General theory for the spectral evolution of nonlinear Rayleigh waves
作者:
E. Yu. Knight,
M. F. Hamilton,
Yu. A. II’inskii,
E. A. Zabolotskaya,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1997)
卷期:
Volume 102,
issue 3
页码: 1402-1417
ISSN:0001-4966
年代: 1997
DOI:10.1121/1.420057
出版商: Acoustical Society of America
数据来源: AIP
摘要:
The spectral theory developed by Zabolotskaya [J. Acoust. Soc. Am.91, 2569–2575 (1992)] for nonlinear Rayleigh waves in isotropic solids is generalized to include fields with nonperiodic waveforms and nonplanar spatial dependencies. Model equations for cylindrical waves and diffracting beams that have been used in previous work, and which were obtained in anad hocmanner, are derived here rigorously from first principles. The present theory for plane waves, which is derived using Hamiltonian formalism, is shown to be equivalent to the theory obtained by Parker [Int. J. Eng. Sci.26, 59–75 (1988)], whose derivation is based on a different approach.
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