Deformation behavior of curved structures with negative Poisson’s ratio under diverse loading velocities

LUO Weihong; HE Wanqing; WU Wenjun; LI Shiqiang; WANG Zhiyong

doi:10.11883/bzycj/2022-0520

Volume 43 Issue 11

Nov. 2023

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LUO Weihong, HE Wanqing, WU Wenjun, LI Shiqiang, WANG Zhiyong. Deformation behavior of curved structures with negative Poisson’s ratio under diverse loading velocities[J]. Explosion And Shock Waves, 2023, 43(11): 113102. doi: 10.11883/bzycj/2022-0520

Citation:

LUO Weihong, HE Wanqing, WU Wenjun, LI Shiqiang, WANG Zhiyong. Deformation behavior of curved structures with negative Poisson’s ratio under diverse loading velocities[J]. Explosion And Shock Waves, 2023, 43(11): 113102. doi: 10.11883/bzycj/2022-0520

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Deformation behavior of curved structures with negative Poisson’s ratio under diverse loading velocities

doi: 10.11883/bzycj/2022-0520

Institute of Applied Mechanics, College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, China

Received Date: 2022-11-16
Rev Recd Date: 2023-05-12

Available Online: 2023-05-31

Publish Date: 2023-11-17

Abstract

Abstract

High-porosity structures with negative Poisson’s ratio often experience severe stress fluctuations and significant peak stresses during energy absorption, which can easily cause local damage to the honeycomb structure and affect continuous energy absorption. In order to reduce the occurrence of local damage, an anti-symmetric arc-shaped cell element is designed based on the traditional negative Poisson’s ratio honeycomb cell element, and two new anti-symmetric negative Poisson’s ratio arc-shaped honeycomb structures are obtained through different array directions. Through 0.0025 m/s (quasi-static) compression test and 10 m/s (low velocity), 50 m/s (medium velocity) and 100 m/s (high velocity) finite element simulation, the effect of velocity gradient on the overall deformation pattern, horizontal strain distribution of different layers, deformation mechanism, and impact resistance of the new anti-symmetric arc-shaped honeycomb structure model are revealed. The research results show that unlike the large number of local densification areas that appear in traditional negative Poisson’s ratio honeycomb models, the local densification bands in the new anti-symmetric negative Poisson’s ratio arc-shaped honeycomb structure are significantly reduced. The deformation areas composed of multiple layers of cells in the structure participate in deformation at the same time, showing a very stable deformation pattern as a whole. This is closely related to the increase in maximum horizontal strain and the enhancement of impact resistance of the new honeycomb structure. Especially under the medium-speed loading, the impact resistance of the new anti-symmetric arc-shaped honeycomb model is significantly enhanced, and the impact load efficiency reaches 78%, which is much higher than the 43% impact load efficiency of the traditional honeycomb model; in addition, the anti-symmetric arc-shaped honeycomb structure cells also drive the cell walls between adjacent cells to bend upwards to resist bending moments, further increasing the maximum horizontal strain. Under low-speed loading, the maximum horizontal strain of the two types of new anti-symmetric arc-shaped honeycomb models increases by 100% and 36%, respectively. Under medium-speed loading, it increases by 39% for both types.
- honeycomb structure,
- cell design,
- deformation behavior,
- negative Poisson’s ratio effect,
- loading velocity effect

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References(23)

