Elastic fields of interacting elliptic inhomogeneities

This paper presents a method for the calculation of two!dimensional elastic _elds in a solid containing any number of inhomogeneities under arbitrary far _eld loadings[ The method called {pseudo!dislocations method|\ is illustrated for the solution of interacting elliptic inhomogeneities[ It reduces the interacting inhomogeneities problem to a set of linear algebraic equations[ Numerical results are presented for a variety of elliptic inhomogeneity arrangements\ including the special cases of elliptic holes\ cracks and circular inhomogeneities[ All these complicated problems can be solved with high accuracy and e.ciency