A mathematical expression; a line or surface integral that encloses the crack front from one crack surface to the other, used to characterize the fracture toughness of a material having appreciable plasticity before fracture. The J-integral eliminates the need to describe the behaviour of the material near the crack tip by considering the local stress-strain field around the crack front; Jk is the critical value of the J-integral required to initiate growth of a pre-existing crack.
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