目的 采用有限元法结合理论分析,系统研究圆形嵌入正六边形复合蜂窝（HHFCTs）的面外冲击力学性能,明确其变形模式、面外承载能力及能量吸收特征,推导准静态平台应力理论模型,为该复合蜂窝在包装防护领域的工程应用提供理论支撑与设计依据。方法 构建基于特征单元的HHFCTs面外冲击有限元模型,通过载荷-位移曲线与经典蜂窝力学响应的一致性验证模型可靠性;结合简化折叠模型理论与参数化仿真结果,推导考虑胞元耦合作用的准静态平台应力理论模型。结果 HHFCTs的变形模式由圆形蜂窝单元主导,随冲击速度提升呈现准静态、过渡态、动态3种典型模式;其面外承载与能量吸收性能显著优于单一蜂窝结构,当应变为0.8时,单位体积能量吸收较正六边形与圆形单一蜂窝的吸能之和提升40%以上;所建理论模型计算值与数值模拟值相对误差小于5%,吻合度高,预测精度良好。结论 冲击速度是调控HHFCTs面外变形模式的关键因素,所推导的准静态平台应力理论公式可有效预测其准静态力学性能,该复合蜂窝结构兼具轻量化、高承载、高吸能优势,在包装缓冲防护领域具有良好的工程应用价值。
Abstract
The work aims to systematically investigate the out-of-plane impact mechanical properties of hexagonal honeycombs filled with cylindrical tubes (HHFCTs) by combining the finite element method (FEM) with theoretical analysis, clarify its deformation modes, out-of-plane load-bearing capacity and energy absorption characteristics, derive the theoretical model of its quasi-static plateau stress, and provide a theoretical support and design basis for the engineering application of this composite honeycomb in packaging protection. A finite element model for the out-of-plane impact of HHFCTs was established based on the representative unit cell, and the reliability of the model was verified by the consistency between the load-displacement curve and the classical honeycomb mechanical response. On this basis, the theoretical model of its quasi-static plateau stress considering the cell coupling effect was derived by means of the simplified folding model theory and parametric simulation results. The results showed that the deformation mode of HHFCTs was dominated by the cylindrical honeycomb cells, presenting three typical modes including quasi-static, transitional and dynamic with the increase of impact velocity. Its out-of-plane load-bearing capacity and energy absorption performance were significantly superior to those of single honeycomb structures. When the strain was 0.8, the energy absorption per unit volume was more than 40% higher than the sum of that of the single hexagonal honeycomb and cylindrical honeycomb. The relative error between the calculation results of the established theoretical model and the numerical simulation results was less than 5%, showing high consistency and good prediction accuracy. It is concluded that the impact velocity is a key factor regulating the out-of-plane deformation mode of HHFCTs. The derived theoretical formula of quasi-static plateau stress can effectively predict its out-of-plane quasi-static mechanical properties. This composite honeycomb structure has the advantages of light weight, high load-bearing capacity and high energy absorption, and has good engineering application value in packaging and buffer protection.
关键词
圆形嵌入正六边形蜂窝 /
有限元模型 /
变形模式 /
准静态平台应力
Key words
hexagonal honeycomb filled with cylindrical tubes /
finite element model /
deformation mode /
quasi-static plateau stress
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基金
国家自然科学基金项目（51575327）; 陕西省科技厅陕西省创新能力支撑计划项目（2025JC-GXPT-022）; 陕西省市场监督管理局重点科技研发项目（2025ZDKY06）; 西安欧亚学院校级培育基金项目（2025ZYTS13）
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