 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| A.V. Muravlev, "On a Representation of an Elastic Potential in A. A. Il'yushin's Generalized Strain Space," Mech. Solids. 46 (1), 77-79 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
1 |
Pages |
77-79 |
| DOI |
10.3103/S0025654411010122 |
| Title |
On a Representation of an Elastic Potential in A. A. Il'yushin's Generalized Strain Space |
| Author(s) |
A.V. Muravlev (Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia, a.v.muravlev@mail.ru) |
| Abstract |
For elastic isotropic materials under finite strains, we consider an elastic potential in the form of a function of invariants of the Hencky logarithmic strain measure. For such a potential, we propose a representation in A. A. Il'yushin's generalized strain space. This representation is used to construct an approximation to the elastic potential for incompressible materials; this approximation permits exactly describing the stress-strain, compression, and pure shear diagrams. |
| Keywords |
elasticity, elastic potential, finite strain, strain measure, strain space |
| References |
| 1. | A. I. Lurie,
Nonlinear Theory of Elasticity
(Nauka, Moscow, 1980)
[in Russian]. |
| 2. | A. E. Green and J. E. Adkins,
Large Elastic Deformations and Non-Linear Continuum Mechanics
(Clarendon Press, Oxford, 1960; Mir, Moscow, 1965). |
| 3. | L. R. G. Treloar,
The Physics of Rubber Elasticity
(Oxford University Press, New York, 1949; Izd-vo AN SSSR, Moscow, 1953). |
| 4. | A. A. Il'yushin,
Plasticity. Foundations of General Mathematical Theory
(Izd-vo AN SSSR, Moscow, 1963)
[in Russian]. |
|
| Received |
12 October 2010 |
| Link to Fulltext |
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