The Continuous Problem

  • Michel Bernadou
  • Jean-Marie Boisserie
Part of the Progress in Scientific Computing book series (PSC, volume 1)


W.T. KOITER’s linear theory of thin elastic shells makes use of intrinsic geometrical properties of middle surface of the undeformed shell. Our first task is to define this middle surface and to record relevant results on differential geometry needed in the following. Next, from the knowledge of the geometry of the middle surface, we give the definition of the undeformed shell. Thus, we are able to give a variational formulation of KOITER’s model.


Bilinear Form Displacement Field Shell Theory Middle Surface Admissible Displacement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1982

Authors and Affiliations

  • Michel Bernadou
    • 1
  • Jean-Marie Boisserie
    • 2
  1. 1.INRIALe Chesnay CedexFrance
  2. 2.E.D.F.-D.E.R.ChatouFrance

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