An algorithm for generation of shape functions in serendipity elements

G. Zavarise; R. Vitaliani; B. Schrefler

doi:10.1108/eb023824

An algorithm for generation of shape functions in serendipity elements

G. Zavarise, R. Vitaliani, B. Schrefler

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	19-31
Number of pages	13
Journal	Engineering Computations
Volume	8
Issue number	1
DOIs	https://doi.org/10.1108/eb023824
State	Published - Jan 1 1991

ASJC Scopus subject areas

Software
Engineering(all)
Computer Science Applications
Computational Theory and Mathematics

Access to Document

10.1108/eb023824

Cite this

@article{d5c0d2d1dc2c41019af70f4aae0e01c1,

title = "An algorithm for generation of shape functions in serendipity elements",

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.",

author = "G. Zavarise and R. Vitaliani and B. Schrefler",

year = "1991",

month = jan,

day = "1",

doi = "10.1108/eb023824",

language = "English (US)",

volume = "8",

pages = "19--31",

journal = "Engineering Computations",

issn = "0264-4401",

publisher = "Emerald Group Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - An algorithm for generation of shape functions in serendipity elements

AU - Zavarise, G.

AU - Vitaliani, R.

AU - Schrefler, B.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026118089&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026118089&partnerID=8YFLogxK

U2 - 10.1108/eb023824

DO - 10.1108/eb023824

M3 - Review article

AN - SCOPUS:0026118089

SN - 0264-4401

VL - 8

SP - 19

EP - 31

JO - Engineering Computations

JF - Engineering Computations

IS - 1

ER -

An algorithm for generation of shape functions in serendipity elements

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this