| POLYMERS AND POLYMER MATRIX COMPOSITES |
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| Study on the Mechanical Behaviour of Auxetic Meta-structures Made from Laminated CFRP |
| ZHAO Changfang1,2, Boris Nikitovich Fedulov2, LIU Hao1,2,*
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1 School of Aerospace Engineering, Tsinghua University, Beijing 100084, China 2 Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119991, Russia |
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Abstract Carbon fiber reinforced plastic (CFRP) auxetic meta-structures have attracted much attention in the aerospace field in recent years due to their advantages of light weight, high strength and designability. To reveal the basic mechanical behaviour of auxetic meta-structures made from laminated CFRP and their formation mechanism, two-dimensional anisotropic constitutive models of laminates and equivalent elastic mecha-nical models of re-entrant hexagonal auxetic meta-structures have been developed based on classical laminate theory and Euler-Bernoulli beam bending theory, respectively. Combined with the validated finite element method, the tensile, compressive and shear behaviour of the CFRP meta-cell were predicted. The results show that the in-plane tensile and compressive behaviours exhibit linear characteristics and have the same stiffness, but their strengths are different due to the different failure locations. Both the in-plane and out-of-plane shear behaviours are nonlinear, and the stiffnesses and strengths in different directions are significantly different due to the different deformation modes, material properties and failure modes. Microscopic failure modes of the sidewalls include matrix cracking, fiber pull-out and fiber fracture, but delamination damage induced by local fracture also occurs under out-of-plane shear conditions. Both in-plane tensile and out-of-plane shear show a negative Poisson’s ratio effect (with the effect being better for Y-direction tension), and the predicted Poisson’s ratios are close to the simulation results. The out-of-plane shear failure strain is about 150%, showing excellent synclastic behaviour and shear bearing capacity. These results can provide a reference for the functional application and controllable design of composite meta-structures.
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Published: 25 January 2026
Online: 2026-01-27
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1 Walser R M. Proceedings of SPIE, 2001, 4467(1), 1. 2 Wang L, Ulliac G, Wang B, et al. Advanced Science, 2022, 9, 2204721. 3 Pendry J B, Holden A J, Stewart W J, et al. Physical Review Letters, 1996, 76, 4773. 4 Smith D R, Padilla W J, Vier D C, et al. Physical Review Letters, 2000, 84, 4184. 5 Cui T J, Liu S, Zhang L. Journal of Materials Chemistry C, 2017, 5, 3644. 6 Liu J, Teunisse M, Korovin G, et al. Proceedings of the National Academy of Sciences of the United States of America, 2024, 121, e2308414121. 7 Jiao P, Mueller J, Raney J R, et al. Nature Communications, 2023, 14, 6004. 8 Mirkhalaf M, Rafsanjani A. Matter, 2023, 6, 3719. 9 Lakes R. Advanced Materials, 1993, 5, 293. 10 Greaves G N, Greer A L, Lakes R S, et al. Nature Materials, 2011, 10, 823. 11 Yang Z W, Zhou H. Materials Reports, 2020, 34(21), 21052 (in Chinese). 杨智为, 周涵. 材料导报, 2020, 34(21), 21052. 12 Ren X, Das R, Tran P, et al. Smart Materials and Structures, 2018, 27, 023001. 13 Liu Y, Zhao C, Xu C, et al. Engineering Research Express, 2023, 5, 042003. 