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Electronically configurable microscopic metasheet robots

Abstract

Shape morphing is vital to locomotion in microscopic organisms but has been challenging to achieve in sub-millimetre robots. By overcoming obstacles associated with miniaturization, we demonstrate microscopic electronically configurable morphing metasheet robots. These metabots expand locally using a kirigami structure spanning five decades in length, from 10 nm electrochemically actuated hinges to 100 μm splaying panels making up the ~1 mm robot. The panels are organized into unit cells that can expand and contract by 40% within 100 ms. These units are tiled to create metasheets with over 200 hinges and independent electronically actuating regions that enable the robot to switch between multiple target geometries with distinct curvature distributions. By electronically actuating independent regions with prescribed phase delays, we generate locomotory gaits. These results advance a metamaterial paradigm for microscopic, continuum, compliant, programmable robots and pave the way to a broad spectrum of applications, including reconfigurable micromachines, tunable optical metasurfaces and miniaturized biomedical devices.

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Fig. 1: Kirigami structure of metabots.
Fig. 2: Active 3D shape formation.
Fig. 3: Programmable 3D shape shifting from a metabot with multiple actuating regions.
Fig. 4: Locomoting metabots.

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Data availability

Source data are provided with this paper. Additional data are available from the corresponding authors upon request.

References

  1. Stephens, G. J., Johnson-Kerner, B., Bialek, W. & Ryu, W. S. From modes to movement in the behavior of Caenorhabditis elegans. PLoS ONE 5, e13914 (2010).

    Article  PubMed  PubMed Central  Google Scholar 

  2. Goldstein, R. E. Green algae as model organisms for biological fluid dynamics. Annu. Rev. Fluid Mech. 47, 343–375 (2015).

    Article  PubMed  PubMed Central  Google Scholar 

  3. Mast, S. O. Structure, movement, locomotion, and stimulation in amoeba. J. Morphol. 41, 347–425 (1926).

    Article  Google Scholar 

  4. Griniasty, I., Mostajeran, C. & Cohen, I. Multivalued inverse design: multiple surface geometries from one flat sheet. Phys. Rev. Lett. 127, 128001 (2021).

    Article  CAS  PubMed  Google Scholar 

  5. Choi, G. P., Dudte, L. H. & Mahadevan, L. Programming shape using kirigami tessellations. Nat. Mater. 18, 999–1004 (2019).

    Article  CAS  PubMed  Google Scholar 

  6. Sharon, E., Roman, B., Marder, M., Shin, G. S. & Swinney, H. L. Buckling cascades in free sheets. Nature 419, 579 (2002).

    Article  CAS  PubMed  Google Scholar 

  7. Ning, X. et al. Assembly of advanced materials into 3D functional structures by methods inspired by origami and kirigami: a review. Adv. Mater. Interfaces 5, 1800284 (2018).

    Article  Google Scholar 

  8. Kim, J., Hanna, J. A., Byun, M., Santangelo, C. D. & Hayward, R. C. Designing responsive buckled surfaces by halftone gel lithography. Science 335, 1201–1205 (2012).

    Article  CAS  PubMed  Google Scholar 

  9. Miskin, M. Z. et al. Electronically integrated, mass-manufactured, microscopic robots. Nature 584, 557–561 (2020).

    Article  CAS  PubMed  Google Scholar 

  10. Bandari, V. K. et al. A flexible microsystem capable of controlled motion and actuation by wireless power transfer. Nat. Electron. 3, 172–180 (2020).

    Article  Google Scholar 

  11. Cui, J. et al. Nanomagnetic encoding of shape-morphing micromachines. Nature 575, 164–168 (2019).

    Article  CAS  PubMed  Google Scholar 

  12. Hu, W., Lum, G. Z., Mastrangeli, M. & Sitti, M. Small-scale soft-bodied robot with multimodal locomotion. Nature 554, 81–85 (2018).

    Article  CAS  PubMed  Google Scholar 

  13. Jafferis, N. T., Helbling, E. F., Karpelson, M. & Wood, R. J. Untethered flight of an insect-sized flapping-wing microscale aerial vehicle. Nature 570, 491–495 (2019).

