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On Geometrically Non-Linear Theory of Elastic Shells Derived from Pseudo-Cosserat Continuum with Constrained Micro-Rotations

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Book cover Finite Rotations in Structural Mechanics

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 19))

Abstract

The set of equations for the geometrically non-linear theory of thin elastic shells is usually expressed in terms of displacements as basic independent variables of the shell deformation. Various general and reduced displacemental forms of bending shell equations are summarized, for example, by MUSHTARI and GALIMOV [1], KOITER [2], PIETRASZKIEWICZ [3, 4], SCHMIDT [5] and BA§AR and KRÄTZIG [6], where further references may be found. When displacement field is determined from the shell equations, strains, rotations and stresses may be obtained by prescribed algebraic or differential procedures.

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Badur, J., Pietraszkiewicz, W. (1986). On Geometrically Non-Linear Theory of Elastic Shells Derived from Pseudo-Cosserat Continuum with Constrained Micro-Rotations. In: Pietraszkiewicz, W. (eds) Finite Rotations in Structural Mechanics. Lecture Notes in Engineering, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82838-6_2

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  • DOI: https://doi.org/10.1007/978-3-642-82838-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16737-2

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