20 pages, 5 figures.-- MSC classes: 74B20 (Primary), 58H05 (Secondary), 53C10
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 Functionally Graded Media, which allows us to obtain some homogeneity conditions.
This work has been supported through a grant of the MEC, Ministerio de Educación y Ciencia (Spain), project MTM2007-62478. The third author acknowledges the MEC for an FPI grant.
Peer reviewed