Publication Cover
Applicable Analysis
An International Journal
Volume 70, 1998 - Issue 1-2
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Original Articles

Ellipticity of koiter's and naghdi's models for nonhomogeneous anisotropic shells

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Pages 75-84 | Received 01 Sep 1997, Published online: 02 May 2007

References

  • Bernadou , M. 1994 . Méthodes d'é1éments finis pour les problèmes de coques minces , Paris : Masson .
  • Bernadou , M. and Ciarlet , P.G. 1976 . “ Sur l'ellipticité du modèle linéaire de coques de W. T. Koiter ” . In Computing Methods in Applied Sciences and Engineering , Edited by: Glowinski , R. and Lions , J.L. Vol. 134 , 89 – 136 . Berlin : Springer-Verlag . Lectures Notes in Economics and Mathematical Systems
  • Bernadou M. Ciarlet P.G. Miara B. Existence theorems for two-dimensional linear shell theories J. Elasticity (to appear)
  • Ciarlet , P.G. and Miara , B. 1991 . Une démonstration simple de 1'ellipticité des modèles de coques de W.T. Koiter et de P.M. Naghdi . C.R. AcadSci., Paris, Sé.I Math , 312 : 411 – 415 .
  • Caillerie , D. and Sanchez-Palencia , E. 1995 . A new kind of singular stiff problems and application to thin elastic shells . Mathematical Models and Methods in Applied Sciences , 5 ( 1 ) : 47 – 66 .
  • Koiter , W.T. 1970 . On the foundations of the linear theory of thin elastic shells . Proc. Kon. Nederl. Akad. Wetensch , B73 ( 1 ) : 169 – 195 .
  • Naghdi , P.M. 1963 . “ Foundations of elastic shell theory ” . In Progress in Solid Mechanics , Vol. 4 , 1 – 90 . Amsterdam : North-Holland .
  • Green , A.E. and Zerna , W. 1968 . Theoretical elasticity , Oxford : University Press .

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