Dynamic Effective Properties of Lead-Reinforced Epoxy Resin Composites with Differential Method

Abstract

In this paper, the quasi-P wave propagation in epoxy/lead composites is studied by the differential method with polarization stress and polarization momentum. The corresponding differential equations are numerically solved by the fourth-order Runge–Kutta method, and the dynamic effective modulus and density are obtained. Correctness of the results obtained by the differential method is verified by comparing with the results obtained by the self-consistent method as well as experiments. Results show that the dynamic effective modulus L1133 and L3333 increase with the increase of aspect ratio δ, whereas L1111 and L1122 decrease with the increase of δ. The phase velocity ratio of the quasi-P wave propagation in the composites tends to 1 when the dimensionless wave number is large, and the dynamic effective density and modulus obtained are not isotropic when δ≠1. It is believed that the differential method can be a choice for solving dynamic effective properties of heterogeneous composites.