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2D elastic analysis of the sandwich panel buckling problem: benchmark solutions and accurate finite element formulations

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Abstract

This paper is concerned with the elastic stability of a sandwich beam panel using classical elasticity. An exact solution for the buckling problem of a sandwich panel (wide beam) in uniaxial compression is presented. Various formulations that correspond to the use of different pairs of energetically conjugate stress and strain measures for the infinitesimal elastic stability of the sandwich panel are discussed. Results from the present two-dimensional analyses to predict the global and local buckling of a sandwich panel are compared with previous theoretical and experimental results. A new finite element formulation for the bifurcation buckling problem is also introduced. In this new formulation, terms that influence the buckling load, which have been omitted in popular commercial codes are pointed out and their significance in influencing the buckling load is identified. The formulation and results presented here can be used as a benchmark solution to establish the accuracy of numerical methods for computing the buckling behavior of thick, orthotropic solids.

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Authors and Affiliations

  1. Composite Structures Laboratory, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109, USA

    Wooseok Ji & Anthony M. Waas

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  1. Wooseok Ji
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  2. Anthony M. Waas
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Correspondence to Anthony M. Waas.

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Ji, W., Waas, A.M. 2D elastic analysis of the sandwich panel buckling problem: benchmark solutions and accurate finite element formulations. Z. Angew. Math. Phys. 61, 897–917 (2010). https://doi.org/10.1007/s00033-009-0041-z

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