Relationships between the J-integral and the crack opening displacement for stationary and extending cracks

Abstract R elationships between the J-integral and the crack opening displacement δt are obtained by exploiting the dominance of the Hutchinson-Rice-Rosengren singularity in the crack-tip region. The coefficient dn that relates J to δt, is dependent on the material deformation properties and is independent of crack configuration under small-scale yielding conditions. For low hardening materials, dn appears to be configuration dependent in the fully yielded state. Similarly, the slope of the J-resistance curve is relatable to an operationally defined crack opening angle if J-controlled crack growth conditions are met. These relationships are corroborated by finite element results for the complete regime of elastic-plastic deformation and experimental data for A533B steels, HY-80 steels and several other ductile metals.

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