Hypo-Elastic Dielectrics. II. Birefringence in Simple Shear

Abstract

The mechanical and optical properties of the hypo-elastic dielectrics are investigated theoretically in the case of simple shear and of grade one. The sets of ordinary linear differential equations of stress and index tensors are derived from the constitutive equations for the deformation of simple shear and their solutions are obtained analytically. In simple shear the dimensionless shear stress depends on a dimensionless mechanical constant and the dimensionless birefringence depends on two dimensionless material constants, i.e., mechanical and optical constants. The stresses, birefringence and extinction angle are calculated for several values of two constants and depicted against the angle of shear. It is shown that shear stress and birefringence may be subjected to a kind of yield phenomenon, i.e., the hypo-elastic mechanical and optical yields.