Wave propagations in an inhomogeneous medium (e.g., voids, particles, defects, inclusions) undergo multiple scattering which results in a frequency-dependent velocity and attenuation of coherent wave. The aim of this study is to analyses multiple scattering of plane compressional and shear waves in a composite containing randomly distributed spherical inclusions in a homogenous isotropic medium. To calculate effective wave numbers of ultrasonic waves propagating in the heterogeneous material, a generalized self-consistent multiple scattering model is used in this study. Numerical results for the effective phase velocity and attenuation of both P and SV waves are calculated for a wide range of frequencies and concentrations. The proposed dynamic generalized self-consistent model for particulate composites recovers both well-known static effective moduli in the static limit and the results at higher frequencies and concentrations agree well with published experimental data.
A Dynamic Generalized Self-Consistent Model for Wave Propagation in Particulate Composites
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, June 5, 2002; final revision, Dec. 17, 2002. Associate Editor: A. K. Mal. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Chair, Department of Mechanics and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Yang, R. (August 25, 2003). "A Dynamic Generalized Self-Consistent Model for Wave Propagation in Particulate Composites ." ASME. J. Appl. Mech. July 2003; 70(4): 575–582. https://doi.org/10.1115/1.1576806
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