Reflection, transmission of QP- wave at an imperfect interface between two transversly isotropic elastic half-spaces

Abstract

This work is concerned with the reflection and transmission of quasi-P wave incident at an imperfect interface between two transversely isotropic elastic halfspaces. First, the characteristic equation in the transversely isotropic halfspace is derived. The form of the incident, reflected, and transmitted waves are given. The linear spring model is used to describe the imperfection of bonding behavior at the interface. Then, from the interface conditions for two cases (perfect and imperfect interface), the displacement and stress are required to be satisfied. Reflection, transmission coefficients (RTC) have been derived analytically for when a longitudinal displacement wave strikes an imperfect interface. Finally, numerical examples are provided to show the effect of the imperfect interface and incident angle on the reflection and transmission coefficients.