En. Dvorkin et al., A FORMULATION OF THE MITC4 SHELL ELEMENT FOR FINITE STRAIN ELASTOPLASTIC ANALYSIS, Computer methods in applied mechanics and engineering, 125(1-4), 1995, pp. 17-40
A finite strain elasto-plastic formulation is developed for the MITC4
shell element. The developed formulation is based on Lee's multiplicat
ive decomposition of the deformation gradient and on the hyperelastic
expression of Von Mises flow rule expressed in terms of Hencky's strai
n tenser. The formulation incorporates thickness stretching degrees of
freedom that are condensed at the element level by imposing the class
ical 'in-layer' plane stress condition. A symmetric and consistent tan
gent stiffness matrix is also developed.