Abstract
A rapidly expanding area of research in materials science involves the development of routes to complex 3D structures with feature sizes in the mesoscopic range (that is, between tens of nanometres and hundreds of micrometres). A goal is to establish methods for controlling the properties of materials systems and the function of devices constructed with them, not only through chemistry and morphology, but also through 3D architectures. The resulting systems, sometimes referred to as metamaterials, offer engineered behaviours with optical, thermal, acoustic, mechanical and electronic properties that do not occur in the natural world. Impressive advances in 3D printing techniques represent some of the most broadly recognized developments in this field, but recent successes with strategies based on concepts in origami, kirigami and deterministic assembly provide additional, unique options in 3D design and high-performance materials. In this Review, we highlight the latest progress and trends in methods for fabricating 3D mesostructures, beginning with the development of advanced material inks for nozzle-based approaches to 3D printing and new schemes for 3D optical patterning. In subsequent sections, we summarize more recent methods based on folding, rolling and mechanical assembly, including their application with materials such as designer hydrogels, monocrystalline inorganic semiconductors and graphene.
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References
- 1
Pendry, J. B., Holden, A. J., Stewart, W. J. & Youngs, I. Extremely low frequency plasmons in metallic mesostructures. Phys. Rev. Lett. 76, 4773 (1996).
- 2
Pendry, J. B., Holden, A. J., Robbins, D. J. & Stewart, W. J. Magnetism from conductors and enhanced nonlinear phenomena. IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
- 3
Smith, D. R., Padilla, W. J., Vier, D. C., Nemat-Nasser, S. C. & Schultz, S. Composite medium with simultaneously negative permeability and permittivity. Phys. Rev. Lett. 84, 4184 (2000).
- 4
Shelby, R. A., Smith, D. R. & Schultz, S. Experimental verification of a negative index of refraction. Science 292, 77–79 (2001).
- 5
Smith, D. R., Pendry, J. B. & Wiltshire, M. C. K. Metamaterials and negative refractive index. Science 305, 788–792 (2004).
- 6
Shelby, R. A., Smith, D. R., Nemat-Nasser, S. C. & Schultz, S. Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial. Appl. Phys. Lett. 78, 489 (2001).
- 7
Schurig, D. et al. Metamaterial electromagnetic cloak at microwave frequencies. Science 314, 977–980 (2006).
- 8
Parazzoli, C. G., Greegor, R. B., Li, K., Koltenbah, B. E. C. & Tanielian, M. Experimental verification and simulation of negative index of refraction using Snell's law. Phys. Rev. Lett. 90, 107401 (2003).
- 9
Linden, S. et al. Magnetic response of metamaterials at 100 terahertz. Science 306, 1351–1353 (2004).
- 10
Yen, T. J. et al. Terahertz magnetic response from artificial materials. Science 303, 1494–1496 (2004).
- 11
Chen, H. T. et al. Active terahertz metamaterial devices. Nature 444, 597–600 (2006).
- 12
Lezec, H. J., Dionne, J. A. & Atwater, H. A. Negative refraction at visible frequencies. Science 316, 430–432 (2007).
- 13
Zhang, S. et al. Experimental demonstration of near-infrared negative-index metamaterials. Phys. Rev. Lett. 95, 137404 (2005).
- 14
Cai, W. S., Chettiar, U. K., Kildishev, A. V. & Shalaev, V. M. Optical cloaking with metamaterials. Nat. Photonics 1, 224–227 (2007).
- 15
Liu, N. et al. Three-dimensional photonic metamaterials at optical frequencies. Nat. Mater. 7, 31–37 (2008).
- 16
Valentine, J. et al. Three-dimensional optical metamaterial with a negative refractive index. Nature 455, 376–379 (2008).
- 17
Norris, D. J., Arlinghaus, E. G., Meng, L. L., Heiny, R. & Scriven, L. E. Opaline photonic crystals: how does self-assembly work? Adv. Mater. 16, 1393–1399 (2004).
- 18
Campbell, M., Sharp, D. N., Harrison, M. T., Denning, R. G. & Turberfield, A. J. Fabrication of photonic crystals for the visible spectrum by holographic lithography. Nature 404, 53–56 (2000).
- 19
Jeon, S. et al. Fabricating complex three-dimensional nanostructures with high-resolution conformable phase masks. Proc. Natl Acad. Sci. USA 101, 12428–12433 (2004).
- 20
Maldovan, M. & Thomas, E. L. Diamond-structured photonic crystals. Nat. Mater. 3, 593–600 (2004).
- 21
Jang, J. H. et al. 3D micro- and nanostructures via interference lithography. Adv. Funct. Mater. 17, 3027–3041 (2007).
- 22
Lin, S. Y. et al. A three-dimensional photonic crystal operating at infrared wavelengths. Nature 394, 251–253 (1998).
- 23
Noda, S., Tomoda, K., Yamamoto, N. & Chutinan, A. Full three-dimensional photonic bandgap crystals at near-infrared wavelengths. Science 289, 604–606 (2000).
