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Shape recovery properties and load-carrying capacity of a 4D printed thick-walled kirigami-inspired honeycomb structure

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Abstract

Kirigami arts have provided a more promising method for building multiscale structures, which can shape two-dimensional (2D) sheets into three-dimensional (3D) configurations by cutting and folding. Here, we first carried out a theoretical analysis of the mechanical properties of 2D honeycomb lattice structures and experimental verification combined with finite element (FE) simulation. Furthermore, a series of thick-walled 3D kirigami-inspired honeycomb (TW3KH) structures with different mechanical properties were designed and fabricated on the exploration and optimization of geometric parameters of 2D honeycomb structures. The investigations of folding feasibility, self-expansion, and self-folding performance experimentally showed that our designed four-dimensional (4D) printing structure had good programmability and shape memory capability and a large volume change ratio during shape change. Meanwhile, research on its compression deformation behavior found that the TW3KH structures can recover load-bearing capacity very well when the angle is positive. Therefore, these TW3KH structures have great advantages in space-saving smart load-bearing equipment.

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References

  1. Wang ZG (2019) Recent advances in novel metallic honeycomb structure. Compos Part B Eng 166:731–741. https://doi.org/10.1016/j.compositesb.2019.02.011

    Article  Google Scholar 

  2. Morales MM, Ramos MJG, Vazquez PP et al (2020) Distribution of chemical residues in the beehive compartments and their transfer to the honeybee brood. Sci Total Environ 710:136288. https://doi.org/10.1016/j.scitotenv.2019.136288

    Article  Google Scholar 

  3. Qi C, Jiang F, Yang S (2021) Advanced honeycomb designs for improving mechanical properties: a review. Compos Part B Eng 227:109393. https://doi.org/10.1016/j.compositesb.2021.109393

    Article  Google Scholar 

  4. Zhang Q, Liu H (2020) On the dynamic response of porous functionally graded microbeam under moving load. Int J Eng Sci 153:103317. https://doi.org/10.1016/j.ijengsci.2020.103317

    Article  MathSciNet  MATH  Google Scholar 

  5. Zhang JJ, Lu GX, You Z (2020) Large deformation and energy absorption of additively manufactured auxetic materials and structures: a review. Compos Part B Eng 201:108340. https://doi.org/10.1016/j.compositesb.2020.108340

    Article  Google Scholar 

  6. Zhao W, Yue CB, Liu LW et al (2023) Mechanical behavior analyses of 4D printed metamaterials structures. Compos Struct 304:116360. https://doi.org/10.1016/j.compstruct.2022.116360

    Article  Google Scholar 

  7. Gao JY, You Z (2022) Origami-inspired Miura-ori honeycombs with a self-locking property. Thin-Walled Struct 171:108806. https://doi.org/10.1016/j.tws.2021.108806

    Article  Google Scholar 

  8. Wang QS, Li ZH, Zhang Y et al (2020) Ultra-low density architectured metamaterial with superior mechanical properties and energy absorption capability. Compos Part B Eng 202:108379. https://doi.org/10.1016/j.compositesb.2020.108379

    Article  Google Scholar 

  9. Bates SRG, Farrow IR, Trask RS (2019) Compressive behaviour of 3D printed thermoplastic polyurethane honeycombs with graded densities. Mater Des 162:130–142. https://doi.org/10.1016/j.matdes.2018.11.019

    Article  Google Scholar 

  10. Bayle O, Lorenzoni L, Blancquaert T et al (2016) Exomars entry descent and landing demonstrator mission and design overview. ExoMars EDM Overv Pap NASA

  11. Zhang YW, Yan LL, Zhang WB et al (2019) Metallic tube-reinforced aluminum honeycombs: compressive and bending performances. Compos Part B Eng 171:192–203. https://doi.org/10.1016/j.compositesb.2019.04.044

    Article  Google Scholar 

  12. Zhao W, Li N, Liu LW et al (2022) Origami derived self-assembly stents fabricated via 4D printing. Compos Struct 293:115669. https://doi.org/10.1016/j.compstruct.2022.115669

    Article  Google Scholar 

  13. Bai JB, Chen D, Xiong JJ et al (2019) Folding analysis for thin-walled deployable composite boom. Acta Astronaut 159:622–636. https://doi.org/10.1016/j.actaastro.2019.02.014

