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On two ways of constructing the theory of elastic shells

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Theoretical and Applied Mechanics

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

If the theory of shells is constructed on the basis of the hypothesis that it is sufficient to define the resulting forces and couples, it is desirable to derive a system of partial differential equations which would provide the fulfilment of five independent boundary conditions; the system of equations should be correctly solvable when the boundary values of normal, tangential and transversal forces, and the bending and twisting moments are arbitrarily given. We shall call the theory that satisfies these requirements the consistent theory of shells.

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References

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© 1973 Springer-Verlag, Berlin · Heidelberg

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Vekua, I.N. (1973). On two ways of constructing the theory of elastic shells. In: Becker, E., Mikhailov, G.K. (eds) Theoretical and Applied Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65590-6_21

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  • DOI: https://doi.org/10.1007/978-3-642-65590-6_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65592-0

  • Online ISBN: 978-3-642-65590-6

  • eBook Packages: Springer Book Archive

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