四边手性蜂窝动态压溃行为的数值模拟

卢子兴; 李康

doi:10.11883/1001-1455(2014)02-0181-07

摘要: 建立了四边手性蜂窝的有限元模型，采用数值模拟方法研究了四边手性蜂窝在不同冲击速度下的变形模式和能量吸收等动力学响应特性，并同普通六边形蜂窝的冲击行为进行了对比。计算得到了这2种蜂窝的变形模式图、动力响应曲线和能量吸收曲线。模拟结果表明：低速冲击下，四边形手性蜂窝的变形模式为“Z”字形；高速冲击下，四边手性蜂窝的变形模式与普通蜂窝的“I”字形模式类似；在适中速度的冲击下，四边手性蜂窝表现出兼具高速冲击和低速冲击特征的一种过渡态变形模式；随着冲击速度的提高，局部变形带由固定端向冲击端移动，并且能量吸收能力也随之提高；在中、低速度的冲击下，能够观察到拉胀材料压缩时特有的“缩颈”现象。

关键词:

Abstract: A finite element model was developed for tetrachiral honeycombs.By using the developed model, numerical simulations were conducted to explore the deformation modes and energy absorption properties of the tetrachiral honeycombs subjected to different impact velocities.And the corresponding numerical simulations were carried out on hexagonal honeycombs by applying the existent model.The deformation mode diagrams and the dynamic response curves for two kinds of honeycombs were obtained.At low impact velocities, the deformation of tetrachiral honeycombs is of"Z"mode.At high impact velocities, "I"deformation mode is observed in tetrachiral honeycombs when crushing, which is similar to traditional honeycombs.And a transitional deformation mode is present in tetrachiral honeycombs subjected to moderate impact velocities.As the impact velocity increases, the localized bands transit from the fixed end to the impact end and the tetrachiral honeycombs display higher energy absorption capacities.When the velocity is low or moderate, the auxetic honeycombs display the unique shrinkage under dynamic compression.

Key words:

图 1 四边手性蜂窝单元

Figure 1. Diagram of tetrachiral cell

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图 2 蜂窝材料的有限元模型

Figure 2. FE models of honeycombs

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图 3 冲击速度为7.0m/s时六边形蜂窝的变形模式

Figure 3. Deformation modes of hexagonal honeycombs under the impact velocity of 7.0m/s

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图 4 冲击速度为70.0m/s时六边形蜂窝的变形模式

Figure 4. Deformation modes of hexagonal honeycombs under the impact velocity of 70.0m/s

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图 5 冲击速度为3.5m/s是四边手性蜂窝的变形模式

Figure 5. Deformation modes of tetrachiral honeycombs under the impact velocity of 3.5m/s

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图 6 冲击速度为56.0m/s是四边手性蜂窝的变形模式

Figure 6. Deformation modes of tetrachiral honeycombs under the impact velocity of 56.0m/s

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图 7 冲击速度为140.0m/s是四边手性蜂窝的变形模式

Figure 7. Deformation modes of tetrachiral honeycombs under the impact velocity of 140.0m/s

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图 8 不同速度冲击下四边手性蜂窝结构的压缩反力和压缩位移的变化曲线

Figure 8. Dynamic force-displacement curves of tetrachiral honeycombs under different impact velocities

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图 9 不同速度冲击下四边手性蜂窝结构的能量吸收曲线

Figure 9. Energy absorption for tetrachiral honeycombs under different impact velocities

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图 10 单位体积的四边手性蜂窝结构与正六边形蜂窝的能量吸收能力

Figure 10. Energy absorption per unit volume for tetrachiral and hexagonal honeycombs

