CRM Proceedings & Lecture Notes 1999; 280 pp; softcover Volume: 21 ISBN10: 0821809504 ISBN13: 9780821809501 List Price: US$92 Member Price: US$73.60 Order Code: CRMP/21
 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 copublished with the Centre de Recherches Mathématiques. Readership 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  Lockingfree mixed stabilized finite element methods for bendingdominated 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  Twolevel overlapping Schwarz methods for plate elements on unstructured meshes using nonmatching coarse grids
 J.C. Gelin and L. Boubakar  Large elastoplastic deformations of thin shells with application to the stamping of anisotropic sheet metal parts
 K. Genevey  Justification of twodimensional linear shell models by the use of \(\Gamma\)convergence theory
 S. F. Golovashchenko and N. M. Bessonov  Numerical simulation of highrate 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 infsup 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
