Plane waves and fundamental solution in an electro-microstretch elastic solids

Abstract

The present investigation concerns with the propagation of plane waves and fundamental solution in a homogeneous isotropic electro-microstretch elastic solids. It is found that for two dimensional model, there exists two coupled longitudinal waves namely longitudinal displacement (LD) wave and longitudinal microstretch (LM) wave and two coupled transverse displacement and transverse microrotational waves (CD-I and CD-II). The phase velocities are computed numerically and depicted graphically to show the electric effect. In addition,we construct the fundamental solution of the system of differential equations in the theory of an electro-microstretch elastic solids in case of steady oscillations in terms of elementary functions. Some basic properties of the fundamental solution are established. Some special cases are also discussed.