Developpement d'un nouvel element hexaedrique simple base sur le modele en deformation pour I' etude des plaques minces et epaisses
Keywords:
Hexaedric element, three-dimensional elasticity, strain model, membrane, plate bending, transverse shearAbstract
In order to avoid using three-dimensional elements (hexaedric and prismatic) of higher order for the study of plate bending, a new hexaedric simple element with eight nodes, three degrees of freedom per node (U, V and W) based on the strain model, has been developed. This element is numerically more efficient than the displacement model. Its precision is assessed through a series of test-cases relative to thin and thick plate problems.
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References
[ACH 90] ACHARHABI A.,« Calcu1 des plaques minces et epaisses a !'aide des elements finis
tridimensionnels >>, Annates de 1'/TBTP W 486, septembre 1990.
[ACH 78] ACHARHABI A., Le calcul des plaques epaisses par des elements finis
tridimensionnels a nombre de n<~uds et forme variable, These de Doctoral 3e cycle,
Universite de Technologie de Compiegne, juin 1978.
[AHM 70] AHMAD S., IRONS B.M., ZIENKIEWICZ O.C., « Analysis of thick and thin shell
structures by curved elements>>, /JNME, Vol. 2, p. 419-451, 1970.
[ASH 71] ASHWELL D.G., SABIR A.B., ROBERTS T.M., «Further studies in the application
of curved finite elements to circular arches >>,Int. J. Mech. Sci. Vol. 13, p. 507-S 17, 1971.
[BAT 90] BATOZ J.L., DHATT G., Modelisation des structures par elements finis, Editions
Hermes, Paris, 1990.
[BAT 89] BATOZ J.L., LARDEUR P., «A discrete shear triangular nine dof element for the
analysis of thick to very thin plates >>, /JNME, Vol. 28, p. 533-560, 1989.
[BEL 98] BELARBI M.T., CHARIF A., <
deformation avec rotation dans le plan>>, Revue Europeenne des Elements Finis, Vol. 7,
W 4, p. 439-458, juin 1998.
[BEL 97] BELARBI M.T., CHARIF A., <
d'un element cubique simple base sur le modele de deformation >>, Premier Congres
Arabe de Ia Mecanique, Damas (Syrie) 1-3 juin, Vol. 2, p. 25-30, 1997.
[BEL 90] BELARBI M.T., Developpement d'algorithmes et elements dans Ia methode des
elements finis, these de Magister, Universite de Annaba (Algerie), juillet 1990.
[DER 90] DEROSA M.A., FRANCIOSI C., <
numerical comparisons with Finite Element Methods>>, Computers and Structures, Vol.
, w 5, p. 731-735, 1990.
[DES 74] DESHMUKH R. S., ARCHER R.R., <
plates >>, Journal of the Engineering Mechanics Division, EMS, p. 903-917, October
[DJO 90] DJOUDI M.S., <
analysis of structures>>, PhD thesis University of Walles College of Cardiff (G.B),
June 1990.
[GAL 76] GALLAGHER R.H., Introduction aux elements finis, Edition pluralis, 1976.
[GUE 93] GUENFOUD M., <
coques d'epaisseur quelconque >>, Annates de /'ITBTP N° 512, Mars-Avril, p. 25-52,
[KAN 82] KANT T., OWEN D.R.J., ZIENKIEWICZ O.C., <
bending element >>, Computers and Structures, Vol. 15, n° 2, p 177-183, 1982.
[KIK 86] KIKUCHI N., Finite Element Methods in mechanics, Cambridge University Press,
[MIN 51] MINDLIN R.D., << Influence of rotatory inertia and shear on flexural motions of
isotropic elastic plates >>, JAM, Vol. 18, p. 31-38, 1951.
[MIN 66] MINDLIN R.D., SCHACKNOW A., DERESIEWICZ H., <
rectangular plates>>, JAM, Vol. 23, W 78, p. 431-436, 1966.
[POZ 64] POZZATI P., <
in Cemento Armato >>, Politecnico di Miliano (ltalien), p. 133-159, 1964.
[PRY 70] PRYOR C.W., BARKER J.R.M., FREDERICK D., <
Analysis of Reissner plates >>, Journal of the Enginneering Mechanics Division, EM6, p.
-987, decembre 1970.
[REI 45] REISSNER E., <
elastic plates >>,JAM, Vol. 12, p. 169-177, 1945.
[SAB 86] SABIR A.B., SALHI H.Y., <
elasticity in polar coordinates >>, Res. Mechanica 19, p. 1-16, 1986.
[SAB 83] SABIR A.B., <>,
CAFEM 7'h, Int. Conf Struct. Mech. in Reactor Technology, Chicago, 1983.
in bending>>, IJMS, Vol. 10, p. 563-570, 1968.
[TAY 86] TAYLOR R.L., SIMO J.C., ZIENKIEWICZO.C., CHAN A.C.H., <
Condition for Assessing Finite Element Convergence>>, IJNME, Vol. 22, p. 39-62, 1986.
[TIM 59] TIMOSHENKO S., WOINOWSKY-KRIEGER S., Theorie des plaques et coques,
Dunod, 1959.
[WIL 86] WILSON E.l., HABffiULLAH A., Sap 80, <>,
Computers and Structures, Inc. Berkely California, 1986.
[ZIE 77] ZIENKIEWICZ O.C., TAYLOR R. L., The Finite Element Method, troisieme edition,
Me Graw-Hill, 1977.
