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Scattering of time-harmonic elastic waves by an elastic inclusion with quadratic nonlinearity
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10.1121/1.3692233
/content/asa/journal/jasa/131/4/10.1121/1.3692233
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/4/10.1121/1.3692233
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Figures

Image of FIG. 1.
FIG. 1.

An incident longitudinal wave with circular frequency ω impinges upon a nonlinear inclusion embedded in a linear medium. Since the linear properties of the medium are uniform, the scattered field will not contain the fundamental frequency. Only second harmonic 2ω will be scattered.

Image of FIG. 2.
FIG. 2.

(Color online) (a) Normalized amplitude directivity of the second harmonic longitudinal wave in far-field scattered by a spherical nonlinear inclusion with radius R. k L  = ω/c L is the wave number of the incident longitudinal wave, which propagates in the direction of 0°. (b) Normalized amplitude directivity of the second harmonic shear wave in far-field scattered by a spherical nonlinear inclusion with radius R. k L  = ω/c L is the wave number of the incident longitudinal wave, which propagates in the direction of 0°.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Comparison between actual ensemble average of nonlinear parameter β L to experimental (Monte Carlo simulation) ensemble average of nonlinear parameter β L with different times of realization (three-dimension inclusion). (b) Comparison between actual standard deviation σ of nonlinear parameter β L to experimental (Monte Carlo simulation) standard deviation σ of nonlinear parameter β L with different times of realization (three-dimension inclusion). (c) Comparison between actual dimensionless autocorrelation length λ/R of nonlinear parameter β L to experimental (Monte Carlo simulation) dimensionless autocorrelation length λ/R of nonlinear parameter β L with different times of realization (three-dimension inclusion).

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/content/asa/journal/jasa/131/4/10.1121/1.3692233
2012-04-12
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Scattering of time-harmonic elastic waves by an elastic inclusion with quadratic nonlinearity
http://aip.metastore.ingenta.com/content/asa/journal/jasa/131/4/10.1121/1.3692233
10.1121/1.3692233
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