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Mechanical Characteristics Analysis of 3D-printing Novel Chiral Honeycomb Array Structures Based on Functional Principle and Constitutive Relationship

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Abstract

Four novel chiral honeycomb structures inspired by the biological arrangement shape are designed. The functional principle is raised to solve the large deformation of bio-inspired structures and the structural constitutive model is proposed to explain the quasi-static mechanical properties of chiral honeycomb array structures and honeycomb structures. Simulation and experiment results verify the accuracy of theoretical analysis results and the errors are all within 15%. In structural mechanical properties, Equidimensional Chiral Honeycomb Array Structure (ECHS) has excellent mechanical properties. Among ECHS, Small-sized Column Chiral Honeycomb Array Structure (SCHCS) has the best properties. The bearing capacity, specific energy absorption, and specific strength of SCHCS are more than twice as much as the others in this paper. The chiral honeycomb array structure has the best mechanical properties at a certain size. In the structural design, the optimal size model should be obtained first in combination with the optimization algorithm for the protection design.

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Data Availability

The data that support the findings of this study are not openly available due to some restrictions and are available from the corresponding author upon reasonable request.

References

  1. Pana-Cryan, R., & Myers, M. L. (2010). Effectiveness of roll-over protective structures in reducing farm tractor fatalities. American Journal of Preventive Medicine, 42, 68–71.

    Google Scholar 

  2. Yun, X., & Yang, J. L. (2021). A design strategy of bio-inspired defensive structures with stiffness programmability for reusable impact-resistance protection. International Journal of Impact Engineering, 157, 103982.

    Article  Google Scholar 

  3. Yang, X. F., Ma, J. X., Shi, Y. L., Sun, Y. X., & Yang, J. L. (2017). Crashworthiness investigation of the bio-inspired bi-directionally corrugated core sandwich panel under quasi-static crushing load. Materials & Design, 135, 275–290.

    Article  Google Scholar 

  4. Larmet, Y., Reibel, S., Carnahan, J., Nawa, H., Marescaux, C., & Depaulis, A. (1995). Protective effects of brain-derived neurotrophic factor on the development of hippocampal kindling in the rat. NeuroReport, 6, 1937–1941.

    Article  Google Scholar 

  5. Lathrop, B., & Sennett, R. (1968). Effects of hypervelocity impact on honeycomb structures. Journal of Spacecraft and Rockets, 5, 1496–1497.

    Article  Google Scholar 

  6. Richardson, S., Rechnitzer, G., Orton, T., Shifman, M., Crocker, S., Ramharuk, A., Jones, C., & Indurjit, P. (2009). Development of rollover protective structures for mining light vehicles. Sae Technical Papers, 2015, 1–17.

    Google Scholar 

  7. Dumont, A., Grosse, B., & Slater, C. (2009). Requirements for comparing the performance of finite element models of biological structures. Journal of Theoretical Biology, 256, 96–103.

    Article  MathSciNet  MATH  Google Scholar 

  8. Gargano, A., Pingkarawat, K., Blacklock, M., Pickerd, V., & Mouritz, A. (2017). Comparative assessment of the explosive blast performance of carbon and glass fibre-polymer composites used in naval ship structures. Composite Structures, 171, 306–316.

    Article  Google Scholar 

  9. Hu, L., Etza, B., & Bing, F. (2021). In-plane dynamic crushing of a novel honeycomb with functionally graded fractal self-similarity. Composite Structures, 270, 114106.

    Article  Google Scholar 

  10. Alderson, A., Alderson, K., Attard, D., Evans, K., Gatt, R., Grima, J., Miller, W., Ravirala, N., Smith, C., & Zied, K. (2010). Elastic constants of 3-, 4- and 6-connected chiral and anti-chiral honeycombs subject to uniaxial in-plane loading. Composites Science & Technology, 70, 1042–1048.

    Article  Google Scholar 

  11. Frenzel, T., Kadic, M., & Wegener, M. (2017). Three-dimensional mechanical metamaterials with a twist. Science, 358, 1072–1074.

