There is increasing interest in the use of dislocation methods for stress analysis. In a recent paper, McKellar, Hills, and Sackfield presented a method for obtaining the stress field induced by a triangular area of constant dislocation density. The current paper describes a simplification of the formulae, which is more robust and easier to implement. This new formulation easily extends to any polygon.
McKellarD. K.HillsD. A.SackfieldA.Modelling plasticity using strain nuclei: Discretization of the dislocation field by uniform trianglesJ. Strain Analysis, 2003, 38 (2), 95–102.
2.
HillsD. A.LimmerL.Modelling plasticity using strain nuclei In Proceedings of the Fourth International Conference on Modern practice in stress and vibration analysis, Nottingham, 5–7 September 2000, pp. 445–457 (EMAS Limited, Solihull).
