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新型星-菱形负泊松比蜂窝结构的动态力学特性

李娜 刘述尊 张新春 张英杰 齐文睿

李娜, 刘述尊, 张新春, 等. 新型星-菱形负泊松比蜂窝结构的动态力学特性[J]. 复合材料学报, 2024, 42(0): 1-12.
引用本文: 李娜, 刘述尊, 张新春, 等. 新型星-菱形负泊松比蜂窝结构的动态力学特性[J]. 复合材料学报, 2024, 42(0): 1-12.
LI Na, LIU Shuzun, ZHANG Xinchun, et al. Dynamic mechanical properties of novel star-rhombic negative Poisson's ratio honeycomb structure[J]. Acta Materiae Compositae Sinica.
Citation: LI Na, LIU Shuzun, ZHANG Xinchun, et al. Dynamic mechanical properties of novel star-rhombic negative Poisson's ratio honeycomb structure[J]. Acta Materiae Compositae Sinica.

新型星-菱形负泊松比蜂窝结构的动态力学特性

基金项目: 河北省自然科学基金(A2020502005)
详细信息
    通讯作者:

    张新春,博士,副教授,硕士生导师,研究方向为新型功能/智能材料与结构 E-mail: xczhang@ncepu.edu.cn

  • 中图分类号: O347

Dynamic mechanical properties of novel star-rhombic negative Poisson's ratio honeycomb structure

Funds: Natural Science Foundation of Hebei Province (A2020502005)
  • 摘要: 为进一步提高蜂窝结构的抗冲击性能和能量吸收能力,通过周期性阵列传统星形胞元和星-菱形胞元,本文构建了内凹星形蜂窝结构(Reentrant star-shaped honeycomb structures, RSH)和新型的面内增强星-菱形蜂窝结构(Enhanced star-rhombic honeycomb structures, ESH)。通过实验和有限元模拟,系统地研究了ESH在不同加载方向的面内力学响应和吸能特性。与RSH相比,准静态压缩下ESH的负泊松比特性减弱,但吸能能力显著提高。此外,结合微拓扑胞元的变形特征,揭示了低速冲击时ESH-y的应力-应变响应呈现双平台特征的变形机制,并讨论了结构参数αtb对平台应力的影响规律。基于高速冲击下ESH的周期性逐层坍塌变形特征和动量定理,给出了不同加载方向高速平台应力的理论解,理论结果与有限元结果吻合较好。该研究可为创新设计具有更优力学性能的新型负泊松比结构提供参考。

     

  • 图  1  内凹星形和增强星-菱形蜂窝结构的设计策略

    Figure  1.  Design strategies for reentrant star-shaped honeycomb structures (RSH) and enhanced star-rhombic honeycomb structures (ESH)

    图  2  (a)实验装置 (b)有限元模型

    Figure  2.  (a) Experimental setup (b) Finite element model

    v—Crushing velocity; W—Width of specimen; H—Height of specimen;${x_{Li}}$, ${x_{Ri}}$—Displacement reference point.

    图  3  网格收敛性验证

    Figure  3.  Validation of mesh convergence

    图  4  RSH的准静态力学响应与模拟结果比较

    Figure  4.  Comparison of quasi-static mechanical response and simulation results for RSH

    (a) Deformation modes in y-direction (b) Stress-strain curves (c) Deformation modes in x-direction (d) Poisson's ratio

    图  5  ESH的准静态力学响应与模拟结果比较

    Figure  5.  Comparison of quasi-static mechanical response and simulation results for ESH

    (a) Deformation modes in y-direction (b) Stress-strain curves (c) Deformation modes in x-direction (d) Poisson's ratio

    图  6  ESH和RSH的平台应力、吸收的总能量EA与比能量吸收ESEA

    Figure  6.  Plateau stress, energy absorption EA and specific energy absorption ESEA of ESH and RSH

    图  7  ESH的典型变形模式

    Figure  7.  Typical deformation modes of ESH

    图  8  ESH的应力-应变响应和定量评估

    Figure  8.  Stress-strain response and quantitative evaluation of ESH

    σp—Plateau stress; σmax—Initial peak stress; ESEA—Specific energy absorption; Δσ—Stress fluctuation; εd—Densification strain

    图  9  低速冲击下ESH-y的变形机制

    Figure  9.  Deformation mechanism of ESH-y under low-velocity crushing

    图  10  αtb对ESH平台应力的影响

    Figure  10.  Effect of α, t and b on plateau stresses of ESH

    图  11  高速冲击下ESH-y的变形机制

    Figure  11.  Deformation mechanism of ESH-y under high-velocity crushing

    图  12  ESH-y和ESH-x的平台应力比较

    Figure  12.  Comparison of plateau stresses for ESH-y and ESH-x

    表  1  实验试样的几何参数

    Table  1.   Geometric parameters of experimental specimens

    RSH-y RSH-x ESH-y ESH-x
    α/(°) 20 20 20 20
    t/mm 1 1 1 1
    b/mm 20 20 20 20
    W/mm 85.89 80.53 85.58 80.34
    H/mm 80.47 85.77 80.44 85.60
    d/mm 15.19 15.31 15.48 15.47
    m/g 21.75 22.05 31.65 31.70
    $\bar \rho $ 0.17 0.17 0.24 0.24
    Notes: α—Reentrant angle; t—Wall thickness; b—Cell length; W—Width of specimen; H—Height of specimen; d—Out-of-plane depth; m—Mass of specimen; $\bar \rho $—Relative density.
    下载: 导出CSV

    表  2  基体材料属性

    Table  2.   Material properties of the matrix material

    Matrix material PLA Aluminum alloy[1]
    Young's modulus Es/GPa 2.04±0.04 68.2
    Density ρs/(kg·m−3) 1240 2700
    Yield stress σys/MPa 30.42±2.21 80
    Poisson's ratio ν 0.3 0.3
    Note: PLA—Polylactic acid.
    下载: 导出CSV
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出版历程
  • 收稿日期:  2024-01-05
  • 修回日期:  2024-02-05
  • 录用日期:  2024-02-28
  • 网络出版日期:  2024-04-01

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