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Membrane Theory for Shells with Principal Curvatures

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Structural Shell Analysis

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 200))

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Abstract

The basic assumption of membrane theory is that a thin shell produces a pure membrane stress field, and that no bending stresses occur. This assumption is applicable if certain boundary and loading conditions, exemplified in Chap. 1, are met. In this pure membrane stress field, only normal and in-plane shear stresses are produced. They are due to stretching and shearing of the middle plane of the shell. Bending, torsion and transverse shear stresses are not accounted for.

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Correspondence to Johan Blaauwendraad .

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© 2014 Springer Science+Business Media Dordrecht

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Blaauwendraad, J., Hoefakker, J.H. (2014). Membrane Theory for Shells with Principal Curvatures. In: Structural Shell Analysis. Solid Mechanics and Its Applications, vol 200. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-6701-0_2

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  • DOI: https://doi.org/10.1007/978-94-007-6701-0_2

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-6700-3

  • Online ISBN: 978-94-007-6701-0

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