Abstract
The plastic zones at crack tips play a significant role in fracture behaviors of materials. In this paper, a semi-analytic solution is proposed for the plastic zone size of cracks in an elastic-perfectly plastic half-space under prescribed loading. This solution also considers the subsurface stress distribution influenced by the plastic zones at crack tips. The cracks can be treated as a distribution of edge dislocations with unknown densities by using the distributed dislocation technique. In order to calculate the plastic zone sizes of crack tips, two stripes ahead of crack tips are introduced as plastic zones based on the Dugdale model of small scale yielding. The numerical values can be determined by canceling the stress intensity factor due to the closure stress and that due to the applied load. It is noted that the plastic zone sizes are affected by the crack length and depth, yield strength of substrates and loading conditions.
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