Transmission of longitudinal wave through micro-porous elastic solid interface

Abstract

An investigation of reflection and transmission phenomena of plane longitudinal wave from a plane interface between two
distinct micropolar porous elastic solid half-spaces in welded contact has been made. Using the method of potentials, the
appropriate boundary conditions at the interface are solved to obtain the amplitudes of various reflected and transmitted waves.
It has been noticed that these amplitudes are complex valued and their absolute values depend upon the angle of incidence,
frequency of the incident wave and on the elastic characteristics of the medium. Numerical computations for a peculiar model
are also performed. The variation of modulus of amplitudes of various reflected and transmitted waves against the angle of
incidence are computed for obliquely incident longitudinal displacement wave traveling at high frequency as well as at low
frequency. At each angle of incidence, the energy balance law has been verified at the interface.