Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
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(Translated from 1958)
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IssuesArchive of Issues2017-1pp.66-70

Archive of Issues

Total articles in the database: 1729
In Russian (): 951
In English (J. Appl. Math. Mech.): 778

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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 http://www.sciencedirect.com/science/article/pii/S0021892817300436
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