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Advances in Quadrilateral Shell Elements with Drilling Degrees of Freedom

  • Stephan KuglerEmail author
  • Peter A. Fotiu
  • Justin Murin
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

A unique derivation of quadrilateral shell elements with six degrees of freedom at each node is presented. The theoretical and numerical formulation is based on the combination of a membrane element with drilling degrees of freedom and a shear deformable plate element. The predictive quality and the computational efficiency is improved by applying multifield variational principles in connection with suitable assumed strain fields. The resulting element formulation does not require any Gaussian quadrature since all parts of the stiffness matrix can be integrated analytically. Furthermore, the derivation is generalized to geometrical and physical nonlinearities according to a corotational updated Lagrangian description.

keywords

Quadrilateral shell element Multifield variational principles 

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Notes

Acknowledgments

This work has been supported by Grant Agency VEGA No. 1/0093/10

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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Applied and Numerical MechanicsUniversity of Applied Sciences Wiener NeustadtWiener NeustadtAustria
  2. 2.Department of Mechanics, Faculty of Electrical Engineering and Information TechnologySlovak University of Technology in BratislavaSlovak RepublicBratislava

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