NON-LINEAR EFFECTS IN THE ELASTIC FIELD OF SINGLE DISLOCATIONS - 1. ITERATION SCHEME FOR SOLVING NON-LINEAR DISLOCATION PROBLEMS.

The paper deals with the extension of Willis' iteration scheme for the determination of the nonlinear elastic field produced by single dislocation loops in anisotropic bodies. The first part of the paper gives the Eulerian formulation of the boundary-value problem for both finite and infinite media taking into consideration the core boundary conditions. The uniqueness of the solutions to the successive linear boundary-value problems occurring in the iteration scheme, and the complementary conditions at infinity are discussed in some detail. The second part of the paper is devoted to the determination of the second-order elastic effects produced by the edge dislocation in an infinite anisotropic medium.