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Titre du document / Document title

Stiffness matrix of the four-node quadrilateral element in closed form

Auteur(s) / Author(s)


Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

Colorado school mines, dep. eng., Golden CO 80401, ETATS-UNIS

Résumé / Abstract

The stiffness matrix of a plane four-node quadrilateral finite element is given in closed form. When expressed as a FORTRAN subroutine and compared with the classical method of forming the stiffness matrix using Gaussian integration, the approach gives a CPU time speed-up of the order of 2-3 on a vector machine and of the order of 4-5 on a scalar machine. The technique used to generate the terms of the stiffness matrix made use of a computer algebra system which could clearly be extended to generate the matrices for other elements types

Revue / Journal Title

International journal for numerical methods in engineering    ISSN  0029-5981   CODEN IJNMBH 

Source / Source

1994, vol. 37, no6, pp. 1027-1038 (9 ref.)

Langue / Language


Editeur / Publisher

Wiley, Chichester, ROYAUME-UNI  (1969) (Revue)

Mots-clés anglais / English Keywords

Finite element method


Quadrilateral finite element


Mots-clés français / French Keywords

Méthode élément fini


Elément fini quadrilatéral


Mots-clés espagnols / Spanish Keywords

Elemento finito cuadrilateral


Localisation / Location

INIST-CNRS, Cote INIST : 11575, 35400004941671.0080

Nº notice refdoc (ud4) : 3968533

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