Material geometry of binary composites
Marcelo Epstein
TL;DR
This paper introduces a geometric framework using double groupoids to characterize the uniformity and homogeneity of binary elastic composites in continuum mechanics.
Contribution
It proposes a novel double groupoid approach to unify the analysis of material properties in binary composites.
Findings
Unified geometric framework for composite analysis
Application of double groupoids in continuum mechanics
Potential for broader material characterization
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 geometric differential framework for a unified formulation of this and similar kinds of problems in continuum mechanics.
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