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Plates and Shells
Edited by: Michel Fortin, Université Laval, Ste-Foy, QC, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques.

CRM Proceedings & Lecture Notes
1999; 280 pp; softcover
Volume: 21
ISBN-10: 0-8218-0950-4
ISBN-13: 978-0-8218-0950-1
List Price: US$92
Member Price: US$73.60
Order Code: CRMP/21
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This volume features the proceedings from the Summer Seminar of the Canadian Mathematical Society held at Université Laval. The purpose of the seminar was to gather both mathematicians and engineers interested in the theory or application of plates and shells, or more generally, in the modelisation of thin structures. From this, it was hoped that a better understanding of the problem would emerge for both groups of professionals. New aspects from the mathematical point of view and new applications posing new challenges are reported. This volume offers a snapshot of the state of the art of this rapidly evolving topic.

Titles in this series are co-published with the Centre de Recherches Mathématiques.


Graduate students and research mathematicians working in mechanics of solids; engineers interested in numerical simulation of thin structures.

Table of Contents

  • S. M. Alessandrini, D. N. Arnold, R. S. Falk, and A. L. Madureira -- Derivation and justification of plate models by variational methods
  • J.-L. Batoz, Y. Q. Guo, and F. Mercier -- Simple triangular shell elements for large strain estimations of sheet metal forming parts
  • M. Bernadou -- Some approximation methods for linear thin shell problems
  • M. Bernadou and C. Haenel -- Numerical analysis of piezoelectric shells
  • M. Carrive and P. Le Tallec -- Étude intrinsèque d'un problème de coque en grandes déformations
  • D. Chapelle and R. Stenberg -- Locking-free mixed stabilized finite element methods for bending-dominated shells
  • F. Dammak, S. Chamlal, A. Gakwaya, and G. Dhatt -- Un élément de coque simple à trois nœuds en grandes rotations et élastoplasticité
  • M. C. Delfour and J. Zhao -- Intrinsic nonlinear models of shells
  • M. C. Delfour and J.-P. Zolésio -- Convergence of the linear \(P\)(1,1) and \(P\)(2,1) thin shells to asymptotic shells
  • Q. Deng and X. Feng -- Two-level overlapping Schwarz methods for plate elements on unstructured meshes using non-matching coarse grids
  • J.-C. Gelin and L. Boubakar -- Large elasto-plastic deformations of thin shells with application to the stamping of anisotropic sheet metal parts
  • K. Genevey -- Justification of two-dimensional linear shell models by the use of \(\Gamma\)-convergence theory
  • S. F. Golovashchenko and N. M. Bessonov -- Numerical simulation of high-rate stamping of tubes and sheets
  • A. Ibrahimbegović -- An intrinsic form of the stress resultant geometrically exact shell theory
  • A. Iosilevich, K.-J. Bathe, and F. Brezzi -- Numerical inf-sup analysis of MITC plate bending elements
  • E. Pagnacco and J. E. Souza de Cursi -- Optimisation des plaques et coques
  • M. A. Tournour and N. Atalla -- Vibroacoustic behavior of a rectangular box
  • G. Yang, M. C. Delfour, and M. Fortin -- Error analysis of mixed finite elements for cylindrical shells
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