In this paper we derive a new finite element method for nonlinear shells. The
Hellan-Herrmann-Johnson (HHJ) method is a mixed finite element method for
fourth order Kirchhoff plates. It uses convenient Lagrangian finite elements
for the vertical deflection, and introduces sophisticated finite elements for
the moment tensor. In this work we present a generalization of this method to
nonlinear shells, where we allow finite strains and large rotations. The
geometric interpretation of degrees of freedom allows a straight forward
discretization of structures with kinks. The performance of the proposed
elements is demonstrated by means of several established benchmark examples
