Soft shape-programmable surfaces by fast electromagnetic actuation of liquid metal networks
Open accessAbstract
Low modulus materials that can shape-morph into different three-dimensional (3D) configurations in response to external stimuli have wide-ranging applications in flexible/stretchable electronics, surgical instruments, soft machines and soft robotics. This paper reports a shape-programmable system that exploits liquid metal microfluidic networks embedded in an elastomer matrix, with electromagnetic forms of actuation, to achieve a unique set of properties. Specifically, this materials structure is capable of fast, continuous morphing into a diverse set of continuous, complex 3D surfaces starting from a two-dimensional (2D) planar configuration, with fully reversible operation. Computational, multi-physics modeling methods and advanced 3D imaging techniques enable rapid, real-time transformations between target shapes. The liquid-solid phase transition of the liquid metal allows for shape fixation and reprogramming on demand. An unusual vibration insensitive, dynamic 3D display screen serves as an application example of this type of morphable surface.
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Ni et al. [133] presented an FIM with shape-morphing capabilities using liquid metal networks embedded in a flexible material, allowing the surface to rapidly and continuously transform into complex 3D shapes as needed.
“Moreover, Ni et al. [133] presented an FIM with shape-morphing capabilities using liquid metal networks embedded in a flexible material. This design takes advantage of the liquid-solid phase transition of the liquid metal, allowing the surface to rapidly and continuously transform into complex 3D shapes as needed.”
From Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications (2026) · cites this paper as [133]
The Introduction and the Results section on fast 3D shape morphing describe liquid-metal networks embedded in an elastomer and rapid, continuous transformations into complex 3D surfaces. But the Results attribute fast transformations to electromagnetic actuation; the liquid–solid phase transition is used for shape fixation and reprogramming, not to drive rapid morphing. Page numbers are unavailable in our copy. (LLM, conf=0.91)
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Cites
A flexible new technique for camera calibration
Zhang, Z. (2000) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.888718 · Cited by 15,004 · see citing works
Sydney Gladman, A., Matsumoto, E. A., Nuzzo, R. G., Mahadevan, L., & Lewis, J. A. (2016) · Nature Materials · doi:10.1038/nmat4544 · Cited by 3,027 · see citing works
Jin, B., Song, H., Jiang, R., Song, J., Zhao, Q., & Xie, T. (2018) · Science Advances · doi:10.1126/sciadv.aao3865 · Cited by 497 · see citing works
Morphable 3D mesostructures and microelectronic devices by multistable buckling mechanics
Fu, H., Nan, K., Bai, W., Huang, W., Bai, K., Lu, L., Zhou, C., Liu, Y., Liu, F., Wang, J., et al. (2018) · Nature Materials · doi:10.1038/s41563-017-0011-3 · Cited by 393 · see citing works
Self-citationLiu, C., Kim, J., Kwak, S. S., Hourlier‐Fargette, A., Avila, R., Vogl, J., Tzavelis, A., Chung, H. U., Lee, J. Y., Kim, D. H., et al. (2021) · Advanced Healthcare Materials · doi:10.1002/adhm.202100383 · Cited by 57 · see citing works
