A comparison of crack-flank displacement fitting for estimating K with a path independent integral

Predicting crack growth under cyclic loading in applications usually requires the efficient extraction of stress intensity factors from finite element analyses of mixed mode situations. Two approaches to this end are examined: one, a competitive fitting procedure using crack-flank displacement data, the other, a path independent integral which can readily distinguish between modes. A protocol is established for comparing the two on a set of about forty test problems which have exact solutions. Analysis is via quarter point elements on a common sequence of three successively refined meshes for each problem. Results show that the path independent integral is more consistently accurate and reliably convergent, yet comparable in implementation effort.