Markus Lazar 2002 J. Phys. A: Math. Gen. 35 1983 doi:10.1088/0305-4470/35/8/313
Markus Lazar1
Show affiliationsWe consider a static theory of dislocations with moment stress in an anisotropic or isotropic elastoplastic material as a T(3) gauge theory. We obtain Yang-Mills-type field equations which express the force and the moment equilibrium. Additionally, we discuss several constitutive laws between the dislocation density and the moment stress. For a straight screw dislocation, we find the stress field which is modified near the dislocation core due to the appearance of moment stress. For the first time, we calculate the localized moment stress, the Nye tensor, the elastoplastic energy and the modified Peach-Koehler force of a screw dislocation in this framework. Moreover, we discuss the straightforward analogy between a screw dislocation and a magnetic vortex. The dislocation theory in solids is also considered as a three-dimensional effective theory of gravity.
61.72.Bb Theories and models of crystal defects
Issue 8 (1 March 2002)
Received 9 October 2001
Published 15 February 2002
Markus Lazar 2002 J. Phys. A: Math. Gen. 35 1983
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