Material Geometry of Binary Composites

@article{Epstein2021MaterialGO,
  title={Material Geometry of Binary Composites},
  author={Marcelo Epstein},
  journal={Symmetry},
  year={2021},
  volume={13},
  pages={892}
}
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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Double groupoids in the theory of material uniformity
The use of double groupoids and their associated double Lie algebroids and characteristic distributions is proposed for the description and analysis of continuous media that carry two different…

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