Stress resultant geometrically nonlinear shell theory with drilling rotations. II: Computational aspects
We discuss some details of the numerical implementation of the geometrically nonlinear shell theory presented in part I [see the foregoing entry]. Two possibilities to represent finite rotations, with an orthogonal matrix and with a rotation vector, are examined, along with their mutual relationship in both spatial and material description. The issues pertinent to the consistent linearization procedure corresponding to these rotation parameterizations are also carefully considered. The geometrically nonlinear method of incompatible modes is extended to the nonlinear shell theory under consideration, and used to provide a 4-node shell element with enhanced performance. A rather extensive set of numerical examples in nonlinear elastostatics is solved in order to corroborate the non-locking performance of the incompatible-mode-based shell elements.
geometrically nonlinear method of incompatible modes
scientific article; zbMATH DE number 881015
scientific article