AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS

AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS An algorithm to calculate shape function values at specific points is presented. It applies to threedimensional serendipity elements with variable node numbers per side and, as a particular case, to plane and truss elements. The procedure is shown for the twodimensional case using the natural orthogonal reference system of the element and is then generalized to the threedimensional case. The source code of the described algorithms written in Fortran 77 is included. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0264-4401
DOI
10.1108/eb023824
Publisher site
See Article on Publisher Site

Abstract

An algorithm to calculate shape function values at specific points is presented. It applies to threedimensional serendipity elements with variable node numbers per side and, as a particular case, to plane and truss elements. The procedure is shown for the twodimensional case using the natural orthogonal reference system of the element and is then generalized to the threedimensional case. The source code of the described algorithms written in Fortran 77 is included.

Journal

Engineering ComputationsEmerald Publishing

Published: Jan 1, 1991

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