- 24
Qi, M. H. et al. A three-dimensional optical photonic crystal with designed point defects. Nature 429, 538–542 (2004).
- 25
Shir, D. et al. Three dimensional silicon photonic crystals fabricated by two photon phase mask lithography. Appl. Phys. Lett. 94, 011101 (2009).
- 26
Cumpston, B. H. et al. Two-photon polymerization initiators for three-dimensional optical data storage and microfabrication. Nature 398, 51–54 (1999). This paper introduces materials and methods for two-photon lithography techniques.
- 27
Kawata, S., Sun, H. B., Tanaka, T. & Takada, K. Finer features for functional microdevices: micromachines can be created with higher resolution using two-photon absorption. Nature 412, 697–698 (2001).
- 28
Deubel, M. et al. Direct laser writing of three-dimensional photonic-crystal templates for telecommunications. Nat. Mater. 3, 444–447 (2004).
- 29
LaFratta, C. N., Fourkas, J. T., Baldacchini, T. & Farrer, R. A. Multiphoton fabrication. Angew. Chem. Int. Ed. 46, 6238–6258 (2007).
- 30
Gansel, J. K. et al. Gold helix photonic metamaterial as broadband circular polarizer. Science 325, 1513–1515 (2009).
- 31
Ergin, T., Stenger, N., Brenner, P., Pendry, J. B. & Wegener, M. Three-dimensional invisibility cloak at optical wavelengths. Science 328, 337–339 (2010).
- 32
von Freymann, G. et al. Three-dimensional nanostructures for photonics. Adv. Funct. Mater. 20, 1038–1052 (2010).
- 33
Narayana, S. & Sato, Y. Heat flux manipulation with engineered thermal materials. Phys. Rev. Lett. 108, 214303 (2012).
- 34
Han, T. C. et al. Experimental demonstration of a bilayer thermal cloak. Phys. Rev. Lett. 112, 054302 (2014).
- 35
Xu, H. Y., Shi, X. H., Gao, F., Sun, H. D. & Zhang, B. L. Ultrathin three-dimensional thermal cloak. Phys. Rev. Lett. 112, 054301 (2014).
- 36
Liu, Z. Y. et al. Locally resonant sonic materials. Science 289, 1734–1736 (2000).
- 37
Fang, N. et al. Ultrasonic metamaterials with negative modulus. Nat. Mater. 5, 452–456 (2006).
- 38
Hussein, M. I., Leamy, M. J. & Ruzzene, M. Dynamics of phononic materials and structures: historical origins, recent progress, and future outlook. Appl. Mech. Rev. 66, 040802 (2014).
- 39
Cummer, S. A., Christensen, J. & Alu, A. Controlling sound with acoustic metamaterials. Nat. Rev. Mater. 1, 16001 (2016).
- 40
Schaedler, T. A. et al. Ultralight metallic microlattices. Science 334, 962–965 (2011).
- 41
Jang, D. C., Meza, L. R., Greer, F. & Greer, J. R. Fabrication and deformation of three-dimensional hollow ceramic nanostructures. Nat. Mater. 12, 893–898 (2013).
- 42
Meza, L. R., Das, S. & Greer, J. R. Strong, lightweight, and recoverable three-dimensional ceramic nanolattices. Science 345, 1322 (2014).
- 43
Zheng, X. Y. et al. Ultralight, ultrastiff mechanical metamaterials. Science 344, 1373–1377 (2014).
- 44
Zheng, X. et al. Multiscale metallic metamaterials. Nat. Mater. 15, 1100–1106 (2016). This paper describes improved methods for PμSL formation of metamaterials with hierarchical geometries and diverse feature sizes.
- 45
Babaee, S. et al. 3D soft metamaterials with negative poisson's ratio. Adv. Mater. 25, 5044–5049 (2013).
- 46
Coulais, C., Teomy, E., de Reus, K., Shokef, Y. & van Hecke, M. Combinatorial design of textured mechanical metamaterials. Nature 535, 529–532 (2016).
- 47
Florijn, B., Coulais, C. & van Hecke, M. Programmable mechanical metamaterials. Phys. Rev. Lett. 113, 175503 (2014).
- 48
Overvelde, J. T. B., Weaver, J. C., Hoberman, C. & Bertoldi, K. Rational design of reconfigurable prismatic architected materials. Nature 541, 347–352 (2017).
- 49
Wang, Q. et al. Lightweight mechanical metamaterials with tunable negative thermal expansion. Phys. Rev. Lett. 117, 175901 (2016).
- 50
Brunet, T. et al. Soft 3D acoustic metamaterial with negative index. Nat. Mater. 14, 384–388 (2015).
- 51
Brunet, T., Leng, J. & Mondain-Monval, O. Soft acoustic metamaterials. Science 342, 323–324 (2013).
- 52
Raffy, S., Mascaro, B., Brunet, T., Mondain-Monval, O. & Leng, J. A soft 3D acoustic metafluid with dual-band negative refractive index. Adv. Mater. 28, 1760–1764 (2016).
