胞元尺寸对六边形聚氨酯蜂窝结构泊松比和吸收能量的影响
Influence of Size of Honeycomb Structure on Poisson's Ratio and Energy Absorption
摘 要
采用有限元模型对热塑性聚氨酯弹性体蜂窝结构的压缩过程进行了模拟，并用试验进行验证。采用该模型研究了胞元凹角、宽度和壁厚对蜂窝结构泊松比和吸收能量的影响。结果表明：该模型能较准确地模拟蜂窝结构的压缩过程，试验和模拟峰值应力的相对误差在10%以内；凹角为负时，蜂窝结构具有负泊松比性质，其吸收能量较凹角为正的蜂窝结构的大；胞元宽度越小、壁厚越大，蜂窝结构的吸收能量越多；胞元凹角为-30°、宽度为1 mm、壁厚为1 mm时蜂窝结构的吸能效果最好；凹角大小对蜂窝结构的泊松比和吸收能量的影响最大。
蜂窝结构
压缩
negative Poisson's ratio
honeycomb structure
compression
Abstract
The compression process of the thermoplastic polyurethane elastomer honeycomb structure was simulated by the finite element model, and was verified by experiments. The influence of the cell concave angle, width and wall thickness on the Poisson's ratio and energy absorption of honeycomb structure was studied by this model. The results show that the model could simulate the compression process of the honeycomb structure accurately, and the relative error of the peak stress of test and simulation was within 10%. When the concave angle was negative, the honeycomb structure had negative Poisson's ratio, and the energy absorption was larger than that of honeycomb structures with positive concave angle. The smaller the cell width or the larger the cell wall thickness, the greater the energy absorption of the honeycomb structure. With the cell concave angle of -30°, the width of 1 mm, and the wall thickness of 1 mm, the honeycomb structure had the best energy absorption effect. The concave angle had the greatest influence on the Poisson's ratio and energy absorption of the honeycomb structure.
中图分类号 TB39 DOI 10.11973/jxgccl202103014
所属栏目 物理模拟与数值模拟
基金项目 国家自然科学基金青年科学基金项目（52005504）；国家重点研发计划项目（2018YFC1902400）；北京市科技计划课题项目（Z191100002719009）
收稿日期 2020/5/21
修改稿日期 2020/12/21
网络出版日期
作者单位点击查看
备注严效男(1994-),男,江苏宿迁人,硕士研究生
引用该论文: YAN Xiaonan,WANG Rong,CHEN Yongxiong,CHENG Yanhai,LIANG Xiubing. Influence of Size of Honeycomb Structure on Poisson's Ratio and Energy Absorption[J]. Materials for mechancial engineering, 2021, 45(3): 71～75
严效男,王荣,陈永雄,程延海,梁秀兵. 胞元尺寸对六边形聚氨酯蜂窝结构泊松比和吸收能量的影响[J]. 机械工程材料, 2021, 45(3): 71～75
共有人对该论文发表了看法，其中：
人认为该论文很差
人认为该论文较差
人认为该论文一般
人认为该论文较好
人认为该论文很好
参考文献
【1】于靖军,谢岩,裴旭.负泊松比超材料研究进展[J].机械工程学报,2018,54(13):1-14. YU J J,XIE Y,PEI X.State-of-art of metamaterials with negative Poisson's ratio[J]. Journal of Mechanical Engineering, 2018, 54(13):1-14.
【2】WANG H,ZHANG Y X,LIN W Q,et al.A novel two-dimensional mechanical metamaterial with negative Poisson's ratio[J].Computational Materials Science, 2020,171:109232.
【3】JOHNSON A F,HOLZAPFEL M.Modelling soft body impact on composite structures[J].Composite Structures, 2003,61(1/2):103-113.
【4】MOZAFARI H,KHATAMI S,MOLATEFI H. Out of plane crushing and local stiffness determination of proposed foam filled sandwich panel for Korean tilting train express-numerical study[J].Materials & Design, 2015,66:400-411.
【5】张梗林,杨德庆.船舶宏观负泊松比蜂窝夹芯隔振器优化设计[J].振动与冲击,2013,32(22):68-72. ZHANG G L,YANG D Q. Optimization design of an auxetic honeycomb isolator in a ship[J]. Journal of Vibration and Shock, 2013, 32(22):68-72.
【6】杨星,于野,张伟,等.基于三维多胞结构的汽车吸能盒优化设计[J].大连理工大学学报,2017,57(4):331-336. YANG X,YU Y,ZHANG W,et al.Optimization design of automobile crash box based on 3D cellular structure[J].Journal of Dalian University of Technology,2017,57(4):331-336.
【7】夏利福,杨德庆.含负泊松比超材料构件的潜艇振动与声辐射性能分析[J].振动工程学报,2019,32(6):956-965. XIA L F,YANG D Q.Vibration and underwater sound radiation performance analysis of submarine with auxetic metamaterial ribs[J].Journal of Vibration Engineering,2019,32(6):956-965.
