Classification of Material G-structures

2004/01/28 by David Marín, David Marin, Manuel de León +3
Engineering · Materials Science · Mathematics · #Composite Material Mechanics #Elasticity and Material Modeling #Nonlocal and gradient elasticity in micro/nano structures #math.DG #msc:53C10 #msc:74B20

paper · pdf · doi:10.48550/arxiv.math/0401393

arxiv created 2004/01/28 · arxiv updated 2009/12/01

Abstract

A geometrical interpretation of the G-structures associated to elastic material bodies is given. In addition, characterizations of their integrability are obtained. Since the lack of integrability is a geometrical measure of the lack of homogeneity, the corresponding inhomogeneity conditions are obtained

Citations

• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations

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