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The flip side of buckling

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Abstract

Buckling of slender structures under compressive loading is a failure of infinitesimal stability due to a confluence of two factors: the energy density non-convexity and the smallness of Korn’s constant. The problem has been well understood only for bodies with simple geometries when the slenderness parameter is well defined. In this paper, we present the first rigorous analysis of buckling for bodies with complex geometry. By limiting our analysis to the “near-flip” instability, we address the universal features of the buckling phenomenon that depend on neither the shape of the domain nor the degree of constitutive nonlinearity of the elastic material.

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Authors and Affiliations

  1. Temple University, Philadelphia, PA, 19122, USA

    Yury Grabovsky

  2. Ecole Polytechnique, 91128, Palaiseau, France

    Lev Truskinovsky

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  1. Yury Grabovsky
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  2. Lev Truskinovsky
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Correspondence to Lev Truskinovsky.

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Communicated by L.C. Evans

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Grabovsky, Y., Truskinovsky, L. The flip side of buckling. Continuum Mech. Thermodyn. 19, 211–243 (2007). https://doi.org/10.1007/s00161-007-0044-y

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