Abstract

Abstract— Energy dissipation rate, D, and crack tip opening angle (CTOA) have been related for large amounts of ductile crack growth in a fully plastic two‐dimensional model of real elastic plastic material. Several J‐type rising R‐curves have been constructed and related, some based on the cumulative energy dissipated and some as a characterising term that relates closely to the far‐field J contour value. These two meanings co‐exist but the relationship is geometry dependent. For deep notch bend (DNB) cases the non‐dimensional group Lα/r* (where L is normalised load, α is CTOA and r* defines the position of the instantaneous centre of rotation) governs the value of dJ. Certain DNB cases where R‐curves vary with size are resolved by this group rather than by CTOA itself whereas for centre‐cracked tension there is a higher value of CTOA than for DNB.

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