Phonon scattering, a dominant source of drag, is one of key issues to understand the dynamic behaviors of a dislocation. In this paper, it is found that a relativistic effect causes additional drag that is not ignorable when the dislocation's speed is comparable to the transverse shear wave speed. By considering the emission of lattice waves from the dislocation core, we theoretically derive an equation of dislocation motion wherein the relativistic effect is well considered in the frame of phonon scattering. Consequently, the relativistic drag force is characterized by two dimensionless constants that are newly defined in this study. Given that these constants depend on structural and oscillation properties of the dislocation core, a discrete nature of the core is well-reflected. Then, the solution of the equation, or the dislocation's speed, is compared with the result obtained by molecular dynamics simulation. Furthermore, the developed equation can explain a level-off behavior at high dislocation's speed by quantifying the relativistic drag force. Thus we can broaden our understanding of dislocation dynamics to fast-moving dislocations.
Bibliographical noteFunding Information:
We gratefully acknowledge the support from the Mid-Career Researcher Support Program (Grant No. 2019R1A2C2011312 ) of the National Research Foundation (NRF) of Korea and from the Meta-Structure Based Seismic Shielding Research Fund (Project No. 1.190100.01 ) of UNIST and Ulsan Metropolitan City . We also acknowledge with gratitude the supercomputing resources of the UNIST Supercomputing Center. Appendix
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering