### 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-[(v^{2})/( c^{2})]), where c is the velocity of transverse
sound. The total energy of the moving dislocation is given by th
formula

E = E_{0} /(1-[(v^{2})/( c^{2})])^{1/2}, where E_{0}
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.

File translated from T_{E}X by T_{T}H, version 2.00.

On 29 Apr 2004, 21:41.