- 53
Tian, B. Z. et al. Macroporous nanowire nanoelectronic scaffolds for synthetic tissues. Nat. Mater. 11, 986–994 (2012).
- 54
Leong, T. G. et al. Tetherless thermobiochemically actuated microgrippers. Proc. Natl Acad. Sci. USA 106, 703–708 (2009). This paper demonstrates a folding-based method to create 3D microgrippers for biomedical applications.
- 55
Yu, M. R. et al. Semiconductor nanomembrane tubes: three-dimensional confinement for controlled neurite outgrowth. ACS Nano 5, 2447–2457 (2011).
- 56
Feiner, R. et al. Engineered hybrid cardiac patches with multifunctional electronics for online monitoring and regulation of tissue function. Nat. Mater. 15, 679–685 (2016).
- 57
Froeter, P. et al. Toward intelligent synthetic neural circuits: directing and accelerating neuron cell growth by self-rolled-up silicon nitride microtube array. ACS Nano 8, 11108–11117 (2014).
- 58
Bishop, D., Pardo, F., Bolle, C., Giles, R. & Aksyuk, V. Silicon micro-machines for fun and profit. J. Low Temp. Phys. 169, 386–399 (2012).
- 59
Wood, R. J. The challenge of manufacturing between macro and micro. Am. Sci. 102, 124–131 (2014).
- 60
Piyawattanametha, W., Patterson, P. R., Hah, D., Toshiyoshi, H. & Wu, M. C. Surface- and bulk-micromachined two-dimensional scanner driven by angular vertical comb actuators. J. Microelectromech. Syst. 14, 1329–1338 (2005).
- 61
Zhang, H. G., Yu, X. D. & Braun, P. V. Three-dimensional bicontinuous ultrafast-charge and -discharge bulk battery electrodes. Nat. Nanotechnol. 6, 277 (2011).
- 62
Pan, L. et al. Hierarchical nanostructured conducting polymer hydrogel with high electrochemical activity. Proc. Natl Acad. Sci. USA 109, 9287–9292 (2012).
- 63
Deng, J. W. et al. Naturally rolled-up C/Si/C trilayer nanomembranes as stable anodes for lithium-ion batteries with remarkable cycling performance. Angew. Chem. Int. Ed. 52, 2326–2330 (2013).
- 64
Wu, H. et al. Stable Li-ion battery anodes by in-situ polymerization of conducting hydrogel to conformally coat silicon nanoparticles. Nat. Commun. 4, 1943 (2013).
- 65
Pikul, J. H., Zhang, H. G., Cho, J., Braun, P. V. & King, W. P. High-power lithium ion microbatteries from interdigitated three-dimensional bicontinuous nanoporous electrodes. Nat. Commun. 4, 1732 (2013).
- 66
Sun, K. et al. 3D printing of interdigitated Li-ion microbattery architectures. Adv. Mater. 25, 4539–4543 (2013).
- 67
Fan, Z. et al. Three-dimensional nanopillar-array photovoltaics on low-cost and flexible substrates. Nat. Mater. 8, 648–653 (2009).
- 68
Lamoureux, A., Lee, K., Shlian, M., Forrest, S. R. & Shtein, M. Dynamic kirigami structures for integrated solar tracking. Nat. Commun. 6, 8092 (2015).
- 69
Rogers, J., Huang, Y. G., Schmidt, O. G. & Gracias, D. H. Origami MEMS and NEMS. MRS Bull. 41, 123–129 (2016).
- 70
Ahn, B. Y. et al. Omnidirectional printing of flexible, stretchable, and spanning silver microelectrodes. Science 323, 1590–1593 (2009). This paper introduces a method of nozzle-based 3D printing with conductive inks and presents some examples in free-standing electrical interconnects.
- 71
Huang, W. et al. On-chip inductors with self-rolled-up SiNx nanomembrane tubes: a novel design platform for extreme miniaturization. Nano Lett. 12, 6283–6288 (2012).
- 72
Huang, W., Koric, S., Yu, X., Hsia, K. J. & Li, X. L. Precision structural engineering of self-rolled-up 3D nanomembranes guided by transient quasi-static FEM modeling. Nano Lett. 14, 6293–6297 (2014).
- 73
Grimm, D. et al. Rolled-up nanomembranes as compact 3D architectures for field effect transistors and fluidic sensing applications. Nano Lett. 13, 213–218 (2013).
- 74
Xu, S. et al. Assembly of micro/nanomaterials into complex, three-dimensional architectures by compressive buckling. Science 347, 154–159 (2015). This paper introduces a mechanical assembly approach that allows formation of complex 3D mesostructures from 2D precursors by controlled buckling processes.
- 75
Yan, Z. et al. Mechanical assembly of complex, 3D mesostructures from releasable multilayers of advanced materials. Sci. Adv. 2, e1601014 (2016).
- 76
Yu, X. et al. Ultra-small, high-frequency, and substrate-immune microtube inductors transformed from 2D to 3D. Sci. Rep. 5, 9661 (2015).
