In-plane mechanical properties and energy absorption of non-uniform variable-thickness honeycomb structures

Ming Li , Jin-hua Zhang , Jun Hong , Jin-rong Guo , Ke Wang , Bin Fang

Journal of Central South University ›› : 1 -20.

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Journal of Central South University ›› :1 -20. DOI: 10.1007/s11771-026-6290-6
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In-plane mechanical properties and energy absorption of non-uniform variable-thickness honeycomb structures
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Abstract

To address the high energy demands in aerospace protective systems, this study proposes a bioinspired nonuniform variable-thickness honeycomb (NVTH) structure derived from human femur morphology, aiming to enhance energy absorption beyond conventional hexagonal honeycombs. A mechanical model integrating the upper bound theorem of plastic mechanics and virtual work principle was developed to analyze NVTH’s structural behavior. Finite element simulations systematically evaluated deformation modes, stress-strain responses, load-bearing capacity, and energy absorption characteristics. Key findings reveal that NVTH achieves 26.26% greater energy absorption than standard hexagonal honeycombs and 25.04% improvement over traditional negative Poisson’s ratio (NPR) configurations. The thickness-gradient design enhances buckling resistance by 23.33% compared to uniform counterparts, while exhibiting NPR properties and multi-stage collapse mechanisms under quasi-static compression. Experimental validation confirms the structure’s synergistic performance enhancements through controlled material redistribution. The proposed methodology demonstrates extensibility to diverse metamaterial architectures, including NPR variants, offering a generalized framework for optimizing energy-absorbing structures in advanced engineering applications. This biomimetic approach bridges anatomical efficiency with engineered material systems, establishing new pathways for lightweight, high-performance protective solutions in aerospace and related fields.

Keywords

honeycomb structure / variable-thickness design / mechanical property / energy absorption performance / quasi-static compression

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Ming Li, Jin-hua Zhang, Jun Hong, Jin-rong Guo, Ke Wang, Bin Fang. In-plane mechanical properties and energy absorption of non-uniform variable-thickness honeycomb structures. Journal of Central South University 1-20 DOI:10.1007/s11771-026-6290-6

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References

[1]

Zhang Q-c, Yang X-h, Li Pet al. . Bioinspired engineering of honeycomb structure – Using nature to inspire human innovation. Progress in Materials Science. 2015, 74: 332-400. J]

[2]

Qi C, Jiang F, Yang S. Advanced honeycomb designs for improving mechanical properties: A review. Composites Part B: Engineering. 2021, 227: 109393. J]

[3]

Yang W-z, Dong S-c, Zhu X-det al. . Superior energy absorption performance of layered aux-hex honeycomb filled tubes. International Journal of Mechanical Sciences. 2022, 234107702. J]

[4]

Mohammadi H, Ahmad Z, Petrů Met al. . An insight from nature: Honeycomb pattern in advanced structural design for impact energy absorption. Journal of Materials Research and Technology. 2023, 222862-2887. J]

[5]

Sang L, Han S-f, Peng X-set al. . Development of 3D-printed basalt fiber reinforced thermoplastic honeycombs with enhanced compressive mechanical properties. Composites Part A: Applied Science and Manufacturing. 2019, 125: 105518. J]

[6]

Wei X-y, Jiao Y-h, Wang Yet al. . Surface matching design of carbon fiber composite honeycomb. Journal of the Mechanics and Physics of Solids. 2024, 193105890. J]

[7]

Brodeur S, Dastous J B. Design and testing of an arc resistant power transformer tank. IEEE Transactions on Power Delivery. 2020, 35(2): 699-706. J]

[8]

Zeng C-j, Liu L-w, Bian W-fet al. . Compression behavior and energy absorption of 3D printed continuous fiber reinforced composite honeycomb structures with shape memory effects. Additive Manufacturing. 2021, 38: 101842. J]

[9]

Andrew J J, Alhashmi H, Schiffer Aet al. . Energy absorption and self-sensing performance of 3D printed CF/PEEK cellular composites. Materials & Design. 2021, 208109863. J]

[10]

Hosen A, Hossain M F, Rana M Set al. . Investigation of flexural strength of jute fiber based circular type honeycomb sandwich panel: An experimental and numerical approach. Results in Materials. 2023, 19100423. J]

[11]

