ELECTROSTATICS OF ANISOTROPIC INCLUSIONS IN ANISOTROPIC MEDIA

There are many ways to solve potential problems for anisotropic mixtur es. The finite element method is a popular choice with great flexibili ty that gives the solution in the entire computational domain. Effecti ve medium approximation is a simpler option that only estimates effect ive properties. Interface integral equation methods is a third class o f methods that has been studied for a long time, but only rarely been used for computations. In this paper, electrostatics of anisotropic tw o-dimensional composites is discussed. The geometry under consideratio n is a periodic composite of arbitrarily shaped anisotropic inclusions in an anisotropic matrix. The location of the inclusion interfaces ar e given on analytic form as to facilitate reproduction of results. Hig hly accurate calculations are performed with a coupled first and secon d kind Fredholm integral equation method. Comparison is made with fini te element method calculations. (C) 1995 American Institute of Physics .