Dynamic response analysis of cellular projectile impacting foam sandwich beam

ZHANG Yuanrui; ZHU Yudong; WANG Kehong; ZHOU Qi; YU Jilin; ZHENG Zhijun

doi:10.11883/bzycj-2024-0045

Volume 44 Issue 9

Sep. 2024

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Article Navigation > Explosion And Shock Waves > 2024 > 44(9): 091442

ZHANG Yuanrui, ZHU Yudong, WANG Kehong, ZHOU Qi, YU Jilin, ZHENG Zhijun. Dynamic response analysis of cellular projectile impacting foam sandwich beam[J]. Explosion And Shock Waves, 2024, 44(9): 091442. doi: 10.11883/bzycj-2024-0045

Citation:

ZHANG Yuanrui, ZHU Yudong, WANG Kehong, ZHOU Qi, YU Jilin, ZHENG Zhijun. Dynamic response analysis of cellular projectile impacting foam sandwich beam[J]. Explosion And Shock Waves, 2024, 44(9): 091442. doi: 10.11883/bzycj-2024-0045

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Dynamic response analysis of cellular projectile impacting foam sandwich beam

doi: 10.11883/bzycj-2024-0045

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, Anhui, China
2.
School of Materials Science and Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
3.
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Science, Beijing 100190, China

Received Date: 2024-01-29
Rev Recd Date: 2024-04-05

Available Online: 2024-04-07

Publish Date: 2024-09-20

Abstract

Abstract

Cellular projectiles are widely used in the impact tests of protective structures, but the actual loads of cellular projectiles acting on the tested sandwich structures are still unclear. To explore the coupling response process between the uniform/graded cellular projectile and the foam sandwich beam and the loading effect of cellular projectiles, theoretical analysis, numerical simulations, and impact tests were carried out. The foam sandwich beam was equivalent to a monolithic beam to simplify the analysis. Based on the shock wave model of the cellular projectile and the equivalent response model of the foam sandwich beam, a coupling analysis model of the cellular projectile impacting the foam sandwich beam was developed, and its governing equations were presented and solved numerically by the Runge-Kutta method. Meso-finite element simulations of a uniform/graded cellular projectile impacting a foam sandwich beam were carried out based on the 3D Voronoi technique. Impact tests were performed on the test platform of cellular projectiles, and the velocity response of the cellular projectiles and the foam sandwich beams was obtained by using a high-speed camera and a digital image processing technique. It is found that the coupling analysis model can accurately predict the velocity history curves of the cellular projectile and the foam sandwich beam, as well as the impact pressure of the cellular projectile. Subjected to cellular projectiles with the same initial momentum but different density distribution or initial velocity, foam sandwich beams with the same configuration present different mechanical response processes, which demonstrates that the impact of cellular projectiles cannot be simply equivalent to impulse loading, and the coupling effect between the projectile and the sandwich beam cannot be ignored. Compared with uniform cellular projectiles, the impact pressure waveform of the graded cellular projectile is sharper and shows stronger nonlinearity during its attenuation. This study clarifies the loading effect of cellular projectiles on foam sandwich beams and lays a theoretical foundation for the optimal design of cellular projectiles simulating blast loads.
- cellular projectile,
- foam sandwich beam,
- coupling analysis model,
- finite element simulation,
- impact test

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References(33)

