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Behavior of Lamb waves and Multilayered Rayleigh Waves in an Anisotropic Periodically Multilayered Medium: Application to the Long-wave Length Domain

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The aim of this paper is to study the behavior of leaky Lamb waves and what we termed multilayered Rayleigh waves in anisotropic periodically multilayered media and particularly in the long wave length domain. The multilayered medium is first studied in its whole complexity and dispersion curves for multilayered Rayleigh modes are drawn for Carbon/Epoxy composites. The displacement vector of such a wave is studied in detail, enabling the examination of the change of the nature of a mode which is the result of a Floquet wave becoming propagative again. In the long wavelength domain, the multilayered Lamb modes are identical for all the multilayered media which have the same layers in a superlayer, irrespective of the stacking order of the layers. However, the stacking order of the layers in a period of the multilayered medium has an importance in the validity domain of homogenisation for multilayered Rayleigh mode. When the frequency tends towards zero, the velocity of the multilayered Rayleigh mode tends towards the velocity of the Rayleigh wave that is propagating in the corresponding homogenised medium. The validity domain of homogenisation therefore depends on the nature of the studied waves.

Document Type: Research Article

Publication date: September 1, 1996

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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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