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- W2034152821 abstract "A ray theory for two-dimensional, finite-amplitude acoustic waves forming a mode within a hard-walled rectangular waveguide was described previously [K. T. Shu and J. H. Ginsberg, J. Acoust. Soc. Am. Suppl. 1 83, S1 (1988)]. The present paper extends those developments to the treatment of oblique reflection and mode conversion of a finite-amplitude dilatational wave (P wave) at the stress-free boundary of an elastic half-space. Due to nonlinear self-action, cumulative growth of second harmonics occur in the incident and reflected P waves in proportion to the square of the amplitude of the first-order incident and reflected P waves, respectively, but such growth is not encountered in the reflected vertically polarized shear wave (SV wave), nor in the many waves arising from nonlinear interaction between dilatational and shear waves. Uniformly valid expressions for strain are obtained by using renormalization techniques along the rays. The analysis indicates that the mode conversion between the nonlinear P and SV waves can be described by linear reflection theory. As a consequence of the reflection process, the nonlinear effect in the reflected P wave corresponds to a simple planar wave that originated from a weaker source at a longer range, even though the phase of that wave is governed by the actual propagation distance from the source. [Work supported by NSF and ONR.]" @default.
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- W2034152821 date "1988-11-01" @default.
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- W2034152821 title "Oblique reflection of a finite‐amplitude dilatational wave in an elastic half‐space" @default.
- W2034152821 doi "https://doi.org/10.1121/1.2026394" @default.
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