Publicación: New notions of uniformity and homogeneity of Cosserat media
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2023
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Atribución-NoComercial-SinDerivadas 4.0 Internacional
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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AIP Publising
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In this paper, we study internal properties of Cosserat media. In fact, by using groupoids and smooth distributions, we obtain three canonical equations. The non-holonomic material equation for Cosserat media characterizes the uniformity of the material. The holonomic material equation for Cosserat media permits us to study when a Cosserat material is a second-grade material. It is remarkable that these two equations also provide us a unique and maximal division of the Cosserat medium into uniform and second-grade parts, respectively. Finally, we present a proper definition of homogeneity of the Cosserat medium, which does not need to assume uniformity. Thus, the homogeneity equation for Cosserat media characterizes this notion of homogeneity.
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Categorías UNESCO
Palabras clave
Continuum mechanics, Granular materials, Lie algebras, Differential geometry, Differential topology, Algebraic structures, General topology, Group theory
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Centro
Facultad de Ciencias
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Matemáticas Fundamentales