Abstract
Shape-morphing systems can be found in many areas, including smart textiles1, autonomous robotics2, biomedical devices3, drug delivery4 and tissue engineering5. The natural analogues of such systems are exemplified by nastic plant motions, where a variety of organs such as tendrils, bracts, leaves and flowers respond to environmental stimuli (such as humidity, light or touch) by varying internal turgor, which leads to dynamic conformations governed by the tissue composition and microstructural anisotropy of cell walls6,7,8,9,10. Inspired by these botanical systems, we printed composite hydrogel architectures that are encoded with localized, anisotropic swelling behaviour controlled by the alignment of cellulose fibrils along prescribed four-dimensional printing pathways. When combined with a minimal theoretical framework that allows us to solve the inverse problem of designing the alignment patterns for prescribed target shapes, we can programmably fabricate plant-inspired architectures that change shape on immersion in water, yielding complex three-dimensional morphologies.
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References
Hu, J., Meng, H., Li, G. & Ibekwe, S. I. A review of stimuli-responsive polymers for smart textile applications. Smart Mater. Struct. 21, 053001 (2012).
Felton, S., Tolley, M., Demaine, E., Rus, D. & Wood, R. A method for building self-folding machines. Science 345, 644–646 (2014).
Randall, C. L., Gultepe, E. & Gracias, D. H. Self-folding devices and materials for biomedical applications. Trends Biotechnol. 30, 138–146 (2012).
Fernandes, R. & Gracias, D. H. Self-folding polymeric containers for encapsulation and delivery of drugs. Adv. Drug Deliv. Rev. 64, 1579–1589 (2012).
Kuribayashi-Shigetomi, K., Onoe, H. & Takeuchi, S. Cell origami: self-folding of three-dimensional cell-laden microstructures driven by cell traction force. PLoS ONE 7, e51085 (2012).
Forterre, Y., Skotheim, J., Dumais, J. & Mahadevan, L. How the Venus flytrap snaps. Nature 433, 421–425 (2005).
Awell, B. J., Kriedemann, P. E. & Turnbull, C. G. N. Plants in Action (Macmillan Education AU, 1999).
Reyssat, E. & Mahadevan, L. Hygromorphs: from pine cones to biomimetic bilayers. J. R. Soc. Interface 6, 951–957 (2009).
Armon, S., Efrati, E., Kupferman, R. & Sharon, E. Geometry and mechanics in the opening of chiral seed pods. Science 333, 1726–1730 (2011).
Fratzl, P. & Burgert, I. Actuation systems in plants as prototypes for bioinspired devices. Phil. Trans. R. Soc. A 6, 1541–1557 (2009).
Ge, Q., Qi, H. J. & Dunn, M. L. Active materials by four-dimension printing. Appl. Phys. Lett. 103, 131901 (2013).
Ratna, D. & Karger-Kocsis, J. Recent advances in shape memory polymers and composites: a review. J. Mater. Sci. 43, 254–260 (2008).
Erb, R. M., Sander, J. S., Grisch, R. & Studart, A. E. R. Self-shaping composites with programmable bioinspired microstructures. Nature Commun. 4, 1712 (2012).
Thérien-Aubin, H., Wu, Z. L., Nie, Z. & Kumacheva, E. Multiple shape transformations of composite hydrogel sheets. J. Am. Chem. Soc. 125, 4834–4839 (2013).
Tibbits, S. 4D printing: multi-material shape change. Archit. Des. 84, 116–121 (2014).
Ionov, L. Bioinspired microorigami by self-folding polymer films. Macromol. Chem. Phys. 214, 1178–1183 (2012).
Na, J. H. et al. Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers. Adv. Mat. 27, 79–85 (2015).
Liu, Y., Boyles, J. K., Genzer, J. & Dickey, M. D. Self-folding of polymer sheets using local light absorption. Soft Matter 8, 1764–1769 (2012).
Lewis, J. A. Direct ink writing of 3D functional materials. Adv. Funct. Mater. 16, 2193–2204 (2006).
Oytun, F., Kahveci, M. U. & Yagci, Y. Sugar overcomes oxygen inhibition in photoinitiated free radical polymerization. J. Polym. Sci. A 51, 1685–1689 (2013).
