Configurational force on a dynamic dislocation with localized oscillation

Abstract Upon employing the conservation theorem and continuum theory, configurational force on a singularity, or defect, is given by path-independent integral called J integral. According to elasticity around steadily moving dislocation equal Peach–Koehler acting independent of integration path. However, using discrete lattice dynamics method, we theoretically prove that not in practice even under uniform motion. This because generation phonons during In general, are generated upon localized oscillation dislocation, they dissipate energy from core; consequently, drag produced. As disturbs motion, smaller than stationary one, its deviation one corresponds force. this study, analytically derive for each mode adopting dislocation–phonon coordinates. We classify simply as symmetric anti-symmetric after assuming be defect having finite core width. Consequently, numerically calculated consideration nature core. particular, our study reveals mainly contributes limit high velocity. Furthermore, show resulting relation between frequency can reproduce velocity-stress curve. work expected contribute meso- macro-scale plasticity when material loaded extreme conditions transient motion assumed.