The regularities of the motion of a one-dimensional
Frenkel-Kontorova dislocation in pure aluminum at helium temperatures are
studied. Computer simulation was carried out using the sine Gordon equation,
written in dimensionless variables. It is proven that when the transition to
dimensionless variables the discreteness of the model is preserved. The dependence
of the true values of stresses on deformation in the Euler variables, as well
as the velocity distribution of the dislocation fragments along the coordinate
for successive instants of time, are obtained. It is shown that under these
conditions dislocation motion is realized by quantum tunneling of the
dislocation bends. The quantum-mechanical estimate confirms the possibility of
quantum tunneling of the kink of dislocations in aluminum at low temperatures.
Cite this paper
Arakelyan, M. (2018). Analysis of the Motion of Frenkel-Kontorova Dislocations in Single Crystals of Aluminum with Allowance for the Peierls Barrier. Open Access Library Journal, 5, e4390. doi: http://dx.doi.org/10.4236/oalib.1104390.
Malygin, G.A. (2007) Plasticity and Strength of Micro-and Nanocrystalline Materials. Physics of the Solid State, 49, 1013-1033. https://doi.org/10.1134/S1063783407060017
Hosford, W.F. and Caddell, R.M. (2007) Metal Forming: Mechanics and Metallurgy. 3rd Edition, Cambridge University Press, Cambridge, 330 p. https://doi.org/10.1017/CBO9780511811111
Fogel, M.B., Trullinger, S.E., Bishop, A.R. and Krumhans, J.A. (1977) Dynamics of sine-Gordon Solitons in the Presence of Perturbations. Physical Review B, 15, 1578. https://doi.org/10.1103/PhysRevB.15.1578
Pustovalov, V.V. (2000) Effect of Superconducting Transition Low-Temperature Jump-Like Deformation in Metals and Alloys. Journal of Low Temperature Physics, 26, 515-535.
Petukhov, B.V. (1985) The Theory of Low-Temperature Plastic Strain Anomalies Caused by Tunneling of Kinks. Fizika Metallov i Metallowedenie, 60, 255-261.