    Article  Google Scholar 

  14. Zhao W, Huang ZP, Liu LW et al (2022) Bionic design and performance research of tracheal stent based on shape memory polycaprolactone. Compos Sci Technol 229:109671. https://doi.org/10.1016/j.compscitech.2022.109671

    Article  Google Scholar 

  15. Xiao R, Feng XB, Fan R et al (2020) 3D printing of titanium-coated gradient composite lattices for lightweight mandibular prosthesis. Compos Part B Eng 193:108057. https://doi.org/10.1016/j.compositesb.2020.108057

    Article  Google Scholar 

  16. Zhao W, Huang ZP, Liu LW et al (2021) Porous bone tissue scaffold concept based on shape memory PLA/Fe3O4. Compos Sci Technol 205:108563. https://doi.org/10.1016/j.compscitech.2020.108563

    Article  Google Scholar 

  17. Zhao W, Zhu J, Liu LW et al (2021) Analysis of small-scale topology and macroscale mechanical properties of shape memory chiral-lattice metamaterials. Compos Struct 262:113569. https://doi.org/10.1016/j.compstruct.2021.113569

    Article  Google Scholar 

  18. Zhao W, Zhang FH, Leng JS et al (2019) Personalized 4D printing of bioinspired tracheal scaffold concept based on magnetic stimulated shape memory composites. Compos Sci Technol 184:107866. https://doi.org/10.1016/j.compscitech.2019.107866

    Article  Google Scholar 

  19. Zhao W, Liu LW, Zhang FH et al (2019) Shape memory polymers and their composites in biomedical applications. Mater Sci Eng C 97:864–883. https://doi.org/10.1016/j.msec.2018.12.054

    Article  Google Scholar 

  20. Yue CB, Li M, Liu YT et al (2021) Three-dimensional printing of cellulose nanofibers reinforced PHB/PCL/Fe3O4 magneto-responsive shape memory polymer composites with excellent mechanical properties. Addit Manuf 46:102146. https://doi.org/10.1016/j.addma.2021.102146

    Article  Google Scholar 

  21. Zhao W, Liu LW, Lan X et al (2023) Thermomechanical constitutive models of shape memory polymers and their composites. Appl Mech Rev 75(2):020802. https://doi.org/10.1115/1.4056131

    Article  Google Scholar 

  22. Van Manen T, Janbaz S, Ganjian M et al (2020) Kirigami-enabled self-folding origami. Mater Today 32:59–67. https://doi.org/10.1016/j.mattod.2019.08.001

    Article  Google Scholar 

  23. Castle T, Sussman DM, Tanis M et al (2016) Additive lattice kirigami. Sci Adv 2(9):e16012. https://doi.org/10.1126/sciadv.1601258

    Article  Google Scholar 

  24. Ning X, Wang XJ, Zhang Y et al (2018) Assembly of advanced materials into 3D functional structures by methods inspired by origami and kirigami: a review. Adv Mater Interfaces 5(13):1800284. https://doi.org/10.1002/admi.201800284

    Article  Google Scholar 

  25. Callens SJP, Zadpoor AA (2018) From flat sheets to curved geometries: origami and kirigami approaches. Mater Today 21(3):241–264. https://doi.org/10.1016/j.mattod.2017.10.004

    Article  Google Scholar 

  26. Zhai ZR, Wu LL, Jiang HQ (2021) Mechanical metamaterials based on origami and kirigami. Appl Phys Rev 8(4):41319. https://doi.org/10.1063/5.0051088

    Article  Google Scholar 

  27. Ma JY, Dai HP, Chai SB et al (2021) Energy absorption of sandwich structures with a kirigami-inspired pyramid foldcore under quasi-static compression and shear. Mater Des 206:109808. https://doi.org/10.1016/j.matdes.2021.109808

    Article  Google Scholar 

  28. Zhang X, Ma JY, Li MY et al (2022) Kirigami-based metastructures with programmable multistability. Proc Natl Acad Sci USA 119(11):e2117649119. https://doi.org/10.1073/pnas.2117649119

    Article  MathSciNet  Google Scholar 

  29. Le DH, Xu Y, Tentzeris MM et al (2020) Transformation from 2D meta-pixel to 3D meta-pixel using auxetic kirigami for programmable multifunctional electromagnetic response. Extrem Mech Lett 36:100670. https://doi.org/10.1016/j.eml.2020.100670

