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<p>The mechanical properties of traditional square honeycombs (<i>H</i><sub><i>c</i></sub>) and vertex-based layered square honeycombs (<i>H</i><sub><i>h</i></sub>) have been extensively studied. Based on the <i>H</i><sub><i>h</i></sub> structure, this study proposes an improved hierarchical square honeycomb (<i>H</i><sub><i>i</i></sub>) structure based on vertex modifications. First, the <i>H</i><sub><i>i</i></sub> structure removes specific rods from self-similar small squares, forming open regions. Subsequently, two distinct parameter variation methods are employed to analyze the mechanical properties of the <i>H</i><sub><i>i</i></sub> structure. The normalized effective Young’s modulus (<i>E/E</i><sub><i>s</i></sub>), normalized effective specific stiffness (<i>E/E</i><sub><i>s</i></sub><i>ρ</i>), and Poisson’s ratio (<i>υ</i>) of the <i>H</i><sub><i>i</i></sub> structure are evaluated through theoretical analysis, experimental testing, and finite element (<i>FE</i>) simulations. The results obtained from these three approaches exhibit strong consistency. Furthermore, a comparative analysis of <i>E/E</i><sub><i>s</i></sub> and <i>E/E</i><sub><i>s</i></sub><i>ρ</i> under different parameter variations is conducted. The findings indicate that, when maintaining a constant s/L ratio, the <i>H</i><sub><i>i</i></sub> structure retains a positive Poisson’s ratio effect. However, when s/L varies, the <i>H</i><sub><i>i</i></sub> structure demonstrates positive, zero, and negative Poisson effects, showcasing enhanced mechanical diversity. This unique behavior is primarily attributed to the multiple structural parameters introduced by the vertex-based hierarchical design. The intrinsic mechanical properties of <i>H</i><sub><i>i</i></sub> structures underscore their potential for engineering applications. This study provides valuable insights and guidance for the further exploration of square honeycomb structures.</p>

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Vertex-based improved hierarchical square honeycomb with programmable mechanical properties

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • Jianbin Luo,
  • Song Xu,
  • Yuanhao Tie,
  • Ronghui Guo,
  • Xiaofeng Chen,
  • Lei Ye,
  • Mingsen Li,
  • Haiguo Zhang,
  • Guiguang Chen,
  • Chunmei Jiang

摘要

The mechanical properties of traditional square honeycombs (Hc) and vertex-based layered square honeycombs (Hh) have been extensively studied. Based on the Hh structure, this study proposes an improved hierarchical square honeycomb (Hi) structure based on vertex modifications. First, the Hi structure removes specific rods from self-similar small squares, forming open regions. Subsequently, two distinct parameter variation methods are employed to analyze the mechanical properties of the Hi structure. The normalized effective Young’s modulus (E/Es), normalized effective specific stiffness (E/Esρ), and Poisson’s ratio (υ) of the Hi structure are evaluated through theoretical analysis, experimental testing, and finite element (FE) simulations. The results obtained from these three approaches exhibit strong consistency. Furthermore, a comparative analysis of E/Es and E/Esρ under different parameter variations is conducted. The findings indicate that, when maintaining a constant s/L ratio, the Hi structure retains a positive Poisson’s ratio effect. However, when s/L varies, the Hi structure demonstrates positive, zero, and negative Poisson effects, showcasing enhanced mechanical diversity. This unique behavior is primarily attributed to the multiple structural parameters introduced by the vertex-based hierarchical design. The intrinsic mechanical properties of Hi structures underscore their potential for engineering applications. This study provides valuable insights and guidance for the further exploration of square honeycomb structures.