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Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity

Abstract : Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff-Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are stated precisely.
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Submitted on : Saturday, January 12, 2013 - 3:13:08 PM
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  • HAL Id : hal-00773268, version 1

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David Steigmann, Raymond Ogden. Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Wiley-VCH Verlag, 2012, - (-), pp.1-14. ⟨hal-00773268⟩

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