Lagrangian description and incremental formulation in the nonlinear theory of thin shells (Q792806)

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scientific article; zbMATH DE number 3854557
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Lagrangian description and incremental formulation in the nonlinear theory of thin shells
scientific article; zbMATH DE number 3854557

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    Lagrangian description and incremental formulation in the nonlinear theory of thin shells (English)
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    1984
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    Equations of equilibrium are constructed for an entirely Lagrangian nonlinear shell theory. Several consistently simplified versions for the first-approximation theory are discussed in dependence of moderate or large rotations. These equations allow an exact variational formulation. A unified theory of superposition of deformations in thin shells is outlined. This paper is of great interest for all scientists interested in basic equations of nonlinear theory of thin shells.
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    four geometric and static boundary conditions
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    Hu-Washizu free functional
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    Equations of equilibrium
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    Lagrangian nonlinear shell theory
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    simplified versions for the first-approximation theory
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    moderate or large rotations
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    unified theory of superposition of deformations
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