Hall–Petch Description of the Necking Point Stress

We posited that the grain size dependence of tensile necking stress, as determined by Considère criterion for plastic instability, is a more meaningful characteristic Hall–Petch (H–P) effect than yield stress or 0.2% proof stress. An inverse square-root on was derived from dislocation dynamics-based constitutive model. In this model, enters indirectly via evolution density. Model predictions were confirmed experimental data nickel and titanium.