Actively Regulating Total Internal Reflection in Elastic-Dielectric Elastomers Bi-Materials Using Biasing Fields

This paper deals with the reflection and transmission of SH waves at a well-bonded interface separating two dissimilar isotropic elastic and dielectric elastomers (DEs) solids subjected to biasing fields. A solution is proposed to regulate the total internal reflection (TIR) behavior of the interface through pre-stretch and preset electric displacement. The mechanical model and solutions for the dynamic analysis of the elastic-DE bi-materials were established based on the nonlinear electroelastic framework of Dorfmann and Ogden, and related linear small-increment motion theory. The reflection, transmission and energy coefficients at different incident angles and biasing fields are given in the numerical calculation. Numerical results show that the TIR behavior depends strongly on the incident angle, pre-stretch and preset electric displacement of the SH waves, and the necessary condition for the occurrence of TIR under the biasing fields is
$\sqrt{K}\leq \lambda \overline{D}_{3}^{1/6}$
.