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Solutions for propagating mode III cracks in elastic perfectly-plastic solids are obtained as the limit solutions for infinitesimal crack tip speed and infinitesimal linear strain-hardening. The solution for a perfectly plastic material by Chitaley and McClintock (1971, J. Mech. Phys. Solids 19, 147) is not obtained. A point above or below the crack plane will experience first a centred-fan slip l
