留言板

尊敬的讀者、作者、審稿人, 關于本刊的投稿、審稿、編輯和出版的任何問題, 您可以本頁添加留言。我們將盡快給您答復。謝謝您的支持!

姓名
郵箱
手機號碼
標題
留言內容
驗證碼

多弧段曲邊內凹蜂窩可調泊松比結構的力學性能研究

郭之熙 肖俊華

郭之熙, 肖俊華. 多弧段曲邊內凹蜂窩可調泊松比結構的力學性能研究[J]. 工程力學, 2023, 40(10): 204-212, 236. doi: 10.6052/j.issn.1000-4750.2022.01.0093
引用本文: 郭之熙, 肖俊華. 多弧段曲邊內凹蜂窩可調泊松比結構的力學性能研究[J]. 工程力學, 2023, 40(10): 204-212, 236. doi: 10.6052/j.issn.1000-4750.2022.01.0093
GUO Zhi-xi, XIAO Jun-hua. MECHANICAL PROPERTIES OF MULTI-ARC CONCAVE HONEYCOMB STRUCTURE WITH ADJUSTABLE POISSON'S RATIO[J]. Engineering Mechanics, 2023, 40(10): 204-212, 236. doi: 10.6052/j.issn.1000-4750.2022.01.0093
Citation: GUO Zhi-xi, XIAO Jun-hua. MECHANICAL PROPERTIES OF MULTI-ARC CONCAVE HONEYCOMB STRUCTURE WITH ADJUSTABLE POISSON'S RATIO[J]. Engineering Mechanics, 2023, 40(10): 204-212, 236. doi: 10.6052/j.issn.1000-4750.2022.01.0093

多弧段曲邊內凹蜂窩可調泊松比結構的力學性能研究

doi: 10.6052/j.issn.1000-4750.2022.01.0093
基金項目: 河北省高等學??茖W技術研究重點項目(ZD2021104)
詳細信息
    作者簡介:

    郭之熙(1997?),男,湖北人,碩士生,主要從事機械超材料力學性能研究(E-mail: guozhixi97@163.com)

    通訊作者:

    肖俊華(1981?),男,河南人,教授,博士,主要從事復合材料力學研究(E-mail: xiaojunhua@ysu.edu.cn)

  • 中圖分類號: O342;TB383

MECHANICAL PROPERTIES OF MULTI-ARC CONCAVE HONEYCOMB STRUCTURE WITH ADJUSTABLE POISSON'S RATIO

  • 摘要: 該文提出一種多弧段曲邊內凹可調泊松比新型胞元。通過調整弧角,可以設計得到正泊松比、零泊松比和負泊松比的胞元結構。利用能量法求得結構的等效泊松比與等效彈性模量解析表達式,所得結果與有限元結果吻合較好?;谔岢龅男滦桶獦嫿ǘ喟涓C結構,利用數值方法討論了低速和高速沖擊作用下,正泊松比、零泊松比和負泊松比結構的沖擊變形失效行為與單位質量能量吸收率。研究發現:低速沖擊時,三種泊松比(正/零/負)結構的局部變形不同;高速沖擊時,慣性效應使局部變形集中在沖擊端,三種泊松比(正/零/負)結構的胞元變形模式不同。不論低速還是高速沖擊,負泊松比結構都表現出優異的吸能效果。隨著壁厚的增加,結構的吸能效果顯著增強。
  • 圖  1  分段弧邊內凹蜂窩胞元

    Figure  1.  Segmented concave honeycomb cell

    圖  2  靜力分析圖

    Figure  2.  Static analysis diagram

    圖  3  相對密度計算示意圖

    Figure  3.  Schematic diagram of relative density calculation

    圖  4  相對密度隨弧角的變化曲線

    Figure  4.  Variation of relative density with arc angle

    圖  5  等效泊松比隨弧角的變化曲線

    Figure  5.  Variation of equivalent Poisson's ratio with arc angle

    圖  6  等效彈性模量隨弧角的變化曲線

    Figure  6.  Variation of equivalent elastic modulus with arc angle

    圖  7  多胞元蜂窩結構

    Figure  7.  Multicellular honeycomb structure

    圖  8  低速沖擊 (7 m/s)

    Figure  8.  Low speed impact (7 m/s)

    圖  9  高速沖擊 (35 m/s)

    Figure  9.  High speed impact (35 m/s)

