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Title: Frequency Dependence of Second-Harmonic Generation in Lamb Waves
Authors: Matsuda, Naoki  kyouindb  KAKEN_id  orcid (unconfirmed)
Biwa, Shiro  kyouindb  KAKEN_id  orcid (unconfirmed)
Author's alias: 松田, 直樹
琵琶, 志朗
Keywords: Nonlinear ultrasonics
Higher harmonic generation
Lamb wave
Perturbation analysis
Finite-difference time-domain method
Issue Date: 7-Feb-2014
Publisher: Springer US
Journal title: Journal of Nondestructive Evaluation
Volume: 33
Issue: 2
Start page: 169
End page: 177
Abstract: The frequency dependence of the second-harmonic generation in Lamb waves is studied theoretically and numerically in order to examine the role of phase matching for sensitive evaluation of material nonlinearity. Nonlinear Lamb wave propagation in an isotropic plate is analyzed using the perturbation technique and the modal decomposition in the neighborhood of a typical frequency satisfying the phase matching. The results show that the ratio of the amplitude of second-harmonic Lamb mode to the squared amplitude of fundamental Lamb mode grows cumulatively in a certain range of fundamental frequency for a finite propagation distance. It is also shown that the frequency for which this ratio reaches maximum is close but not equal to the phase-matching frequency when the propagation distance is finite. This feature is confirmed numerically using the finite-difference time-domain method incorporating material and geometrical nonlinearities. The fact that the amplitude of second-harmonic mode becomes high in a finite range of fundamental frequency proves robustness of the material evaluation method using second harmonics in Lamb waves.
Rights: The final publication is available at Springer via
This is not the published version. Please cite only the published version.
DOI(Published Version): 10.1007/s10921-014-0227-y
Appears in Collections:Journal Articles

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