- 77
Janusziewicz, R., Tumbleston, J. R., Quintanilla, A. L., Mecham, S. J. & DeSimone, J. M. Layerless fabrication with continuous liquid interface production. Proc. Natl Acad. Sci. USA 113, 11703–11708 (2016).
- 78
Tumbleston, J. R. et al. Continuous liquid interface production of 3D objects. Science 347, 1349–1352 (2015). This paper introduces continuous liquid interface production techniques for high speed, 3D printing of photopolymerizable resins.
- 79
Adams, J. J. et al. Conformal printing of electrically small antennas on three-dimensional surfaces. Adv. Mater. 23, 1335–1340 (2011).
- 80
Skylar-Scott, M. A., Gunasekaran, S. & Lewis, J. A. Laser-assisted direct ink writing of planar and 3D metal architectures. Proc. Natl Acad. Sci. USA 113, 6137–6142 (2016).
- 81
Dickey, M. D. et al. Eutectic gallium-indium (EGaIn): a liquid metal alloy for the formation of stable structures in microchannels at room temperature. Adv. Funct. Mater. 18, 1097–1104 (2008).
- 82
Ladd, C., So, J. H., Muth, J. & Dickey, M. D. 3D printing of free standing liquid metal microstructures. Adv. Mater. 25, 5081–5085 (2013).
- 83
Parekh, D. P., Ladd, C., Panich, L., Moussa, K. & Dickey, M. D. 3D printing of liquid metals as fugitive inks for fabrication of 3D microfluidic channels. Lab. Chip 16, 1812–1820 (2016).
- 84
Kong, Y. L. et al. 3D printed quantum dot light-emitting diodes. Nano Lett. 14, 7017–7023 (2014).
- 85
Murphy, S. V. & Atala, A. 3D bioprinting of tissues and organs. Nat. Biotechnol. 32, 773–785 (2014).
- 86
Konga, Y. L., Guptab, M. K., Johnsonc, B. N. & McAlpined, M. C. 3D printed bionic nanodevices. Nano Today 11, 330–350 (2016).
- 87
Shenoy, V. B. & Gracias, D. H. Self-folding thin-film materials: from nanopolyhedra to graphene origami. MRS Bull. 37, 847–854 (2012).
- 88
Leong, T. G., Zarafshar, A. M. & Gracias, D. H. Three-dimensional fabrication at small size scales. Small 6, 792–806 (2010).
- 89
Py, C. et al. Capillary origami: spontaneous wrapping of a droplet with an elastic sheet. Phys. Rev. Lett. 98, 156103 (2007).
- 90
Guo, X. Y. et al. Two- and three-dimensional folding of thin film single-crystalline silicon for photovoltaic power applications. Proc. Natl Acad. Sci. USA 106, 20149–20154 (2009).
- 91
Mei, Y. F., Solovev, A. A., Sanchez, S. & Schmidt, O. G. Rolled-up nanotech on polymers: from basic perception to self-propelled catalytic microengines. Chem. Soc. Rev. 40, 2109–2119 (2011).
- 92
Blees, M. K. et al. Graphene kirigami. Nature 524, 204–207 (2015).
- 93
Zhang, Y. H. et al. A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes. Proc. Natl Acad. Sci. USA 112, 11757–11764 (2015). This paper describes kirigami-inspired concepts for the mechanically guided assembly of 3D mesostructures from 2D membrane precursors.
- 94
Liu, Y. et al. Guided formation of 3D helical mesostructures by mechanical buckling: analytical modeling and experimental validation. Adv. Funct. Mater. 26, 2909–2918 (2016).
- 95
Yan, Z. et al. Controlled mechanical buckling for origami-inspired construction of 3D microstructures in advanced materials. Adv. Funct. Mater. 26, 2629–2639 (2016).
- 96
Shi, Y. et al. Plasticity-induced origami for assembly of three dimensional metallic structures guided by compressive buckling. Extreme Mech. Lett. 11, 105–110 (2017).
- 97
Nan, K. et al. Engineered elastomer substrates for guided assembly of complex 3D mesostructures by spatially nonuniform compressive buckling. Adv. Funct. Mater. 27, 1604281 (2017).
- 98
Lewis, J. A. & Gratson, G. M. Direct writing in three dimensions. Mater. Today 7, 32–39 (2004).
- 99
Cesarano, J., Segalman, R. & Calvert, P. Robocasting provides moldless fabrication from slurry deposition. Ceram. Ind. 148, 94–102 (1998).
- 100
Song, J. H., Edirisinghe, M. J. & Evans, J. R. G. Formulation and multilayer jet printing of ceramic inks. J. Am. Ceram. Soc. 82, 3374–3380 (1999).
- 101
Truby, R. L. & Lewis, J. A. Printing soft matter in three dimensions. Nature 540, 371–378 (2016).
- 102
Derby, B. Printing and prototyping of tissues and scaffolds. Science 338, 921–926 (2012).
