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Harmonic Bursts in Weakly Inhomogeneous Material

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Wave motion in a material with weak spacial inhomogeneities described by the nonlinear Murnaghan-type theory of elasticity is studied theoretically. In one-dimensional setting for longitudinal waves a harmonic excitation of finite length and ultrasonic frequency is allowed to propagate through the material and reflect back from a free end. The governing equation of motion is solved making use of the perturbation method and analytical solutions up to the second order are considered. The effects of nonlinearity and inhomogeneity on the wave motion are analysed. These effects permit to clarify the influence of space-dependent material density and elastic properties on the wave motion.
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Document Type: Research Article

Publication date: September 1, 2010

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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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