A distributional approach to the geometry of dislocations at the mesoscale

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We 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.
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Classical Physics, Materials Science, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/126419

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0703227
 http://arxiv.org/abs/physics/0703227

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arXiv