1986 | OriginalPaper | Buchkapitel
Some Mathematical Results Related to Nonlinear Thin Shell Problems
verfasst von : M. Bernadou
Erschienen in: Finite Rotations in Structural Mechanics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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There exist many different nonlinear models of thin shell problems depending of the geometry of the shell, of the magnitude of the displacement or of the strains. An account of these models can be found in KOITER [15]. More recently it appears to be meaningful to decompose the motion of a shell into translation, rigid-body rotation and strain. Such decomposition is particularly interesting for shells whose deformation leads to large rotations but small strains. In this way, PIETRASZKIEWICZ [19], PIETRASZKIEWICZ and SZWABOWICZ [20] derived several models according to the magnitude of the rigid-body rotations, with and without restrictions on the magnitude of the strains.