    Article  CAS  PubMed  Google Scholar 

  14. Wang, J. & Gao, W. Nano/microscale motors: biomedical opportunities and challenges. ACS Nano 6, 5745–5751 (2012).

    Article  CAS  PubMed  Google Scholar 

  15. Tanjeem, N., Minnis, M. B., Hayward, R. C. & Shields, C. W. IV Shape‐changing particles: from materials design and mechanisms to implementation. Adv. Mater. 34, 2105758 (2022).

    Article  CAS  Google Scholar 

  16. Li, S. et al. Liquid-induced topological transformations of cellular microstructures. Nature 592, 386–391 (2021).

    Article  CAS  PubMed  Google Scholar 

  17. Hines, L., Petersen, K., Lum, G. Z. & Sitti, M. Soft actuators for small‐scale robotics. Adv. Mater. 29, 1603483 (2017).

    Article  Google Scholar 

  18. Reynolds, M. F. et al. Microscopic robots with onboard digital control. Sci. Robot. 7, eabq2296 (2022).

    Article  PubMed  Google Scholar 

  19. Wang, W. et al. Cilia metasurfaces for electronically programmable microfluidic manipulation. Nature 605, 681–686 (2022).

    Article  CAS  PubMed  Google Scholar 

  20. Ren, Z. et al. Soft-robotic ciliated epidermis for reconfigurable coordinated fluid manipulation. Sci. Adv. 8, eabq2345 (2022).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  21. Liu, Q. et al. Micrometer-sized electrically programmable shape-memory actuators for low-power microrobotics. Sci. Robot. 6, eabe6663 (2021).

    Article  PubMed  Google Scholar 

  22. Zheng, X. et al. Ultralight, ultrastiff mechanical metamaterials. Science 344, 1373–1377 (2014).

    Article  CAS  PubMed  Google Scholar 

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

    Article  CAS  PubMed  Google Scholar 

  24. Pan, F. et al. 3D pixel mechanical metamaterials. Adv. Mater. 31, 1900548 (2019).

    Article  Google Scholar 

  25. Xia, X. et al. Electrochemically reconfigurable architected materials. Nature 573, 205–213 (2019).

    Article  CAS  PubMed  Google Scholar 

  26. Tang, Y., Li, Y., Hong, Y., Yang, S. & Yin, J. Programmable active kirigami metasheets with more freedom of actuation. Proc. Natl Acad. Sci. USA 116, 26407–26413 (2019).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  27. Peraza Hernandez, E. A., Hartl, D. J. & Lagoudas, D. C. Active Origami: Modeling, Design, and Applications (Springer, 2018).

  28. Yang, Y., Dias, M. A. & Holmes, D. P. Multistable kirigami for tunable architected materials. Phys. Rev. Mater. 2, 110601 (2018).

    Article  CAS  Google Scholar 

  29. Peraza Hernandez, E. A., Hartl, D. J. & Lagoudas, D. C. Design and simulation of origami structures with smooth folds. Proc. R. Soc. A 473, 20160716 (2017).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  30. Parthasarathy, A., Srinivasan, S., Appleby, A. J. & Martin, C. R. Temperature dependence of the electrode kinetics of oxygen reduction at the platinum/Nafion interface—a microelectrode investigation. J. Electrochem. Soc. 139, 2530 (1992).

    Article  CAS  Google Scholar 

  31. Park, S. M. et al. Electrochemical reduction of oxygen at platinum electrodes in KOH solutions—temperature and concentration effects. J. Electrochem. Soc. 133, 1641 (1986).

    Article  CAS  Google Scholar 

  32. Klein, J. et al. Lubrication forces between surfaces bearing polymer brushes. Macromolecules 26, 5552–5560 (1993).

    Article  CAS  Google Scholar 

  33. Kim, M. U., Kim, K. W., Cho, Y. H. & Kwak, B. M. Hydrodynamic force on a plate near the plane wall. Part I: plate in sliding motion. Fluid Dyn. Res. 29, 137–170 (2001).

