An efficient method was developed for the analysis of limited plasticity at stress-raising features such as notches and holes in finite bodies. A network of stationary dislocations was used to simulate plasticity, and simple constant-displacement boundary elements formed the borders of the geometries. The notch or hole itself was implicitly included in the formulation by using specialized kernels for these features in an infinite plane; thereby improving the numerical efficiency. The cyclic plastic behaviour of an edge-notch in an infinite plane and a finite rectangular plate were analyzed under elastic-perfectly plastic, plane strain conditions. Examples were presented of the resultant stress state after stress redistribution and plastic shakedown.

Modelling Plasticity in Finite Bodies Containing Stress Concentrations using a Distributed Dislocation Method. P.M.Blomerus, D.A.Hills: Journal of Strain Analysis for Engineering Design, 1998, 33[4], 315-26