    Article  Google Scholar 

  30. Gruber P, Häuplik S, Imhof B et al (2007) Deployable structures for a human lunar base. Acta Astronaut 61:484–495. https://doi.org/10.1016/j.actaastro.2007.01.055

    Article  Google Scholar 

  31. Thesiya DA, Srinivas AR, Shukla P (2015) A novel lateral deployment mechanism for segmented mirror/solar panel of space telescope. J Astron Instrum 4:1550006. https://doi.org/10.1142/S2251171715500063

    Article  Google Scholar 

  32. Sareh S, Rossiter J (2012) Kirigami artificial muscles with complex biologically inspired morphologies. Smart Mater Struct 22(1):14004. https://doi.org/10.1088/0964-1726/22/1/014004

    Article  Google Scholar 

  33. Sun J, Scarpa F, Liu YJ et al (2015) Morphing thickness in airfoils using pneumatic flexible tubes and kirigami honeycomb. J Intell Mater Syst Struct 27(6):755–763. https://doi.org/10.1177/1045389X15580656

    Article  Google Scholar 

  34. Zhang YH, Yan Z, Nan KW et al (2015) A mechanically driven form of kirigami as a route to 3D mesostructures in micro/nanomembranes. Proc Natl Acad Sci USA 112(38):11757–11764. https://doi.org/10.1073/pnas.1515602112

    Article  Google Scholar 

  35. Tao R, Ji LT, Li Y et al (2020) 4D printed origami metamaterials with tunable compression twist behavior and stress-strain curves. Compos Part B Eng 201:108344. https://doi.org/10.1016/j.compositesb.2020.108344

    Article  Google Scholar 

  36. Liu Y, Zhang W, Zhang FH et al (2018) Shape memory behavior and recovery force of 4D printed laminated Miura-origami structures subjected to compressive loading. Compos Part B Eng 153:233–242. https://doi.org/10.1016/j.compositesb.2018.07.053

    Article  Google Scholar 

  37. Xin XZ, Liu LW, Liu YJ et al (2020) Origami-inspired self-deployment 4D printed honeycomb sandwich structure with large shape transformation. Smart Mater Struct 29(6):65015. https://doi.org/10.1088/1361-665x/ab85a4

    Article  Google Scholar 

  38. Song C, Zou BH, Cui ZM et al (2021) Thermomechanically triggered reversible multi-transformability of a single material system by energy swapping and shape memory effects. Adv Funct Mater 31(32):2101395. https://doi.org/10.1002/adfm.202101395

    Article  Google Scholar 

  39. Zhao W, Liu LW, Leng JS et al (2019) Thermo-mechanical behavior prediction of particulate reinforced shape memory polymer composite. Compos Part B Eng 179:107455. https://doi.org/10.1016/j.compositesb.2019.107455

    Article  Google Scholar 

  40. Xin XZ, Liu LW, Liu YJ et al (2020) 4D printing auxetic metamaterials with tunable, programmable, and reconfigurable mechanical properties. Adv Funct Mater 30(43):2004226. https://doi.org/10.1002/adfm.202004226

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 12072094 and 12172106).

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Authors and Affiliations

  1. Department of Astronautical Science and Mechanics, Harbin Institute of Technology, Harbin, 150001, China

    Chengbin Yue, Wei Zhao, Fengfeng Li, Liwu Liu & Yanju Liu

  2. Center for Composite Materials and Structure, Harbin Institute of Technology, Harbin, 150080, China

    Jinsong Leng

Authors
  1. Chengbin Yue
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  2. Wei Zhao
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  3. Fengfeng Li
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  4. Liwu Liu
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  5. Yanju Liu
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Contributions

CBY conceived the idea, designed the experiments, carried out the data analysis, and wrote the first draft of the manuscript. WZ contributed to the guidance of the theoretical calculations and idea improvement. LWL contributed to supervision. FFL contributed to language modification. YJL and JSL had scientific discussions and improved the manuscript. All authors reviewed and commented on the manuscript.

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Correspondence to Liwu Liu or Jinsong Leng.

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This article does not contain any studies with human or animal subjects performed by any of the authors.

Additional information

Chengbin Yue and Wei Zhao have contributed equally to this work.

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Yue, C., Zhao, W., Li, F. et al. Shape recovery properties and load-carrying capacity of a 4D printed thick-walled kirigami-inspired honeycomb structure. Bio-des. Manuf. 6, 189–203 (2023). https://doi.org/10.1007/s42242-022-00230-2

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