    圖  10  名義應力-應變曲線

    Figure  10.  Nominal stress-strain curve

    圖  11  能效參數

    Figure  11.  Energy efficiency parameter

    圖  12  單位質量的能量吸收值

    Figure  12.  Energy absorption of unit mass

    圖  13  不同壁厚下的單位質量能量吸收值

    Figure  13.  Energy absorption of unit mass at different wall thicknesses

    黑人大屌丝逼逼
  • [1] 任鑫, 張相玉, 謝億民. 負泊松比材料和結構的研究進展[J]. 力學學報, 2019, 51(3): 656 ? 689. doi: 10.6052/0459-1879-18-381

    REN Xin, ZHANG Xiangyu, XIE Yimin. Research progress in auxetic materials and structures [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 656 ? 689. (in Chinese) doi: 10.6052/0459-1879-18-381
    [2] EVANS K E, NKANSAH M A, HUTCHINSON I J, et al. Molecular network design [J]. Nature, 1991, 353(6340): 353124. doi: 10.1038/353124a0
    [3] REN X, DAS R, TRAN P, et al. Auxetic metamaterials and structures: A review [J]. Smart Materials & Structures, 2018, 27(2): 023001.
    [4] 吳文旺, 肖登寶, 孟嘉旭, 等. 負泊松比結構力學設計, 抗沖擊性能及在車輛工程應用與展望[J]. 力學學報, 2021, 53(3): 611 ? 638. doi: 10.6052/0459-1879-20-333

    WU Wenwang, XIAO Dengbao, MENG Jiaxu, et al. Mechanical design, impact energy absorption and applications of auxetic structures in automobile lightweight engineering [J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(3): 611 ? 638. (in Chinese) doi: 10.6052/0459-1879-20-333
    [5] ALDERSON A. A triumph of lateral thought [J]. Chemistry & Industry, 1999, 318(10): 384 ? 391.
    [6] ZHANG X C, AN L Q, DING H M, et al. The influence of cell micro-structure on the in-plane dynamic crushing of honeycombs with negative Poisson’s ratio [J]. Journal of Sandwich Structures & Materials, 2015, 17(1): 26 ? 55.
    [7] 于靖軍, 謝巖, 裴旭. 負泊松比超材料研究進展[J]. 機械工程學報, 2018, 54(13): 1 ? 14. doi: 10.3901/JME.2018.13.001

    YU Jingjun, XIE Yan, PEI Xu. State-of-art of metamaterials with negative Poisson’s ratio [J]. Journal of Mechanical Engineering, 2018, 54(13): 1 ? 14. (in Chinese) doi: 10.3901/JME.2018.13.001
    [8] CHOI J B, LAKES R S. Non-linear properties of metallic cellular materials with a negative Poisson's ratio [J]. Journal of Materials Science, 1992, 27(19): 5375 ? 5381. doi: 10.1007/BF02403846
    [9] GIBSON L J, ASHBY M F. The mechanics of two-dimensional cellular materials [J]. Proceedings of the Royal Society of London, 1982, 382(1782): 43 ? 59.
    [10] LAKES R S. Advances in negative Poisson's ratio materials [J]. Advanced Materials, 1993, 5(4): 293 ? 296. doi: 10.1002/adma.19930050416
    [11] ZHANG P W, WANG Z H, ZHAO L M. Dynamic crushing behavior of open-cell aluminum foam with negative Poisson’s ratio [J]. Applied Physics A-Materials Science & Processing, 2017, 123(5): 1 ? 11.
    [12] WANG T, AN J, HE H, et al. A novel 3D impact energy absorption structure with negative Poisson's ratio and its application in aircraft crashworthiness [J]. Composite Structures, 2021, 262: 113663. doi: 10.1016/j.compstruct.2021.113663
    [13] HU L L, LUO Z R, YIN Q Y. Negative Poisson's ratio effect of reentrant antitrichiral honeycombs under large deformation [J]. Thin-Walled Structures, 2019, 141: 283 ? 292. doi: 10.1016/j.tws.2019.04.032
    [14] 姚永永, 蘇步云, 肖革勝, 等. 內凹負泊松比蜂窩結構的面內雙軸沖擊響應[J]. 高壓物理學報, 2021, 35(2): 72 ? 79.

    YAO Yongyong, SU Buyun, XIAO Gesheng, et al. In-plane biaxial impact response of re-entrant auxetic honeycomb [J]. Chinese Journal of High Pressure Physics, 2021, 35(2): 72 ? 79. (in Chinese)
    [15] 任毅如, 蔣宏勇, 金其多, 等. 仿生負泊松比拉脹內凹蜂窩結構耐撞性[J]. 航空學報, 2021, 42(3): 1 ? 11.

