 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| << Previous article | Volume 60, Issue 5 / 2025 | Next article >> |
| N.I. Ostrosablin, "The Elastic Constants of an Isotropic Medium Can Have Arbitrary Values," Mech. Solids. 60 (5), 3397-3410 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3397-3410 |
| DOI |
10.1134/S0025654424607237 |
| Title |
The Elastic Constants of an Isotropic Medium Can Have Arbitrary Values |
| Author(s) |
N.I. Ostrosablin (Lavrent’ev Institute of Hydrodynamics of Siberian Branch RAS, Novosibirsk, 630090 Russia, o.n.ii@yandex.ru) |
| Abstract |
Using the example of the matrix of elastic constants of an isotropic material, it is shown that
the Young’s modulus, shear modulus, volume modulus, and Poisson’s ratio can take any real values.
In this case, the positive definiteness of the matrix of elastic constants is not mandatory, as is traditionally assumed. The positivity of the specific strain energy also occurs when the matrix of elastic constants is not positive definite. It is sufficient for the invertibility of the relations of Hooke’s law to
require the non-degeneracy of the matrix of elasticity constants. Graphs of Young’s modules, volume
and Poisson’s ratio depending on the ratio of Lame constants are given. |
| Keywords |
isotropic material, elastic constants, Young’s modules, shear, bulk, Poisson’s ratio, “negative” materials, metamaterials, four-dimensional isotropic medium, proper modules and states |
| Received |
28 December 2024 | Revised |
14 March 2025 | Accepted |
15 March 2025 |
| Link to Fulltext |
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