Multiple scattering of compressional and shear waves by fiber-reinforced composite materials

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  • V. K. Varadan
    Laboratory for Electromagnetic and Acoustic Research, Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802
  • Y. Ma
    Laboratory for Electromagnetic and Acoustic Research, Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802
  • V. V. Varadan
    Laboratory for Electromagnetic and Acoustic Research, Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, Pennsylvania 16802

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<jats:p>A multiple scattering formalism using a T matrix to characterize the response of a single fiber to an incident wave is presented to describe P- and SV-wave propagation in a fiber-reinforced composite. A convenient numerical procedure is then developed to compute the effective elastic moduli, attenuation, and phase velocity as a function of frequency and fiber concentration.</jats:p>

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