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Magnetoelastic shear waves in an infinite self‐reinforced plate
Author(s) -
Chattopadhyay A.,
Choudhury S.
Publication year - 1995
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610190405
Subject(s) - dimensionless quantity , group velocity , phase velocity , isotropy , physics , wave propagation , hyperbola , wavenumber , shear waves , shear (geology) , shear velocity , longitudinal wave , ellipse , love wave , lamb waves , mechanics , classical mechanics , mechanical wave , geometry , mathematics , optics , materials science , composite material , astronomy , turbulence
The propagation of magnetoelastic shear waves in an infinite self‐reinforced plate is studied in this paper. The frequency spectrum for SH‐modes in the plate is drawn and it is shown that if the dimensionless wave number is real, the branches are hyperbolas while for imaginary wave numbers, they are ellipses. It is also observed that for higher modes, the dimensionless group velocity approaches 9·9754 as the wave number increases. The group velocity is normalized with respect to the phase velocity of shear waves. For a homogeneous and isotropic medium, on the other hand, the dimensionless group velocity approaches unity. So it is approximately 10 times larger in case of magnetoelastic shear waves in an infinite self‐reinforced plate. It is also noted that in a reinforced medium, if both the values of the coupling parameter and the angle at which the wave crosses the primary magnetic field are increased, the values of the dimensionless frequency and group velocity are decreased.