Competition between brittle fracture and plastic collapse in the failure of thin rectangular panels

A centre-cracked panel of elastic-plastic material of unit thickness is loaded remotely by an uniaxial traction acting along its longitudinal axis. Making use of the Dugdale-Barenblatt model, the size of the plastic zones ahead of the crack tips can be obtained by equilibrium considerations. Connected to , a generalised elastic-plastic stress intensity factor K is defined which, as 0, approaches the ordinary elastic one. Once the critical values W_c or K_c at the onset of the unstable propagation of the crack have been specified, the residual-strength curves for plane stress state can be easily deduced. Moreover, conditions are sought for which ductile fracture, brittle fracture or plastic collapse takes place.