Geometrical Preliminaries

  • Dominique Chapelle
  • Klaus-Jürgen Bathe
Part of the Computational Fluid and Solid Mechanics book series (COMPFLUID)


The description of the geometry is essential for the definition of a shell structure. Our objective in this chapter is to survey the main geometrical concepts, to introduce the related notation and to recall some essential results that will be needed in this book.


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  1. Bernadou, M. (1996). Finite Element Methods for Thin Shell Problems. New York: John Wiley & Sons.Google Scholar
  2. Ciarlet, P.G. (1998). Introduction to Linear Shell Theory. Series in Applied Mathematics. Gauthier-Villars & North-Holland.Google Scholar
  3. Green, A.E., & Zerna, W. (1968). Theoretical Elasticity. Oxford: Clarendon Press, 2nd ed.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Dominique Chapelle
    • 1
  • Klaus-Jürgen Bathe
    • 2
  1. 1.INRIA Paris-RocquencourtLe ChesnayFrance
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

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