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Global properties of buckled states of plates that can suffer thickness changes

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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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Authors and Affiliations

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

    Stuart S. Antman

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  1. Stuart S. Antman
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This paper is dedicated to Bernard Coleman on the occasion of his sixtieth birthday

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Antman, S.S. Global properties of buckled states of plates that can suffer thickness changes. Arch. Rational Mech. Anal. 110, 103–117 (1990). https://doi.org/10.1007/BF00873493

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  • DOI: https://doi.org/10.1007/BF00873493

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