Material Geometry of Binary Composites

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 18 May 2021Embargo end date: 01 May 2021 English Publisher:MDPI AGJournal:Symmetry, volume 13, page 892 (eissn: 2073-8994,

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Authors: Marcelo Epstein;

doi: 10.3390/sym13050892 , 10.48550/arxiv.2105.00341

arXiv: 2105.00341

Material Geometry of Binary Composites

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Abstract

The constitutive characterization of the uniformity and homogeneity of binary elastic composites is presented in terms of a combination of the material groupoids of the individual constituents. The incorporation of these two groupoids within a single double groupoid is proposed as a viable mathematical framework for a unified formulation of this and similar kinds of problems in continuum mechanics.

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Keywords

FOS: Physical sciences, Mathematical Physics (math-ph), mixtures, double groupoids, elasticity, 74E05 74E30, differential geometry, Mathematical Physics, dislocations

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