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Dynamic crushing behavior and energy absorption of hybrid auxetic metamaterial inspired by Islamic motif art

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Abstract

Auxetic honeycomb structures are promising metamaterials with outstanding mechanical properties, and can be potentially used in energy absorption applications. In this study, a novel modified re-entrant hybrid auxetic metamaterial inspired by Islamic motif art is designed by integrating four-pointed double re-entrant motifs with symmetric semi-hexagonal unit cells to achieve a high energy absorption capacity (EAC). Theoretical analyses and numerical simulations are performed to examine the dynamic crushing behavior of the four-pointed double re-entrant combined structure (FDRCS). The developed finite element models (FEMs) are validated by the experiments under quasi-static compression. The deformation mode and stress-strain curves are further studied under low, medium, and high crushing velocities. The theoretically predicted plateau stress of the FDRCS under different crushing velocities is consistent with the numerical simulation results. The crushing stress and the EAC of the FDRCS are influenced by the geometric parameters and crushing velocities. The FDRCS exhibits a negative Poisson’s ratio (NPR), owing to the four-point re-entrant structure (RES). Moreover, the specific energy absorption (SEA) of these structures is higher than that of nonauxetic hexagonal and auxetic re-entrant structures, owing to the generation of more plastic hinges that dissipate more energy during dynamic crushing.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Hebei Key Laboratory of Mechanics of Intelligent Materials and Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Ruilan Tian, Huaitong Guan, Xuhao Lu, Xiaolong Zhang, Huanan Hao & Wenjie Feng

  2. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Ruilan Tian, Huaitong Guan, Xiaolong Zhang & Wenjie Feng

  3. School of Materials Science and Engineering, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Guanglei Zhang

Authors
  1. Ruilan Tian
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  2. Huaitong Guan
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  3. Xuhao Lu
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  4. Xiaolong Zhang
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  5. Huanan Hao
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  6. Wenjie Feng
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  7. Guanglei Zhang
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Correspondence to Xiaolong Zhang.

Additional information

Citation: TIAN, R. L., GUAN, H. T., LU, X. H., ZHANG, X. L., HAO, H. N., FENG, W. J., and ZHANG, G. L. Dynamic crushing behavior and energy absorption of hybrid auxetic metamaterial inspired by Islamic motif art. Applied Mathematics and Mechanics (English Edition), 44(3), 345–362 (2023) https://doi.org/10.1007/s10483-023-2962-9

Project supported by the National Natural Science Foundation of China (Nos. 12102274, 12072203, and 11872253), the Natural Science Foundation of Hebei Province of China (No. A2022210005), and the Central Guidance on Local Science and Technology Development Fund of Hebei Province of China (No. 226Z4901G)

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Tian, R., Guan, H., Lu, X. et al. Dynamic crushing behavior and energy absorption of hybrid auxetic metamaterial inspired by Islamic motif art. Appl. Math. Mech.-Engl. Ed. 44, 345–362 (2023). https://doi.org/10.1007/s10483-023-2962-9

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  • DOI: https://doi.org/10.1007/s10483-023-2962-9

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Chinese Library Classification

2010 Mathematics Subject Classification

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