Perfectly plastic stress field at a rapidly propagating plane-stress crack tip (Q1082167)

Under the condition that all the perfectly plastic stress components at a crack tip are functions of \(\theta\) only, making use of the Tresca yield condition, steady-state moving equations and elastic perfectly-plastic constitutive equations, we derive at the general analytical expressions for the perfectly plastic stress field at a rapidly propagating plane- stress crack tip. Applying these general analytical expressions to the concrete crack, we obtain analytical expressions for the perfectly plastic stress field at the rapidly propagating tips of models I and II plane-stress cracks.