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Research works printed but not linked: 65
- [1]Chen T Bilal OR Lang R Daraio C Shea K Autonomous deployment of a solar panel using elastic origami and distributed shape-memory-polymer actuators Phys. Rev. Appl. 2019 11 064069 10.1103/PhysRevApplied.11.064069 · DOI
- [2]Zareei A Deng B Bertoldi K Harnessing transition waves to realize deployable structures Proc. Natl Acad. Sci. U.S.A. 2020 117 4015 4020 10.1073/pnas.1917887117 32041876 PMC7049108 · DOI
- [3]Kim Y Yuk H Zhao R Chester SA Zhao X Printing ferromagnetic domains for untethered fast-transforming soft materials Nature 2018 558 274 279 10.1038/s41586-018-0185-0 29899476 · DOI
- [4]Kotikian A Untethered soft robotic matter with passive control of shape morphing and propulsion Sci. Robot. 2019 4 eaax7044 10.1126/scirobotics.aax7044 33137783 · DOI · Paper page
- [5]Zhang F Rapidly deployable and morphable 3D mesostructures with applications in multimodal biomedical devices Proc. Natl Acad. Sci. U.S.A. 2021 118 e2026414118 10.1073/pnas.2026414118 33836614 PMC7980465 · DOI
- [6]Lind JU Instrumented cardiac microphysiological devices via multimaterial three-dimensional printing Nat. Mater. 2017 16 303 308 10.1038/nmat4782 27775708 PMC5321777 · DOI · Paper page
- [7]Yao S Nanomaterial‐enabled flexible and stretchable sensing systems: processing, integration, and applications Adv. Mater. 2020 32 1902343 10.1002/adma.201902343 31464046 · DOI
- [8]Bolaños Quiñones VA Zhu H Solovev AA Mei Y Gracias DH Origami biosystems: 3D assembly methods for biomedical applications Adv. Biosyst. 2018 2 1800230 10.1002/adbi.201800230 PMC13374002 42466011 · DOI
- [9]Park S Adaptive and multifunctional hydrogel hybrid probes for long-term sensing and modulation of neural activity Nat. Commun. 2021 12 3435 10.1038/s41467-021-23802-9 34103511 PMC8187649 · DOI · Paper page
- [10]Ballew C Roberts G Camayd-Muñoz S Debbas MF Faraon A Mechanically reconfigurable multi-functional meta-optics studied at microwave frequencies Sci. Rep. 2021 11 11145 10.1038/s41598-021-88785-5 34045469 PMC8160010 · DOI
- [11]Spägele C Multifunctional wide-angle optics and lasing based on supercell metasurfaces Nat. Commun. 2021 12 3787 10.1038/s41467-021-24071-2 34145275 PMC8213840 · DOI
- [12]Ding M Multifunctional soft machines based on stimuli-responsive hydrogels: from freestanding hydrogels to smart integrated systems Mater. Today Adv. 2020 8 100088 10.1016/j.mtadv.2020.100088 · DOI
- [13]Pikul JH Stretchable surfaces with programmable 3D texture morphing for synthetic camouflaging skins Science 2017 358 210 214 10.1126/science.aan5627 29026040 · DOI
- [14]Terwagne D Brojan M Reis PM Smart morphable surfaces for aerodynamic drag control Adv. Mater. 2014 26 6608 6611 10.1002/adma.201401403 24956072 · DOI
- [15]Tuo Y Drag reduction of anisotropic superhydrophobic surfaces prepared by laser etching Langmuir 2019 35 11016 11022 10.1021/acs.langmuir.9b01040 31364849 · DOI
- [16]Liu K Hacker F Daraio C Robotic surfaces with reversible, spatiotemporal control for shape morphing and object manipulation Sci. Robot. 2021 6 eabf5116 10.1126/scirobotics.abf5116 34043570 · DOI
