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Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation pp 263–299Cite as

Second-Harmonic Generation at Contacting Interfaces

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Abstract

The second-harmonic generation at contacting interfaces between solid bodies is examined in this chapter from theoretical and experimental points of view. A nonlinear spring-type interface model is first laid down as a mathematical model of contacting interfaces. The second-harmonic generation at contacting interfaces is then analyzed using a perturbation approach for plane, time-harmonic waves at normal and oblique incidence. Both time-domain and frequency-domain formulations are presented. Some experimental aspects are discussed regarding the second-harmonic generation at a contacting interface of aluminum alloy blocks subjected to different levels of compressive loading, together with the quantitative comparison between the experimental results and the theoretical predictions.

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Acknowledgments

The experimental results presented in Sect. 7.5 were obtained during 2006–2008 in collaboration with Mr. Shigeru Yamaji, a graduate student of Kyoto University, and Prof. Eiji Matsumoto. The writing of this chapter has been conducted partly for the basis of the author’s current research project sponsored by the JSPS KAKENHI Grant Number JP16H04235.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto, Japan

    Shiro Biwa

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  1. Shiro Biwa
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Correspondence to Shiro Biwa .

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Editors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, Aerospace and Mechanical Engineering, University of Arizona, Tucson, AZ, USA

    Tribikram Kundu

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Biwa, S. (2019). Second-Harmonic Generation at Contacting Interfaces. In: Kundu, T. (eds) Nonlinear Ultrasonic and Vibro-Acoustical Techniques for Nondestructive Evaluation. Springer, Cham. https://doi.org/10.1007/978-3-319-94476-0_7

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  • DOI: https://doi.org/10.1007/978-3-319-94476-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-94474-6

  • Online ISBN: 978-3-319-94476-0

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