PLANE-STRESS DYNAMIC PLASTIC FIELD NEAR A PROPAGATING CRACK TIP

In this paper the asymptotic solution to the plane stress dynamic plastic field surrounding a propagating crack tip is given. The perfectly plastic model and Mises yield condition as well as J//2 flow theory are adopted. The force of inertia is considered in the equations of motion. The asymptotic expansions of displacements, strains and stresses are given and solved for the dominant terms. The results show that strain possesses ln (A/r) singularity at the crack tip. Finally, the stress distribution surrounding the crack tip are given numerically.