Study on the impact energy absorption mechanism and packaging cushioning application of multilayer paper honeycomb structure

DENG Fayang; ZHANG Xiaoqing; WU Zhibin; LONG Shuchang; YANG Jie

doi:10.11883/bzycj-2026-0005

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Article Navigation > Explosion And Shock Waves > 2026 > Accepted Manuscript

DENG Fayang, ZHANG Xiaoqing, WU Zhibin, LONG Shuchang, YANG Jie. Study on the impact energy absorption mechanism and packaging cushioning application of multilayer paper honeycomb structure[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2026-0005

Citation:

DENG Fayang, ZHANG Xiaoqing, WU Zhibin, LONG Shuchang, YANG Jie. Study on the impact energy absorption mechanism and packaging cushioning application of multilayer paper honeycomb structure[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2026-0005

Citation:

DENG Fayang, ZHANG Xiaoqing, WU Zhibin, LONG Shuchang, YANG Jie. Study on the impact energy absorption mechanism and packaging cushioning application of multilayer paper honeycomb structure[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2026-0005

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Study on the impact energy absorption mechanism and packaging cushioning application of multilayer paper honeycomb structure

doi: 10.11883/bzycj-2026-0005

1.
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, Guangdong, China
2.
COMAC Shanghai Aircraft Design and Research Institute, Shanghai 201210 , China

Received Date: 2026-01-05
Rev Recd Date: 2026-03-16

Available Online: 2026-03-16

Abstract

Abstract

In the field of packaging design, the use of paper honeycomb structures largely relies on empirical experience, which often results in material waste. This study develops a rapid design method for packaging structures based on the fragility theory, under equal thickness constraints, utilizing the buffering characteristics of multi-layer paper honeycomb structures. By conducting static compression and dynamic impact tests, the force-displacement curves and energy absorption characteristics of different honeycomb configurations were obtained. Simultaneously, numerical simulation methods were used to reveal the deformation modes and mechanical response mechanisms of various configurations during the loading process. Based on the structural buffering characteristic data obtained from the experiments, a rapid parametric design of multi-layer honeycomb packaging structures was achieved, and the buffering performance of the design scheme was verified through finite element models. The results show that in the static compression test, the triple-layer paper honeycomb absorbs 65.1% more energy than the single-layer paper honeycomb structure, and its stress-strain curve exhibits multiple distinct plateau stress regions. Under impact loading, the triple-layer paper honeycomb does not enter the densification stage when subjected to an impact energy of less than 81.6 J, whereas the force value of the single-layer paper honeycomb structure increases sharply under an impact energy exceeding 53.8 J. These findings indicate that the multi-layer paper honeycomb structure possesses better energy absorption characteristics under impact. Based on the fragility and the experimentally obtained buffering characteristics of the multi-layer honeycomb structure, a reverse design method for structural packaging is developed and validated through finite element modeling, confirming the effectiveness of the design approach. Compared with existing honeycomb packaging structure design methods, this proposed approach demonstrates significantly higher efficiency and accuracy. It not only reduces redundant design iterations, but also holds considerable promise for applications in cushioning packaging structure design and other impact fields.
- multi-layer paper honeycomb structure,
- buffering characteristics,
- fragility,
- packaging design

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References(26)