- [17]Cheng Y Lu H Lee X Zeng H Priimagi A Kirigami-based light-induced shape-morphing and locomotion Adv. Mater. 2020 32 1906233 10.1002/adma.201906233 31834665 · DOI
- [18]Zeng H Light-fueled microscopic walkers Adv. Mater. 2015 27 3883 3887 10.1002/adma.201501446 26033690 PMC4660875 · DOI
- [19]Mohd Jani J Leary M Subic A Gibson MA A review of shape memory alloy research, applications and opportunities Mater. Des. 2014 56 1078 1113 10.1016/j.matdes.2013.11.084 · DOI
- [20]Rodriguez, J. N. et al. Shape-morphing composites with designed micro-architectures. Sci. Rep. 6, 27933 (2016). PMC4908431 27301435
- [21]Jiang Z Strong, self-healable, and recyclable visible-light‐responsive hydrogel actuators Angew. Chem. 2020 132 7115 7122 10.1002/ange.201916058 32167650 · DOI
- [22]Kim H Light‐driven shape morphing, assembly, and motion of nanocomposite gel surfers Adv. Mater. 2019 31 1900932 10.1002/adma.201900932 31081182 · DOI
- [24]Jager EWH Microrobots for micrometer-size objects in aqueous media: potential tools for single-cell manipulation Science 2000 288 2335 2338 10.1126/science.288.5475.2335 10875911 · DOI
- [25]Hajiesmaili E Clarke DR Reconfigurable shape-morphing dielectric elastomers using spatially varying electric fields Nat. Commun. 2019 10 10 16 10.1038/s41467-018-08094-w 30643143 PMC6331644 · DOI · Paper page
- [26]Wang J Li S Gao D Xiong J Lee PS Reconfigurable and programmable origami dielectric elastomer actuators with 3D shape morphing and emissive architectures NPG Asia Mater. 2019 11 71 10.1038/s41427-019-0173-3 · DOI
- [27]Lee H Directional shape morphing transparent walking soft robot Soft Robot. 2019 6 760 767 10.1089/soro.2018.0164 31343386 · DOI
- [28]Kim H Biomimetic color changing anisotropic soft actuators with integrated metal nanowire percolation network transparent heaters for soft robotics Adv. Funct. Mater. 2018 28 1801847 10.1002/adfm.201801847 · DOI
- [29]Wang S Asymmetric elastoplasticity of stacked graphene assembly actualizes programmable untethered soft robotics Nat. Commun. 2020 11 4359 10.1038/s41467-020-18214-0 32868779 PMC7459344 · DOI
- [30]Zhang X Photoactuators and motors based on carbon nanotubes with selective chirality distributions Nat. Commun. 2014 5 2983 10.1038/ncomms3983 24394587 · DOI
- [31]Xu S Assembly of micro/nanomaterials into complex, three-dimensional architectures by compressive buckling Science 2015 347 154 159 10.1126/science.1260960 25574018 · DOI
- [32]Zhang, Y. et al. Printing, folding and assembly methods for forming 3D mesostructures in advanced materials. Nat. Rev. Mater. 2, 17019 (2017).
- [33]Luan, H. et al. Complex 3D microfluidic architectures formed by mechanically guided compressive buckling. Sci. Adv. 7, eabj3686 (2021). PMC8528415 34669471
- [35]Lin G Cuts guided deterministic buckling in arrays of soft parallel plates for multifunctionality ACS Appl. Mater. Interfaces 2017 9 29345 29354 10.1021/acsami.7b09466 28817253 · DOI
- [36]Dieleman P Vasmel N Waitukaitis S van Hecke M Jigsaw puzzle design of pluripotent origami Nat. Phys. 2020 16 63 68 10.1038/s41567-019-0677-3 · DOI
