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Homogenization of Multidirectional Composites Using Spectral Analysis Method

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An inverse procedure is proposed to determine the material constants of multi-ply composites using a spectral analysis homogenization method (SAHM). Recursive process gives interfacial displacements and stresses fields in term of deepness. A fast-Fourier transform (FFT) procedure has been used in order to extract the wave numbers propagating in the multilayer. For different incidence angle, the upper frequency bound of this homogenization domain is estimated. Inside the homogenization domain, we discover a maximum of three planes waves susceptible to propagate in the medium. The dispersion curves reveal a linear behavior below this frequency limit. A consistent algorithm is adopted to develop an inverse procedure for the determination of the materials constants of multidirectional composite. The extracted wave numbers are used as the inputs for the SAHM model. The outputs of (SAHM) are the elastic constants of multidirectional composite. Using this method, the frequency dependent effective elastic constants are obtained and example for [0°/90°] composite is given.
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Document Type: Research Article

Publication date: November 1, 2012

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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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