• T. MAALEM Civil Engineering Department, University of Batna, Algeria BP 266 RP 05000 Batna


Some of the 3D strain based finite elements are presented shortly. They have eight nodes per element, except for the condensed
one, whom have nine in the departure. Each of the nodes contains the three usual d.o.f., these elements were developed not
only for the study of the 3D problems but also for the analysis of thin and thick plates. Among its, one has a regular shape,
indeed the SBP8element (strain based parallelepiped 8 nodes) is presented in detail. Numerical examples show that it possesses
properties of high accuracy, is capable of passing the various patch tests, and does not exhibit extra zero energy modes. It is
free from locking for very thin plate analysis, and has better performance compared with his “congener” the conforming
displacement element and some other 3D elements.


T. MAALEM & al.
[5] Belarbi M.T. et Charif A., Nouvel élément secteur
basé sur le modèle de déformation avec rotation dans
le plan, Revue Européenne des Eléments Finis, Vol.7,
N04, pp. 439-458, Juin 1998.
[6] Belarbi M.T. et Charif A., Développement d’un nouvel
élément hexaédrique simple basé sur le modèle en
déformation pour l’étude des plaques minces et
épaisses, Revue Européenne des Eléments Finis, Vol.8,
2, pp. 135-157, 1999.
[7] Belarbi M.T. Développement de nouveaux éléments
finis basés sur le modèle en déformation. Application
linéaire et non linéaire. Thèse de Doctorat d’Etat,
Université de Constantine 2000 (Algrie)
[8] Maalem T., Investigation numérique des problèmes de
flexion de plaque par un élément fini
parallélépipédique basé sur le modèle en déformation,
mémoire de Magistère, Université de Constantine,
Algérie, 2002.
[9] M.T.Belarbi & T.Maalem., A New Parallelepiped
Finite Element For Thin and Thick Plates", ICCES,
Vol. 1, 7-8 October 2003, Asyut- Egypt.[1] Ashwell D.G., Sabir A.B. and Roberts T.M., Further
studies in the application of curved finite elements to
circular arches, IJMS Vol. 13, pp. 507-517, 1971
[2] Sabir A.B. and Ashwell D.G., A comparison of curved
beam finite elements when used in vibration problems,
Journal of Sound and Vibration, Vol.18, N°11, pp.
555-563, 1971.
[3] Sabir A.B. A new class of Finite Elements for plane
elasticity problems, CAFEM 7th, Int. Conf. Struct.
Mech. InReactor Technology, Chicago, 1983.
[4] Sabir A.B. and Salhi H.Y., A strain based finite
element for general plane elasticity in polar
coordinates, Res.Mechanica 19, pp. 1-16, 1986.

Comment citer
MAALEM, T.. PERFORMANCES OF THE 3D STRAIN BASED FINITE ELEMENTS. Courrier du Savoir, [S.l.], v. 11, mai 2014. ISSN 1112-3338. Disponible à l'adresse : >>. Date de consultation : 12 jui. 2020