On the Equations of Motion of Crystal Dislocations

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.