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[1]	Gibson L J, Ashby M F. Cellular solids: Structure and properties[M]. 2nd ed. Cambridge: Cambridge University Press, 1997.
[2]	Liu Q. Literature review: Materials with negative poisson's ratios and potential applications to aerospace and defence[R]. Victoria, Australia: Defence Science and Technology Organisation, 2006.
[3]	Alderson A, Alderson K L. Auxetic materials[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2007, 221: 565-575. doi: 10.1243/09544100JAERO185
[4]	卢子兴, 刘强, 杨振宇.拉胀泡沫材料力学性能[J].宇航材料工艺, 2010(1): 7-13. Lu Zi-xing, Liu Qiang, Yang Zhen-yu. Mechanical properties of auxetic foams[J]. Aerospace Materials & Technology, 2010(1): 7-13.
[5]	Prawoto Y. Seeing auxetic materials from the mechanics point of view: A structural review on the negative Poisson's ratio[J]. Composites Science and Technology, 2012, 58: 140-153. https://www.sciencedirect.com/science/article/pii/S092702561200078X
[6]	卢子兴, 郭宇.金属泡沫材料力学行为的研究概述[J].北京航空航天大学学报, 2003, 29(11): 978-983. doi: 10.3969/j.issn.1001-5965.2003.11.005 Lu Zi-xing, Guo Yu. Brief review of studies on the mechanical behavior of metallic foams[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(11): 978-983. doi: 10.3969/j.issn.1001-5965.2003.11.005
[7]	刘颖, 何章权, 吴鹤翔, 等.分层递变梯度蜂窝材料的面内冲击性能[J].爆炸与冲击, 2011, 31(3): 225-231. doi: 10.11883/1001-1455(2011)03-0225-07 Liu Ying, He Zhang-quan, Wu He-xiang, et al. In-plane dynamic crushing of functionally layered metal honeycombs[J]. Explosion and Shock Waves, 2011, 31(3): 225-231. doi: 10.11883/1001-1455(2011)03-0225-07
[8]	Amin A, Hamid N H, Ashkan V. Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures[J]. International Journal of Solids and Structures, 2011, 48(3/4): 506-516. https://www.sciencedirect.com/science/article/pii/S0020768310003720
[9]	Prall D, Lakes R S. Properties of a chiral honeycomb with a Poisson's ratio of-1[J]. International Journal of Mechanical and Science, 1996, 39(3): 305-314. https://www.sciencedirect.com/science/article/pii/S0020740396000252
[10]	Alderson A, Alderson K L, Attard D, et al. Elastic constants of 3-, 4-and 6-connected chiral and antichiral honeycombs subject to uniaxial in-plane loading[J]. Composites Science and Technology, 2010, 70(7): 1042-1048. doi: 10.1016/j.compscitech.2009.07.009
[11]	Spadoni A, Ruzzene M. Elasto-static micropolar behavior of a chiral auxetic lattice[J]. Journal of the Mechanics and Physics of Solids, 2012, 60(1): 156-171. doi: 10.1016/j.jmps.2011.09.012
[12]	Dos Reis F, Ganghoffer J F. Equivalent mechanical properties of auxetic lattices from discrete homogenization[J]. Computational Materials Science, 2012, 51(1): 314-321. doi: 10.1016/j.commatsci.2011.07.014
[13]	Dirrenberger J, Forest S, Jeulin D, et al. Homogenization of periodic auxetic materials[J]. Procedia Engineering, 2011, 10: 1847-1852. doi: 10.1016/j.proeng.2011.04.307
[14]	卢子兴, 赵亚斌.一种有负泊松比效应的二维多胞材料力学模型[J].北京航空航天大学学报, 2006, 32(5): 594-597. doi: 10.3969/j.issn.1001-5965.2006.05.022 Lu Zi-xing, Zhao Ya-bin. Mechanical model of two-dimensional cellular materials with negative Poisson's ratio[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(5): 594-597. doi: 10.3969/j.issn.1001-5965.2006.05.022
[15]	Ruan D, Lu G, Wang B, et al. In-plane dynamic crushing of honeycombs: A finite element study[J]. International Journal of Impact Engineering, 2003, 28(2): 161-182. doi: 10.1016/S0734-743X(02)00056-8

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