- 103
Seerden, K. A. M. et al. Ink-jet printing of wax-based alumina suspensions. J. Am. Ceram. Soc. 84, 2514–2520 (2001).
- 104
Wilson, W. C. & Boland, T. Cell and organ printing 1: protein and cell printers. Anat. Rec. Part A 272A, 491–496 (2003).
- 105
Raney, J. R. & Lewis, J. A. Printing mesoscale architectures. MRS Bull. 40, 943–950 (2015).
- 106
Lewis, J. A. Direct-write assembly of ceramics from colloidal inks. Curr. Opin. Solid State Mater. Sci. 6, 245–250 (2002).
- 107
Smay, J. E., Gratson, G. M., Shepherd, R. F., Cesarano, J. & Lewis, J. A. Directed colloidal assembly of 3D periodic structures. Adv. Mater. 14, 1279–1283 (2002).
- 108
Li, Q. & Lewis, J. A. Nanoparticle inks for directed assembly of three-dimensional periodic structures. Adv. Mater. 15, 1639–1643 (2003).
- 109
Therriault, D., White, S. R. & Lewis, J. A. Chaotic mixing in three-dimensional microvascular networks fabricated by direct-write assembly. Nat. Mater. 2, 265–271 (2003).
- 110
Gratson, G. M., Xu, M. J. & Lewis, J. A. Microperiodic structures: direct writing of three-dimensional webs. Nature 428, 386 (2004).
- 111
Kolesky, D. B., Homan, K. A., Skylar-Scott, M. A. & Lewis, J. A. Three-dimensional bioprinting of thick vascularized tissues. Proc. Natl Acad. Sci. USA 113, 3179–3184 (2016).
- 112
Duan, B., Hockaday, L. A., Kang, K. H. & Butcher, J. T. 3D Bioprinting of heterogeneous aortic valve conduits with alginate/gelatin hydrogels. J. Biomed. Mater. Res. A 101, 1255–1264 (2013).
- 113
Duan, B., Kapetanovic, E., Hockaday, L. A. & Butcher, J. T. Three-dimensional printed trileaflet valve conduits using biological hydrogels and human valve interstitial cells. Acta Biomater. 10, 1836–1846 (2014).
- 114
Hockaday, L. A. et al. Rapid 3D printing of anatomically accurate and mechanically heterogeneous aortic valve hydrogel scaffolds. Biofabrication 4, 035005 (2012).
- 115
Cohen, D. L., Malone, E., Lipson, H. & Bonassar, L. J. Direct freeform fabrication of seeded hydrogels in arbitrary geometries. Tissue Eng. 12, 1325–1335 (2006).
- 116
Cui, X. F., Breitenkamp, K., Finn, M. G., Lotz, M. & D'Lima, D. D. Direct human cartilage repair using three-dimensional bioprinting technology. Tissue Eng. Part A 18, 1304–1312 (2012). This paper presents results on inkjet 3D printing of biological materials for direct human cartilage repair.
- 117
Mannoor, M. S. et al. 3D printed bionic ears. Nano Lett. 13, 2634–2639 (2013).
- 118
De Coppi, P. et al. Isolation of amniotic stem cell lines with potential for therapy. Nat. Biotechnol. 25, 100–106 (2007).
- 119
Jakus, A. E. et al. Hyperelastic “bone”: a highly versatile, growth factor–free, osteoregenerative, scalable, and surgically friendly biomaterial. Sci. Transl. Med. 8, 358ra127 (2016). This paper describes classes of synthetic osteoregenerative biomaterials for 3D bioprinting of versatile, hyperelastic ‘bone’ constructs.
- 120
Rutz, A. L., Hyland, K. E., Jakus, A. E., Burghardt, W. R. & Shah, R. N. A multimaterial bioink method for 3D printing tunable, cell-compatible hydrogels. Adv. Mater. 27, 1607–1614 (2015).
- 121
Kolesky, D. B. et al. 3D bioprinting of vascularized, heterogeneous cell-laden tissue constructs. Adv. Mater. 26, 3124–3130 (2014). This paper demonstrates multimaterial 3D printing of vascularized tissue structures with disparate chemical and mechanical properties.
- 122
Johnson, B. N. et al. 3D printed nervous system on a chip. Lab. Chip 16, 1393–1400 (2016).
- 123
Skardal, A. et al. Bioprinted amniotic fluid-derived stem cells accelerate healing of large skin wounds. Stem Cells Transl. Med. 1, 792–802 (2012).
- 124
Johnson, B. N. et al. 3D printed anatomical nerve regeneration pathways. Adv. Funct. Mater. 25, 6205–6217 (2015).
- 125
Xu, T. et al. Hybrid printing of mechanically and biologically improved constructs for cartilage tissue engineering applications. Biofabrication 5, 015001 (2013).
- 126
Maruo, S., Nakamura, O. & Kawata, S. Three-dimensional microfabrication with two-photon-absorbed photopolymerization. Opt. Lett. 22, 132–134 (1997).
