A CORRESPONDENCE BETWEEN PLANE ELASTICITY AND THE 2-DIMENSIONAL REAL AND COMPLEX DIELECTRIC EQUATIONS IN ANISOTROPIC MEDIA

A correspondence between the two-dimensional complex dielectric equati ons and those of plane-strain elasticity is established. Specifically, homogeneous orthotropic dielectric media are shown to correspond to o rthotropic elastic media, and by making an affine transformation of th e elasticity problem, we obtain correspondences between orthotropic di electric media and non-orthotropic elastic media. We also find a corre spondence between the elasticity problem and a pair of dielectric prob lems in which the dielectric tensors are real. These correspondences a re extended to certain classes of inhomogeneous media. Applied to comp osite materials, they imply exact relations between the effective tens ors of associated dielectric and elasticity problems.