Bonn 2001 – wissenschaftliches Programm
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GR: Gravitation und Relativitätstheorie
GR 12: Alternative Ans
GR 12.1: Fachvortrag
Mittwoch, 28. März 2001, 17:30–17:45, VII
An elastoplastic theory of dislocations as a physical field theory with torsion — •Markus Lazar — Institute for Theoretical Physics, University of Leipzig, Augustusplatz 10, D–04109 Leipzig
We consider the (static) elastoplastic theory of dislocations with torsion and moment stress in an elastoplastic material as a 3-dimensional translation gauge theory. We use a general teleparallel Yang-Mills type Lagrangian and an elastic Lagrangian with (an)isotropic constitutive laws. The translational part of the generalized affine connection is utilized to describe the theory of elastoplasticity in the framework of a translation gauge theory. We obtain a system of Yang-Mills field equations which express the balance of force and moment. For a screw dislocation, we discuss the stress field which is modified near the dislocation core due to the appearance of moment stress. Moreover, we discuss the analogies between the elastoplastic theory of a screw dislocation, a cosmic string and a magnetic vortex.