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首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >2D elastic analysis of the sandwich panel buckling problem: Benchmark solutions and accurate finite element formulations
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2D elastic analysis of the sandwich panel buckling problem: Benchmark solutions and accurate finite element formulations

机译：夹心板屈曲问题的2D弹性分析：基准解决方案和精确的有限元公式

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摘要

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.
机译：本文关注的是采用经典弹性的夹层梁面板的弹性稳定性。提出了单轴压缩中夹心板（宽梁）屈曲问题的精确解决方案。讨论了各种公式，这些公式对应于使用不同的能量共轭应力和应变对对，以实现夹心板的无限微小弹性稳定性。从目前的二维分析结果可预测夹芯板的整体和局部屈曲，并将其与先前的理论和实验结果进行比较。还介绍了一种新的分叉屈曲问题的有限元公式。在这种新公式中，指出了在现行商业法规中已省略的影响屈曲载荷的术语，并确定了它们在影响屈曲载荷中的意义。这里介绍的公式和结果可以用作基准解决方案，以建立用于计算厚正交异性固体屈曲行为的数值方法的准确性。

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