We consider the Cosserat continuum in its finite strain setting and discuss the dislocation density tensor as a possible alternative curvature strain measure in three-dimensional Cosserat models and in Cosserat shell models. We establish a close relationship (one-to-one correspondence) between the new shell dislocation density tensor and the bending-curvature tensor of 6-parameter shells.
@article{arxiv.1602.03421,
title = {On the dislocation density tensor in the Cosserat theory of elastic shells},
author = {Mircea Birsan and Patrizio Neff},
journal= {arXiv preprint arXiv:1602.03421},
year = {2016}
}