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It is shown that when a Burgers screw dislocation moves with velocity v it suffers a longitudinal contraction by the factor (1 - v2/c2)½, where c is the velocity of transverse sound. The total energy of the moving dislocation is given by the formula E=E0/(1 - v2/c2)½, where E0 is the potential energy of the dislocation at rest. Taylor dislocations behave in a qualitatively similar manner, complicated by the fact that both longitudinal and transverse displacements and sound velocities are involved.
F. C. Frank (Tue,) studied this question.