PRESENTATION OF TOW SABIR ELEMENT RESULTS WITH IRREGULAR SHAPES
Résumé
In 1985, Sabir developed two membrane finite elements having an additional nodal degree of freedom (DRILLING
ROTATION). The main objective of this important development is to contribute in modeling the complex structures having
only simple geometrical shape. In this paper, a new analytical integration expression is developed in order to model structures
have complex geometrical shape. It is of importance to know how these elements will behave when they have irregular shapes.
Références
[1] Sabir, A.B. (1984) strain based finite elements for the
analysis of shear walls, Proc.Int.Conf. on Tall
buildings, 447-453.Hong Kong University.
[2] Belarbi, M.T. (2000) Développement de nouveaux
éléments finis à modèle en déformation, application
linéaire et non linéaire. Thèse de Doctorat, Université
de Mentouri Constantine.
[3] Sedira, L. (2002) Contribution du modèle en
déformation dans l’analyse des plaques stratifiées
composites, thèse de Magister, Université Colonel El
Hadj Lakhdar Batna, Algerie.
[4] Sabir, A.B. (1985) A rectangular and triangular plane
elasticity element with drilling degrees of freedom,
Chapter 9 in proceeding of the 2nd international
conference on variational methods in engineering,
Southampton University, Springer-Verlag, Berlin, pp.
17-25.
[5] Sabir, A.B. et Salhi, H.Y. (1986), A strain based finite
element for general plane elasticity in polar
coordinates, Res. Mechanica 19, pp. 1-16.
[6] Ibrahimbegovic A., Frey F. et Rebora B., Une
approche unifiée de la modélisation des structures
complexes : les éléments finis avec degré de liberté de
rotation, LSC Rapport Interne 93/10, Ecole
polytechnique fédérale de Lausanne (Suisse), Juin
1993
[7] Taylor R.L., Simo J.C., Zienkiewicz O.C. and Chan
A.C., The patch test: A Condition for Assessing Finite
Element Convergence, IJNME, Vol. 22, pp. 39-62,
1986.
[8] MacNeal R. H. et Harder R. L., A refined four-noded
membrane element with rotational degrees of freedom,
C.S., Vol. 28, pp. 75-84, 1988.
[9] MacNeal R. H., A theorem regarding the locking of
tapered four-noded membrane elements, IJNME., Vol.
24, pp. 1793-1799, 1987
[10] Sze K.Y., Chen W. and Cheung Y.K., An efficient
quadrilateral plane element with drilling degrees of
freedom using orthogonal stress modes, C.S., Vol. 42,
N° 5, pp. 695-705, 1992.
[11] Timoshenko S. and Goodier J. N., Theory of Elasticity,
Mc Graw-Hill, New York, 1951.
[12] Ibrahimbegovic A, Taylor R.L. et Wilson E.L., A
robust quadrilateral membrane finite element with
drilling dégréés of freedom, IJNME, Vol. 30, pp.445-
457, 1990.
[13] Allman D.J., A quadrilateral finite element including
vertex rotations for plane elasticity analysis, IJNME,
Vol. 26, pp. 717-730, 1988.
[14] Sabir A.B., A rectangular and triangular plane
elasticity element with drilling degrees of freedom,
Chapter 9 in proceeding of the 2nd international
conference on variational methods in engineering,
Southampton University, Springer-Verlag, Berlin, pp.
analysis of shear walls, Proc.Int.Conf. on Tall
buildings, 447-453.Hong Kong University.
[2] Belarbi, M.T. (2000) Développement de nouveaux
éléments finis à modèle en déformation, application
linéaire et non linéaire. Thèse de Doctorat, Université
de Mentouri Constantine.
[3] Sedira, L. (2002) Contribution du modèle en
déformation dans l’analyse des plaques stratifiées
composites, thèse de Magister, Université Colonel El
Hadj Lakhdar Batna, Algerie.
[4] Sabir, A.B. (1985) A rectangular and triangular plane
elasticity element with drilling degrees of freedom,
Chapter 9 in proceeding of the 2nd international
conference on variational methods in engineering,
Southampton University, Springer-Verlag, Berlin, pp.
17-25.
[5] Sabir, A.B. et Salhi, H.Y. (1986), A strain based finite
element for general plane elasticity in polar
coordinates, Res. Mechanica 19, pp. 1-16.
[6] Ibrahimbegovic A., Frey F. et Rebora B., Une
approche unifiée de la modélisation des structures
complexes : les éléments finis avec degré de liberté de
rotation, LSC Rapport Interne 93/10, Ecole
polytechnique fédérale de Lausanne (Suisse), Juin
1993
[7] Taylor R.L., Simo J.C., Zienkiewicz O.C. and Chan
A.C., The patch test: A Condition for Assessing Finite
Element Convergence, IJNME, Vol. 22, pp. 39-62,
1986.
[8] MacNeal R. H. et Harder R. L., A refined four-noded
membrane element with rotational degrees of freedom,
C.S., Vol. 28, pp. 75-84, 1988.
[9] MacNeal R. H., A theorem regarding the locking of
tapered four-noded membrane elements, IJNME., Vol.
24, pp. 1793-1799, 1987
[10] Sze K.Y., Chen W. and Cheung Y.K., An efficient
quadrilateral plane element with drilling degrees of
freedom using orthogonal stress modes, C.S., Vol. 42,
N° 5, pp. 695-705, 1992.
[11] Timoshenko S. and Goodier J. N., Theory of Elasticity,
Mc Graw-Hill, New York, 1951.
[12] Ibrahimbegovic A, Taylor R.L. et Wilson E.L., A
robust quadrilateral membrane finite element with
drilling dégréés of freedom, IJNME, Vol. 30, pp.445-
457, 1990.
[13] Allman D.J., A quadrilateral finite element including
vertex rotations for plane elasticity analysis, IJNME,
Vol. 26, pp. 717-730, 1988.
[14] Sabir A.B., A rectangular and triangular plane
elasticity element with drilling degrees of freedom,
Chapter 9 in proceeding of the 2nd international
conference on variational methods in engineering,
Southampton University, Springer-Verlag, Berlin, pp.
Comment citer
T. BELARBI, M.; HAMADI, D..
PRESENTATION OF TOW SABIR ELEMENT RESULTS WITH IRREGULAR SHAPES.
Courrier du Savoir, [S.l.], v. 5, avr. 2014.
ISSN 1112-3338.
Disponible à l'adresse : >https://revues.univ-biskra.dz/index.php/cds/article/view/301>. Date de consultation : 20 avr. 2024
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