14 Zhao C F. Metamaterials-progress, devices and applications, Alejandro L B, ed., IntechOpen, UK, 2025, pp. 1. 15 Wei G Y. Materials Reports, 2003, 17(1), 8(in Chinese). 魏高原. 材料导报, 2003, 17(1), 8. 16 Evans K E, Alderson A. Advanced Materials, 2000, 12, 617. 17 Wang Z, Luan C, Liao G, et al. Advanced Engineering Materials, 2020, 22, 2000312. 18 Love A. A treatise on the mathematical theory of elasticity, The University Press, UK, 1944, pp. 75. 19 Lakes R. Science, 1987, 235, 1038. 20 Evans K E, Nkansah M A, Hutchinson I J, et al. Nature, 1991, 353, 124. 21 Evans K E, Alderson K L. Journal of Materials Science Letter, 1992, 11, 1721. 22 Xia J J, Li J, Zhang Y M, el al. Materials Reports, 2021, 35(11), 11197 (in Chinese). 夏进军, 李洁, 张雨萌, 等. 材料导报, 2021, 35(11), 11197. 23 Li X, Peng W, Wu W, et al. International Journal of Extreme Manufacturing, 2023, 5, 042003. 24 Balan P M, Mertens A J, Bahubalendruni M V A R. Materials Today Communications, 2023, 34, 105285. 25 Chan N, Evans K E. Journal of Cellular Plastics, 1999, 35, 130. 26 Attard D, Grima J N. Physica Status Solidi (b), 2008, 245, 2395. 27 Grima J N, Oliveri L, Attard D, et al. Advanced Engineering Materials, 2010, 12, 855. 28 Schenk M, Guest S D. Proceedings of the National Academy of Sciences of the United States of America, 2013, 110, 3276. 29 Wang K, Chang Y H, Chen Y, et al. Materials & Design, 2015, 67, 159. 30 Lei M, Hong W, Zhao Z, et al. ACS Applied Materials & Interfaces, 2019, 11, 22768. 31 Yeon H, Lee H, Kim Y, et al. Science Advances, 2021, 7, eabg8459. 32 McHale G, Alderson A, Armstrong S, et al. Small Structures, 2024, 5, 2300458. 33 Zhong J L, Zhao C F, Liu Y Z, et al. Fibers and Polymers, 2024, 25, 395. 34 Zhao C F, Zhou Z T, Zhu H W, et al. Materials Reports, 2021, 35(12), 12209(in Chinese). 赵昌方, 周志坛, 朱宏伟, 等. 材料导报, 2021, 35(12), 12209. 35 Zhao C F. Composite materials-science and engineering, Petrica V, ed., IntechOpen, UK, 2024, pp. 1. 36 Chirima G, Ravirala N, Rawal A, et al. Physica Status Solidi (b), 2008, 245, 2383. 37 Lim T C. Auxetic materials and structures, Lim T C, ed., Springer, Singapore, 2015, pp. 533. 38 Wang Z, Zulifqar A, Hu H. Advanced composite materials for aerospace engineering, Sohel R, Raul F, ed., Woodhead Publishing, UK, 2016, pp. 213. 39 Quan C, Han B, Hou Z, et al. Composites Part B: Engineering, 2020, 187, 107858. 40 Zhao C, Zhou Z, Zhang K, et al. Arabian Journal for Science and Engineering, 2021, 46, 2891. 41 Zhao C, Goh K L, Lee H P, et al. Composite Structures, 2023, 303, 116319. 42 Zhao C, Zhong J, Wang H, et al. Materials & Design, 2024, 246, 113295. 43 Zhong J, Zhao C, Chen C, et al. European Journal of Mechanics-A/Solids, 2025, 109, 105454. 44 Yang L, Harrysson O, West H, et al. International Journal of Solids and Structures, 2015, 69-70, 475. 45 Gibson L J, Ashby M F, Schajer G S, et al. Proceedings of the Royal Society of London A, 1982, 382, 43. 46 Zhao C, Zhong J, Wang H, et al. Polymer Composites, 2023, 45(5), 3965. 47 Zhong J, Zhao C, Ren J, et al. Applied Composite Materials, 2022, 29, 629. 48 Zhao C F, Zhu H W, Ren J, et al. Journal of Qingdao University of Science and Technology(Natural Science Edition), 2021, 42(5), 75(in Chinese). 赵昌方, 朱宏伟, 任杰, 等. 青岛科技大学学报(自然科学版), 2021, 42(5), 75. 49 Zhao C, Zhou Z, Liu X, et al. Journal of Alloys and Compounds, 2021, 859, 157840. 50 Zhao C F, Goh K L, Le G G, et al. Journal of Qingdao University of Science and Technology(Natural Science Edition), 2023, 44(5), 87(in Chinese). 赵昌方, Goh K L, 乐贵高, 等. 青岛科技大学学报(自然科学版), 2023, 44(5), 87. |
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