References

[1]	MAURYA D K, UPADHYAY C S, KUMARI P. A green light-weight material for packaging and impact resistant structures [J]. Industrial Crops and Products, 2024, 216: 118711. DOI: 10.1016/j.indcrop.2024.118711.
[2]	LI H F, WANG B. Green packaging materials design and efficient packaging with Internet of Things [J]. Sustainable Energy Technologies and Assessments, 20023, 58: 103186. DOI: 10.1016/j.seta.2023.103186.
[3]	BORDENAVE N, GRELIER S, Coma V. Hydrophobization and antimicrobial activity of chitosan and paper-based packaging material [J]. Biomacromolecules, 2010, 11(1): 88–96. DOI: 10.1021/bm9009528.
[4]	BHARDWAJ S, BHARDWAJ N K, NEGI Y S. Effect of degree of deacetylation of chitosan on its performance as surface application chemical for paper-based packaging [J]. Cellulose, 2020, 27(9): 5337–5352. DOI: 10.1007/s10570-020-03134-5.
[5]	谢亚, 郭慧超, 牟信妮. 蜂窝纸箱替代瓦楞纸箱的可行性研究 [J]. 印刷与数字媒体技术研究, 2024(1): 92–98. DOI: 10.19370/j.cnki.cn10-1886/ts.2024.01.011. XIE Y, GUO H C, MU X N. Research on feasibility of replacing corrugated carton with honeycomb carton [J]. Printing and Digital Media Technology Study, 2024(1): 92–98. DOI: 10.19370/j.cnki.cn10-1886/ts.2024.01.011.
[6]	ZHANG Q, LIU H. On the dynamic response of porous functionally graded microbeam under moving load [J]. International Journal of Engineering Science, 2020, 153: 103317. DOI: 10.1016/j.ijengsci.2020.103317.
[7]	ZHANG J J, LU G X, YOU Z. Large deformation and energy absorption of additively manufactured auxetic materials and structures: a review [J]. Composites Part B: Engineering, 2020, 201: 108340. DOI: 10.1016/j.compositesb.2020.108340.
[8]	RADLOF W, BENZ C, SANDER M. Numerical and experimental investigations of additively manufactured lattice structures under quasi-static compression loading [J]. Material Design & Processing Communication, 2021, 3: e164. DOI: 10.1002/mdp2.164.
[9]	WANG Q S, LI Z H, ZHANG Y, et al. Ultra-low density architectured metamaterial with superior mechanical properties and energy absorption capability [J]. Composites Part B: Engineering, 2020, 202: 108379. DOI: 10.1016/j.compositesb.2020.108379.
[10]	POHL A, FONTANA M. The mechanical and thermal properties of corrugated paper honeycomb: Part 1 – Experimental investigation [J]. Nordic Pulp & Paper Research Journal, 2010, 25(4): 510–518. DOI: 10.3183/npprj-2010-25-04-p510-518.
[11]	ZHAO X, GAO Q, WANG L M, et al. Dynamic crushing of double-arrowed auxetic structure under impact loading [J]. Materials & Design, 2018, 160: 527–537. DOI: 10.1016/j.matdes.2018.09.041.
[12]	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.
[13]	ZHANG Y, LI Y G, GUO K L, et al. Dynamic mechanical behaviour and energy absorption of aluminium honeycomb sandwich panels under repeated impact loads [J]. Ocean Engineering, 2021, 219: 108344. DOI: 10.1016/j.oceaneng.2020.108344.
[14]	LIN L H, HU J J, LI D Y, et al. Research on dynamic response under the external impact of paper honeycomb sandwich board [J]. Materials, 2024, 17(8): 1856. DOI: 10.3390/ma17081856.
[15]	GUO H Y, ZHANG J X. Performance-oriented and deformation-constrained dual-topology metamaterial with high-stress uniformity and extraordinary plastic property [J]. Advanced Materials, 2025, 37(7): 2412064. DOI: 10.1002/adma.202412064.
[16]	WU X W, GUO H Y, ZHANG J X. Bi-surface induction in biomimetic multi-gradient foam-filled tubes with enhanced energy absorption: theory, experiment, and simulation [J]. Journal of Applied Mechanics, 2025, 92(5): 051010. DOI: 10.1115/1.4068061.
[17]	YUAN H, WU X W, ZHANG J X. Cutting failure behavior of foam core sandwich plates [J]. International Journal of Solids and Structures, 2024, 303: 113009. DOI: 10.1016/j.ijsolstr.2024.113009.
[18]	GUO H Y, ZHANG J X. Expansion of sandwich tubes with metal foam core under axial compression [J]. Journal of Applied Mechanics, 2023, 90(5): 051008. DOI: 10.1115/1.4056686.
[19]	MINDLIN R D. Dynamics of package cushioning [J]. Bell System Technical Journal, 1945, 24(3/4): 353–461. DOI: 10.1002/j.1538-7305.1945.tb00892.x.
[20]	NEWTON R E. Fragility assessment theory and test procedure [M]. Monterey: Monterey Research Laboratory, Inc. , 1968.
[21]	曾克俭, 刘珊. 蜂窝纸板动态缓冲性能分析研究 [J]. 包装工程, 2014, 35(17): 15–18. DOI: 10.19554/j.cnki.1001-3563.2014.17.004. ZENG K J, LIU S. Analysis on dynamic cushioning property of honeycomb paperboard [J]. Packaging Engineering, 2014, 35(17): 15–18. DOI: 10.19554/j.cnki.1001-3563.2014.17.004.
[22]	滑广军, 谢勇, 李凤玲. 组合缓冲包装衬垫的缓冲性能研究 [J]. 包装工程, 2016, 37(17): 108–111. DOI: 10.19554/j.cnki.1001-3563.2016.17.023. HUA G J, XIE Y, LI F L. Cushioning property of combination packaging cushion [J]. Packaging Engineering, 2016, 37(17): 108–111. DOI: 10.19554/j.cnki.1001-3563.2016.17.023.
[23]	罗瑜莹, 肖生苓, 李琛, 等. 纤维多孔缓冲包装材料泡孔参数与其力学性能的关系 [J]. 林业科学, 2017, 53(5): 116–124. DOI: 10.11707/j.1001-7488.20170514. LUO Y Y, XIAO S L, LI C, et al. Relationships between bubble parameters and mechanical properties of fiber porous cushioning packaging material [J]. Scientia Silvae Sinicae, 2017, 53(5): 116–124. DOI: 10.11707/j.1001-7488.20170514.
[24]	HU J F, HUANG Y Y, GE R Y, et al. Out-of-plane compression performance of unidirectionally arrayed short fiber reinforced honeycomb structures: experimental and numerical analysis [J]. Composite Structures, 2026, 378: 119935. DOI: 10.1016/j.compstruct.2025.119935.
[25]	马昊, 陈美多, 袁良柱, 等. 中等应变率下纸蜂窝结构的力学性能研究 [J]. 高压物理学报, 2024, 38(4): 044104. DOI: 10.11858/gywlxb.20240701. MA H, CHEN M D, YUAN L Z, et al. Study on mechanical properties of paper honeycomb structure at medium strain rates [J]. Chinese Journal of High Pressure Physics, 2024, 38(4): 044104. DOI: 10.11858/gywlxb.20240701.
[26]	BURGESS G. Generation of cushion curves from one shock pulse [J]. Packaging Technology and Science, 1994, 7(4): 169–173. DOI: 10.1002/pts.2770070403.