Abstract

Based on shock wave theory one of the authors derived the criterion of the micro-crack nucleation, namely the micro-crack nucleation is caused by the jump of the velocity along the intersected crossing line between two different stationary discontinuity bands characterized by vanishing velocity of an acceleration wave. In the previous paper, to consider dependence of the progress of ductile fracture of crystal solids on crystal orientations, the algorithm of acoustic tensors derived from the proposed model was built into finite element crystal plasticity model (FEPM) and the progresses of the ductile fracture in FCC bi-crystal and tri-crystal were analyzed. Then, the role of the crystal orientation and the grain boundary in the trigger of the transcrystalline fracture or intercrystalline fracture in the bi-crystal and also the role of the grain-boundary triple junction in the trigger of the ductile fracture in the tri-crystal were studied. In the present paper, the dependence of the ductile fracture progress on the grain-boundary is examined due to the FCC tri-crystal model consisted with 3 grains which are chacterized by single slip system, in-plane 4 slip systems and out-of-plane 4 slip systems.

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