Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers

Johannes Lankeit, Patrizio Neff, Frank Osterbrink

In this note we extend integrability conditions for the symmetric stretch tensor $U$ in the polar decomposition of the deformation gradient $\nabla \phi =F=RU$ to the non-symmetric ca…