Evolution of nonlinear Rayleigh waves in a coated substrate

Won Suk Ohm; Mark F. Hamilton

doi:10.1121/1.1738837

Evolution of nonlinear Rayleigh waves in a coated substrate

Won Suk Ohm, Mark F. Hamilton

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Nonlinear Rayleigh waves propagating in a substrate coated with a thin elastic film are studied numerically. The evolution model consists of the nonlinear spectral equations of Zabolotskaya [J. Acoust. Soc. Am. 91, 2569-2575 (1992)] augmented ad hoc to include film dispersion. The dispersion relation is obtained from linear theory but is otherwise exact. Both loading and stiffening films are considered. Computations are performed for nonlinear evolution of an initially sinusoidal Rayleigh wave under three distinct dispersion regimes corresponding to different film thicknesses. The validity of the evolution model is also examined.

Original language	English
Pages (from-to)	2798-2806
Number of pages	9
Journal	Journal of the Acoustical Society of America
Volume	115
Issue number	6
DOIs	https://doi.org/10.1121/1.1738837
Publication status	Published - 2004 Jun

All Science Journal Classification (ASJC) codes

Arts and Humanities (miscellaneous)
Acoustics and Ultrasonics

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AB - Nonlinear Rayleigh waves propagating in a substrate coated with a thin elastic film are studied numerically. The evolution model consists of the nonlinear spectral equations of Zabolotskaya [J. Acoust. Soc. Am. 91, 2569-2575 (1992)] augmented ad hoc to include film dispersion. The dispersion relation is obtained from linear theory but is otherwise exact. Both loading and stiffening films are considered. Computations are performed for nonlinear evolution of an initially sinusoidal Rayleigh wave under three distinct dispersion regimes corresponding to different film thicknesses. The validity of the evolution model is also examined.

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Evolution of nonlinear Rayleigh waves in a coated substrate

Abstract

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