Steady Crack Growth in Elastic-Plastic Work-Hardening Solids: Near-Tip Fields and Stress Discontinuity.

摘要

The near-tip stress and deformation fields of a steadily growing crack are studied for an elastic-plastic solid with power-law work-hardening. It is shown that the same Set of governing differential equations for the field quantities applies whether or not the plastic strain rate is assumed to he coaxial with the stress deviator, i.e, whether or not the usual plastic normality rule is used. Assuming continuous displacement and velocity fields, conditions of discontinuity are analyzed, and by means of numerical results it is shown that stress discontinuities do indeed exist when the elastic normality rule is relaxed. (MM).