Design of gradient foam metal materials with a constant impact load

CHANG Baixue; ZHENG Zhijun; ZHAO Kai; HE Siyuan; YU Jilin

doi:10.11883/bzycj-2018-0431

Volume 39 Issue 4

Mar. 2019

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CHANG Baixue, ZHENG Zhijun, ZHAO Kai, HE Siyuan, YU Jilin. Design of gradient foam metal materials with a constant impact load[J]. Explosion And Shock Waves, 2019, 39(4): 041101. doi: 10.11883/bzycj-2018-0431

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CHANG Baixue, ZHENG Zhijun, ZHAO Kai, HE Siyuan, YU Jilin. Design of gradient foam metal materials with a constant impact load[J]. Explosion And Shock Waves, 2019, 39(4): 041101. doi: 10.11883/bzycj-2018-0431

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Design of gradient foam metal materials with a constant impact load

doi: 10.11883/bzycj-2018-0431

CHANG Baixue^{1, 2
,},
ZHENG Zhijun^{1
,
,},
ZHAO Kai¹,
HE Siyuan³,
YU Jilin¹

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace,Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
3.
State Key Laboratory of Bioelectronics, Southeast University, Nanjing 210096, Jiangsu, China

Received Date: 2018-10-31
Rev Recd Date: 2018-12-07

Available Online: 2019-04-25

Publish Date: 2019-04-01

Abstract

Abstract

Cellular materials can absorb a large amount of impact energy with large deformation, and their crashworthiness may be improved by introducing density gradients. The macroscopic mechanical responses of graded cellular materials are very sensitive to their relative density distributions and the effects of meso-structures can be very different. Some of existing studies is mainly limited to the analysis on the dynamic mechanical response of graded cellular material with a given density gradient, and less on the crashworthiness design method is considered. Based on the nonlinear plastic shock wave model, a backward crashworthiness design method is developed for graded foams. A simplified model and an asymptotic solution are derived by applying the series method with the aim of maintaining a constant load on the impact object. The cell-based finite element models based on three-dimensional Voronoi structures with density continuously changing are constructed by applying the variable cell size method. The theoretical design is verified by using finite element software ABAQUS/Explicit. The numerical simulation results show that the asymptotic solution of the simplified model is effective for the crashworthiness design of graded foams, and the proposed crashworthiness design method is of instructive significance in controlling the energy absorption and impact process.
- graded cellular materials,
- crashworthiness,
- asymptotic solution,
- shock wave model,
- cell-based finite element model

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References(25)