【8】MILLER W, HOOK P B, SMITH C W, et al. The manufacture and characterisation of a novel, low modulus, negative Poisson's ratio composite[J].Composites Science and Technology, 2009,69(5):651-655.
【9】BABAEE S,SHIM J,WEAVER J C,et al.3D soft metamaterials with negative poisson's ratio[J].Advanced Materials, 2013,25(36):5044-5049.
【10】SHUFRIN I,PASTERNAK E,DYSKIN A V.Negative Poisson's ratio in hollow sphere materials[J].International Journal of Solids and Structures, 2015,54:192-214.
【11】MILTON G W.Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots[J].Journal of the Mechanics and Physics of Solids, 2013,61(7):1543-1560.
【12】邓小林.分层梯变负泊松比蜂窝结构的面内冲击动力学分析[J].机械设计与制造,2016(4):219-223. DENG X L.In-plane impact dynamics analysis of a honeycomb structure with layer gradient negative Poisson's ratio[J].Machinery Design & Manufacture,2016(4):219-223.
【13】卢子兴,李康.负泊松比蜂窝动态压溃行为的有限元模拟[J].机械强度,2016,38(6):1237-1242. LU Z X,LI K.Dynamic crushing of honeycombs with a negative Poisson's ratio-A finite element study[J].Journal of Mechanical Strength,2016,38(6):1237-1242.
【14】YANG D U,LEE S,HUANG F Y.Geometric effects on micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method[J].Finite Elements in Analysis and Design, 2003,39(3):187-205.
【2】WANG H,ZHANG Y X,LIN W Q,et al.A novel two-dimensional mechanical metamaterial with negative Poisson's ratio[J].Computational Materials Science, 2020,171:109232.
【3】JOHNSON A F,HOLZAPFEL M.Modelling soft body impact on composite structures[J].Composite Structures, 2003,61(1/2):103-113.
【4】MOZAFARI H,KHATAMI S,MOLATEFI H. Out of plane crushing and local stiffness determination of proposed foam filled sandwich panel for Korean tilting train express-numerical study[J].Materials & Design, 2015,66:400-411.
【5】张梗林,杨德庆.船舶宏观负泊松比蜂窝夹芯隔振器优化设计[J].振动与冲击,2013,32(22):68-72. ZHANG G L,YANG D Q. Optimization design of an auxetic honeycomb isolator in a ship[J]. Journal of Vibration and Shock, 2013, 32(22):68-72.
【6】杨星,于野,张伟,等.基于三维多胞结构的汽车吸能盒优化设计[J].大连理工大学学报,2017,57(4):331-336. YANG X,YU Y,ZHANG W,et al.Optimization design of automobile crash box based on 3D cellular structure[J].Journal of Dalian University of Technology,2017,57(4):331-336.
【7】夏利福,杨德庆.含负泊松比超材料构件的潜艇振动与声辐射性能分析[J].振动工程学报,2019,32(6):956-965. XIA L F,YANG D Q.Vibration and underwater sound radiation performance analysis of submarine with auxetic metamaterial ribs[J].Journal of Vibration Engineering,2019,32(6):956-965.
【8】MILLER W, HOOK P B, SMITH C W, et al. The manufacture and characterisation of a novel, low modulus, negative Poisson's ratio composite[J].Composites Science and Technology, 2009,69(5):651-655.
【9】BABAEE S,SHIM J,WEAVER J C,et al.3D soft metamaterials with negative poisson's ratio[J].Advanced Materials, 2013,25(36):5044-5049.
【10】SHUFRIN I,PASTERNAK E,DYSKIN A V.Negative Poisson's ratio in hollow sphere materials[J].International Journal of Solids and Structures, 2015,54:192-214.
【11】MILTON G W.Complete characterization of the macroscopic deformations of periodic unimode metamaterials of rigid bars and pivots[J].Journal of the Mechanics and Physics of Solids, 2013,61(7):1543-1560.
【12】邓小林.分层梯变负泊松比蜂窝结构的面内冲击动力学分析[J].机械设计与制造,2016(4):219-223. DENG X L.In-plane impact dynamics analysis of a honeycomb structure with layer gradient negative Poisson's ratio[J].Machinery Design & Manufacture,2016(4):219-223.
【13】卢子兴,李康.负泊松比蜂窝动态压溃行为的有限元模拟[J].机械强度,2016,38(6):1237-1242. LU Z X,LI K.Dynamic crushing of honeycombs with a negative Poisson's ratio-A finite element study[J].Journal of Mechanical Strength,2016,38(6):1237-1242.
【14】YANG D U,LEE S,HUANG F Y.Geometric effects on micropolar elastic honeycomb structure with negative Poisson's ratio using the finite element method[J].Finite Elements in Analysis and Design, 2003,39(3):187-205.
相关信息
