An overview of selected plate and shell FE models with graphic presentation of governing relations
Abstract
A survey of three forms (strong, weak and variational) of mathematical models is presented using expressive diagrams initiated in [3,10]. The primary and intermediate variables, governing field equations, constraint equations and variables specified by boundary conditions are components of the graphic representation of various FE (finite element) formulations. The attention is focused on linearly elastic plate element QUAD [9] for Mindlin-Reissner theory and shell elements EAS4-ANS, EAS7-ANS [1] based on CBRST (Continuum Based Resultant Shell Theory). In both cases the mixed FE models with the EAS (enhanced assumed strain) and ANS (assumed natural strain) concepts are used.
References
[2] U. Andelfinger, E. Ramm, D. Roehl. 2D- and 3D-enhanced assumed strain element method, In: E. Onate, D.R.J. Owen, eds., Proc. 3rd Int. Conference on Computational Plasticity, Fundamentals and Applications, Barcelona, April 1992. Pineridge Press, Swansea, 1992.
[3] C. Fellippa. Advanced Finite Element Methods (ASEN 5367), Spring 2003, Course materials. Department of Aerospace Engineering Sciences, University of Colorado at Boulder, http://titan.colorado.edu/courses.d/ AFEA.d/, 2003.
[4] M. Radwańska. Degenerated shell elements in the context of shell theories of first and second approximation, In: Proc. 5th Conference on Shell Structures. Theory and applications, Janowice, Oct. 1992.
[5] M. Radwańska, W. Gilewski. A survey of finite element for analysis of moderately thick shells. Finite Elements Anal. Design, 9 : 1-21, 1991.
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