Plane strain slip line fields for a range of elastic-plastic contained yielding problem have been constructed. These include cracks in homogeneous materials subject to both model I and mixed mode loadings. Fields have also been constructed for cracks on the interface between a rigid substrate and a perfectly plastic material, subject to mixed mode loadings which may lead to matrix failure. On the plane of maximum hoop stress, fields for non hardening and moderate hardening rates can be interpreted as belonging to a single family which differ by a hydrostatic term (Q), but are deviatorically similar. The fracture resistance of these configurations can thus be unified by a constraint based fracture toughness relation (J-Q).
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