 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A.I. Glushko and I.I. Neshcheretov, "Construction of Models for Elastic Media with the Restricted Normal Components of the Stress Vector," Mech. Solids. 53 (6), 707-720 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
707-720 |
| DOI |
10.3103/S0025654418060122 |
| Title |
Construction of Models for Elastic Media with the Restricted Normal Components of the Stress Vector |
| Author(s) |
A.I. Glushko (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, anatoly.glushko@yandex.ru)
I.I. Neshcheretov (Scientific and Engineering Center for Nuclear and Radiation Safety Malaya Krasnoselskaia ul. 2/8, korp. 5, Moscow, 107140 Russia, nescheretov@secnrs.ru) |
| Abstract |
It is shown that the medium exhibiting the property of boundedness for normal stresses is hyperelastic, and the constitutive equation of the medium model is a nonlinear relation between the Piola-Kirchhoff and Green-Saint-Venant tensors.
For an isotropic medium, it is shown that the stress and strain tensors are coaxial, and a representation of the relation between the stress and strain tensors in the form of elementary functions of a tensor argument is obtained. A geometric proof of the uniqueness of the obtained representation is given. |
| Keywords |
gradient tensor, Green-Saint-Venant tensor, Cauchy-Green tensor, Piola-Kirchhoff tensor, isotropic function, reaction function |
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|
| Received |
10 November 2014 |
| Link to Fulltext |
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