Case Studies on the Influence of Geometric Effects on the Shakedown of Structures

  • Jean-Bernard Tritsch
  • Dieter Weichert
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 36)


The classical theory of shakedown as formulated by MELAN [1938] and KOITER [1960] is based on the assumptions of elastic-perfectly plastic or unlimited linear hardening material behaviour within the framework of geometrically linear theory. Out of the different extensions of these theorems (for review see, e.g. COHN & MAIER [1979], KÖNIG & MAIER [1981], MAIER & LLOYD SMITH [1986], KÖNIG [1987], GROSS-WEEGE [1990]), here the problem of the influence of geometrical changes of the considered structures during the loading procedure is addressed. Indeed, geometrically linear theory is invalid already for thinwalled plates and shells when the displacements of the midsurface are of the same order as the wall thickness. This, however, is a very common situation if thinwalled structures are loaded beyond their elastic limit.


Conical Shell Shakedown Analysis Shakedown Limit Thinwalled Plate Hybrid Numerical Method 
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • Jean-Bernard Tritsch
    • 1
  • Dieter Weichert
    • 1
  1. 1.L.M.L. (EUDIL)-CNRS URA 1441Université des Sciences et Technologies de LilleVilleneuve d'AscqFrance

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