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A Variational Formulation of Shallow Shells

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The finite element method in the 1990’s

Abstract

A sound variational framework applicable to shallow shell analysis is proposed in this work. Addition of so-called drilling degrees of freedom, usually absent in the shell analysis, is facilitated within the proposed framework at the continuum level. Therefore, it provides a solid theoretical basis for development of thick and thin curved shell elements with six degrees of freedom per node.

Dedicated to Prof. O. C. Zienkiewicz on the occasion of his 70th anniversary

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E. Oñate J. Periaux A. Samuelsson

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© 1991 Springer-Verlag Berlin Heidelberg

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Ibrahimbegovic, A., Frey, F., Fonder, G., Massonnet, C. (1991). A Variational Formulation of Shallow Shells. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_8

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  • DOI: https://doi.org/10.1007/978-3-662-10326-5_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-10328-9

  • Online ISBN: 978-3-662-10326-5

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