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Nonlinear Relaxational Absorption/Transparency for Acoustic Waves Due to Thermoelastic Effect

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A thermoelastic mechanism that manifests itself as nonlinear dissipation of acoustic waves without implying either hysteresis or nonlinear viscous-like losses is considered. This idea was earlier considered at rheological level by the present authors for microinhomogeneous solids with defects possessing elastic nonlinearity and linear viscous-like dissipation. In the present paper, this mechanism is discussed first from a more general point of view in terms of relaxators with parameters varied due to purely reactive nonlinearity. Then it is considered in details for a practically important special case of such relaxators in the form of cracks containing inner contacts. It is shown that, due to strong stress concentration at the contacts and due to enhanced temperature gradients, the thermoelastic dissipation at these relaxators can be very efficient. Implications for linear small-amplitude losses as well as nonlinear effects of induced transparency and induced dissipation are discussed. The two latter effects may coexist and be observed at different frequency ranges (below and above the relaxation maximum). The considered amplitude-dependent effects are typical of the same defects that may also exhibit hysteretic properties due to adhesion or friction mechanisms. Thus the discussed non-hysteretic and hysteretic mechanisms may be activated simultaneously, which should be taken into account in theoretical interpretation of observations.
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Document Type: Research Article

Publication date: January 1, 2006

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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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