In Part 1 of this paper we presented a mixed-enhanced approach to formulati
ng elements for application to geometrically linear problems. In the presen
t work we consider an extension to the geometrically nonlinear case. A mixe
d deformation gradient is presented and enhancements developed, resulting i
n a formulation which produces coarse mesh accuracy in bending dominated pr
oblems and locking-free response in the near incompressible limit. As in Pa
rt 1, variational stress recovery is permissible, due to the mixed fields p
resent. Representative simulations illustrate the performance of the formul
ation in the setting of incompressible hyperelasticity. (C) 2000 Published
by Elsevier Science Ltd. All rights reserved.