Email this article Construction of Models for Elastic Media with the Restricted Normal Components of the Stress Vector
- Authors: Glushko A.I.1, Neshcheretov I.I.2
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Affiliations:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Scientific and Engineering Center for Nuclear and Radiation Safety
- Issue: Vol 53, No 6 (2018)
- Pages: 707-720
- Section: Article
- URL: https://journals.rcsi.science/0025-6544/article/view/163493
- DOI: https://doi.org/10.3103/S0025654418060122
- ID: 163493
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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.
About the authors
A. I. Glushko
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Author for correspondence.
Email: anatoly.glushko@yandex.ru
Russian Federation, pr. Vernadskogo 101, str. 1, Moscow, 119526
I. I. Neshcheretov
Scientific and Engineering Center for Nuclear and Radiation Safety
Author for correspondence.
Email: nescheretov@secnrs.ru
Russian Federation, Malaya Krasnoselskaia ul. 2/8, korp. 5, Moscow, 107140
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