Dislocation Dynamics in a Crystal Lattice (Peierls-Nabarro) Relief

Details Dislocation Dynamics in a Crystal Lattice (Peierls-Nabarro) Relief Dislocation Dynamics in a Crystal Lattice (Peierls-Nabarro) Relief

2007-04-13

arxiv.org/abs/0704.1714v1

Nonlinear Sciences

Pattern Formation and Solitons

39 pages, 15 figures

Scientific paper

The theory of the dislocation motion in the periodic potential relief of the crystal lattice (the Peierls-Nabarro barriers) is reviewed. On the basis of the kink mechanism the temperature dependence of the flow stress is described for a wide class of materials. The theory of quantum mechanical dislocation tunnelling through the Peierls-Nabarro barriers is extended and compared with experimental data on the plasticity of alkali halides, BCC and HCP metals at low temperatures. The behavior of the flow stress at the range of athermic anomalies is modeled by changing the mechanism of the dislocation motion from the thermally activated hopping over the barriers to the quantum tunnelling through them. Some results of previous calculations are represented in a more explicit convenient for applications form. The pronounced effect of the switching between the normal and the superconducting states on the flow stress of metals is explained on the basis of the change in the dissipative properties of the electron subsystem affecting the dislocation motion.

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