- 127
Maruo, S. & Kawata, S. Two-photon-absorbed near-infrared photopolymerization for three-dimensional microfabrication. J. Microelectromech. Syst. 7, 411–415 (1998).
- 128
Sun, H. B. et al. Real three-dimensional microstructures fabricated by photopolymerization of resins through two-photon absorption. Opt. Lett. 25, 1110–1112 (2000).
- 129
Zhang, X., Jiang, X. N. & Sun, C. Micro-stereolithography of polymeric and ceramic microstructures. Sens. Actuators A 77, 149–156 (1999).
- 130
Hull, C. et al. Rapid prototyping: current technology and future potential. Rapid Prototyp. J. 1, 11–19 (1995).
- 131
Sun, C., Fang, N., Wu, D. M. & Zhang, X. Projection micro-stereolithography using digital micro-mirror dynamic mask. Sens. Actuators A 121, 113–120 (2005). This paper describes methods for PμSL as routes to high-speed printing of complex 3D microstructures.
- 132
Kumar, S. Selective laser sintering: a qualitative and objective approach. JOM 55, 43–47 (2003).
- 133
Zheng, X. Y. et al. Design and optimization of a light-emitting diode projection micro-stereolithography three-dimensional manufacturing system. Rev. Sci. Instrum. 83, 125001 (2012).
- 134
Johnson, A. R. et al. Single-step fabrication of computationally designed microneedles by continuous liquid interface production. PLoS ONE 11, e0162518 (2016).
- 135
Maruo, S. & Fourkas, J. T. Recent progress in multiphoton microfabrication. Laser Photonics Rev. 2, 100–111 (2008).
- 136
Liu, Y. M. & Zhang, X. Metamaterials: a new frontier of science and technology. Chem. Soc. Rev. 40, 2494–2507 (2011).
- 137
Soukoulis, C. M. & Wegener, M. Past achievements and future challenges in the development of three-dimensional photonic metamaterials. Nat. Photonics 5, 523–530 (2011).
- 138
Zheludev, N. I. & Kivshar, Y. S. From metamaterials to metadevices. Nat. Mater. 11, 917–924 (2012).
- 139
Galajda, P. & Ormos, P. Complex micromachines produced and driven by light. Appl. Phys. Lett. 78, 249–251 (2001).
- 140
Galajda, P. & Ormos, P. Rotors produced and driven in laser tweezers with reversed direction of rotation. Appl. Phys. Lett. 80, 4653–4655 (2002).
- 141
Maruo, S., Ikuta, K. & Korogi, H. Submicron manipulation tools driven by light in a liquid. Appl. Phys. Lett. 82, 133–135 (2003).
- 142
Maruo, S. & Inoue, H. Optically driven micropump produced by three-dimensional two-photon microfabrication. Appl. Phys. Lett. 89, 144101 (2006).
- 143
Wu, P. W. et al. Two-photon photographic production of three-dimensional metallic structures within a dielectric matrix. Adv. Mater. 12, 1438–1441 (2000).
- 144
Stellacci, F. et al. Laser and electron-beam induced growth of nanoparticles for 2D and 3D metal patterning. Adv. Mater. 14, 194–198 (2002).
- 145
Baldacchini, T. et al. Multiphoton laser direct writing of two-dimensional silver structures. Opt. Express 13, 1275–1280 (2005).
- 146
Tanaka, T., Ishikawa, A. & Kawata, S. Two-photon-induced reduction of metal ions for fabricating three-dimensional electrically conductive metallic microstructure. Appl. Phys. Lett. 88, 081107 (2006).
- 147
Meza, L. R. et al. Resilient 3D hierarchical architected metamaterials. Proc. Natl Acad. Sci. USA 112, 11502–11507 (2015).
- 148
Montemayor, L., Chernow, V. & Greer, J. R. Materials by design: using architecture in material design to reach new property spaces. MRS Bull. 40, 1122–1129 (2015).
- 149
Xu, C., Gallant, B. M., Wunderlich, P. U., Lohmann, T. & Greer, J. R. Three-dimensional Au microlattices as positive electrodes for Li–O2 batteries. ACS Nano 9, 5876–5883 (2015).
- 150
Bauer, J., Hengsbach, S., Tesari, I., Schwaiger, R. & Kraft, O. High-strength cellular ceramic composites with 3D microarchitecture. Proc. Natl Acad. Sci. USA 111, 2453–2458 (2014).
- 151
Meza, L. R. & Greer, J. R. Mechanical characterization of hollow ceramic nanolattices. J. Mater. Sci. 49, 2496–2508 (2014).
- 152
Montemayor, L. C. & Greer, J. R. Mechanical response of hollow metallic nanolattices: combining structural and material size effects. J. Appl. Mech. 82, 071012 (2015).
- 153
Gladman, A. S., Matsumoto, E. A., Nuzzo, R. G., Mahadevan, L. & Lewis, J. A. Biomimetic 4D printing. Nat. Mater. 15, 413–418 (2016). This paper describes a biomimetic hydrogel composite for programmable 4D printing.
- 154
Tibbits, S. 4D printing: multi-material shape change. Archit. Design 84, 116–121 (2014).
