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Acoustic Pulses in Media with Power Law Hysteretic Nonlinearity

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This paper presents analytical results on propagation of acoustic unipolar pulses in media with hysteretic nonlinearity characterized by a power law with an arbitrary exponent. Exact solutions for pulse profiles are derived for 1D propagation in the case of integer power-law exponents. For fractional ones, numeric and approximate analytical solutions are obtained. These results are used for interpretation of experimental data from the study by Y. Yasumoto, et al. [Acta Acustica united with Acustica 30(5) (1974) 260–267], where propagation of acoustic pulses in aluminum samples with different degree of annealing was observed. It is found that the dependence of the received pulse amplitude on the excitation amplitude corresponds to exponent n = 4 in the hysteretic equation of state, the nonlinear parameters of which increase with increasing temperature annealing.
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Document Type: Research Article

Publication date: May 1, 2018

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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