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arXiv · 1607.04043

Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies

V. M. Jiménez·M. de León·M. Epstein
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Abstract

A Lie groupoid, called \textit{material Lie groupoid}, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called \textit{material algebroid}, is used to characterize the uniformity and the homogeneity properties of the material. The relation to previous results in terms of $G-$structures is discussed in detail. An illustrative example is presented as an application of the theory.

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V. M. Jiménez, M. de León, M. Epstein. 2018-11-05. Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies. https://arxiv.org/abs/1607.04043

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