- [37]Miskin MZ Graphene-based bimorphs for micron-sized, tautonomous origami machines Proc. Natl Acad. Sci. U.S.A. 2018 115 466 470 10.1073/pnas.1712889115 29295917 PMC5776973 · DOI
- [38]Huang Q Solvent responsive self‐folding of 3D photosensitive graphene architectures Adv. Intell. Syst. 2020 2000195 2000195 10.1002/aisy.202000195 · DOI
- [39]Xu W Self-folding hybrid graphene skin for 3D biosensing Nano Lett. 2019 19 1409 1417 10.1021/acs.nanolett.8b03461 30433789 PMC6432654 · DOI
- [40]Boley JW Shape-shifting structured lattices via multimaterial 4D printing Proc. Natl Acad. Sci. U.S.A. 2019 116 20856 20862 10.1073/pnas.1908806116 31578256 PMC6800333 · DOI
- [41]McMahan C Shape-morphing architected sheets with non-periodic cut patterns Soft Matter 2018 14 9744 9749 10.1039/C8SM02082E 30511736 · DOI
- [42]Ni X 2D mechanical metamaterials with widely tunable unusual modes of thermal expansion Adv. Mater. 2019 31 1 10 10.1002/adma.201905405 31595583 · DOI
- [43]Weng S 4D printing of glass fiber-regulated shape shifting structures with high stiffness ACS Appl. Mater. Interfaces 2021 13 12797 12804 10.1021/acsami.0c18988 33355461 · DOI
- [45]Nojoomi A Arslan H Lee K Yum K Bioinspired 3D structures with programmable morphologies and motions Nat. Commun. 2018 9 3705 10.1038/s41467-018-05569-8 30209312 PMC6135848 · DOI
- [46]Zhao X Active scaffolds for on-demand drug and cell delivery Proc. Natl Acad. Sci. U.S.A. 2011 108 67 72 10.1073/pnas.1007862108 21149682 PMC3017202 · DOI
- [47]Melancon D Gorissen B García-Mora CJ Hoberman C Bertoldi K Multistable inflatable origami structures at the metre scale Nature 2021 592 545 550 10.1038/s41586-021-03407-4 33883736 · DOI
- [48]Mao G Soft electromagnetic actuators Sci. Adv. 2020 6 eabc0251 10.1126/sciadv.abc0251 32637626 PMC7319732 · DOI
- [49]Ford MJ A multifunctional shape-morphing elastomer with liquid metal inclusions Proc. Natl Acad. Sci. U.S.A. 2019 116 21438 21444 10.1073/pnas.1911021116 31591232 PMC6815160 · DOI
- [50]Haines CS Artificial muscles from fishing line and sewing thread Science 2014 343 868 872 10.1126/science.1246906 24558156 · DOI
- [51]Na J-H Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers Adv. Mater. 2015 27 79 85 10.1002/adma.201403510 25362863 · DOI
- [52]Zhang H Guo X Wu J Fang D Zhang Y Soft mechanical metamaterials with unusual swelling behavior and tunable stress-strain curves Sci. Adv. 2018 4 eaar8535 10.1126/sciadv.aar8535 29888326 PMC5993477 · DOI
- [53]Ma C Supramolecular lego assembly towards three-dimensional multi-responsive hydrogels Adv. Mater. 2014 26 5665 5669 10.1002/adma.201402026 24975743 · DOI
- [55]Yan Z Mechanical assembly of complex, 3D mesostructures from releasable multilayers of advanced materials Sci. Adv. 2016 2 e1601014 10.1126/sciadv.1601014 27679820 PMC5035128 · DOI
- [56]Bai, Y. et al. A dynamically reprogrammable metasurface with self-evolving shape morphing. arXiv:2112.04631. https://arxiv.org/abs/2112.04631 (2021). · arXiv
- [57]Solav D Moerman KM Jaeger AM Genovese K Herr HM MultiDIC: an open-source toolbox for multi-view 3D digital image correlation IEEE Access 2018 6 30520 30535 10.1109/ACCESS.2018.2843725 · DOI
- [58]Fu, H., Bai, K., Huang, Y. & Zhang, Y. Recent progress of morphable 3D mesostructures in advanced materials. J. Semicond. 41, 041604 (2020).
