Surface waves of non-Rayleigh type
Author:
Sergey V. Kuznetsov
Journal:
Quart. Appl. Math. 61 (2003), 575-582
MSC:
Primary 74J15; Secondary 74E10
DOI:
https://doi.org/10.1090/qam/1999838
MathSciNet review:
MR1999838
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Abstract: Existence of surface waves of non-Rayleigh type propagating on some anisotropic elastic half-spaces is proved. Conditions for originating the non-Rayleigh type waves are analyzed. An example of a transversely isotropic material admitting a surface wave of the non-Rayleigh type is constructed.
- Sergey V. Kuznetsov, “Forbidden” planes for Rayleigh waves, Quart. Appl. Math. 60 (2002), no. 1, 87–97. MR 1878260, DOI https://doi.org/10.1090/qam/1878260
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
D. Royer and E. Dieulesaint, Rayleigh wave velocity and displacement in orthorhombic, tetragonal, and cubic crystals, J. Acoust. Soc. Am. 76, 1438–1444 (1985)
S. V. Kuznetsov, "Forbidden” planes for Rayleigh waves, Quart. Appl. Math. 60, 87–97 (2002)
P. Hartman, Ordinary Differential Equations, Wiley, NY, 1964
D. Royer and E. Dieulesaint, Rayleigh wave velocity and displacement in orthorhombic, tetragonal, and cubic crystals, J. Acoust. Soc. Am. 76, 1438–1444 (1985)
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Article copyright:
© Copyright 2003
American Mathematical Society
