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Global Properties of Buckled States of Plates that can Suffer Thickness Changes

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Mechanics and Thermodynamics of Continua

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Abstract

This paper treats the axisymmetric buckling of nonlinearly elastic Cosserat plates, which can suffer thickness changes, as well as flexure, midplane extension, and shear. The governing equations are accordingly quite complicated. Nevertheless, it is shown that all solutions, bifurcating or not, have a simple, detailed nodal structure that distinguishes branches globally.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, USA

    Stuart S. Antman

Authors
  1. Stuart S. Antman
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Editor information

Editors and Affiliations

  1. 21 Disraeli St., 92222, Jerusalem, Israel

    Hershel Markovitz

  2. Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Victor J. Mizel  & David R. Owen  & 

Additional information

This paper is dedicated to Bernard Coleman on the occasion of his sixtieth birthday

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© 1991 Springer-Verlag Berlin Heidelberg

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Antman, S.S. (1991). Global Properties of Buckled States of Plates that can Suffer Thickness Changes. In: Markovitz, H., Mizel, V.J., Owen, D.R. (eds) Mechanics and Thermodynamics of Continua. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75975-8_21

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  • DOI: https://doi.org/10.1007/978-3-642-75975-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52999-6

  • Online ISBN: 978-3-642-75975-8

  • eBook Packages: Springer Book Archive

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