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Title: A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes

Abstract

Assembly of 3D micro/nanostructures in advanced functional materials has important implications across broad areas of technology. Existing approaches are compatible, however, only with narrow classes of materials and/or 3D geometries. This article introduces ideas for a form of Kirigami that allows precise, mechanically driven assembly of 3D mesostructures of diverse materials from 2D micro/nanomembranes with strategically designed geometries and patterns of cuts. Theoretical and experimental studies demonstrate applicability of the methods across length scales from macro to nano, in materials ranging from monocrystalline silicon to plastic, with levels of topographical complexity that significantly exceed those that can be achieved using other approaches. A broad set of examples includes 3D silicon mesostructures and hybrid nanomembrane-nanoribbon systems, including heterogeneous combinations with polymers and metals, with critical dimensions that range from 100 nm to 30 mm. Lastly, a 3D mechanically tunable optical transmission window provides an application example of this Kirigami process, enabled by theoretically guided design.

Authors:
 [1];  [2];  [2];  [2];  [2];  [3];  [4];  [2];  [2];  [2];  [2];  [2];  [1];  [2];  [2];  [2];  [2];  [5];  [4];  [3] more »;  [2] « less
  1. Tsinghua Univ., Beijing (People's Republic of China)
  2. Univ. of Illinois at Urbana-Champaign, Urbana, IL (United States)
  3. Northwestern Univ., Evanston, IL (United States)
  4. Northwestern Univ., Evanston, IL (United States); Zhejiang Univ., Hangzhou (People's Republic of China)
  5. Northwestern Univ., Evanston, IL (United States); Tongji Univ., Shanghai (People's Republic of China)
Publication Date:
Research Org.:
Univ. of Illinois, Urbana-Champaign, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1348412
Grant/Contract Number:  
FG02-07ER46471; CMMI-1400169
Resource Type:
Accepted Manuscript
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 112; Journal Issue: 38; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Kirigami; buckling; membranes; three-dimensional assembly

Citation Formats

Zhang, Yihui, Yan, Zheng, Nan, Kewang, Xiao, Dongqing, Liu, Yuhao, Luan, Haiwen, Fu, Haoran, Wang, Xizhu, Yang, Qinglin, Wang, Jiechen, Ren, Wen, Si, Hongzhi, Liu, Fei, Yang, Lihen, Li, Hejun, Wang, Juntong, Guo, Xuelin, Luo, Hongying, Wang, Liang, Huang, Yonggang, and Rogers, John A. A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes. United States: N. p., 2015. Web. doi:10.1073/pnas.1515602112.
Zhang, Yihui, Yan, Zheng, Nan, Kewang, Xiao, Dongqing, Liu, Yuhao, Luan, Haiwen, Fu, Haoran, Wang, Xizhu, Yang, Qinglin, Wang, Jiechen, Ren, Wen, Si, Hongzhi, Liu, Fei, Yang, Lihen, Li, Hejun, Wang, Juntong, Guo, Xuelin, Luo, Hongying, Wang, Liang, Huang, Yonggang, & Rogers, John A. A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes. United States. doi:10.1073/pnas.1515602112.
Zhang, Yihui, Yan, Zheng, Nan, Kewang, Xiao, Dongqing, Liu, Yuhao, Luan, Haiwen, Fu, Haoran, Wang, Xizhu, Yang, Qinglin, Wang, Jiechen, Ren, Wen, Si, Hongzhi, Liu, Fei, Yang, Lihen, Li, Hejun, Wang, Juntong, Guo, Xuelin, Luo, Hongying, Wang, Liang, Huang, Yonggang, and Rogers, John A. Tue . "A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes". United States. doi:10.1073/pnas.1515602112. https://www.osti.gov/servlets/purl/1348412.
@article{osti_1348412,
title = {A mechanically driven form of Kirigami as a route to 3D mesostructures in micro/nanomembranes},
author = {Zhang, Yihui and Yan, Zheng and Nan, Kewang and Xiao, Dongqing and Liu, Yuhao and Luan, Haiwen and Fu, Haoran and Wang, Xizhu and Yang, Qinglin and Wang, Jiechen and Ren, Wen and Si, Hongzhi and Liu, Fei and Yang, Lihen and Li, Hejun and Wang, Juntong and Guo, Xuelin and Luo, Hongying and Wang, Liang and Huang, Yonggang and Rogers, John A.},
abstractNote = {Assembly of 3D micro/nanostructures in advanced functional materials has important implications across broad areas of technology. Existing approaches are compatible, however, only with narrow classes of materials and/or 3D geometries. This article introduces ideas for a form of Kirigami that allows precise, mechanically driven assembly of 3D mesostructures of diverse materials from 2D micro/nanomembranes with strategically designed geometries and patterns of cuts. Theoretical and experimental studies demonstrate applicability of the methods across length scales from macro to nano, in materials ranging from monocrystalline silicon to plastic, with levels of topographical complexity that significantly exceed those that can be achieved using other approaches. A broad set of examples includes 3D silicon mesostructures and hybrid nanomembrane-nanoribbon systems, including heterogeneous combinations with polymers and metals, with critical dimensions that range from 100 nm to 30 mm. Lastly, a 3D mechanically tunable optical transmission window provides an application example of this Kirigami process, enabled by theoretically guided design.},
doi = {10.1073/pnas.1515602112},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 38,
volume = 112,
place = {United States},
year = {2015},
month = {9}
}

