Dislocation Vibration: Effective Mass and Line Tension

The equation of motion of a dislocation is derived on the basis of the Peierls model. From the equation the mass of a kink is calculated and the interaction between kinks is obtained including the effect of retardation. The mass and the line tension of a vibrating dislocation of infinite length are found to depend on both the frequency and the wave length. It is shown that a resonance scattering takes place for a transverse phonon incident obliquely on a screw dislocation. For a pinned dislocation the use of the concepts of the line tension and the mass is not justified near the pinning points.

[1]  J. D. Eshelby,et al.  The velocity of a wave along a dislocation , 1966 .

[2]  B. Pegel.  Strahlungslose Eigenschwingungen von Versetzungen , 1966 .

[3]  G. Schottky.  Zur Anwendung des PEIERLSSCHEN Modells auf schwach gekrümmte Versetzungen , 1964, 1964.

[4]  J. D. Eshelby.  The interaction of kinks and elastic waves , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[5]  F. Nabarro.  The interaction of screw dislocations and sound waves , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  F. Frank.  On the Equations of Motion of Crystal Dislocations , 1949 .