- [59]Won, P. et al. Transparent soft actuators/sensors and camouflage skins for imperceptible soft robotics. Adv. Mater. 33, 2002397 (2021). 33089569
- [60]Kim H Shape morphing smart 3D actuator materials for micro soft robot Mater. Today 2020 41 243 269 10.1016/j.mattod.2020.06.005 · DOI
- [61]Briggs LJ Gallium: thermal conductivity; supercooling; negative pressure J. Chem. Phys. 1957 26 784 786 10.1063/1.1743405 · DOI
- [62]Kuder IK Arrieta AF Raither WE Ermanni P Variable stiffness material and structural concepts for morphing applications Prog. Aerosp. Sci. 2013 63 33 55 10.1016/j.paerosci.2013.07.001 · DOI
- [63]Wang W Ahn S-H Shape memory alloy-based soft gripper with variable stiffness for compliant and effective grasping Soft Robot 2017 4 379 389 10.1089/soro.2016.0081 29251571 · DOI
- [64]Imamura H Kadooka K Taya M A variable stiffness dielectric elastomer actuator based on electrostatic chucking Soft Matter 2017 13 3440 3448 10.1039/C7SM00546F 28440369 · DOI
- [65]Wang Y Li L Hofmann D Andrade JE Daraio C Structured fabrics with tunable mechanical properties Nature 2021 596 238 243 10.1038/s41586-021-03698-7 34381233 · DOI
- [66]Chen T Pauly M Reis PM A reprogrammable mechanical metamaterial with stable memory Nature 2021 589 386 390 10.1038/s41586-020-03123-5 33473228 · DOI
- [67]Di Lillo L Raither W Bergamini A Zündel M Ermanni P Tuning the mechanical behaviour of structural elements by electric fields Appl. Phys. Lett. 2013 102 224106 10.1063/1.4809728 · DOI
- [68]Murray G Gandhi F Multi-layered controllable stiffness beams for morphing: energy, actuation force, and material strain considerations Smart Mater. Struct. 2010 19 045002 10.1088/0964-1726/19/4/045002 · DOI
- [69]Raither W Heymanns M Bergamini A Ermanni P Morphing wing structure with controllable twist based on adaptive bending–twist coupling Smart Mater. Struct. 2013 22 065017 10.1088/0964-1726/22/6/065017 · DOI
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Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications
An, J., Debbah, M., Cui, T. J., Chen, Z. N., & Yuen, C. (2026) · IEEE Transactions on Antennas and Propagation · doi:10.1109/tap.2025.3571069 · Cited by 72 · see citing works
“Moreover, Ni et al. [133] presented an FIM with shape-morphing capabilities using liquid metal networks embedded in a flexible material.”
Downlink Multiuser Communications Relying on Flexible Intelligent Metasurfaces
An, J., Yuen, C., Di Renzo, M., Debbah, M., Poor, H. V., & Hanzo, L. (2024) · GLOBECOM 2024 - 2024 IEEE Global Communications Conference · doi:10.1109/globecom52923.2024.10901792 · Cited by 4 · see citing works
Emerging Technologies in Intelligent Metasurfaces: Shaping the Future of Wireless Communications
An, J., Debbah, M., Cui, T. J., Chen, Z. N., & Yuen, C. (2024) · arXiv · Cited by 72 · see citing works
“Moreover, Ni et al. [133] presented an FIM with shape-morphing capabilities using liquid metal networks embedded in a flexible material.”
- Authors
- Ni, X., Luan, H., Kim, J.-T., Rogge, S. I., Bai, Y., Kwak, J. W., Liu, S., Yang, D. S., Li, S., Li, S., Li, Z., Zhang, Y., Wu, C., Ni, X., Huang, Y., Wang, H., & Rogers, J. A.
- Affiliations
- Northwestern University (US)
- Corresponding author
- Ni, Xiaoyue
- Huang, Yonggang
- Wang, Heling
- Rogers, John A.
- ORCID
- Venue
- Nature Communications
- Published
- 2022-09-23
- Volume
- 13
- Issue
- 1
- Pages
- 5576-5576
- ISSN
- 2041-1723 (ISSN-L)
- PMC
- PMC9508113
- OpenAlex
- W4297022396
- Cited by
- 110
- References
- 5
- Citations by year
- 2026: 29 · 2025: 27 · 2024: 33 · 2023: 21
- FWCI
- 7.64
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Nature Communications (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- United States Department of Defense | United States Army | U.S. Army Research, Development and Engineering Command | Army Research Office (W911NF-17-1-0351)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
- Physical Sciences › Engineering › Biomedical Engineering › Dielectric materials and actuators
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electrowetting and Microfluidic Technologies
- Keywords
- electromagnetic actuation, elastomer matrix, melting, soft robotics, 3D morphing, shape fixation, multiphysics simulation, soft machines
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