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.
An alghoritm for generation of shape function in serendipity elements
ZAVARISE, GIORGIO;VITALIANI, RENATO;SCHREFLER, BERNHARD
1991
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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