Hu L L, He X L, Wu G Pet al. . Dynamic crushing of the circular-celled honeycombs under out-of-plane impact. International Journal of Impact Engineering. 2015, 75150-161. J]

[12]

Zhang Y, Xu X, Fang J-get al. . Load characteristics of triangular honeycomb structures with self-similar hierarchical features. Engineering Structures. 2022, 257: 114114. J]

[13]

Liu Y, Zhang X-c. The influence of cell microtopology on the in-plane dynamic crushing of honeycombs. International Journal of Impact Engineering. 2009, 36198-109. J]

[14]

Li M, Deng Z-q, Guo H-wet al. . Optimizing crashworthiness design of square honeycomb structure. Journal of Central South University. 2014, 213912-919. J]

[15]

Wang Z-g, Deng J-j, Liu Ket al. . Hybrid hierarchical square honeycomb with widely tailorable effective in-plane elastic modulus. Thin-Walled Structures. 2022, 171: 108816. J]

[16]

Shahverdi Moghaddam H, Keshavanarayana S R, Yang Cet al. . Anisotropic hyperelastic constitutive modeling of in-plane finite deformation responses of commercial composite hexagonal honeycombs. Journal of Sandwich Structures & Materials. 2022, 24(1): 5-34. J]

[17]

Wang Y-l, Yu Y, Wang C-yet al. . On the out-of-plane ballistic performances of hexagonal, reentrant, square, triangular and circular honeycomb panels. International Journal of Mechanical Sciences. 2020, 173: 105402. J]

[18]

Wang Z-g, Lei Z-p, Li Z-det al. . Mechanical reinforcement mechanism of a hierarchical Kagome honeycomb. Thin-Walled Structures. 2021, 167108235. J]

[19]

Yan X-n, Wang R, Chen Y-xet al. . Influence of size of honeycomb structure on Poisson’s ratio and energy absorption. Materials for Mechanical Engineering. 2021, 45371-75[J]

[20]

Choudhry N K, Panda B, Kumar S. In-plane energy absorption characteristics of a modified re-entrant auxetic structure fabricated via 3D printing. Composites Part B: Engineering. 2022, 228: 109437. J]

[21]

Xiong J, Zhang M, Stocchi Aet al. . Mechanical behaviors of carbon fiber composite sandwich columns with three dimensional honeycomb cores under inplane compression. Composites Part B: Engineering. 2014, 60350-358. J]

[22]

Gibson L J, Ashby M F, Schajer G Set al. . The mechanics of two-dimensional cellular materials. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 1982, 382178225-42. J]

[23]

Tankasala H, Deshpande V S, Fleck N A. The inplane elastic-plastic response of an incompressible, filled hexagonal honeycomb. Journal of the Mechanics and Physics of Solids. 2021, 155: 104536. J]

[24]

Carlsson J, Li K, Deshpande V Set al. . The in-plane, elastic-plastic response of a filled hexagonal honeycomb at finite strain. Journal of the Mechanics and Physics of Solids. 2022, 168105047. J]

[25]

Qi C, Jiang F, Remennikov Aet al. . Quasi-static crushing behavior of novel re-entrant circular auxetic honeycombs. Composites Part B: Engineering. 2020, 197108117. J]

[26]

Sun Y-t, Pugno N M. In plane stiffness of multifunctional hierarchical honeycombs with negative Poisson’s ratio sub-structures. Composite Structures. 2013, 106681-689. J]

[27]

Liu Y-z, Zhao C-f, Xu Cet al. . Shape recovery effect and energy absorption of reusable honeycomb structures. Composite Structures. 2025, 352: 118708. J]

[28]

Wang S, Liu H-t. Quasi-static compression response of a novel multi-step auxetic honeycomb with tunable transition strain. Aerospace Science and Technology. 2024, 155109730. J]

[29]

Ou Y-x, Yan S-l, Wen P. In-plane impact dynamics analysis of re-entrant honeycomb with variable cross-section. Computer Modeling in Engineering & Sciences. 2021, 127(1): 209-222. J]

[30]

Ha N S, Lu G-x. A review of recent research on bio-inspired structures and materials for energy absorption applications. Composites Part B: Engineering. 2020, 181: 107496. J]

[31]

Fang J-g, Sun G-y, Qiu Net al. . On hierarchical honeycombs under out-of-plane crushing. International Journal of Solids and Structures. 2018, 1351-13. J]

[32]

