Interface/interphase effects on scattering of elastic P- and SV-waves from a circular nanoinclusion embedded in a solid viscoelastic matrix

Abstract

This study aims to present an analytical investigation of the dynamic effects of the interfacial region on scattering of elastic P- and SV-waves by a circular nanoinclusion. The nanoinclusion is assumed to be surrounded by an interphase region and embedded in a polymer viscoelastic matrix. Wave function expansion method is utilized to solve the Navier wave equation in all three phases (fiber-interphase-matrix) and for the viscoelastic regions, the features of Havriliak-Negami model are used to account for the frequency-dependent material properties. Dynamic Stress Concentration Factor (DSCF) and Scattering Cross Section (SCS) results are obtained for both cases of incident waves. To focus on the interfaces, Gurtin-Murdoch model of surface elasticity is applied in modeling the interfaces. Additionally, effects of interphase inhomogeneity and viscoelasticity on the results are studied. The results indicate that considering the simultaneous effects of nanoscale interface parameter and inhomogeneity and viscoelasticity of the interphase has a considerable impact on the dynamic behavior of the nanoinclusion.