Evaluation of Critical Resolved Shear Stress for Systems with General Periodic Stress Fields

Abstract

Critical resolved shear stress under the absence of thermal activation for systems with general periodic stress fields is discussed. The integration of a dislocation force‐balance equation along a stable periodic dislocation reveals that the applied stress always balances with the average of the internal stress and, thus, the critical resolved shear stress is identified as the maximum possible average of the internal stress. The analysis becomes extremely simple if the dislocation is nearly straight.