References

[1]	GUO H Y, YUAN H, ZHANG J X, et al. Review of sandwich structures under impact loadings: experimental, numerical and theoretical analysis [J]. Thin-Walled Structures, 2024, 196: 111541. DOI: 10.1016/j.tws.2023.111541.
[2]	GAN E C J, REMENNIKOV A, RITZEL D, et al. Approximating a far-field blast environment in an advanced blast simulator for explosion resistance testing [J]. International Journal of Protective Structures, 2020, 11(4): 468–493. DOI: 10.1177/2041419620911133.
[3]	ESPINOSA H D, LEE S, MOLDOVAN N. A novel fluid structure interaction experiment to investigate deformation of structural elements subjected to impulsive loading [J]. Experimental Mechanics, 2006, 46(6): 805–824. DOI: 10.1007/s11340-006-0296-7.
[4]	GAN E C J, REMENNIKOV A, RITZEL D. Investigation of trees as natural protective barriers using simulated blast environment [J]. International Journal of Impact Engineering, 2021, 158: 104004. DOI: 10.1016/j.ijimpeng.2021.104004.
[5]	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.
[6]	RADFORD D D, DESHPANDE V S, FLECK N A. The use of metal foam projectiles to simulate shock loading on a structure [J]. International Journal of Impact Engineering, 2005, 31(9): 1152–1171. DOI: 10.1016/j.ijimpeng.2004.07.012.
[7]	RADFORD D D, FLECK N A, DESHPANDE V S. The response of clamped sandwich beams subjected to shock loading [J]. International Journal of Impact Engineering, 2006, 32(6): 968–987. DOI: 10.1016/j.ijimpeng.2004.08.007.
[8]	RATHBUN H J, RADFORD D D, XUE Z, et al. Performance of metallic honeycomb-core sandwich beams under shock loading [J]. International Journal of Solids and Structures, 2006, 43(6): 1746–1763. DOI: 10.1016/j.ijsolstr.2005.06.079.
[9]	TAGARIELLI V L, DESHPANDE V S, FLECK N A. The dynamic response of composite sandwich beams to transverse impact [J]. International Journal of Solids and Structures, 2007, 44(7/8): 2442–2457. DOI: 10.1016/j.ijsolstr.2006.07.015.
[10]	RUBINO V, DESHPANDE V S, FLECK N A. The dynamic response of end-clamped sandwich beams with a Y-frame or corrugated core [J]. International Journal of Impact Engineering, 2008, 35(8): 829–844. DOI: 10.1016/j.ijimpeng.2007.10.006.
[11]	JING L, WANG Z H, NING J G, et al. The dynamic response of sandwich beams with open-cell metal foam cores [J]. Composites Part B: Engineering, 2011, 42(1): 1–10. DOI: 10.1016/j.compositesb.2010.09.024.
[12]	JING L, WANG Z H, NING J G, et al. The mechanical response of metallic sandwich beams under foam projectile impact loading [J]. Latin American Journal of Solids and Structures, 2011, 8(1): 107–120. DOI: 10.1590/S1679-78252011000100006.
[13]	JING L, WANG Z H, ZHAO L M. The dynamic response of sandwich panels with cellular metal cores to localized impulsive loading [J]. Composites Part B: Engineering, 2016, 94: 52–63. DOI: 10.1016/j.compositesb.2016.03.035.
[14]	JING L, WANG Z H, ZHAO L M. Response of metallic cylindrical sandwich shells subjected to projectile impact: experimental investigations [J]. Composite Structures, 2014, 107: 36–47. DOI: 10.1016/j.compstruct.2013.07.011.
[15]	LI X, LI S Q, WANG Z H, et al. Response of aluminum corrugated sandwich panels under foam projectile impact: experiment and numerical simulation [J]. Journal of Sandwich Structures & Materials, 2017, 19(5): 595–615. DOI: 10.1177/1099636216630503.
[16]	LI X, ZHANG P W, LI S Q, et al. Dynamic response of aluminum honeycomb sandwich panels under foam projectile impact [J]. Mechanics of Advanced Materials and Structures, 2018, 25(8): 637–646. DOI: 10.1080/15376494.2017.1308595.
[17]	ZHAO Z, JING L. The response of clamped sandwich panels with layered-gradient aluminum foam cores to foam projectile impact [J]. Mechanics of Advanced Materials and Structures, 2020, 27(9): 744–753. DOI: 10.1080/15376494.2018.1495790.
