A new methodology for the evaluation of the J-R curve

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-νand 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-Δarelations.