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Computational Science, Engineering & Technology Series
ISSN 1759-3158
Edited by: B.H.V. Topping
Chapter 4

Recent Advances in Finite Element Templates

C.A. Felippa

Department of Aerospace Engineering and Centre for Space Aerospace Structures, University of Colorado, Boulder, CO, United States of America

Full Bibliographic Reference for this chapter
C.A. Felippa, "Recent Advances in Finite Element Templates", in B.H.V. Topping, (Editor), "Computational Mechanics for the Twenty-First Century", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 4, pp 71-98, 2000. doi:10.4203/csets.3.4
A finite element template is a parametrized algebraic form that reduces to specific finite elements by setting numerical values to the free parameters. Following an outline of high performance elements, templates for Kirchhoff Plate-Bending Triangles (KPT) with 3 nodes and 9 degrees of freedom are studied. A 37-parameter template is constructed using the Assumed Natural Deviatoric Strain (ANDES) approach. Specialization of this template includes well known elements such as DKT and HCT. The question addressed here is: can these parameters be selected to produce high performance elements? The study is carried out by staged application of constraints on the free parameters. The first stage produces element families satisfying invariance and aspect ratio insensitivity conditions. Application of energy balance constraints produces specific elements. The performance of such elements in a preliminary set of benchmark tests is reported.

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