Self-consistent analysis of elastic wave propagation in two-dimensional matrix-inclusion composites

Wave dispersion and attenuation in fiber composites

“…Also, Mal (1994, 1996) applying iteratively the same GSC model they found dispersion and attenuation relations for composites with homogeneous and inhomogeneous ®bers. Bussink et al (1995), employing the self-consistent model of Sabina and Willis (1988), studied wave propagation in ®ber composites, while Kim (1996) applying a dynamic self-consistent effective medium (DSCEM) approximation, analogous to the coherent potential (CP) approximation ®rst proposed by Soven (1967), found dispersion and attenuation relations for scalar SH waves propagating perpendicularly to the ®bers. Comparisons with experimental results have shown that among the theories grouped in the above mentioned four categories the self-consistent models are those which predict more accurately the behaviour of a stress wave propagating within a ®ber reinforced composite material.…”

Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber

“…For subsequent work, see (Varadan et al, 1978), (Yang and Mal, 1994), (Bose, 1996), (Kanaun and Levin, 2003), and (Kim, 2003). For analogous plane-strain elastodynamics, see (Varadan et al, 1986), (Yang and Mal, 1994), (Bussink et al, 1995) and (Verbis et al, 2001).…”

Antiplane shear wave propagation in fiber-reinforced composites

“…As well as the simplicity of the present method, reasonable agreements with other theories and experimental results should also be noted. Analogous conditions for fiber-reinforced composites subject to in-plane wave motion and particulate composites can be derived: ͗ f L (k L ;k L )͘ϭ0 and ͗ f S (k S ;k S )͘ϭ0 to be solved together with the corresponding quasidynamic effective densities, 7,20 where f L and f S are scattered longitudinal and shear wave amplitudes and k L and k S are longitudinal and shear wave vectors.…”