Small scale yielding conditions for steep residual stress distribution

Small scale yielding conditions are generally used as a fracture mechanics parameter to assess the applicability of stress intensity factors. When a steep residual stress distribution exists near a crack tip, there is potential to deviate from the conditions, even for those that are satisfied by general elastic analysis. In this study, the features of the residual stress distribution shape which influence the scale of yielding are investigated by conducting numerical analysis considering elastoplastic behavior. Additionally, a simplified practical method to evaluate the condition is proposed when a steep residual stress distribution is present.