Abstract
The crack-tip fields of elastoplastic fatigue crack growth with crack closure are studied and correlated to the ΔJ-integral. Computational results confirmed that the singularity of the effective stress ranges of the opening process reduces with increasing crack closure, whereas the effective stress ranges from the closing process possess the known HRR solution form. The far-field ΔJeff-integral can be used to characterize the crack-tip field stress in the closing process, which is not affected by the loading ratio and by the path dependence of the ΔJ-integral. Based on extensive FEM computations, an estimation formula for the effective ΔJeff-integral was proposed for various loading ratios and plastic hardening materials. The in-plane constraint effects in fatigue crack growth can be quantified based on the J−Q concept of elastoplastic fracture mechanics, within the frame of ΔJeff-Q characterization. The relationship between Q and the transverse stress defined in the closing processes was established for a quantitative description of the crack tip constraint.
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