of Composite Failure,"
Izv. Akad. Nauk ArmSSR
38 (4), 30-37 (1985). |
| 9. | L. V. Muravleva and S. V. Sheshenin, "Effective Moduli of
Reinforced Concrete Plate in Plastic Strain Range," Vestnik Moskov.
Univ. Ser. I. Mat. Mekh., No. 3, 62-65 (2004) [Moscow Univ. Math.
Bull.]. |
| 10. | G. Milani, P. B. Lourenco, and A. Tralli,
"Homogenized Limit Analysis of Masonry Walls. P. 1, Failure Surfaces,"
Comp. and Struct.
84, 166-180 (2006). |
|
| Received |
06 March 2007 |
| Link to Fulltext |
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