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AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS

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)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 January 1991

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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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ZAVARISE, G., VITALIANI, R. and SCHREFLER, B. (1991), "AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS", Engineering Computations, Vol. 8 No. 1, pp. 19-31. https://doi.org/10.1108/eb023824

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MCB UP Ltd

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AN ALGORITHM FOR GENERATION OF SHAPE FUNCTIONS IN SERENDIPITY ELEMENTS

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