New notions of uniformity and homogeneity of Cosserat media
Jiménez Morales, Víctor Manuel y León, Manuel de . (2023) New notions of uniformity and homogeneity of Cosserat media. Journal of Mathematical Physics 64 (9)
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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.
The registered version of this article, first published in Journal of Mathematical Physics, is available online at the publisher's website: AIP Publising, https://doi.org/10.1063/5.0159469
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La versión registrada de este artículo, publicado por primera vez en Journal of Mathematical Physics, está disponible en línea en el sitio web del editor: AIP Publising, https://doi.org/10.1063/5.0159469
