# 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

- Mathematics
- 2021

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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