On the dislocation density tensor in the Cosserat theory of elastic   shells
  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. 
Mircea Birsan and Patrizio Neff
math.AP