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

新型星-菱形负泊松比蜂窝结构的动态力学特性

李娜¹,
刘述尊¹,
张新春^{1, 2, ,},
张英杰^{1, 2},
齐文睿¹

1.
华北电力大学　机械工程系, 保定 071003
2.
华北电力大学　河北省电力机械装备健康维护与失效预防重点实验室, 保定 071003

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
计量
- 文章访问数: 42
- HTML全文浏览量: 37
- 被引次数: 0
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

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

LI Na¹,
LIU Shuzun¹,
ZHANG Xinchun^{1, 2
, ,},
ZHANG Yingjie^{1, 2},
QI Wenrui¹

1.
Department of Mechanical Engineering, North China Electric Power University, Baoding 071003, China
2.
Hebei Key Laboratory of Electric Machinery Health Maintenance & Failure Prevention, North China Electric Power University, Baoding 071003, China

Funds: Natural Science Foundation of Hebei Province (A2020502005)

摘要

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α、t和b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。
- 星-菱形负泊松比结构 /
- 平台应力 /
- 面内增强 /
- 冲击响应 /
- 能量吸收
Abstract: In order to further improve the crushing resistance and energy-absorbing capacity of the honeycomb structure, by periodically arraying typical star-shaped and star-rhombic cells, the reentrant star-shaped honeycomb structures (RSH) and the novel in-plane enhanced star-rhombic honeycomb structures (ESH) were constructed in this paper. The in-plane mechanical response and energy absorption characteristics of ESH under different loading directions were systematically investigated through experiments and finite element (FE) simulations. Compared with RSH, the negative Poisson's ratio characteristics of ESH under quasi-static compression are weakened, but the energy-absorbing capacities are significantly improved. In addition, by combining the deformation features of micro-topological cells, the deformation mechanism that the stress-strain response of ESH-y exhibits a double-plateau characteristic at low velocities of crushing is revealed, and the influence of the structural parameters α, t, and b on the plateau stresses is discussed. Based on the periodic layer-by-layer collapse deformation features of ESH under high-velocity crushing and the momentum theorem, the theoretical solutions of the high-velocity plateau stress in different loading directions are obtained, and theoretical results are in good agreement with FE results. This study can provide a reference for the innovative design of novel negative Poisson's ratio structures with better mechanical properties.
- star-rhombic honeycomb structures /
- plateau stresses /
- in-plane enhancement /
- crushing response /
- energy absorption

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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)

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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.

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图 3 网格收敛性验证

Figure 3. Validation of mesh convergence

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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

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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

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图 6 ESH和RSH的平台应力、吸收的总能量E_A与比能量吸收E_SEA

Figure 6. Plateau stress, energy absorption E_A and specific energy absorption E_SEA of ESH and RSH

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图 7 ESH的典型变形模式

Figure 7. Typical deformation modes of ESH

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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

σ_p—Plateau stress; σ_max—Initial peak stress; E_SEA—Specific energy absorption; Δσ—Stress fluctuation; ε_d—Densification strain

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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

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图 10 α、t和b对ESH平台应力的影响

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

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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

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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

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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.

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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 E_s/GPa	2.04±0.04	68.2
Density ρ_s/(kg·m⁻³)	1240	2700
Yield stress σ_ys/MPa	30.42±2.21	80
Poisson's ratio ν	0.3	0.3
Note: PLA—Polylactic acid.

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