Hypo-Elastic Dielectrics. I. Constitutive Equations

Abstract

The hypo-elastic dielectric continuum is investigated theoretically and its constitutive equations are defined as a natural extension of the elastic dielectric continuum. The birefringence and extinction angle for dielectric are derived shortly from the Maxwell-Lorentz field theory. The mechanical and optical constitutive equations of compressible and incompressible hypo-elastic dielectrics are defined generally on the basis of the rate type constitutive equations of isotropic elastic dielectric. According to the representation theorem for tensor-valued isotropic function, the explicit representations of the constitutive equations of grade zero, one and two are given.