A Dynamic Generalized Self-Consistent Model for Wave Propagation in Particulate Composites

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.