References

[1]	YAO Y Z, SHEN Y X, ZHU L Q, et al. Preliminary study and bioinformatics analysis on the potential role of CagQ in type IV secretion system of H. pylori [J]. Microbial Pathogenesis, 2018, 116: 1–7. DOI: 10.1016/j.micpath.2017.12.076.
[2]	KUMAR P, KUCHEROV L, RYVKIN M. Fracture toughness of self-similar hierarchical material [J]. International Journal of Solids and Structures, 2020, 203: 210–223. DOI: 10.1016/j.ijsolstr.2020.07.011.
[3]	WANG Z G. Recent advances in novel metallic honeycomb structure [J]. Composites Part B: Engineering, 2019, 166: 731–741. DOI: 10.1016/j.compositesb.2019.02.011.
[4]	SPADONI A, RUZZENE M, SCARPA F. Dynamic response of chiral truss-core assemblies [J]. Journal of Intelligent Material Systems and Structures, 2006, 17(11): 941–952. DOI: 10.1177/1045389x06060219.
[5]	QI C, JIANG F, YANG S, et al. Dynamic crushing response of novel re-entrant circular auxetic honeycombs: numerical simulation and theoretical analysis [J]. Aerospace Science and Technology, 2022, 124: 107548. DOI: 10.1016/j.ast.2022.107548.
[6]	LI S Q, YU B L, KARAGIOZOVA D, et al. Experimental, numerical, and theoretical studies of the response of short cylindrical stainless steel tubes under lateral air blast loading [J]. International Journal of Impact Engineering, 2019, 124: 48–60. DOI: 10.1016/j.ijimpeng.2018.10.004.
[7]	ALMGREN R F. An isotropic three-dimensional structure with Poisson’s ratio=−1 [J]. Journal of Elasticity, 1985, 15(4): 427–430. DOI: 10.1007/BF00042531.
[8]	WILT J K, YANG C, GU G X. Accelerating auxetic metamaterial design with deep learning [J]. Advanced Engineering Materials, 2020, 22(5): 1901266. DOI: 10.1002/adem.201901266.
[9]	韩会龙, 张新春. 星形节点周期性蜂窝结构的面内动力学响应特性研究 [J]. 振动与冲击, 2017, 36(23): 223–231. DOI: 10.13465/j.cnki.jvs.2017.23.033. HAN H L, ZHANG X C. In-plane dynamic impact response characteristics of periodic 4-point star-shaped honeycomb structures [J]. Journal of Vibration and Shock, 2017, 36(23): 223–231. DOI: 10.13465/j.cnki.jvs.2017.23.033.
[10]	XIAO D B, DONG Z C, LI Y, et al. Compression behavior of the graded metallic auxetic reentrant honeycomb: experiment and finite element analysis [J]. Materials Science and Engineering: A, 2019, 758: 163–171. DOI: 10.1016/j.msea.2019.04.116.
[11]	ZHANG J J, LU G X. Dynamic tensile behaviour of re-entrant honeycombs [J]. International Journal of Impact Engineering, 2020, 139: 103497. DOI: 10.1016/j.ijimpeng.2019.103497.
[12]	HU L L, ZHOU M Z, DENG H. Dynamic crushing response of auxetic honeycombs under large deformation: theoretical analysis and numerical simulation [J]. Thin-Walled Structures, 2018, 131: 373–384. DOI: 10.1016/j.tws.2018.04.020.
[13]	JIN X C, WANG Z H, NING J G, et al. Dynamic response of sandwich structures with graded auxetic honeycomb cores under blast loading [J]. Composites Part B: Engineering, 2016, 106: 206–217. DOI: 10.1016/j.compositesb.2016.09.037.
[14]	FENG J W, FU J Z, YAO X H, et al. Triply periodic minimal surface (TPMS) porous structures: from multi-scale design, precise additive manufacturing to multidisciplinary applications [J]. International Journal of Extreme Manufacturing, 2022, 4(2): 022001. DOI: 10.1088/2631-7990/ac5be6.
[15]	DONG Z C, LI Y, ZHAO T, et al. Experimental and numerical studies on the compressive mechanical properties of the metallic auxetic reentrant honeycomb [J]. Materials & Design, 2019, 182: 108036. DOI: 10.1016/j.matdes.2019.108036.
[16]	韩会龙, 张新春, 王鹏. 负泊松比蜂窝材料的动力学响应及能量吸收特性 [J]. 爆炸与冲击, 2019, 39(1): 013103. DOI: 10.11883/bzycj-2017-0281. HAN H L, ZHANG X C, WANG P. Dynamic responses and energy absorption properties of honeycombs with negative Poisson’s ratio [J]. Explosion and Shock Waves, 2019, 39(1): 013103. DOI: 10.11883/bzycj-2017-0281.
[17]	GUO Y G, ZHANG J, CHEN L M, et al. Deformation behaviors and energy absorption of auxetic lattice cylindrical structures under axial crushing load [J]. Aerospace Science and Technology, 2020, 98: 105662. DOI: 10.1016/j.ast.2019.105662.
[18]	XIAO D B, KANG X, LI Y, et al. Insight into the negative Poisson’s ratio effect of metallic auxetic reentrant honeycomb under dynamic compression [J]. Materials Science and Engineering: A, 2019, 763: 138151. DOI: 10.1016/j.msea.2019.138151.
[19]	LIU W Y, WANG N L, LUO T, et al. In-plane dynamic crushing of re-entrant auxetic cellular structure [J]. Materials & Design, 2016, 100: 84–91. DOI: 10.1016/j.matdes.2016.03.086.
[20]	KOOISTRA G W, DESHPANDE V S, WADLEY H N G. Compressive behavior of age hardenable tetrahedral lattice truss structures made from aluminium [J]. Acta Materialia, 2004, 52(14): 4229–4237. DOI: 10.1016/j.actamat.2004.05.039.
[21]	GIBSON L J, ASHBY M F. Cellular solids: structure and properties [M]. 2nd ed. Cambridge: Cambridge University Press, 1997: 1-13. DOI: 10.1017/CBO9781139878326.
[22]	QIU X M, ZHANG J, YU T X. Collapse of periodic planar lattices under uniaxial compression, part Ⅱ: dynamic crushing based on finite element simulation [J]. International Journal of Impact Engineering, 2009, 36(10/11): 1231–1241. DOI: 10.1016/j.ijimpeng.2009.05.010.
[23]	SUN D Q, ZHANG W H, ZHAO Y C, et al. In-plane crushing and energy absorption performance of multi-layer regularly arranged circular honeycombs [J]. Composite Structures, 2013, 96: 726–735. DOI: 10.1016/j.compstruct.2012.10.008.