F.C.Frank
H.H.Wills Phsical Laboratory

University of Bristol
M.S. received 25th August 1948, and in amended form 25th November 1948

On the Equations of Motion of Crystal Dislocations

On the Equations of Motion of Crystal Dislocations

Abstract

It is shown that when a Burgers screw dislocation moves with velocity v it suffers a longitudinal contraction by the factor
(1-[(v2)/( c2)]), where c is the velocity of transverse sound. The total energy of the moving dislocation is given by th formula
E = E0 /(1-[(v2)/( c2)])1/2, where E0 is the potential energy of the dislocation at rest. Taylor disloactions behave in a qualitatively similar manner, complicated by the fact that both longitudinal and transverse displacements and sound velocities are involved.


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On 29 Apr 2004, 21:41.