Abstract
A new methodology for the construction of J-R curves for ductile materials, based upon the analytical integration of the P-v relation, is presented. This method is based on the Common and Concise Formats, and on a postulated crack growth law, that relates the amount of stable crack growth with plastic displacement. The model developed, denoted as C&C, reproduces quite well the experimentally obtained P-ν, Δa-ν and J-Δa curves. The results suggest that the amount of stable crack growth in a ductile material follows a power law behavior in its dependence with plastic displacement. This methodology may be used to evaluate instability conditions, through the adequate analytical treatment of the P-ν and J-Δa relations.
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