Xie Y, Liu X-w, Wang Z-det al. . Performance enhancement of foam-filled parallel gradient and uniform honeycombs. Composite Structures. 2026, 379: 119937. J]

[33]

Yan C-g, Guo J-x, Zhang Pet al. . Prevention of oil-immersed equipment rupture due to arcing faults based on metal foam. IEEE Transactions on Power Delivery. 2023, 3842965-2968. J]

[34]

Zhang Z, Wang C, Wang Yet al. . The topology and fault ride-through strategy of a novel fault current transfer consumption sub-module. High Voltage Engineering. 2023, 4941600-1610[J]

[35]

Ding K, Jain M, Kalácska Set al. . Enhanced energy absorption in 3D printed copper micro-honeycombs. Materials & Design. 2025, 260: 115090. J]

[36]

Su Y-s, Chu H, Liu Jet al. . In-plane compressive performance of 3d-printed continuously carbon-fiber-reinforced hierarchical honeycombs composite. Composites Communications. 2026, 62102663. J]

[37]

Li Z-d, Wang Z-g, Wang X-xet al. . Bending behavior of sandwich beam with tailored hierarchical honeycomb cores. Thin-Walled Structures. 2020, 157107001. J]

[38]

Wang Z-g, Deng J-j, He K-net al. . Out-of-plane crushing behavior of hybrid hierarchical square honeycombs. Thin-Walled Structures. 2022, 181110051. J]

[39]

Cui Y J, Zhou Q, Xu Z Het al. . Structure failure and strength evaluation of honeycomb-based sandwich composites under variable hydro-thermal-mechanical load. Composite Structures. 2025, 354118763. J]

[40]

Su Y-p, Shi S, Wang Cet al. . Spider silk-inspired tough materials: Multi-pathway synthesis, advanced processing, and functional applications. Nano Today. 2024, 55102188. J]

[41]

Chen S-m, Zhang Z-b, Gao H-let al. . Bottom-up film-to-bulk assembly toward bioinspired bulk structural nanocomposites. Advanced Materials. 2024, 36(23): e2313443. J]

[42]

Xiao Y-y, Yin H-f, Fang H-bet al. . Crashworthiness design of horsetail-bionic thin-walled structures under axial dynamic loading. International Journal of Mechanics and Materials in Design. 2016, 124563-576. J]

[43]

Xiang J-w, Du J-x. Energy absorption characteristics of bio-inspired honeycomb structure under axial impact loading. Materials Science and Engineering: A. 2017, 696: 283-289. J]

[44]

He Q, Feng J, Chen Y-jet al. . Mechanical properties of spider-web hierarchical honeycombs subjected to out-of-plane impact loading. Journal of Sandwich Structures & Materials. 2020, 223771-796. J]

[45]

Ha N S, Pham T M, Tran T Tet al. . Mechanical properties and energy absorption of bio-inspired hierarchical circular honeycomb. Composites Part B: Engineering. 2022, 236: 109818. J]

[46]

Yu P-s, Liu Z-f, Li S-q. Design and impact resistance analysis of a new biomimetic honeycomb structure. Chinese Journal of High Pressure Physics. 2022, 361149-160[J]

[47]

Pehlivan L, Baykasoğlu C. In-plane crushing behavior and energy absorption of CFRP honeycombs with different core topologies. Thin-Walled Structures. 2024, 205: 112566. J]

[48]

Liu N, Mehreganian N, Sareh P. Never better than 5/6: The fundamental limit of energy absorption efficiency for negative-stiffness curved-beam honeycombs. Materials & Design. 2024, 243113024. J]

[49]

LI Xiang, LI Ning-chuang, WU Hai-huan, et al. Crashworthiness of a novel bionic quasi-honeycomb structure based on variable cross-section design [J]. Acta Materiae Composiae Sinica, 2024: 283–289. DOI: https://doi.org/10.13801/j.cnki.fhclxb.20240813.001.(in Chinese)

[50]

Chen B C, Zou M, Liu G Met al. . Experimental study on energy absorption of bionic tubes inspired by bamboo structures under axial crushing. International Journal of Impact Engineering. 2018, 11548-57. J]

[51]

Liang H-y, Hao W-q, Xue G-let al. . Parametric design strategy of a novel self-similar hierarchical honeycomb for multi-stage energy absorption demand. International Journal of Mechanical Sciences. 2022, 217107029. J]

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