Un nouvel element fini de coque axisymetrique semi-epaisse

Authors

  • Jean-Pierre Faye Laboratoire de M~canique des Structures EN SAM- 151, Bd de l'Hopital 75013 PARIS
  • Maurice Touratier Laboratoire de M~canique des Structures EN SAM- 151, Bd de l'Hopital 75013 PARIS

Keywords:

axisymmetric shell, transverse shear, finite element, locking edge effects

Abstract

A new finite element is proposed to analyze axisymmetric semi-thick shells in elasticity and for small displacements. The element uses a new model for plates and shells due to Touratier [TOU 91-92 a-b]. All strains are non-linear in respect to the thickness coordinate. The element has three nodes and ten degrees of freedom, is of CJ continuity for the transverse displacement, and CO for the membrane displacemenJ and the shear rotation. Finally, an introduction to the edge effects for axisymmetric shells is presented. The study has shown some surprises concerning the hard clamped edge, in comparison with a twodimensional eight node isoparametric solid finite element model used in reference : the transverse shear stress is not maximum at the clamped edge.

 

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References

[ABA 91] ABAQUS, Version 4.9, User's Manual, Hibbit, Karlsson and Sorensen, Inc.

(1991)

[AXE 87] AXELRAD, E.L., "Theory of Flexible Shells". North Holland (1987)

[BAT 90] BATOZ, J.L. et DHATT, G., "Modelisation de structures par elements finis", vol.

Hermes, Paris (1990)

[BAT 92] BATOZ, J.L. et DHATT, G., "Modelisation de structures par elements finis", vol.

Hermes, Paris (1992)

[BER 80] BERT, C.W., in "Analysis and Performance of Composites". Edited by L.J.

Broutman. Wiley and Sons, New York (1980)

[ELI 87] ELISHAKOFF, I. and IRRETIER, H., "Refmed Dynamical Theories of Beams,

Plates and Shells and their Applications". Proceedings of the Euromech-Colloquium 219.

Springer-Verlag, Berlin (1987)

[FAY 93] FAYE, J.P., "Elements fmis ratfmes de coques axisymetriques et de poutres

courbes". These Universite P. Sabatier, Toulouse, (1993 -a paraitre)

[GER 86] GERMAIN, P., "MCcanique". Ellipse, Paris ( 1986)

[GIL 91] GILEWSKI, W. and RADWANSKA, M. "A survey of Finite Element Models for

the Analysis of Moderately Thick Shells". Finite Elements in Analysis and Design 9, 1-21

(1991)

[GUl 92] GUIMARAES, J.E.F. and HEPPLER, G.R., "On Trigonometric Basis Functions

for Curved Beam Finite Elements". Computers and Structures, Vol. 45, n°2, 405-413 (1992)

[HAN 84] HANSEN, J.S. and HEPPLER, G.R., "A Mindlin Shell Element that Satisfies

Rigid-Body Requirements". AIAA Journal, Vol. 23, n°2, 288-295 (1984)

[HRA 84] HRABOK, M.M. and HRUDEY, T.J., "A Review and Catalogue of Plate Bending

Finite Elements". Computers and Structures, 19(3), 479-495 (1984)

[JAN 87] JANG, J. and PINSKY, P.M., "An Assumed Covariant Strain Based 9-Node Shell

Element". International Journal for Numerical Methods in Engineering, Vol. 24, 2389-2411

(1987)

[KAR 87] KARDESTUNCER, H., "Finite Element Handbook". Mac Graw Hill ( 1987)

[KER 90] KERBER, T., "Revue des E!Cments Finis de Coques au Travers des Phenomenes

de Verrouillage et de leurs Remi:des". La Recherche Aerospatiale, Vol. 3, 45-76 (1990)

[NOO 89] NOOR, A.K., BELYTSCHKO, T. and SIMO, J.C., "Analytical and

Computational Models of Shells". ASME-CED, Vol. 3 ( 1989)

[NOO 90] NOOR, A.K., "Bibliography of Monographs and Surveys on Shells". ASME

Applied Mechanic Review, Vol. 43, n° 9, 223-224 (1990)

[OLI 86] OLIVER, J. and ONATE, E., "A Total Lagrangian Formulation for the

Geometrically Nonlinear Analysis of Structures Using Finite Elements. Part II : Arches,

Frames and Axisymmetric Shells". International Journal for Numerical Methods in

Engineering

[POL a paraitre] POUT, 0., TOURATIER, M. and LORY, P., "A New Eight Node

Quadrilateral Shear Bending Plate Finite Element". International Journal for Numerical

Methods in Engineering.

[REI 85] REISSNER, E., "Reflections on the Theory of Elastic Plates". ASME Applied

Mechanics Review, 38, 1453-1464 (1985)

[TOU 88] TOURATIER, M., "A Refmed Theory of Thick Composite Plate". Mechanics

Research Communications, Vol. 15 ( 4 ), 229-236 (1988)

[TOU 89] TOURATIER, M., "Un modele simple et efficace en mecanique des structures

composites". C.R. Academic Sciences, Paris, t309, sene II, 933-938 (1989)

[fOU 91) TOURATIER, M., "An Efficient Standard Plate Theory". International Jownal of

Engineering Sciences, Vol. 29, n°8, 901-916 (1991)

[fOU 92a) TOURATIER, M., "A Generalization of Shear Defonnation Theories for

Axisynunetric Multilayered Shells". International Jownal of Solids and Structures, Vol. 29,

n°1l, 1379-1399 (1992)

[fOU 92b) TOURATIER, M., "A Refined Theory of Laminated Shallow Shells".

International Journal of Solids and Structures, Vol. 29, n°ll, 1401-1415 (1992)

[YAN 89) YANG, T.Y., KAPANIA, R.K. and SAIGAL, S., "Accurate Rigid-Body Modes

Representation for a Nonlinear Curved Thin-Shell Element". AIAA Jownal, Vol. 27, n"2,

-218 (1989)

[YAN 90) YANG, H.T.Y., SAIGAL, S. and LIAW, D.G., "Advances of Thin Shell Finite

Elements and some Applications-Version 1". Computers and Structures, Vol. 35, n°4, 481-

(1990)

[ZIE 77] ZIENKIEWICZ, O.C., BAUER, J., MORGAN, K. and ONATE, E., "A simple

Element for Axisynunetric Shells with Shear Defonnation". International Jownal for

Numerical Methods in Engineering, Vol. 11, n°10, 1545-1558 (1977)

[ZIE 86) ZIENKIEWICZ, O.C., "The Finite Element Method". Third Edition Me Graw-Hill,

London (1986)

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Published

1993-03-28

How to Cite

Faye, J.-P. ., & Touratier, M. . (1993). Un nouvel element fini de coque axisymetrique semi-epaisse. European Journal of Computational Mechanics, 2(3), 287–318. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/3655

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