A nonsingular solution of the edge dislocation in the gauge theory of dislocations

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dc.creatorLazar, Markus
dc.date2002-08-19
dc.date2003-01-28
dc.date.accessioned2026-07-07T10:48:06Z
dc.date.available2026-07-07T10:48:06Z
dc.descriptionA (linear) nonsingular solution for the edge dislocation in the translational gauge theory of defects is presented. The stress function method is used and a modified stress function is obtained. All field quantities are globally defined and the solution agrees with the classical solution for the edge dislocation in the far field. The components of the stress, strain, distortion and displacement field are also defined in the dislocation core region and they have no singularity there. The dislocation density, moment and couple stress for an edge dislocation are calculated. The solution for the stress and strain field obtained here is in agreement with those obtained by Gutkin and Aifantis through an analysis of the edge dislocation in the strain gradient elasticity. Additionally, the relation between the gauge theory and Eringen's so-called nonlocal theory of dislocations is given.
dc.description26 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0208360
dc.identifierhttp://arxiv.org/abs/cond-mat/0208360
dc.identifierJ.Phys.A36:1415-1438,2003
dc.identifierdoi:10.1088/0305-4470/36/5/316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183763
dc.subjectMaterials Science
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA nonsingular solution of the edge dislocation in the gauge theory of dislocations
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