In-plane impact behavior of circular honeycomb structures randomly filled with rigid inclusions
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摘要: 研究多孔材料细观结构与宏观力学性能之间的关系, 建立具有固定相对密度的含随机固体填充孔的圆形蜂窝结构模型。在此模型的基础上具体讨论了不同孔洞填充比和冲击速度对圆形蜂窝结构变形模式、动态冲击平台应力以及能量吸收性能的影响。研究结果表明:填充孔在蜂窝变形过程中有局部牵制作用, 蜂窝材料变形模式仍为准静态模式、过渡模式、动态模式; 当变形模式为过渡模式或动态模式时, 结构的平台应力与速度的平方成线性关系, 存在明显的速度效应; 高速冲击下, 含固体填充孔的蜂窝结构单位质量吸收的能量高于规则蜂窝结构。研究结果可为蜂窝材料的研究和设计提供参考。Abstract: The model of circular honeycomb structures randomly filled with rigid inclusions which keeps the relative density as a constant is developed.And then the effects of impact velocity and packing ratio on the deformation modes, dynamic plateau stress and energy absorption capacities are discussed in detail.Research results show that the rigid inclusions have pinning effect in the process of deformation and the deformation modes can still be classified as quasi-static mode, transitional mode and dynamic mode.The plateau stress is proportional to the square of the impact velocity when the honeycombs are deformed at transitional mode or dynamic mode, which shows obvious speed effect. The energy absorption capacities of circular honeycombs are higher than these of the regular honeycombs at high-velocity impact.These results can provide valuable suggestions in the study and design of the functionally gradient honeycombs.
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Key words:
- solid mechanics /
- deformation modes /
- energy absorption /
- plateau stress /
- inclusions /
- circular honeycomb
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图 4 冲击速度对平台应力的影响
Figure 4. Effect of impact velocity on the plateau stress of honeycombs
图 5 低速冲击下圆形蜂窝上材料冲击端动态响应曲线
Figure 5. Dynamic response curve of circular honeycomb at the crushing end
图 6 固体填充孔对y方向相对平台应力的影响
Figure 6. Effect of solid inclusions on the relative plateau stress in y direction
图 7 不同冲击速度下蜂窝结构单位质量吸收能量
Figure 7. Energy absorption of honeycombs structures at different impact velocities
表 1 含随机固体填充孔蜂窝结构参数
Table 1. Parameters of honeycombs with randomly arranged solid inclusions
α t/mm ρe/(g·cm-3) 0.02 0.125 33.106 0.04 0.096 42.650 0.06 0.066 61.490 0.08 0.036 114.130 
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表 2 平台应力拟合关系式中的系数
Table 2. Coefficients in fitting equation of plateau stress
α a1/MPa a2/(Pa·s2·m-2) 0.00 0.086 0.238 0.02 0.071 0.244 0.04 0.055 0.252 0.06 0.043 0.260
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