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In-plane crushing behaviour of hierarchical honeycombs: finite element simulation and analytical modelling

层级蜂窝结构面内压缩行为研究: 有限元模拟和理论分析

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Abstract

This work reports on the in-plane crushing behaviour of second-order hierarchical honeycombs with triangle substructures (SHT). Here, cell walls of a conventional hexagonal honeycomb were replaced with two-layer equilateral triangles as substructures. Finite element (FE) simulations and analytical modelling were conducted, and a good agreement was found between FE and analytical results. The response of SHT was compared with that of other patterned honeycombs. Three deformation modes were observed under different loading speeds, and critical velocities for mode transforming were obtained qualitatively. The effect of loading speed and relative density on crushing stress and energy absorption capacity was also discussed.

摘要

本文研究了具有三角形子结构的二阶层级蜂窝结构(SHT)的面内压缩特性. 在此过程中, 正六边形蜂窝结构的细胞壁被替换成 两层等边三角形作为子结构. 研究结果表明, 有限元(FE)模拟和理论分析结果具有良好的一致性. 为了展现SHT优越的压缩性能, 我们 将其与不同种类蜂窝结构的压缩性特性进行了比较. 在不同的加载速度下, SHT展现出三种变形模式, 并定性获得了模式转换的临界速 度. 此外, 本文还进一步讨论了加载速度和相对密度对压缩平台应力和能量吸收能力的影响.

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Acknowledgements

This work was supported by the Australian Research Council through Discovery (Grant Nos. DP210103323 and DE220101094), the National Natural Science Foundation of China (Grant Nos. 52078152 and 12002095), and Guangzhou Government-University Union Fund (Grant No. 202201020532).

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Authors and Affiliations

  1. School of Engineering, Swinburne University of Technology, Hawthorn, VIC, 3122, Australia

    Yuyang Wang  (王宇阳), Jianjun Zhang  (张建军) & Guoxing Lu  (卢国兴)

  2. Centre for Innovative Structures and Materials, School of Engineering, RMIT University, Melbourne, 3001, Australia

    Ngoc San Ha

  3. School of Civil Engineering, Guangzhou University, Guangzhou, 510006, China

    Xinmei Xiang  (项新梅)

  4. School of Mechanical, Electrical and Information Engineering, Shandong University (Weihai), Weihai, 264209, China

    Li Wang  (王丽)

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  1. Yuyang Wang  (王宇阳)
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  3. Guoxing Lu  (卢国兴)
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  4. Ngoc San Ha
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  6. Li Wang  (王丽)
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Corresponding authors

Correspondence to Guoxing Lu  (卢国兴) or Li Wang  (王丽).

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Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Author contributions

Yuyang Wang: Conceptualization, Data curation, Visualization, Formal analysis, Methodology, Validation, Writing — original draft & editing. Jianjun Zhang: Conceptualization, Data curation, Formal analysis, Funding, Writing — review & editing. Guoxing Lu: Conceptualization, Methodology, Funding, Project administration, Supervision, Writing — review & editing. Ngoc San Ha: Data curation, Methodology, Formal analysis, Writing — review & editing. Xinmei Xiang: Methodology, Formal analysis, Funding, Editing. Li Wang: Project administration, Supervision, Writing — review & editing.

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Wang, Y., Zhang, J., Lu, G. et al. In-plane crushing behaviour of hierarchical honeycombs: finite element simulation and analytical modelling. Acta Mech. Sin. 39, 423067 (2023). https://doi.org/10.1007/s10409-023-23067-x

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