Formulation of the plastic source method for plane inelastic problems Part 2: Numerical implementation for elastoplastic problems

Abstract

In Part 1 of this paper, Green's function representation for the residual stress, arising from any plane inelastic strain distribution under no applied load, has been given. In Part 2 (i.e., the current paper) we focus our attention to the plastic strain arising in plane elastoplastic problems subject to applied loads. A numerical procedure, based on the Green's function approach, to determine the unknown plastic strain distribution under the applied load is established. The numerical result for an elastoplastic steady crack growth problem demonstrates, overwhelmingly, the advantage of the proposed method over the finite element method approach for the same problem.