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Third Harmonic Generation of Transverse Acoustic Waves in Crystals and Ceramics

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When transverse acoustic waves propagate in isotropic solids and in some specially orientated crystals the quadratic or the second order nonlinearity does not exist. The third harmonic generation (THG) of transverse waves in such materials is investigated in this paper. Since the quadratic nonlinearity does not exist, the third harmonic wave is generated solely by the cubic nonlinear interactions of the fundamental waves. A nonlinearity parameter for the THG is defined analog to the second harmonic generation of longitudinal waves. This parameter involves the linear combination of the second-, third- and fourth-order elastic constants. If the relevant second- and third-order constants are known, the fourth-order constants can be isolated from the measured nonlinearity parameters. Experiments of third harmonic generation in shear waves are carried out for poled and unpoled PZT4 ceramics. The appropriate nonlinearity parameters are determined, which give some combinations of the second-, third- and fourth-order elastic constants. This THG provides a new way to determine the fourth-order elastic constants of materials in addition to the static pressure measurements.

Document Type: Research Article

Publication date: March 1, 2002

More about this publication?
  • 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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