Yuri Bebikhov
Publications:
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Bebikhov Y. V., Semenova M. N., Abdullina D. U., Korznikova E. A., Dmitriev S. V.
The Frenkel – Kontorova Chain to Model Dislocation Dynamics in Relation to the Electroplasticity Effect
2026, Vol. 22, no. 3, pp. 593-610
Abstract
The electroplasticity effect involves reduced yield stress in deformed metals under pulsed
electric currents, unexplained by Joule heating alone. In coarse-grained metals, plastic deformation
primarily occurs via dislocation slip, modeled here using Frenkel –Kontorova kinks. This numerical
study explores how electric pulses affect dislocation mobility, comparing two mechanisms:
Joule heating localized at dislocations and electron wind transferring momentum. Key findings
show that, at lower temperatures, Joule heating enhances dislocation mobility more significantly,
while higher temperatures favor electron wind dominance. Within an intermediate temperature
range, both mechanisms contribute nearly equally to increased plasticity. These insights clarify
the interplay of thermal and electronic effects in electroplasticity, addressing long-standing debates
on its fundamental mechanisms. The results emphasize context-dependent dominance of
Joule heating versus electron wind, advancing theoretical models for electrically assisted metal
forming processes.
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Bebikhov Y. V., Semenova M. N., Abdullina D. U., Dmitriev S. V.
Moving Gap Discrete Breather in Biatomic Crystal
2025, Vol. 21, no. 3, pp. 287-299
Abstract
The biatomic crystal with CsCl structure is considered with the interatomic interactions
described by the $\beta$-Fermi-Pasta-Ulam-Tsingou potential. The case of a large difference in the
atomic masses of the components is analyzed when there is a gap in the phonon spectrum of
the crystal. A spatially localized large-amplitude vibrational mode, called the discrete breather
(DB), is found by applying a localization function to the delocalized nonlinear vibrational mode
(DNVM). The DNVM and consequently the DB have frequencies in the gap of the phonon
spectrum. It is shown that the DB can be set in motion using a physically motivated ansatz.
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