    REN Yiru, JIANG Hongyong, JIN Qiduo, et al. Crashworthiness of bio-inspired auxetic reentrant honeycomb with negative Poisson's ratio [J]. Acta Aeronauticaet Astronautica Sinica, 2021, 42(3): 1 ? 11. (in Chinese)
    [16] NEDOUSHAN R J, AN Y, YU W R, et al. Novel triangular auxetic honeycombs with enhanced stiffness [J]. Composite Structures, 2021, 277(1): 114605.
    [17] DUAN S, XI L, WEN W, et al. A novel design method for 3D positive and negative Poisson's ratio material based on tension-twist coupling effects [J]. Composite Structures, 2020, 236: 111899. doi: 10.1016/j.compstruct.2020.111899
    [18] 張權, 高松林, 杜志鵬, 等. 星形梯度負泊松比蜂窩結構面內沖擊動態響應[J]. 武漢理工大學學報(交通科學與工程版), 2020, 44(5): 886 ? 891.

    ZHANG Quan, GAO Songlin, DU Zhipeng, et al. In-plane impact dynamic response of Star-shaped gradient negative Poisson’s ratio honeycomb structures [J]. Journal of Wuhan University of Technology (Transportation Science&Engineering), 2020, 44(5): 886 ? 891. (in Chinese)
    [19] 王梁, 劉海濤. X型內凹蜂窩結構的拉伸力學行為研究[J]. 機械強度, 2020, 42(4): 896 ? 900.

    WANG Liang, LIU Haitao. Study on tensile mechanical behavior of X-type re-entrant honeycomb structure [J]. Journal of Mechanical Strength, 2020, 42(4): 896 ? 900. (in Chinese)
    [20] ZHOU G, ZHAO W Z, MA Z D, et al. Multi-objective reliability design optimization of a novel side door negative Poisson's ratio impact beam [J]. Proceedings of the Institution of Mechanical Engineers Part D Journal of Automobile Engineering, 2018, 232(9): 1196 ? 1205. doi: 10.1177/0954407017728159
    [21] 夏利福, 楊德慶. 含負泊松比超材料肋板的雙層圓柱殼聲振性能分析[J]. 振動與沖擊, 2018, 37(18): 138 ? 144.

    XIA Lifu, YANG Deqing. Acoustics and vibration analysis of a double cylindrical shell with lightweight auxetic metamaterial ribs [J]. Journal of Vibration and Shock, 2018, 37(18): 138 ? 144. (in Chinese)
    [22] TAN H L, HE Z C, LI K X, et al. In-plane crashworthiness of re-entrant hierarchical honeycombs with negative Poisson’s ratio [J]. Composite Structures, 2019, 229: 111415. doi: 10.1016/j.compstruct.2019.111415
    [23] SHAO Y J, MENG J X, MA G H, et al. Insight into the negative Poisson's ratio effect of the gradient auxetic reentrant honeycombs [J]. Composite Structures, 2021, 274: 114366. doi: 10.1016/j.compstruct.2021.114366
    [24] FRANZISKA W, CAROLIN K. Phononic band gaps in 2D quadratic and 3D cubic cellular structures [J]. Materials, 2015, 8(12): 8327 ? 8337. doi: 10.3390/ma8125463
    [25] 蔣偉, 馬華, 王軍, 等. 基于環形蜂窩芯結構的負泊松比機械超材料[J]. 科學通報, 2016(13): 1421 ? 1427.

    JIANG Wei, MA Hua, WANG Jun, et al. Mechanical metamaterial with negative Poisson’s ratio based on circular honeycomb core [J]. Chinese Science Bulletin, 2016(13): 1421 ? 1427. (in Chinese)
    [26] 沈建邦, 肖俊華. 負泊松比可變弧角曲邊內凹蜂窩結構的力學性能[J]. 中國機械工程, 2019, 30(17): 2134 ? 2141.

    SHEN Jianbang, XIAO Junhua. Mechanics properties of negative Poisson’s ratio honeycomb structures with variable arc angle curved concave sides [J]. China Mechanical Engineering, 2019, 30(17): 2134 ? 2141. (in Chinese)
    [27] SHEN J B, GE J R, XIAO J H, et al. In-plane impact dynamics of honeycomb structure containing curved reentrant sides with negative Poisson’s ratio effect [J]. Mechanics of Advanced Materials and Structures, 2022, 29(10): 1489 ? 1497.
    [28] 尤澤華, 肖俊華, 王美芬. 弧邊內凹蜂窩負泊松比結構的力學性能[J]. 復合材料學報, 2022, 39(7): 3570 ? 3580. doi: 10.13801/j.cnki.fhclxb.20210729.003

    YOU Zehua, XIAO Junhua, WANG Meifen. Mechanical properties of concave honeycomb structure with negative Poisson's ratio [J]. Acta Materiae Compositae Sinica, 2022, 39(7): 3570 ? 3580. (in Chinese) doi: 10.13801/j.cnki.fhclxb.20210729.003
    [29] 虞科炯, 徐峰祥, 華林. 正弦曲邊負泊松比蜂窩結構面內沖擊性能研究[J]. 振動與沖擊, 2021, 40(13): 51 ? 59.

