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On the General Strategies to Formulate Shell and Plate Theories

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Progress in Continuum Mechanics

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 196))

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Abstract

Different approaches exist to formulate general shell or plate theories. The approaches can be classified, for example, by the starting point of the derivation. This can be the well-known three-dimensional continuum mechanics equations. At present these equations are preferred by the engineers. In contrast, one can introduce à priory a two-dimensional deformable surface which is the basis for a more natural formulation of the two-dimensional governing equations. Here we discuss the theories based on the Cosserat approach.

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Author information

Authors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, 39106, Magdeburg, Germany

    Holm Altenbach

  2. Department of Civil, Environmental Engineering and Architecture, University of Cagliari, Via Marengo, 2, 09123, Cagliari, Italy

    Victor A. Eremeyev

Authors
  1. Holm Altenbach
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  2. Victor A. Eremeyev
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Correspondence to Victor A. Eremeyev .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

    Holm Altenbach

  2. Institut für Techn. Mechanik, Johannes-Kepler-Universität, Linz, Austria

    Hans Irschik

  3. Russian Academy of Sciences, Institute for Problems in Mechanical Engineering, St. Petersburg, Russia

    Alexey V. Porubov

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Altenbach, H., Eremeyev, V.A. (2023). On the General Strategies to Formulate Shell and Plate Theories. In: Altenbach, H., Irschik, H., Porubov, A.V. (eds) Progress in Continuum Mechanics. Advanced Structured Materials, vol 196. Springer, Cham. https://doi.org/10.1007/978-3-031-43736-6_3

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