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On the Equations of Motion of Crystal Dislocations

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F.C. Frank. Proc. Phys. Soc. A 62 , 131 (1949).

It is shown that when a Burgers screw dislocation moves with velocity v it suffers a longitudinal contraction by the factor (1 – v2/c2)1/2, 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)1/2, 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.

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