Ce. Turner et O. Kolednik, APPLICATION OF ENERGY-DISSIPATION RATE ARGUMENTS TO STABLE CRACK-GROWTH, Fatigue & fracture of engineering materials & structures, 17(10), 1994, pp. 1109-1127
Energy dissipation rate, D, and crack tip opening angle (CTOA) have be
en related for large amounts of ductile crack growth in a fully plasti
c two-dimensional model of real elastic plastic material. Several J-ty
pe rising R-curves have been constructed and related, some based on th
e cumulative energy dissipated and some as a characterising term that
relates closely to the far-field J contour value. These two meanings c
o-exist but the relationship is geometry dependent. For deep notch ben
d (DNB) cases the non-dimensional group L alpha/r (where L is normali
sed load, alpha is CTOA and r defines the position of the instantaneo
us centre of rotation) governs the value of dJ. Certain DNB cases wher
e R-curves vary with size are resolved by this group rather than by CT
OA itself whereas for centre-cracked tension there is a higher value o
f CTOA than for DNB.