Multiple Scattering Simulation of Pure-Mode Shear Wave in Fiber-Reinforced Composites
Satoshi YAMAMOTO, Shiro BIWA and Nobutada OHNO
Abstract:Multiple wave scattering in unidirectional fiber-reinforced composite materials is studied computationally for elastic shear waves polarized parallel to the fibers. In this paper, a collocation method is proposed to numerically solve the system of multiple scattering equations expressed in terms of the eigenfunction expansion coefficients of the wave field. The computation is shown to be facilitated by assuming certain periodicity of the fiber arrangement, and taking only a few low-order terms of the expansion valid for the wavelength much larger than the fiber radius. Using the proposed method, multiple scattering of the shear wave in unidirectional SiC/Ti-alloy composite is analyzed, and the macroscopic as well as the microscopic wave fields in the composite are demonstrated. Furthermore, the phase velocity of the composite is identified from the analysis, which dependence on the frequency and the fiber volume fraction is discussed in detail in comparison to the results due to some previous multiple scattering theories. Key Words:Unidirectional composite, Elastic wave, Shear wave, Multiple scattering, Phase velocity, SiC/Ti-alloy composite, Numerical simulation