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On generalized Cosserat-type theories of plates and shells: a short review and bibliography

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Abstract

One of the research direction of Horst Lippmann during his whole scientific career was devoted to the possibilities to explain complex material behavior by generalized continua models. A representative of such models is the Cosserat continuum. The basic idea of this model is the independence of translations and rotations (and by analogy, the independence of forces and moments). With the help of this model some additional effects in solid and fluid mechanics can be explained in a more satisfying manner. They are established in experiments, but not presented by the classical equations. In this paper the Cosserat-type theories of plates and shells are debated as a special application of the Cosserat theory.

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Authors and Affiliations

  1. Förderstedter Str. 28, 39112, Magdeburg, Germany

    Johannes Altenbach

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

    Holm Altenbach

  3. South Scientific Center of RASci and South Federal University, Milchakova St. 8a, 344090, Rostov on Don, Russia

    Victor A. Eremeyev

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Dedicated to Professor Horst Lippmann (1931–2008)

The work of V. A. Eremeyev was supported by the German Academic Exchange Service (DAAD) “Forschungsaufenthalte für Hochschullehrer und Wissenschaftler” in 2008.

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Altenbach, J., Altenbach, H. & Eremeyev, V.A. On generalized Cosserat-type theories of plates and shells: a short review and bibliography. Arch Appl Mech 80, 73–92 (2010). https://doi.org/10.1007/s00419-009-0365-3

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