 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| E.V. Zdanchuk, V.V. Kuroyedov, V.V. Lalin, I.I. Lalina, and E.A. Provatorova, "Variational formulation of dynamic problems for a nonlinear Cosserat medium," J. Appl. Math. Mech. 81 (1), 66-70 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
1 |
Pages |
66-70 |
| DOI |
10.1016/j.jappmathmech.2017.07.007 |
| Title |
Variational formulation of dynamic problems for a nonlinear Cosserat medium |
| Author(s) |
E.V. Zdanchuk (Peter the Great St Petersburg Polytechnic University, St Petersburg, Russia, zelizaveta@yandex.ru)
V.V. Kuroyedov (Peter the Great St Petersburg Polytechnic University, St Petersburg, Russia)
V.V. Lalin (Peter the Great St Petersburg Polytechnic University, St Petersburg, Russia)
I.I. Lalina (Peter the Great St Petersburg Polytechnic University, St Petersburg, Russia)
E.A. Provatorova (Peter the Great St Petersburg Polytechnic University, St Petersburg, Russia) |
| Abstract |
A variational formulation of dynamic problems for a geometrically and physically nonlinear elastic Cosserat medium is obtained in the form of the problem of finding the stationary point of Hamilton's functional. Variations of the strain and rotation tensors and the linear and angular velocity vectors are calculated. The equivalence of the Euler equations with natural boundary conditions to the equations of motion with the original boundary conditions in the case of potential force and torque loads is proved. A nontrivial potentiality condition of the torque (bulk and surface) loads is obtained. |
| Received |
24 June 2016 |
| Link to Fulltext |
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