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Works referenced in this record:

Self-folding thin-film materials: From nanopolyhedra to graphene origami
journal, September 2012


Colloidal Assembly: The Road from Particles to Colloidal Molecules and Crystals
journal, October 2010

  • Li, Fan; Josephson, David P.; Stein, Andreas
  • Angewandte Chemie International Edition, Vol. 50, Issue 2
  • DOI: 10.1002/anie.201001451

Predictive Self-Assembly of Polyhedra into Complex Structures
journal, July 2012


Fluidic assembly at the microscale: progress and prospects
journal, October 2012

  • Crane, Nathan B.; Onen, Onursal; Carballo, Jose
  • Microfluidics and Nanofluidics, Vol. 14, Issue 3-4
  • DOI: 10.1007/s10404-012-1060-1

3D Micro- and Nanostructures via Interference Lithography
journal, October 2007

  • Jang, J. -H.; Ullal, C. K.; Maldovan, M.
  • Advanced Functional Materials, Vol. 17, Issue 16
  • DOI: 10.1002/adfm.200700140

Three-dimensional optical laser lithography beyond the diffraction limit: 3D optical lithography off limits
journal, March 2012


Multidimensional Architectures for Functional Optical Devices
journal, February 2010

  • Arpin, Kevin A.; Mihi, Agustin; Johnson, Harley T.
  • Advanced Materials, Vol. 22, Issue 10
  • DOI: 10.1002/adma.200904096

Rationally Designed Complex, Hierarchical Microarchitectures
journal, May 2013


Conversion of Zinc Oxide Nanobelts into Superlattice-Structured Nanohelices
journal, September 2005


Nanomechanical architecture of semiconductor nanomembranes
journal, January 2011

  • Huang, Minghuang; Cavallo, Francesca; Liu, Feng
  • Nanoscale, Vol. 3, Issue 1
  • DOI: 10.1039/c0nr00648c

Macroporous nanowire nanoelectronic scaffolds for synthetic tissues
journal, August 2012

  • Tian, Bozhi; Liu, Jia; Dvir, Tal
  • Nature Materials, Vol. 11, Issue 11, p. 986-994
  • DOI: 10.1038/nmat3404

Tetherless thermobiochemically actuated microgrippers
journal, January 2009

  • Leong, T. G.; Randall, C. L.; Benson, B. R.
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 3, p. 703-708
  • DOI: 10.1073/pnas.0807698106

Semiconductor Nanomembrane Tubes: Three-Dimensional Confinement for Controlled Neurite Outgrowth
journal, March 2011

  • Yu, Minrui; Huang, Yu; Ballweg, Jason
  • ACS Nano, Vol. 5, Issue 4
  • DOI: 10.1021/nn103618d

