摘要：The MITC4 shell element (Dvorkin E.N. and Bathe K.J., Engng. Computations, Vol. 1, pp. 77-88, 1984) is very successful and it provides excellent solutions for infinitesimal strain analyzes using either elastic or elasto-plastic material models in linear or nonlinear geometrical formulations. In (Dvorkin et al., Comput. Meth. Appl. Mechs. Engng., vol. 125, pp.17-40, 1995) the element formulation was extended for finite strain elasto-plastic analyzes and even tough the new element provides very good solutions it presents some room for improvements. In previous publications we presented a new shell element formulation, the MITC4-3D that we developed for finite strain analysis using the MITC4 strains interpolation and 3D constitutive relations (hyperelastic and elasto-plastic materials). Some of the basic features of our new element are: • The shell geometry is interpolated using mid-surface nodes and director vectors. • The node displacements and transverse shear strains are interpolated using the original MITC4 formulation. • For interpolating the director vectors special care is taken to avoid spurious director vector stretches. • Additional degrees of freedom are considered to include a linear thickness stretching. These thickness-stretching degrees of freedom are condensed at the element level. • The elasto – plastic formulation is developed following the work of Simo and co-workers: multiplicative decomposition of the deformation gradient tensor and maximum plastic dissipation (associate plasticity). • Special consideration is given to the formulation efficiency. In this paper we are going to discuss the basic features of the MITC4-3D element and present further verification / validation examples.
