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A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains. (English) Zbl 0861.73068
A finite shell element for large deformations is presented based on extensible director kinematics. The essential feature is an interface to arbitrary three-dimensional material laws. The nonlinear Lagrangian formulation is based on the three-field variational principle, parametrized with the displacement vector, enhanced Green-Lagrangian strain tensor and second Piola Kirchhoff stress tensor. A number of example problems describing large deformation as well as finite strain applications are presented. Compressible and incompressible hyperelastic materials of the St. Venant-Kirchhoff, neo-Hookean and Mooney-Rivlin type are particularly used.

74S05 Finite element methods applied to problems in solid mechanics
74K15 Membranes
74B20 Nonlinear elasticity
Full Text: DOI
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