Configurational fracture toughness from the perfectly plastic field ahead of the tip of a sharp V-notch under longitudinal shear

Abstract

Abstract To be considered is an infinite elastic-perfectly plastic material with a sharp V-notch under longitudinal shear, and the closed-form solution of K I I I N -dominant field is presented for the general case of elastic–plastic boundary in small-scale yielding. The equivalent identity of the physical parameter S W , notch tip opening displacement (NTOD) and elastic energy release rate is established. The equivalent identity includes a characteristic length, which depends on the critical perfectly plastic field sizes, tip opening displacements and stress intensity factors of both sharp V-notch and crack.