- 155
Raviv, D. et al. Active printed materials for complex self-evolving deformations. Sci. Rep. 4, 7422 (2014).
- 156
Ge, Q., Qi, H. J. & Dunn, M. L. Active materials by four-dimension printing. Appl. Phys. Lett. 103, 131901 (2013). This paper describes 4D printing by use of SMP materials.
- 157
Ge, Q., Dunn, C. K., Qi, H. J. & Dunn, M. L. Active origami by 4D printing. Smart Mater. Struct. 23, 094007 (2014).
- 158
Wu, J. T. et al. Multi-shape active composites by 3D printing of digital shape memory polymers. Sci. Rep. 6, 24224 (2016).
- 159
Liu, Y., Genzer, J. & Dickey, M. D. “2D or not 2D”: shape-programming polymer sheets. Prog. Polym. Sci. 52, 79–106 (2016).
- 160
Kang, S. H. & Dickey, M. D. Patterning via self-organization and self-folding: beyond conventional lithography. MRS Bull. 41, 93–96 (2016).
- 161
Huang, G. S. & Mei, Y. F. Thinning and shaping solid films into functional and integrative nanomembranes. Adv. Mater. 24, 2517–2546 (2012).
- 162
Chen, Z., Huang, G. S., Trase, I., Han, X. M. & Mei, Y. F. Mechanical self-assembly of a strain-engineered flexible layer: wrinkling, rolling, and twisting. Phys. Rev. Appl. 5, 017001 (2016).
- 163
Syms, R. R. A. & Yeatman, E. M. Self-assembly of three-dimensional microstructures using rotation by surface tension forces. Electron. Lett. 29, 662–664 (1993).
- 164
Syms, R. R. A. Equilibrium of hinged and hingeless structures rotated using surface tension forces. J. Microelectromech. Syst. 4, 177–184 (1995).
- 165
Syms, R. R. A., Yeatman, E. M., Bright, V. M. & Whitesides, G. M. Surface tension-powered self-assembly of microstructures — the state-of-the-art. J. Microelectromech. Syst. 12, 387–417 (2003).
- 166
Gracias, D. H., Kavthekar, V., Love, J. C., Paul, K. E. & Whitesides, G. M. Fabrication of micrometer-scale, patterned polyhedra by self-assembly. Adv. Mater. 14, 235–238 (2002).
- 167
Cho, J.-H. et al. Nanoscale origami for 3D optics. Small 7, 1943–1948 (2011).
- 168
Pandey, S. et al. Algorithmic design of self-folding polyhedra. Proc. Natl Acad. Sci. USA 108, 19885–19890 (2011).
- 169
Prinz, V. Y. et al. Free-standing and overgrown InGaAs/GaAs nanotubes, nanohelices and their arrays. Phys. E 6, 828–831 (2000).
- 170
Schmidt, O. G. & Eberl, K. Nanotechnology: thin solid films roll up into nanotubes. Nature 410, 168 (2001). This paper describes approaches in stress-controlled rolling to form cylindrical 3D nanostructures.
- 171
Li, X. Strain induced semiconductor nanotubes: from formation process to device applications. J. Phys. D Appl. Phys. 41, 193001 (2008).
- 172
Li, X. Self-rolled-up microtube ring resonators: a review of geometrical and resonant properties. Adv. Opt. Photonics 3, 366–387 (2011).
- 173
Prinz, V. Y., Seleznev, V., Samoylov, V. & Gutakovsky, A. Nanoscale engineering using controllable formation of ultra-thin cracks in heterostructures. Microelectron. Eng. 30, 439–442 (1996).
- 174
Bassik, N., Stern, G. M., Jamal, M. & Gracias, D. H. Patterning thin film mechanical properties to drive assembly of complex 3D structures. Adv. Mater. 20, 4760–4764 (2008).
- 175
Karnaushenko, D. D., Karnaushenko, D., Makarov, D. & Schmidt, O. G. Compact helical antenna for smart implant applications. NPG Asia Mater. 7, e188 (2015).
- 176
Mei, Y. et al. Versatile approach for integrative and functionalized tubes by strain engineering of nanomembranes on polymers. Adv. Mater. 20, 4085–4090 (2008).
- 177
Bassik, N., Stern, G. M. & Gracias, D. H. Microassembly based on hands free origami with bidirectional curvature. Appl. Phys. Lett. 95, 091901 (2009).
- 178
Malachowski, K. et al. Self-folding single cell grippers. Nano Lett. 14, 4164–4170 (2014).
- 179
Solovev, A. A., Mei, Y., Urena, E. B., Huang, G. & Schmidt, O. G. Catalytic microtubular jet engines self-propelled by accumulated gas bubbles. Small 5, 1688–1692 (2009).
- 180
Wang, H. et al. Self-rolling and light-trapping in flexible quantum well-embedded nanomembranes for wide-angle infrared photodetectors. Sci. Adv. 2, e1600027 (2016).
