Abstract
In this study, we consider the multiple scattering of time-harmonic elastic waves in a metal matrix composite containing randomly distributed parallel fibers with graded interfacial layers. In-plane compressional and shear waves are considered. We assume same-size circular fibers of identical properties and same-thickness interface layers with nonhomogeneous elastic properties. The method of solution consists of first solving the scattering problem by a large number N of arbitrarily distributed fibers in an infinite matrix, the resulting equations are then averaged by considering the positions of the fibers to be random with a statistically uniform distribution, and these averaged equations are solved by using Lax's quasicrystalline approximation. Numerical calculations for a SiC-fiber-reinforced Al composite are carried out for a moderately wide range of frequencies and the effect of interface properties on the phase velocities, attenuations of coherent plane waves and the effective elastic moduli are shown graphically.
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