Wedge Dislocation in the Geometric Theory of Defects

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dc.creatorKatanaev, M. O.
dc.date2002-05-29
dc.date2003-04-19
dc.date.accessioned2026-07-07T02:45:40Z
dc.date.available2026-07-07T02:45:40Z
dc.descriptionWe consider a wedge dislocation in the framework of elasticity theory and the geometric theory of defects. We show that the geometric theory reproduces quantitatively all the results of elasticity theory in the linear approximation. The coincidence is achieved by introducing a postulate that the vielbein satisfying the Einstein equations must also satisfy the gauge condition, which in the linear approximation leads to the elasticity equations for the displacement vector field. The gauge condition depends on the Poisson ratio, which can be experimentally measured. This indicates the existence of a privileged reference frame, which denies the relativity principle.
dc.description14 pages, 2 ps figures, minor changes, added references
dc.identifierhttps://arxiv.org/abs/cond-mat/0205609
dc.identifierhttp://arxiv.org/abs/cond-mat/0205609
dc.identifierTheor.Math.Phys. 135 (2003) 733-744; Teor.Mat.Fiz. 135 (2003) 338-352
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19379
dc.subjectMaterials Science
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleWedge Dislocation in the Geometric Theory of Defects
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