In-Plane Dynamic Mechanical Response of Auxetic Hexagonal Honeycomb under Oblique Impact
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摘要: 基于内凹六边形蜂窝模型，对内凹六边形蜂窝结构在不同冲击倾角（0°～10°）与不同冲击速度（6～100 m/s）下的面内动态力学响应进行了系统研究。采用一种新的截面计算公式，能够反映斜冲击下蜂窝结构与冲击板接触面积的变化和斜冲击过程中应力从局部到整体的变化，有效地捕捉了蜂窝结构的初始峰值应力。研究结果表明：内凹六边形蜂窝结构在斜冲击与正冲击时的变形模式不同，在低速斜冲击下为局部变形，在中高速斜冲击下为整体变形，而在正冲击下均为整体变形。与正六边形蜂窝结构相比，内凹六边形蜂窝结构受到负泊松比效应的影响，在相同工况下内凹六边形蜂窝结构的变形晚于正六边形蜂窝结构，变形模式产生延迟。此外，结合能量吸收时程曲线，对比分析了两种截面计算方法下的平台应力。可为蜂窝结构在斜冲击下的承载和稳定性研究提供依据。Abstract: The in-plane dynamic mechanical response of the auxetic hexagonal honeycomb under different impact angles, ranging from 0°–10°, and different impact speeds, ranging from 6–100 m/s, is systematically studied based on the corresponding numerical model. A novel formula is adopted for the cross-section to reflect the change of contact area between honeycomb structure and impact plate during oblique impact. The formular can reflect the change of stress from local region to whole model in the impact process well and capture the initial peak stress of honeycomb structure effectively. The results show that the auxetic structure has different deformation modes under oblique impact and axial impact, exhibiting local deformation under low-speed oblique impact, overall deformation under medium-high speed oblique impact, and overall deformation under axial impact. Compared with the regular hexagonal honeycomb structure, the auxetic structure is affected by the negative Poissonʼs ratio effect. Under the same loading condition, the deformation mode of the auxetic honeycomb deforms later than the regular hexagonal honeycomb structure does, exhibiting a delayed mode. In addition, focusing on the energy absorption historical curve, the plateau stress under the two calculation methods of cross-section area is compared and analyzed, which provides a basis for investigating the load-bearing and stability of honeycomb structures under oblique impact.
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Key words:
- oblique impact /
- auxetic /
- deformation mode /
- plateau stress /
- energy absorption
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图 1 内凹六边形蜂窝结构的斜冲击示意图
Figure 1. Schematic illustration of inclined impact of auxetic materials
图 2 正六边形蜂窝结构沿
$x$ 方向面内冲击变形模式Figure 2. In-plane impact deformation mode of regular hexagonal honeycomb materials along the
$x$ direction
图 3 内凹六边形蜂窝结构在不同倾斜角度和冲击速度下的变形过程
Figure 3. Deformation of auxetic materials under different inclination angles and impact speeds
图 5 正六边形蜂窝结构 (a) 与内凹六边形蜂窝结构 (b) 的变形对比
Figure 5. Comparison of deformation mode of regular hexagonal honeycomb (a) and auxetic materials (b)
图 6 两种方法得到的应力-时程曲线对比
Figure 6. Comparison of stress-time curves obtained by two method
图 10 冲击倾角对内凹六边形蜂窝结构能量吸收的影响
Figure 10. Influence of impact angle on energy absorption of auxetic materials
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