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

Under the condition that all the perfectly plastic stress components at a crack tiP arethe functions ofθonly,making use of the Mises yield condition,steady-state movingequations and elastic perfectly-plastic constitutive equations,we derive the generallyanalytical expressions of perfectly plastic fields at a rapidly propagating plane-stress cracktip.Applying these generally analytical expressions to the concrete crack,we obtain theanalytical expressions of perfectly plastic fields at the rapidly propagating tips of,modesⅠandⅡplane-stress cracks.

Perfectly plastic fields at a rapidly propagating plane-stress crack tip

Under the condition that all the perfectly plastic stress components at a crack tip are the functions of only, making use of the Mises yield condition , steady-state moving equations and elastic perfectly-plastic constitutive equations, we derive the generally analytical expressions of perfectly plastic fields at a rapidly propagating plane-stress crack tip. Applying these generally analytical expressions to the concrete crack, we obtain the analytical expressions of perfectly plastic fields at the rapidly propagating tips of modes I and II plane-stress cracks.