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Numerical and analytical investigation on crushing of fractal-like honeycombs with self-similar hierarchy

机译：自相似分形的蜂窝状破碎的数值分析研究

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摘要

The out-of-plane crushing resistance of fractal-like honeycombs with self-similar hierarchy are investigated numerically and analytically. The hierarchical honeycombs are developed via replacing each three-edge vertex of a regular hexagonal honeycomb by a smaller hexagon. Hierarchical honeycombs with higher orders are constructed by repeating this process. Theoretical solutions are derived based on the Super Folding Element (SFE) theory to predict the mean crushing forces (MCFs) of the hierarchical honeycombs. Numerical simulations are also conducted in conjunction with the theoretical solutions. Crushing resistances of three groups of hierarchical honeycombs with different relative densities are explored subsequently. Good agreement between results obtained using theoretical and numerical methods indicates that the theoretical predictions are reliable. The results show that hierarchy can significantly improve the crushing resistance of honeycombs. It is found that the MCFs of first to fourth order hierarchical honeycombs are improved by 71%, 114%, 201% and 309% compared with the regular honeycomb under the same relative density, respectively. It reveals that the amplification of the MCF from one generation to the next approaches a constant (xi(n) approximate to 1.26) when the hierarchical order is sufficiently large. The potential maximum achievable amplifications of the MCF for hierarchical honeycombs of different relative densities are also discussed.
机译：通过数值和分析方法研究了具有相似自相似层次的分形蜂窝的面外抗压强度。通过用较小的六角形替换常规六角形蜂窝的每个三边顶点来开发分层蜂窝。通过重复此过程，可以构建具有更高顺序的分层蜂窝。基于超折叠元素（SFE）理论推导了理论解，以预测分层蜂窝的平均压碎力（MCF）。还结合理论解进行了数值模拟。随后研究了三组具有不同相对密度的分层蜂窝的抗压强度。使用理论和数值方法获得的结果之间的良好一致性表明理论预测是可靠的。结果表明，分层可以显着提高蜂窝的抗压性。发现在相同的相对密度下，一到四阶分级蜂窝的MCF分别比普通蜂窝提高了71％，114％，201％和309％。它表明，当层次顺序足够大时，MCF从一代到下一代的放大率接近常数（xi（n）接近1.26）。还讨论了不同相对密度的分层蜂窝的MCF可能实现的最大放大。

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  • 来源
    《Composite Structures》 |2018年第5期|289-299|共11页
  • 作者

    Zhang Dahai; Fei Qingguo; Jiang Dong; Li Yanbin;

  • 作者单位

    Southeast Univ, Inst Aerosp Machinery & Dynam, Nanjing 211189, Jiangsu, Peoples R China;

    Southeast Univ, Inst Aerosp Machinery & Dynam, Nanjing 211189, Jiangsu, Peoples R China;

    Southeast Univ, Inst Aerosp Machinery & Dynam, Nanjing 211189, Jiangsu, Peoples R China;

    Southeast Univ, Inst Aerosp Machinery & Dynam, Nanjing 211189, Jiangsu, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Honeycombs; Self-similar hierarchy; Out-of-plane; Crushing resistance;

    机译：蜂窝;自相似的层次;平面外;抗压性;

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