[18]	魏建辉, 李旭, 黄威, 等. 高速冲击载荷下梯度金属泡沫夹芯梁的动态响应与失效 [J]. 爆炸与冲击, 2023, 43(5): 053301. DOI: 10.11883/bzycj-2022-0156. WEI J H, LI X, HUANG W, et al. Dynamic response and failure of sandwich beams with graded metal foam core under high-velocity impact [J]. Explosion and Shock Waves, 2023, 43(5): 053301. DOI: 10.11883/bzycj-2022-0156.
[19]	ZHANG J X, ZHU Y Q, LI K K, et al. Dynamic response of sandwich plates with GLARE face-sheets and honeycomb core under metal foam projectile impact: Experimental and numerical investigations [J]. International Journal of Impact Engineering, 2022, 164: 104201. DOI: 10.1016/j.ijimpeng.2022.104201.
[20]	XIAO D B, CHEN X Q, LI Y, et al. The structure response of sandwich beams with metallic auxetic honeycomb cores under localized impulsive loading: experiments and finite element analysis [J]. Materials & Design, 2019, 176: 107840. DOI: 10.1016/j.matdes.2019.107840.
[21]	LI Y, CHEN Z H, XIAO D B, et al. The dynamic response of shallow sandwich arch with auxetic metallic honeycomb core under localized impulsive loading [J]. International Journal of Impact Engineering, 2020, 137: 103442. DOI: 10.1016/j.ijimpeng.2019.103442.
[22]	CHEN Z H, LIU L W, GAO S L, et al. Dynamic response of sandwich beam with star-shaped reentrant honeycomb core subjected to local impulsive loading [J]. Thin-Walled Structures, 2021, 161: 107420. DOI: 10.1016/j.tws.2020.107420.
[23]	YU R P, WANG X, ZHANG Q C, et al. Effects of sand filling on the dynamic response of corrugated core sandwich beams under foam projectile impact [J]. Composites Part B: Engineering, 2020, 197: 108135. DOI: 10.1016/j.compositesb.2020.108135.
[24]	WANG X, YU R P, ZHANG Q C, et al. Dynamic response of clamped sandwich beams with fluid-filled corrugated cores [J]. International Journal of Impact Engineering, 2020, 139: 103533. DOI: 10.1016/j.ijimpeng.2020.103533.
[25]	张元瑞, 朱玉东, 郑志军, 等. 泡沫子弹冲击固支单梁的耦合分析模型 [J]. 力学学报, 2022, 54(8): 2161–2172. DOI: 10.6052/0459-1879-22-223. ZHANG Y R, ZHU Y D, ZHENG Z J, et al. A coupling analysis model of clamped monolithic beam impacted by foam projectiles [J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(8): 2161–2172. DOI: 10.6052/0459-1879-22-223.
[26]	RADFORD D D, MCSHANE G J, DESHPANDE V S, et al. The response of clamped sandwich plates with metallic foam cores to simulated blast loading [J]. International Journal of Solids and Structures, 2006, 43(7/8): 2243–2259. DOI: 10.1016/j.ijsolstr.2005.07.006.
[27]	WANG Z H, JING L, NING J G, et al. The structural response of clamped sandwich beams subjected to impact loading [J]. Composite Structures, 2011, 93(4): 1300–1308. DOI: 10.1016/j.compstruct.2010.05.011.
[28]	QIU X, DESHPANDE V S, FLECK N A. Impulsive loading of clamped monolithic and sandwich beams over a central patch [J]. Journal of the Mechanics and Physics of Solids, 2005, 53(5): 1015–1046. DOI: 10.1016/j.jmps.2004.12.004.
[29]	YUE Z S, WANG X, HE C, et al. Elevated shock resistance of all-metallic sandwich beams with honeycomb-supported corrugated cores [J]. Composites Part B: Engineering, 2022, 242: 110102. DOI: 10.1016/j.compositesb.2022.110102.
[30]	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.
[31]	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.
[32]	LI Q M, JONES N. Shear and adiabatic shear failures in an impulsively loaded fully clamped beam [J]. International Journal of Impact Engineering, 1999, 22(6): 589–607. DOI: 10.1016/S0734-743X(99)00013-5.
[33]	ZHANG Y R, ZHU Y D, CHANG B X, et al. Blast-loading simulators: Multiscale design of graded cellular projectiles considering projectile-beam coupling effect [J]. Journal of the Mechanics and Physics of Solids, 2023, 180: 105402. DOI: 10.1016/j.jmps.2023.105402.