11 citations · 31 across the 17 of their papers we have counts for
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math.DG2017
Material groupoids and algebroids
Marcelo Epstein, Manuel de Leon
Lie groupoids and their associated algebroids arise naturally in the study of the constitutive properties of continuous media. Thus, Continuum Mechanics and Differential Geometry i…
math.DG2017★ 5 cited
Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media
V. M. Jiménez, M. de León, M. Esptein
A Lie groupoid, called \textit{second-order non-holonomic material Lie groupoid}, is associated in a natural way to any Cosserat media. This groupoid is used to give a new definiti…
math.DG2007
Functionally Graded Media
Cedric M. Campos, Marcelo Epstein, Manuel de Leon
The notions of uniformity and homogeneity of elastic materials are reviewed in terms of Lie groupoids and frame bundles. This framework is also extended to consider the case Functi…