Waveform distortion and shock development in nonlinear rayleigh waves

R. W. Lardner

doi:10.1016/0020-7225(85)90020-5

Waveform distortion and shock development in nonlinear rayleigh waves

R. W. Lardner^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

23 Scopus citations

Abstract

Using an asymptotic theory of nonlinear Rayleigh waves previously developed, numerical solutions are obtained for the variation with distance of the amplitudes of the higher harmonics in an initially sinusoidal wave. The two components of the particle velocity on the free surface are calculated and it is found that after a finite distance a shock develops in the form of a discontinuity in the horizontal velocity component.

Original language	English
Pages (from-to)	113-118
Number of pages	6
Journal	International Journal of Engineering Science
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/0020-7225(85)90020-5
State	Published - 1985

ASJC Scopus subject areas

General Materials Science
General Engineering
Mechanics of Materials
Mechanical Engineering

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10.1016/0020-7225(85)90020-5

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title = "Waveform distortion and shock development in nonlinear rayleigh waves",

abstract = "Using an asymptotic theory of nonlinear Rayleigh waves previously developed, numerical solutions are obtained for the variation with distance of the amplitudes of the higher harmonics in an initially sinusoidal wave. The two components of the particle velocity on the free surface are calculated and it is found that after a finite distance a shock develops in the form of a discontinuity in the horizontal velocity component.",

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year = "1985",

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AU - Lardner, R. W.

PY - 1985

Y1 - 1985

N2 - Using an asymptotic theory of nonlinear Rayleigh waves previously developed, numerical solutions are obtained for the variation with distance of the amplitudes of the higher harmonics in an initially sinusoidal wave. The two components of the particle velocity on the free surface are calculated and it is found that after a finite distance a shock develops in the form of a discontinuity in the horizontal velocity component.

AB - Using an asymptotic theory of nonlinear Rayleigh waves previously developed, numerical solutions are obtained for the variation with distance of the amplitudes of the higher harmonics in an initially sinusoidal wave. The two components of the particle velocity on the free surface are calculated and it is found that after a finite distance a shock develops in the form of a discontinuity in the horizontal velocity component.

UR - https://www.scopus.com/pages/publications/0021853677

U2 - 10.1016/0020-7225(85)90020-5

DO - 10.1016/0020-7225(85)90020-5

M3 - Article

AN - SCOPUS:0021853677

SN - 0020-7225

VL - 23

SP - 113

EP - 118

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 1

ER -

Waveform distortion and shock development in nonlinear rayleigh waves

Abstract

ASJC Scopus subject areas

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