PERFECTLY PLASTIC STRESS FIELD AT A RAPIDLY PROPAGATING PLANE-STRESS CRACK TIP

Under the condition that all the perfectly plastic stress components at a crack tip are thefunctions of θ only,making use of the Tresca yield condition,steady-state movingequations and elastic perfectly-plastic constitutive equations,we derive the generallyanalytical expressions of perfectly palstic stress field at a rapidly propagating plane-stresscrack tip.Applying these generally analytical expressions to the concrete crack,we obtainthe analytical expressions of perfectly plastic stress field at the rapidly propagating tips ofmodels Ⅰ and Ⅱ plane-stress cracks.