Abstract
An exact solution to the Frenkel-Kontorova equation for a one-dimensional dislocation under stress is obtained by numerical calculations, and is compared with some of approximate solutions which are calculated from a continuum model, a successive approach, the usual Peierls barrier model and the two-parabola approximation to a sinusoidal potential. The exact solution shows that i) the Peierls force is not an oscillatory but a monotonically decreasing function of the thickness of the boundary layer, and ii) of the above approximations, the usual Peierls potential barrier model is best, while the two-parabola approximation is worst. As examples of the Peierls force, an effective shear stress of the coherent twin boundary and an intrinsic coercive force of 180° Bloch domain wall are discussed.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
