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math-ph2021
Double groupoids in the theory of material uniformity
Marcelo Epstein
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…
math-ph2021
Characteristic foliations of material evolution: from remodeling to aging
V. M. Jiménez, M. de León y M. Esptein
For any body-time manifold there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smoo…
math-ph2021
Material geometry of binary composites
Marcelo Epstein
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…