Abstract
Three-dimensional, elastic-plastic finite element analyses have been carried out to investigate the effects of biaxial loading on J-integrals and Q-values for shallow semi-elliptical surface flaws in wide plates. Direct tension and pure bending loading of up to about 10 times the yield strain were applied to models with linear elastic-power hardening and tripartite material behaviours. Crack depths were limited to 15 percent of the plate thickness. Differences were observed between the effects of biaxiality on J-strain behaviour for cracks in semi-infinite plates and those in finite width plates. The cracked semi-infinite geometry was considered more representative of structural applications. In this case, biaxial loading gave a large increase in J-integrals compared to uniaxial loading, but had negligible effect on constraint, as measured using the Q-value.
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Lee, M., Boothman, D. & Luxmoore, A. Effects of biaxial loading on crack driving force and constraints for shallow semi-elliptical surface flaws. International Journal of Fracture 98, 37–54 (1999). https://doi.org/10.1023/A:1018731604580
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DOI: https://doi.org/10.1023/A:1018731604580