A dislocation based method using generative algorithms to model notch geometries: Determination of Mode I SIFs

This Technical note presents a parametric algorithmic tool to generate two-dimensional notches allowing the use of the DDT to solve the problem of a crack emanating from an arbitrarily shaped notch subjected to Mode I loading. The numerical formulation of the DDT for assessing notches of any shape as well as the basic steps implemented within a graphical algorithm editor to create and discretise the notch geometry are described. Finally, the applicability and accuracy of the procedure is assessed by investigating V-notches, U-notches, semi-elliptical notches and dovetail-like notches. The tool proves to be a simple, general and efficient way of assessing Stress Intensity Factors (SIFs) for cracks emanating from notches with low computational cost and numerical modeling expertise in comparison with other numerical methods, as the Finite Element Method.