- 181
Klein, Y., Efrati, E. & Sharon, E. Shaping of elastic sheets by prescription of non-Euclidean metrics. Science 315, 1116–1120 (2007).
- 182
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). This paper describes a method of halftone gel lithography to create spatially varying 2D patterns of swelling in gel sheets for transformation into desired 3D shapes.
- 183
Na, J.-H. et al. Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers. Adv. Mater. 27, 79–85 (2015).
- 184
Na, J.-H., Bende, N. P., Bae, J., Santangelo, C. D. & Hayward, R. C. Grayscale gel lithography for programmed buckling of non-Euclidean hydrogel plates. Soft Matter 12, 4985–4990 (2016).
- 185
Palleau, E., Morales, D., Dickey, M. D. & Velev, O. D. Reversible patterning and actuation of hydrogels by electrically assisted ionoprinting. Nat. Commun. 4, 2257 (2013).
- 186
Wu, Z. L. et al. Three-dimensional shape transformations of hydrogel sheets induced by small-scale modulation of internal stresses. Nat. Commun. 4, 1586 (2013).
- 187
Hawkes, E. et al. Programmable matter by folding. Proc. Natl Acad. Sci. USA 107, 12441–12445 (2010).
- 188
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).
- 189
Felton, S., Tolley, M., Demaine, E., Rus, D. & Wood, R. A method for building self-folding machines. Science 345, 644–646 (2014).
- 190
Ware, T. H., McConney, M. E., Wie, J. J., Tondiglia, V. P. & White, T. J. Voxelated liquid crystal elastomers. Science 347, 982–984 (2015).
- 191
White, T. J. & Broer, D. J. Programmable and adaptive mechanics with liquid crystal polymer networks and elastomers. Nat. Mater. 14, 1087–1098 (2015).
- 192
Jamal, M., Zarafshar, A. M. & Gracias, D. H. Differentially photo-crosslinked polymers enable self-assembling microfluidics. Nat. Commun. 2, 527 (2011).
- 193
Ryu, J. et al. Photo-origami—bending and folding polymers with light. Appl. Phys. Lett. 100, 161908 (2012).
- 194
Yu, X., Arbabi, E., Goddard, L. L., Li, X. & Chen, X. Monolithically integrated self-rolled-up microtube-based vertical coupler for three-dimensional photonic integration. Appl. Phys. Lett. 107, 031102 (2015).
- 195
Annett, J. & Cross, G. L. Self-assembly of graphene ribbons by spontaneous self-tearing and peeling from a substrate. Nature 535, 271–275 (2016).
- 196
Zhu, S. & Li, T. Hydrogenation enabled scrolling of graphene. J. Phys. D Appl. Phys. 46, 075301 (2013).
- 197
Zhu, S. & Li, T. Hydrogenation-assisted graphene origami and its application in programmable molecular mass uptake, storage, and release. ACS Nano 8, 2864–2872 (2014).
- 198
Qi, Z. N., Campbell, D. K. & Park, H. S. Atomistic simulations of tension-induced large deformation and stretchability in graphene kirigami. Phys. Rev. B 90, 245437 (2014).
- 199
Grosso, B. F. & Mele, E. J. Bending rules in graphene kirigami. Phys. Rev. Lett. 115, 195501 (2015).
- 200
Bahamon, D. A., Qi, Z. N., Park, H. S., Pereira, V. M. & Campbell, D. K. Graphene kirigami as a platform for stretchable and tunable quantum dot arrays. Phys. Rev. B 93, 235408 (2016).
- 201
Patra, N., Wang, B. & Král, P. Nanodroplet activated and guided folding of graphene nanostructures. Nano Lett. 9, 3766–3771 (2009).
- 202
Yan, Z. et al. Deterministic assembly of 3D mesostructures in advanced materials via compressive buckling: a short review of recent progress. Extreme Mech. Lett. 11, 96–104 (2017).
- 203
Castle, T. et al. Making the cut: lattice kirigami rules. Phys. Rev. Lett. 113, 245502 (2014).
- 204
Sussman, D. M. et al. Algorithmic lattice kirigami: a route to pluripotent materials. Proc. Natl Acad. Sci. USA 112, 7449–7453 (2015).
- 205
Dudte, L. H., Vouga, E., Tachi, T. & Mahadevan, L. Programming curvature using origami tessellations. Nat. Mater. 15, 583–588 (2016).
Acknowledgements
J.A.R. and X.L. acknowledge support from the US Department of Energy, Office of Science, Basic Energy Sciences (DE FG02 07ER46471). Y.Z. acknowledges support from the National Natural Science Foundation of China (11672152) and Thousand Young Talents Program of China. Y.H. acknowledges support from the National Science Foundation (CMMI1534120 and CMMI1400169) and the National Institutes of Health (R01EB019337).
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Zhang, Y., Zhang, F., Yan, Z. et al. Printing, folding and assembly methods for forming 3D mesostructures in advanced materials. Nat Rev Mater 2, 17019 (2017). https://doi.org/10.1038/natrevmats.2017.19
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