Screw dislocations in the field theory of elastoplasticity

Details Screw dislocations in the field theory of elastoplasticity Screw dislocations in the field theory of elastoplasticity

2002-03-04

arxiv.org/abs/cond-mat/0203058v2

Annalen Phys. 11 (2002) 635-649

Physics

Condensed Matter

Materials Science

19 pages, LaTeX, 2 figures, Extended version of a contribution to the symposium on "Structured Media'' dedicated to the memory

Scientific paper

10.1002/1521-3889(200210)11:9<63

A (microscopic) static elastoplastic field theory of dislocations with moment and force stresses is considered. The relationship between the moment stress and the Nye tensor is used for the dislocation Lagrangian. We discuss the stress field of an infinitely long screw dislocation in a cylinder, a dipole of screw dislocations and a coaxial screw dislocation in a finite cylinder. The stress fields have no singularities in the dislocation core and they are modified in the core due to the presence of localized moment stress. Additionally, we calculated the elastoplastic energies for the screw dislocation in a cylinder and the coaxial screw dislocation. For the coaxial screw dislocation we find a modified formula for the so-called Eshelby twist which depends on a specific intrinsic material length.

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