Effective dynamic properties of 3D composite materials containing rigid pennyshaped inclusions
Abstract
The propagation of timeharmonic plane elastic waves in infinite elastic composite materials consisting of linear elastic matrix and rigid pennyshaped inclusions is investigated in this paper. The inclusions are allowed to translate and rotate in the matrix. First, the threedimensional (3D) wave scattering problem by a single inclusion is reduced to a system of boundary integral equations for the stress jumps across the inclusion surfaces. A boundary element method (BEM) is developed for solving the boundary integral equations numerically. Farfield scattering amplitudes and complex wavenumbers are computed by using the stress jumps. Then the solution of the single scattering problem is applied to estimate the effective dynamic parameters of the composite materials containing randomly distributed inclusions of dilute concentration. Numerical results for the attenuation coefficient and the effective velocity of longitudinal and transverse waves in infinite elastic composites containing parallel and randomly oriented rigid pennyshaped inclusions of equal size and equal mass are presented and discussed. The effects of the wave frequency, the inclusion mass, the inclusion density, and the inclusion orientation or the direction of the wave incidence on the attenuation coefficient and the effective wave velocities are analysed. The results presented in this paper are compared with the available analytical results in the lowfrequency range.
 Publication:

Waves in Random and Complex Media
 Pub Date:
 August 2010
 DOI:
 10.1080/17455030.2010.490859
 Bibcode:
 2010WRCM...20..491M