Plastic size-effects on a mode I loaded crack

Abstract eng:
Crack growth is investigated numerically using the strain-gradient plasticity theory of Gudmundson[1] in a plane small-strain visco-plastic formulation as adopted by Legarth and Niordson[2]. The J-integral[4] is evaluated along several paths showing that it is path independent up to the very near region of the cohesive crack tip, and the size of this region scales with the material length parameter of the gradient model in addition to the size of the fracture process zone. The distributions of the effective plastic strain and stress are also shown for both conventional and gradient enhanced cases. At the same amount of crack growth is the plastic strain level higher for the gradient enhanced case due to contribution from the gradients.

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