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IssuesArchive of Issues2013-2pp.230-234

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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V.I. Yerofeyev and Ye.Ye. Lisenkova, "General relations for waves in one-dimensional elastic systems," J. Appl. Math. Mech. 77 (2), 230-234 (2013)
Year 2013 Volume 77 Issue 2 Pages 230-234
Title General relations for waves in one-dimensional elastic systems
Author(s) V.I. Yerofeyev (Nizhnii Novgorod, Russia, erf04@sinn.ru)
Ye.Ye. Lisenkova (Nizhnii Novgorod, Russia)
Abstract Common features inherent in waves propagating in one-dimensional elastic systems are pointed out. Local laws of energy and wave momentum transfer when the Lagrangian of an elastic system depends on the generalized coordinates and their derivatives up to the second order inclusive are presented. It is shown that in a reference system moving with the phase velocity, the ratio of the energy flux density to the wave momentum flux density is equal to the phase velocity. It is established that for systems, the behaviour of which is described by linear equations or by nonlinear equations in the unknown function, the ratio of the mean values of the energy flux density to the wave momentum density is equal to the product of the phase and group velocities of the waves.
Received 11 April 2011
Link to Fulltext http://www.sciencedirect.com/science/article/pii/S0021892813000890
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