    Article  Google Scholar 

  12. Lin, G., Li, G. J., Chen, P., Sun, P. W., Chizhik, W. F., Makhaniok, A. S., Melnikova, A. A., Kuznetsova, G. B., & Tatiana, A. (2021). Buckling of lattice columns made from three-dimensional chiral mechanical metamaterials. International Journal of Mechanical Sciences, 194, 106208.

    Article  Google Scholar 

  13. Zhong, R. C., Fu, M. H., Chen, X., Zheng, B. B., & Hu, L. L. (2019). A novel three-dimensional mechanical metamaterial with compression-torsion properties. Composite Structures, 226, 111232.

    Article  Google Scholar 

  14. Shafighfard, T., Cender, T., & Demir, E. (2020). Additive manufacturing of compliance optimized variable stiffness composites through short fiber alignment along curvilinear paths. Additive Manufacturing, 37, 101728.

    Article  Google Scholar 

  15. Li, D., Yin, J., Dong, L., & Roderic, S. (2018). Strong re-entrant cellular structures with negative Poisson’s ratio. Springer, US, 53, 3493–3499.

    Google Scholar 

  16. Restrepo, D., Mankame, N. D., & Zavattieri, P. D. (2015). Phase transforming cellular materials. Extreme Mechanics Letters, 4, 52–60.

    Article  Google Scholar 

  17. Ajdari, A., Hamid, N., & Ashkan, V. (2010). Dynamic crushing and energy absorption of regular, irregular and functionally graded cellular structures. International Journal of Solids and Structures, 48, 506–516.

    Article  MATH  Google Scholar 

  18. Liu, R. Y., Yao, G. F., Xu, Z. Z., Guo, X., Gao, K. Y., Cao, Q., Yu, Z. L., Zhang, Z. H., Han, C. Y., & Liu, J. B. (2022). Study on functional mechanical performance of honeycomb array structures inspired by gideon beetle. Journal of Bionic Engineering, 19, 1024–1035.

    Article  Google Scholar 

  19. Peng, X., Zhang, B., Wang, Z., Su, W., Niu, S., Han, Z., & Ren, L. (2022). Bio-inspired strategies for excellent mechanical properties of composites. Journal of Bionic Engineering, 19, 1203–1228.

    Article  Google Scholar 

  20. Song, K. D., Zhang, D. M., Yin, J., & Huang, Y. (2021). Computational study of extrusion bioprinting with Jammed Gelatin microgel-based composite ink. Additive Manufacturing, 41, 101963.

    Article  Google Scholar 

  21. Ibrahim, H., Jahadakbar, A., Dehghan, A., Moghaddam, N., Amerinatanzi, A., & Elahinia, M. (2018). In vitro corrosion assessment of additively manufactured porous NiTi structures for bone fixation applications. Metals, 8, 164.

    Article  Google Scholar 

  22. Chang, Q., Feng, J., Chen, Y., & Shu, Y. (2019). In-plane crushing response of tetra-chiral honeycombs. International Journal of Impact Engineering, 130, 247–265.

    Article  Google Scholar 

  23. Zhang, X., Xie, J., Chen, J. X., Okabe, Y., Pan, L., & Xu, M. (2017). The beetle elytron plate: A lightweight, high-strength and buffering functional-structural bionic material. Scientific Reports, 7, 4440.

    Article  Google Scholar 

  24. Plessis, A., Broeckhoven, C., Yadroitsev, I., Yadroitsava, I., & Roux, S. (2018). Analyzing nature’s protective design: The glyptodont body armor. Journal of the Mechanical Behavior of Biomedical Materials, 82, 218–223.

    Article  Google Scholar 

  25. Wang, D., Yang, Y. Q., Liu, R. C., Xiao, D. M., & Sun, J. F. (2013). Study on the designing rules and processability of porous structure based on selective laser melting (SLM). Journal of Materials Processing Technology, 213, 1734–1742.

    Article  Google Scholar 

  26. Gu, D., Meiners, W., Wissenbach, K., & Poprawe, R. (2012). Laser additive manufacturing of metallic components: Materials, processes and mechanisms. International Materials Reviews, 57, 133–164.

