Abstract
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.
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References
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Tritsch, JB., Weichert, D. (1995). Case Studies on the Influence of Geometric Effects on the Shakedown of Structures. In: Mróz, Z., Weichert, D., Dorosz, S. (eds) Inelastic Behaviour of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0271-1_17
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