Отправить статью по E-mail Construction of Models for Elastic Media with the Restricted Normal Components of the Stress Vector
- Авторы: Glushko A.I.1, Neshcheretov I.I.2
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Учреждения:
- Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
- Scientific and Engineering Center for Nuclear and Radiation Safety
- Выпуск: Том 53, № 6 (2018)
- Страницы: 707-720
- Раздел: Article
- URL: https://ogarev-online.ru/0025-6544/article/view/163493
- DOI: https://doi.org/10.3103/S0025654418060122
- ID: 163493
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Аннотация
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.
Об авторах
A. Glushko
Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: anatoly.glushko@yandex.ru
Россия, pr. Vernadskogo 101, str. 1, Moscow, 119526
I. Neshcheretov
Scientific and Engineering Center for Nuclear and Radiation Safety
Автор, ответственный за переписку.
Email: nescheretov@secnrs.ru
Россия, Malaya Krasnoselskaia ul. 2/8, korp. 5, Moscow, 107140
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