A distributional approach to the geometry of dislocations at the mesoscale

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dc.creatorVan Goethem, Nicolas
dc.creatorDupret, F.
dc.date2007-03-25
dc.date.accessioned2026-07-07T07:53:57Z
dc.date.available2026-07-07T07:53:57Z
dc.descriptionWe develop a theory to represent dislocated single crystals at the mesoscopic scale by considering concentrated effects, governed by the distribution theory combined with multiple-valued kinematic fields. Our approach gives a new understanding of the continuum theory of defects as developed by Kroener (1980) and other authors. Fundamental 2D identities relating the incompatibility tensor to the Frank and Burgers vectors are proved under global strain assumptions relying on the geometric measure theory, thereby giving rise to rigorous homogenisation from mesoscopic to macroscopic scale.
dc.descriptionarticle soumis
dc.identifierhttps://arxiv.org/abs/physics/0703227
dc.identifierhttp://arxiv.org/abs/physics/0703227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126419
dc.subjectClassical Physics
dc.subjectMaterials Science
dc.subjectDifferential Geometry
dc.titleA distributional approach to the geometry of dislocations at the mesoscale
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