We present a general geometrical theory of uniform bodies which includes three-dimensional Cosserat bodies, rods and shells as particular cases. Criteria of local homogeneity are given in terms on connections.
@article{107580,
author = {Marcelo Epstein and Manuel de Le\'on},
title = {Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {267-280},
zbl = {0881.73003},
mrnumber = {1441398},
language = {en},
url = {http://dml.mathdoc.fr/item/107580}
}
Epstein, Marcelo; de León, Manuel. Uniformity and homogeneity of elastic rods, shells and Cosserat three-dimensional bodies. Archivum Mathematicum, Tome 032 (1996) pp. 267-280. http://gdmltest.u-ga.fr/item/107580/
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