Computational Technology Resources - CSETS

C.A. Felippa

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

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 3 COMPUTATIONAL MECHANICS FOR THE TWENTY-FIRST CENTURY 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 doi:10.4203/csets.3.4 purchase the full-text of this chapter 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 Abstract 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. purchase the full-text of this chapter (price £20) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £138 +P&P)
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