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Journal cover: Engineering Computations

Engineering Computations

ISSN: 0264-4401

Online from: 1984

Subject Area: Mechanical & Materials Engineering

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AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS


Document Information:
Title:AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS
Author(s):G. ZAVARISE, (Dept. of Civil Engineering, University of Padova, Via Marzolo 9, 35131 Padova, Italy), R. VITALIANI, (Dept. of Civil Engineering, University of Padova, Via Marzolo 9, 35131 Padova, Italy), B. SCHREFLER, (Dept. of Civil Engineering, University of Padova, Via Marzolo 9, 35131 Padova, Italy)
Citation:G. ZAVARISE, R. VITALIANI, B. SCHREFLER, (1991) "AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS", Engineering Computations, Vol. 8 Iss: 1, pp.19 - 31
Keywords:Serendipity elements, Shape functions
Article type:General review
DOI:10.1108/eb023824 (Permanent URL)
Publisher:MCB UP Ltd
Abstract:An algorithm to calculate shape function values at specific points is presented. It applies to three-dimensional serendipity elements with variable node numbers per side and, as a particular case, to plane and truss elements. The procedure is shown for the two-dimensional case using the natural orthogonal reference system of the element and is then generalized to the three-dimensional case. The source code of the described algorithms written in Fortran 77 is included.


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