A theoretical basis was presented for the link between the harmonic functions and the method of images, which was effectively used in Head's analysis of dislocation/boundary interactions. The solution of the displacement field of an edge dislocation near to a plane surface was reported, and the profiles of its boundary displacements were illustrated.

The Role of Harmonic Functions in Dislocation–Boundary Interactions by the Method of Images. Y.T.Chou, C.S.Pande, R.A.Masumura: Materials Science and Engineering A, 2007, 452-453, 99-102