    YU Kejiong, XU Fengxiang, HUA Lin. In plane impact performance of honeycomb structure with sinusoidal curved edge and negative Poisson’s ratio [J]. Journal of Vibration and Shock, 2021, 40(13): 51 ? 59. (in Chinese)
    [30] 尤澤華, 肖俊華. 弧邊內凹蜂窩負泊松比結構的面內沖擊動力學數值研究[J]. 工程力學, 2022, 39(12): 248 ? 256. doi: 10.6052/j.issn.1000-4750.2021.07.0572

    YOU Zehua, XIAO Junhua. Numerical study on in-plane impact dynamics of concave honeycomb structure with negative Poisson's ratio [J]. Engineering Mechanics, 2022, 39(12): 248 ? 256. (in Chinese) doi: 10.6052/j.issn.1000-4750.2021.07.0572
    [31] 鄧小林, 劉旺玉. 一種負泊松比正弦曲線蜂窩結構的面內沖擊動力學分析[J]. 振動與沖擊, 2017, 36(13): 103 ? 109, 154.

    DENG Xiaolin, LIU Wangyu. In-plane impact dynamic analysis for a sinusoidal curved honeycomb structure with negative Poisson's ratio [J]. Journal of Vibration and Shock, 2017, 36(13): 103 ? 109, 154. (in Chinese)
    [32] 胡玲玲, 陳依驪. 三角形蜂窩在面內沖擊荷載下的力學性能[J]. 振動與沖擊, 2011, 30(5): 226 ? 229. doi: 10.3969/j.issn.1000-3835.2011.05.047

    HU Lingling, CHEN Yili. Mechanical properties of triangular honeycombs under in-plane impact loading [J]. Journal of Vibration and Shock, 2011, 30(5): 226 ? 229. (in Chinese) doi: 10.3969/j.issn.1000-3835.2011.05.047
    [33] GIBSON L J, ASHBY M F. Cellular solids: Structure and properties [M]. Cambridge: Cambridge University Press, 1997.
    [34] 朱翔, 尹曜, 王蕊, 等. 泡沫鋁填充薄壁鋁合金多胞構件與單胞構件吸能性能研究[J]. 工程力學, 2021, 38(5): 247 ? 256. doi: 10.6052/j.issn.1000-4750.2020.06.0428

    ZHU Xiang, YIN Yao, WANG Rui, et al. Energy absorption performance of thin-wall aluminum alloy multi-cell and single-cell components filled with aluminum foam [J]. Engineering Mechanics, 2021, 38(5): 247 ? 256. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.06.0428
    [35] 文桂林, 孔祥正, 尹漢鋒, 等. 泡沫填充夾芯墻多胞結構的耐撞性多目標優化設計[J]. 振動與沖擊, 2015, 34(5): 115 ? 121.

    WEN Guilin, KONG Xiangzheng, YIN Hanfeng, et al. Multi-objective crashworthiness optimization design of foam-filled sandwich wall multi-cell structures [J]. Journal of Vibration and Shock, 2015, 34(5): 115 ? 121. (in Chinese)
    [36] 沈建邦, 肖俊華, 梁希, 等. 負泊松比曲邊內凹蜂窩結構的面內沖擊動力學數值研究[J]. 中國機械工程, 2020, 31(16): 1998 ? 2004.

    SHEN Jianbang, XIAO Junhua, LIANG Xi, et al. Numerical study on in-plane impact dynamics of negative Poisson's ratio honeycomb structures with curved concave sides [J]. China Mechanical Engineering, 2020, 31(16): 1998 ? 2004. (in Chinese)
  • 加載中
圖(13)
計量
  • 文章訪問數:  354
  • HTML全文瀏覽量:  91
  • PDF下載量:  79
  • 被引次數: 0
出版歷程
  • 收稿日期:  2022-01-20
  • 修回日期:  2022-04-20
  • 錄用日期:  2022-05-27
  • 刊出日期:  2023-10-10

目錄

    /

    返回文章
    返回