Reflection and Transmission of Micropolar Elastic Waves at an Imperfect Boundary

Abstract

A problem concerning with the reflection and transmission of micropolar elastic plane waves at an imperfect interface between two homogeneous, isotropic micropolar elastic half‐spaces of different micropolar elastic properties has been investigated. The expressions for the reflection and transmission coefficients which are the ratios of the amplitudes of reflected and transmitted waves to the amplitude of incident waves are obtained for an imperfect boundary and deduced for normal couple stiffness, transverse couple stiffness, transverse force stiffness and welded contact. Numerical calculations have been performed for amplitude ratios of various reflected and transmitted waves. The variations of amplitude ratios with angle of incident wave have been depicted graphically. Some special cases have also been deduced from the present investigation. It is found that the amplitude ratios of reflected and transmitted waves are affected by the stiffness and micropolarity of the media.