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.
Evaluation of Two-Parameter Approaches to Describe Crack Tip Fields in Engineering Structures
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Kamel, S, O’Dowd, NP, & Nikbin, KM. "Evaluation of Two-Parameter Approaches to Describe Crack Tip Fields in Engineering Structures." Proceedings of the ASME 2007 Pressure Vessels and Piping Conference. Volume 6: Materials and Fabrication. San Antonio, Texas, USA. July 22–26, 2007. pp. 3-14. ASME. https://doi.org/10.1115/PVP2007-26026
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