    Article  Google Scholar 

Download references

Acknowledgements

We thank E. Demaine, T. Tachi and H. Zhang for discussions and T. Pennell, J. Clark, V. Genova, G. Bordonaro and Z. Liang for technical support. This work was supported by the National Science Foundation (EFRI C3 SoRo -1935252, I.C., A.B.A., N.L.A. and H.K.-G.), the Army Research Office (W911NF-23-1-0212 and ARO W911NF-18-1-0032, I.C.), the Cornell Center for Materials Research (DMR-1719875, I.C. D.A.M. and P.L.M.), the Air Force Office of Scientific Research (MURI: FA9550-16-1-0031, P.L.M.) and the Kavli Institute at Cornell for Nanoscale Science. This work was performed, in part, at Cornell NanoScale Facility, an NNCI member supported by NSF grant NNCI-2025233. 3D imaging was performed by the Biotechnology Resource Center (BRC) Imaging Facility at the Cornell Institute of Biotechnology. Imaging data were acquired through the Cornell Institute of Biotechnology’s Imaging Facility, with NIH 1S10RR025502 funding for the shared Zeiss LSM710 confocal microscope.

Author information

Authors and Affiliations

Authors

Contributions

Q.L., A.B.A., N.L.A., H.K.-G., P.L.M. and I.C. conceived the project. Q.L. and W.W. performed the pattern design and device fabrication. Q.L. performed the SEM imaging, confocal fluorescence microscopy imaging, electrochemical measurements and shape morphing experiments. Q.L. and W.W. conducted the locomotion experiments. H.S., I.G., Q.L. and H.K.-G. performed the simulation. J.T.P., Q.L. and I.G. analysed the shape morphing data, I.G., J.Z.K., Q.L. and M.F.R. analysed the locomotion data. P.C., Q.L. and A.B.A. developed the circuit model of addressable hinges. M.C.C., Q.L. and D.A.M. conducted the transmission electron microscopy imaging experiment. Q.L. and I.C. wrote the manuscript, with all authors contributing.

Corresponding author

Correspondence to Itai Cohen.

Ethics declarations

Competing interests

Q.L., P.L.M. and I.C. are inventors on a patent application (PCT/US2021/021419) submitted by Cornell University that covers electrically programmable microscale shape-memory actuators and related robotic devices. W.W., Q.L., M.F.R., P.L.M. and I.C. are inventors on a provisional patent application (63/267,190) submitted by Cornell University that covers actuators and control electronics for cilium metasurfaces and a provisional patent application (63/368,751) submitted by Cornell University that covers integrated circuits for controlling microscopic robots. The other authors declare no competing interests.

Peer review

Peer review information

Nature Materials thanks Sung Kang, Metin Sitti and Jie Yin for their contribution to the peer review of this work.

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Supplementary information

Supplementary Information

Supplementary Figs. 1–16 and Notes 1–8.

Supplementary Video 1

Real-time videos showing the actuation of microsplay hinges and the unit cell of metabots. The corresponding confocal microscopy images at different voltages are also shown.

Supplementary Video 2

Real-time video of the actuation of a uniformly actuated metabot sheet.

Supplementary Video 3

Real-time videos showing the actuation of metabots with different sizes of triangular panels.

Supplementary Video 4

Real-time videos showing the actuation of a dome-shaped metabot with fixed boundary and the corresponding 3D shape imaged using confocal microscopy. Owing to the shape-memory effect of the actuators, the metabot could maintain its 3D shape even when the voltage was removed.

Supplementary Video 5

Real-time video of the actuation of metabots with square tessellations.

Supplementary Video 6

Real-time videos showing the independently actuated hinges.

Supplementary Video 7

Confocal fluorescence microscopy images showing small cap, plane and saddle shapes formed from the same pattern with different actuated areas.

Supplementary Video 8

Metabots with three or more activation zones.

Supplementary Video 9

A metabot crawling towards its head direction due to the symmetry breaking of its shape. The video has been sped up by a factor of 8.

Supplementary Video 10

A metabot without braces crawling unidirectionally.

Supplementary Video 11

A metabot with an intentionally broken hinge crawling effectively.

Source data

Source Data Fig. 2

Areal expansion ratio of the unit cell and cyclic voltammetry data plotted in Fig. 2b, and change in areal expansion ratio data plotted in Fig. 2c.

Source Data Fig. 3

Elastic energy data plotted in Fig. 3c.

Source Data Fig. 4

COM motion and area expansion ratio data plotted in Fig. 4c, COM data plotted in Fig. 4d, COM data for six different metabots plotted in Fig. 4e, histogram data between four states plotted in Fig. 4f and histogram data of the COM velocities plotted in Fig. 4g.

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Liu, Q., Wang, W., Sinhmar, H. et al. Electronically configurable microscopic metasheet robots. Nat. Mater. (2024). https://doi.org/10.1038/s41563-024-02007-7

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