1984 | OriginalPaper | Buchkapitel
On Entirely Lagrangian Displacemental Form of Non-Linear Shell Equations
verfasst von : W. Pietraszkiewicz
Erschienen in: Flexible Shells
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Equations of equilibrium and corresponding four geometric and static boundary conditions are derived for an entirely Lagrangian non-linear theory of thin shells. In case of a linearly elastic material and conservative external forces all shell relations are exactly derivable as stationarity conditions of the Hu — Washizu free functional. The set of equations is consistently reduced in the case of the geometrically non-linear theory of thin elastic shells undergoing large/small rotations.