Elasticity Problems For Thin Tall Structures

  • Doina Cioranescu
  • Jeannine Saint Jean Paulin
Part of the Applied Mathematical Sciences book series (AMS, volume 136)


This chapter is again devoted to the study of very thin, tall structures, but a much more difficult problem is considered here, that of linearized elasticity. As can be expected from a physical point of view, the limit behavior is that of a beam. Thus we pass from the second-order three-dimensional elasticity system to two fourth-order and one second-order one-dimensional systems.


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Copyright information

© Springer-Verlag New York, Inc. 1999

Authors and Affiliations

  • Doina Cioranescu
    • 1
  • Jeannine Saint Jean Paulin
    • 2
  1. 1.Laboratoire d’Analyse NumériqueUniversité Paris VI et CNRSParis Cedex 05France
  2. 2.Département de MathématiqueUniversité de MetzMetz Cedex 01France

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