The two‐parameter fracture criterion based on the J‐A concept.

The present paper deals with the J‐A concept in two‐parameter elastic–plastic approaches of fracture mechanics. The cumulative damage rule in a solid is employed to construct the quantitative elastic–plastic J‐A fracture criterion. As a result, the constraint corrected elastic–plastic fracture toughness JmatC as a function of the crack‐tip constraint parameter A, the yield stress, the strain hardening exponent and the failure stress has been proposed. The significant effect of the strain hardening exponent on the normalized constraint corrected fracture toughness is observed. The value of the normalized constraint corrected fracture toughness decreases with the increase of the applied failure stress and the decrease of the crack aspect ratio to a certain values, and then it stabilizes. Highlights: The cumulative damage rule in a solid and the J‐A concept are employed.Quantitative two‐parameter J‐A fracture criterion is proposed.The constraint corrected fracture toughness is described as a function of crack‐tip constraint.The effect of the constraint parameter A is analyzed for some standard specimens. [ABSTRACT FROM AUTHOR]