References

[1]	REID S R, PENG C. Dynamic uniaxial crushing of wood [J]. International Journal of Impact Engineering, 1997, 19(5−6): 531–570. DOI: 10.1016/s0734-743x(97)00016-x.
[2]	华云龙, 余同希. 多胞材料的力学行为 [J]. 力学进展, 1990, 21(4): 457–469. DOI: 10.6052/1000-0992-1991-4-J1991-052 HUA Yunlong, YU Tongxi. Mechanical behavior of cellular solids [J]. Advances in Mechanics, 1990, 21(4): 457–469. DOI: 10.6052/1000-0992-1991-4-J1991-052
[3]	ELNASRI I, PATTOFATTO S, ZHAO H, et al. Shock enhancement of cellular structures under impact loading: part Ⅰ experiments [J]. Journal of the Mechanics and Physics of Solids, 2007, 55(12): 2652–2671. DOI: 10.1016/j.jmps.2007.04.005.
[4]	GIBSON L J, ASHBY M F. Cellular solids: structure and properties [M]. Cambridge: Cambridge University Press, 1999.
[5]	CUI L, KIERNAN S, GILCHRIST M D. Designing the energy absorption capacity of functionally graded foam materials [J]. Materials Science and Engineering: A, 2009, 507(1): 215–225. DOI: 10.1016/j.msea.2008.12.011.
[6]	WANG X K, ZHENG Z J, YU J L, et al. Impact resistance and energy absorption of functionally graded cellular structures [J]. Applied Mechanics and Materials, 2011, 69: 73−78. DOI: 10.4028/www.scientific.net/AMM.69.73.
[7]	WANG X K, ZHENG Z J, YU J L. Crashworthiness design of density-graded cellular metals [J]. Theoretical and Applied Mechanics Letters, 2013, 3(3): 031001. DOI: 10.1063/2.1303101.
[8]	SHEN C J, YU T X, LU G X. Double shock mode in graded cellular rod under impact [J]. International Journal of Solids and Structures, 2013, 50(1): 217–233. DOI: 10.1016/j.ijsolstr.2012.09.021.
[9]	ZHENG J, QIN Q, WANG T J. Impact plastic crushing and design of density-graded cellular materials [J]. Mechanics of Materials, 2016, 94: 66–78. DOI: 10.1016/j.mechmat.2015.11.014.
[10]	SHEN C J, LU G X, YU T X. Investigation into the behavior of a graded cellular rod under impact [J]. International Journal of Impact Engineering, 2014, 74: 92–106. DOI: 10.1016/j.ijimpeng.2014.02.015.
[11]	ZHENG Z J, WANG C F, YU J L, et al. Dynamic stress-strain states for metal foams using a 3D cellular model [J]. Journal of the Mechanics and Physics of Solids, 2014, 72: 93–114. DOI: 10.1016/j.jmps.2014.07.013.
[12]	蔡正宇, 丁圆圆, 王士龙, 等. 梯度多胞牺牲层的抗爆炸分析 [J]. 爆炸与冲击, 2017, 37(3): 396–404. DOI: 10.11883/1001-1455(2017)03-0396-09 CAI Zhengyu, DING Yuanyuan, WANG Shilong, et al. Anti-blast analysis of graded cellular sacrificial cladding [J]. Explosion and Shock Waves, 2017, 37(3): 396–404. DOI: 10.11883/1001-1455(2017)03-0396-09
[13]	YANG J, WANG S L, DING Y Y, et al. Crashworthiness of graded cellular materials: a design strategy based on a nonlinear plastic shock model [J]. Materials Science and Engineering: A, 2017, 680: 411–420. DOI: 10.1016/j.msea.2016.11.010.
[14]	DING Y Y, WANG S L, ZHAO K, et al. Blast alleviation of cellular sacrificial cladding: a nonlinear plastic shock model [J]. International Journal of Applied Mechanics, 2016, 8(4): 1650057. DOI: 10.1142/S1758825116500575.
[15]	LI K, GAO X L, WANG J. Dynamic crushing behavior of honeycomb structures with irregular cell shapes and non-uniform cell wall thickness [J]. International Journal of Solids and Structures, 2007, 44(14−15): 5003–5026. DOI: 10.1016/j.ijsolstr.2006.12.017.
[16]	AJDARI A, NAYEB-HASHEMI H, VAZIRI A. 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. DOI: 10.1016/j.ijsolstr.2010.10.018.
[17]	张新春, 刘颖. 密度梯度蜂窝材料动力学性能研究 [J]. 工程力学, 2012, 29(8): 372–377. DOI: 10.6052/j.issn.1000-4750.2010.12.0872 ZHANG Xinchun, LIU Ying. Research on the dynamic crushing of honeycombs with density gradient [J]. Engineering Mechanics, 2012, 29(8): 372–377. DOI: 10.6052/j.issn.1000-4750.2010.12.0872
[18]	吴鹤翔, 刘颖. 梯度变化对密度梯度蜂窝材料力学性能的影响 [J]. 爆炸与冲击, 2013, 33(2): 163–168. DOI: 10.3969/j.issn.1001-1455.2013.02.008 WU Hexiang, LIU Ying. Influences of density gradient variation on mechanical performances of density-graded honeycomb materials [J]. Explosion and Shock Waves, 2013, 33(2): 163–168. DOI: 10.3969/j.issn.1001-1455.2013.02.008
[19]	FAN J H, ZHANG J J, WANG Z H, et al. Dynamic crushing behavior of random and functionally graded metal hollow sphere foams [J]. Materials Science and Engineering: A, 2013, 561: 352–361. DOI: 10.1016/j.msea.2012.10.026.
[20]	ZHANG J J, WANG Z H, ZHAO L M. Dynamic response of functionally graded cellular materials based on the Voronoi model [J]. Composites Part B: Engineering, 2016, 85: 176–187. DOI: 10.1016/j.compositesb.2015.09.045.
[21]	CHEN D, KITIPORNCHAI S, YANG J. Dynamic response and energy absorption of functionally graded porous structures [J]. Materials & Design, 2018, 140: 473–487. DOI: 10.1016/j.matdes.2017.12.019.
[22]	常白雪, 郑志军, 赵凯, 等. 梯度多胞材料耐撞性设计的简化模型和渐近解 [J]. 中国科学: 物理学力学天文学, 2018, 48(9): 094615. DOI: 10.1360/SSPMA2018-00162 CHANG Baixue, ZHENG Zhijun, ZHAO Kai, et al. A simplified model and its asymptotic solution for the crashworthiness design of graded cellular material [J]. Scientia Sinica: Physica, Mechanica & Astronomica, 2018, 48(9): 094615. DOI: 10.1360/SSPMA2018-00162
[23]	DING Y Y, WANG S L, ZHENG Z J, et al. Dynamic crushing of cellular materials: a unique dynamic stress–strain state curve [J]. Mechanics of Materials, 2016, 100: 219–31. DOI: 10.1016/j.mechmat.2016.07.001.
[24]	WANG P, ZHENG Z J, LIAO S F, et al. Strain-rate effect on initial crush stress of irregular honeycomb under dynamic loading and its deformation mechanism [J]. Acta Mechanica Sinica, 2018, 34(1): 117–129. DOI: 10.1007/s10409-017-0716-1.
[25]	HE S Y, ZHANG Y, DAI G, et al. Preparation of density-graded aluminum foam [J]. Materials Science and Engineering A, 2014, 618: 496–499. DOI: 10.1016/j.msea.2014.08.087.