On the Formation of Necks at Crack Tips under Plane Stress Conditions.
The conditions for necking are well defined through the theory of Hill [1]. These conditions are applied to elasto plastic linearly hardening Tresca.and v Mises materials for different hardening characteristics. The results suggest that necking developes for all hardening materials. Below a certain hardening the stresses normal to the necking region and just outside it decrease during the necking