The application of two parameter approaches to describe crack tip stress fields has generally focused on power law materials which limits the range of applicability of such approaches. In this work we consider the applicability of a J-Q or J-A2 approach (the latter is designated here as the J-A approach) to describe the stress fields for power law materials and for materials whose tensile behaviour cannot be described by a simple power law. The predictions of the two parameter approaches are compared with full field finite-element predictions. Results are presented for shallow-cracked and deep-cracked tension and bend geometries, as these are expected to provide the expected range of constraint conditions in practice.

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