The solution of an inhomogeneity in a finite plane region and its application to composite materials

A method is described for determining the elastic field in a finite isotropic region containing an isotropic circular inhomogeneity whose elastic constants differ from those of the rest of the region. The method is based on a combination of Muskhelishvili complex potentials and boundary collocation. The method is particularly useful for solving problems of practical interest in the field of composite materials. Two examples are given to illustrate this.