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Erschienen in:
1986 | OriginalPaper | Buchkapitel
Finite Rotations in the Approximation of Shells
verfasst von : Gerald Wempner
Erschienen in: Finite Rotations in Structural Mechanics
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In the spirit of this colloquium, our attention is focused upon finite rotations in structures and, specifically, their role in the approximation of thin shells. Here, the theory of shells is recast; the motion is decomposed into strains and rotations with no restrictions on their magnitudes. With a view toward the further approximation via finite elements, the general theory is couched in alternative forms: A potential admits variations of displacements whereas a complementary functional admits variations of displacements, stresses and strains. To admit very simple approximations, transverse-shear deformations are included. Interelement continuity is then preserved even when kinks occur in the surface.