Abstract

The topological current structure of dislocations is studied by means of decomposition of gauge potential in the 4-dimensional gauge field theory of dislocation and disclination continuum. The dislocations in defect continuum are globally classified in terms of winding numbers and locally characterized by Brouwer degrees and Hopf indices. It is shown that the topological dislocation current corresponds to the motion current of a set of strings, in which the strings are just the dislocation lines. And the topological dislocation current can be expressed as the cross product of the topological disclocation density and the velocity of the strings.

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