On the Onset of Plasticity

Abstract

The onset of plasticity can be assessed and related to ensuing plastic deformation up to the structural instability using one constitutive relationship that incorporates both behaviors of rapid work hardening (Stage 3) and the asymptotic leveling of stress (Stage 4). Results are presented wherein the work hardening variation of Stages 3 and 4 are found to be dependent through a constitutive relationship and useful in a Hall-Petch formulation of strength.