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On the Different Possibilities to Derive Plate and Shell Theories

  • Conference paper
IUTAM Symposium on Relations of Shell Plate Beam and 3D Models

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 9))

Abstract

The plate theory is an old branch of solid mechanics – the first development of a general plate theory was made by Kirchhoff more than 150 years ago. After that many improvements were suggested, at the same time some research was focussed on the establishment of a consistent plate theory. Limiting ourself by the linear elastic case, it will be demonstrated that the von Kármán theory can be deduced from the three-dimensional continuum mechanics equation.

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Author information

Authors and Affiliations

  1. Lehrstuhl für Technische Mechanik Zentrum für Ingenieurwissenschaften Martin-Luther-Universität Halle-Wittenberg, D-06099 Halle (Saale), Germany

    Holm Altenbach

  2. Brabantstraβe 10 -18, D-52070 Aachen, Germany

    Johannes Meenen

Authors
  1. Holm Altenbach
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  2. Johannes Meenen
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Editors and Affiliations

  1. I.Vekua Institute of Applied Mathematics, Iv. Javakhishvili Tbilisi State University, University Street 2, 0186 Tbilisi, Georgia

    George Jaiani

  2. Dipartimento di Ingegneria Civile, Universita’ di Roma TorVergata, Viale Politecnico 1, 00133 Roma, Italy

    Paolo Podio-Guidugli

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Altenbach, H., Meenen, J. (2008). On the Different Possibilities to Derive Plate and Shell Theories. In: Jaiani, G., Podio-Guidugli, P. (eds) IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_3

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  • DOI: https://doi.org/10.1007/978-1-4020-8774-5_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-8773-8

  • Online ISBN: 978-1-4020-8774-5

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