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- Publisher
- Wiley
- Copyright
- Copyright © 1992 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- DOI
- 10.1002/nme.1620350104
- Publisher site
- See Article on Publisher Site
Abstract
A non‐linear 9‐node stress resultant shell finite element with six degrees of freedom per node is formulated. The material non‐linearity is based on an implicit integration scheme using the von Mises yield criterion and linear isotropic bardening. The small strain geometric non‐linearity is formulated using the polar decomposition theorem of continuum mechanics via a corotational updated Lagrangian method, which represents finite rotations with accuracy. Reduced integration is used to remove locking and calculate the stresses at their optimal stress accuracy points. A practical procedure is employed to stabilize the troublesome spurious zero energy modes. A number of tests covering the non‐linear material and geometry ranges and buckling show the good performance of the new element.
Journal
International Journal for Numerical Methods in Engineering – Wiley
Published: Jun 30, 1994