The first part of this paper reviews the adequacy of simple estimation procedures for predicting the crack growth and failure behavior of cracked structures. These simple methods include: J-estimation schemes (where five different schemes are presented including two new methods), the R6 approach, and the VR-curve technique. The second part of the paper discusses methods for predicting elastic-plastic fracture under conditions where the simple schemes are not applicable. This includes a discussion of integral parameters, mainly focusing on the T*-integral, and the local (or damage) based approaches. These two approaches are required where the degradation near a crack tip depends on the history of damage accumulation.
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