 | | 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: | | 12868 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8057
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| In English (Mech. Solids): | | 4811 |
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| Anisimov A.E., Zdanchuk E.V., and Lalin V.V., "Surface of Discontinuity in Anisotropic Reduced Cosserat Continuum: Uniqueness Theorem for Dynamic Problems with Discontinuities," Mech. Solids. 55 (7), 1051-1056 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
7 |
Pages |
1051-1056 |
| DOI |
10.3103/S0025654420070031 |
| Title |
Surface of Discontinuity in Anisotropic Reduced Cosserat Continuum: Uniqueness Theorem for Dynamic Problems with Discontinuities |
| Author(s) |
Anisimov A.E. (Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251 Russia, alex.evg.anisimov@yandex.ru)
Zdanchuk E.V. (Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251 Russia, zelizaveta@yandex.ru)
Lalin V.V. (Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251 Russia, vllalin@yandex.ru) |
| Abstract |
An isolated surface that moves relative to the micropolar media and across which the first
derivatives of variables are discontinuous is considered. The reduced Cosserat continuum is an elastic
medium where all translations and rotations are independent. Moreover, the force stress tensor is
asymmetric and the couple stress tensor is equal to zero. Continuity conditions were established and
it is shown that the first derivative of the rotation vector cannot have discontinuities. It is demonstrated
that the solution in this case is unique. |
| Keywords |
micropolar continuum, reduced Cosserat continuum, surface of strong discontinuity, gran- ular materials, kinematic and dynamic conditions, uniqueness theorem |
| Received |
16 March 2019 | Revised |
31 October 2019 | Accepted |
23 November 2019 |
| Link to Fulltext |
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