Abstract
By formulating the appropriate differential equations and boundary conditions in terms of an integral equation, an expression is derived for the displacement associated with an interacting dislocation and precipitate in an infinite matrix. The technique is applicable to anisotropic systems in which the precipitate possesses a stress-free transformation strain and elastic constants different from those of the matrix phase. Approximate solutions to the integral equation are made, and stress, strain, and interaction energy calculated for straight screw and edge dislocations situated near ellipsoidal and rectangular parallelepiped elastic inhomogeneities in an isotropic matrix.