The Peierls Stress of Dislocations: An Analytic Formula

Abstract

A simple and rigorous analytic formula is derived for the Peierls stress of a dislocation within the Peierls-Nabarro model. This is both a generalization and a correction of the previously known formula valid only for wide dislocations. Our formula is shown to have quantitative predictive capabilities, and to permit estimation of the Peierls stress directly from the generalized stacking fault energy surface, for both narrow and wide dislocations.