    Article  Google Scholar 

  27. Xiao, L. J., & Song, W. D. (2018). Additively-manufactured functionally graded Ti-6Al-4V lattice structures with high strength under static and dynamic loading: Experiments. International Journal of Impact Engineering, 111, 255–272.

    Article  Google Scholar 

  28. Yao, G. F., Liu, R. Y., Xu, Z. Z., Xin, R. L., Chen, L. X., Yu, Z. L., & Zhang, Z. H. (2021). Study on quasi-static mechanical properties of four 3D-printed bio-inspired structures based on functional relationship. Composite Structures, 274, 114304.

    Article  Google Scholar 

  29. Gibson, L., & Ashby, M. (1997). Cellular solids: Structure and properties (pp. 187–201). Cambridge University Press.

    Book  Google Scholar 

  30. Avalle, M., Belingardi, G., & Ibba, A. (2007). Mechanical models of cellular solids: Parameters identification from experimental tests. International Journal of Impact Engineering, 34, 3–27.

    Article  Google Scholar 

  31. Mohr, D., Xiao, Z. Y., & Vaziri, A. (2006). Quasi-static punch indentation of a honeycomb sandwich plate: Experiments and modelling. Journal of Mechanics of Materials & Structures, 1, 581–604.

    Article  Google Scholar 

  32. Zhu, J. N., Borisov, E., Liang, X. H., Farber, E., Hermans, M. J. M., & Popovich, V. A. (2020). Predictive analytical modelling and experimental validation of processing maps in additive manufacturing of nitinol alloys. Additive Manufacturing, 38, 101802.

    Article  Google Scholar 

  33. Liang, M., Shi, J. X., Yang, C., & Gao, T. (2020). An emerging class of hyperbolic lattice exhibiting tunable elastic properties and impact absorption through chiral twisting. Extreme Mechanics Letters, 40, 100869.

    Article  Google Scholar 

  34. Korshunova, N., Alaimo, G., Hosseini, S. B., Carraturo, M., Reali, A., Niiranen, J., Auricchio, F., Rank, E., & Kollmannsberger, S. (2021). Bending behavior of octet-truss lattice structures: Modelling options, numerical characterization and experimental validation. Materials & Design, 205, 109693.

    Article  Google Scholar 

  35. Hu, Y., Fang, Q. Z., & Qian, J. (2021). Effect of cell structure on the uniaxial compression properties of closed-cell foam materials. Materials Today Communications, 26, 102104.

    Article  Google Scholar 

  36. Tian, Z. Y., Yan, Y., Li, J., Hong, Y., & Guo, F. L. (2017). Progressive damage and failure analysis of three-dimensional braided composites subjected to biaxial tension and compression. Composite Structures, 185, 496–507.

    Article  Google Scholar 

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Acknowledgements

This work is supported by National Key R&D program of of China (No. 2022YFB4600500), the National Natural Science Foundation of China (No. 51975246), the Science and Technology Development Program of Jilin Province, China (No. 20220101192JC), Capital construction fund plan within the budget of Jilin Province (No. 2023C041-4), Chongqing Natural Science Foundation (No. CSSTB2022NSCQ-MSX0225).

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RL: writing—original draft, writing—review and editing, visualization, project administration, data curation, formal analysis, methodology, software, formal analysis. GY: writing—review and editing, visualization, supervision, conceptualization, validation. ZX: writing—review and editing. XG: writing—review and editing. KG: writing—review and editing. JL: writing—review and editing. ZY: writing—review and editing, visualization, funding acquisition, resources, conceptualization, validation. PL: writing—review and editing, visualization, funding acquisition. ZZ: writing—review and editing. CH: writing—review and editing.

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Correspondence to Zhenglei Yu or Ping Liang.

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Liu, R., Yao, G., Xu, Z. et al. Mechanical Characteristics Analysis of 3D-printing Novel Chiral Honeycomb Array Structures Based on Functional Principle and Constitutive Relationship. J Bionic Eng 20, 1917–1929 (2023). https://doi.org/10.1007/s42235-023-00364-8

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