Josset, S. et al. Energy consumption of the nanofibrillation of bleached pulp, wheat straw and recycled newspaper through a grinding process. Nord. Pulp Paper Res. J. 29, 167–175 (2014).
Haraguchi, K. & Takehisa, T. Nanocomposite hydrogels: a unique organic-inorganic network structure with extraordinary mechanical, optical, and swelling/de-swelling properties. Adv. Mater. 14, 1120–1124 (2002).
Compton, B. G. & Lewis, J. A. 3D-printing of lightweight cellular composites. Adv. Mater. 26, 5930–5935 (2014).
Smay, J. E., Cesarano, J. & Lewis, J. A. Colloidal inks for directed assembly of 3-D periodic structures. Langmuir 18, 5429–5437 (2002).
Aharoni, H., Sharon, E. & Kupferman, R. Geometry of thin nematic elastomer sheets. Phys. Rev. Lett. 113, 257801 (2014).
Timoshenko, S. Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11, 233–255 (1925).
Modes, C. D., Bhattacharya, K. & Warner, M. Gaussian curvature from flat elastic sheets. Proc. R. Soc. A 467, 1121–1140 (2011).
Abraham, Y. et al. Titled cellulose arrangement as a novel mechanism for hygroscopic coiling in the stork’s bill awn. J. R. Soc. Interface 9, 640–647 (2012).
Liang, H. & Mahadevan, L. The shape of a long leaf. Proc. Natl Acad. Sci. USA 106, 22049–22054 (2009).
Liang, H. & Mahadevan, L. Growth, geometry, and mechanics of a blooming lily. Proc. Natl Acad. Sci. USA 108, 5516–5521 (2011).
van Doorn, W. G. Flower opening and closure: a review. J. Exp. Bot. 54, 1801–1812 (2003).
Haraguchi, K., Li, H.-J., Matsuda, K., Takehisa, T. & Elliott, E. Mechanism of forming organic/inorganic network structures during in-situ free-radical polymerization in PNIPA-clay nanocomposite hydrogels. Macromolecules 38, 3482–3490 (2005).
Yong, X., Kuksenok, O. & Balazs, A. C. Modeling free radical polymerization using dissipative particle dynamics. Polymer 72, 217–225 (2015).
Haraguchi, K., Murata, K. & Takehisa, T. Stimuli-responsive nanocomposite gels and soft nanocomposites consisting of inorganic clays and copolymers with different chemical affinities. Macromolecules 45, 385–391 (2012).
Acknowledgements
A.S.G. and J.A.L. were supported by the Army Research Office Award No. W911NF-13-0489. E.A.M. and L.M. werez supported by the NSF DMR 14-20570, Materials Research Science and Engineering Center, MRSEC and NSF DMREF 15-33985. We thank D. Stepp (ARO), A. Balazs (U. Pittsburgh), M. Brenner (Harvard) and B. Compton for useful discussions. We thank T. Zimmermann and the researchers at the Applied Wood Materials Laboratory at EMPA for providing samples of nanofibrillated cellulose. We also thank D. Kolesky for assistance with confocal imaging, D. Fitzgerald and J. Minardi for help with initial G-code programming, R. Valentin for permission to print a copy of his orchid photograph, and L. K. Sanders for help with photography and videography.
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A.S.G., R.G.N. and J.A.L. developed the 4D printing concept. A.S.G. designed the ink composition, printed and prepared all samples, obtained photographic images, and characterized alignment, swelling, mechanical and rheological properties. E.A.M. and L.M. developed the theoretical model. E.A.M. rendered and calculated the desired shapes and print paths, and generated the G-code for printing. A.S.G., E.A.M., L.M. and J.A.L. wrote the manuscript. A.S.G. and E.A.M. developed the figures. All authors commented on the manuscript.
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Sydney Gladman, A., Matsumoto, E., Nuzzo, R. et al. Biomimetic 4D printing. Nature Mater 15, 413–418 (2016). https://doi.org/10.1038/nmat4544
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DOI: https://doi.org/10.1038/nmat4544
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