Mode i and mixed mode fields with incomplete crack tip plasticity

Plane strain slip line _elds\ in which plasticity does not fully surround the crack tip have been developed for mode I and mixed mode I:II cracks under contained yielding[ Analytical solutions have been assembled using slip line theory for the plastic sectors and semi!in_nite wedge solutions for the elastic sectors[ These solutions are compared with _nite element solutions based on modi_ed boundary layer formulations[ The analytical solutions agree well with numerical solutions\ and form a family of _elds with incomplete plasticity around the crack tip[ 0887 Elsevier Science Ltd[ All rights reserved[