On the fundamentals of the three-dimensional translation gauge theory of dislocations

Understand

We propose a dynamic version of the three-dimensional translation gauge theory of dislocations.

• In our approach, we use the notions of the dislocation density and dislocation current tensors as translational field strengths and the corresponding response quantities (pseudomoment stress, dislocation momentum flux).
• We derive a closed system of field equations in a very elegant quasi-Maxwellian form as equations of motion for dislocations.
• In this framework, the dynamical Peach-Koehler force density is derived as well.