Three-dimensional bicontinuous ultrafast-charge and -discharge bulk battery electrodes
journal, March 2011

  • Zhang, Huigang; Yu, Xindi; Braun, Paul V.
  • Nature Nanotechnology, Vol. 6, Issue 5, p. 277-281
  • DOI: 10.1038/nnano.2011.38

High-power lithium ion microbatteries from interdigitated three-dimensional bicontinuous nanoporous electrodes
journal, April 2013

  • Pikul, James H.; Gang Zhang, Hui; Cho, Jiung
  • Nature Communications, Vol. 4, Article No. 1732
  • DOI: 10.1038/ncomms2747

3D Printing of Interdigitated Li-Ion Microbattery Architectures
journal, June 2013

  • Sun, Ke; Wei, Teng-Sing; Ahn, Bok Yeop
  • Advanced Materials, Vol. 25, Issue 33, p. 4539-4543
  • DOI: 10.1002/adma.201301036

Naturally Rolled-Up C/Si/C Trilayer Nanomembranes as Stable Anodes for Lithium-Ion Batteries with Remarkable Cycling Performance
journal, January 2013

  • Deng, Junwen; Ji, Hengxing; Yan, Chenglin
  • Angewandte Chemie International Edition, Vol. 52, Issue 8
  • DOI: 10.1002/anie.201208357

Hierarchical nanostructured conducting polymer hydrogel with high electrochemical activity
journal, May 2012

  • Pan, L.; Yu, G.; Zhai, D.
  • Proceedings of the National Academy of Sciences, Vol. 109, Issue 24
  • DOI: 10.1073/pnas.1202636109

Stable Li-ion battery anodes by in-situ polymerization of conducting hydrogel to conformally coat silicon nanoparticles
journal, June 2013

  • Wu, Hui; Yu, Guihua; Pan, Lijia
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2941

SiOx∕Si radial superlattices and microtube optical ring resonators
journal, February 2007

  • Songmuang, R.; Rastelli, A.; Mendach, S.
  • Applied Physics Letters, Vol. 90, Issue 9
  • DOI: 10.1063/1.2472546

25th Anniversary Article: Ordered Polymer Structures for the Engineering of Photons and Phonons
journal, December 2013

  • Lee, Jae-Hwang; Koh, Cheong Yang; Singer, Jonathan P.
  • Advanced Materials, Vol. 26, Issue 4
  • DOI: 10.1002/adma.201303456

Materials Chemistry in 3D Templates for Functional Photonics
journal, September 2013


Hybrid 2D–3D optical devices for integrated optics by direct laser writing
journal, June 2014

  • Schumann, Martin; Bückmann, Tiemo; Gruhler, Nico
  • Light: Science & Applications, Vol. 3, Issue 6
  • DOI: 10.1038/lsa.2014.56

Three-dimensional nanopillar-array photovoltaics on low-cost and flexible substrates
journal, July 2009

  • Fan, Zhiyong; Razavi, Haleh; Do, Jae-won
  • Nature Materials, Vol. 8, Issue 8, p. 648-653
  • DOI: 10.1038/nmat2493

Silicon Micro-Machines for Fun and Profit
journal, July 2012

  • Bishop, David; Pardo, Flavio; Bolle, Cris
  • Journal of Low Temperature Physics, Vol. 169, Issue 5-6
  • DOI: 10.1007/s10909-012-0654-z

The Challenge of Manufacturing Between Macro and Micro
journal, January 2014


Surface- and bulk- micromachined two-dimensional scanner driven by angular vertical comb actuators
journal, December 2005

  • Piyawattanametha, W.; Patterson, P. R.; Hah, D.
  • Journal of Microelectromechanical Systems, Vol. 14, Issue 6
  • DOI: 10.1109/JMEMS.2005.859073

Ultralight, ultrastiff mechanical metamaterials
journal, June 2014


Ultralight Metallic Microlattices
journal, November 2011


Past achievements and future challenges in the development of three-dimensional photonic metamaterials
journal, July 2011


Three-dimensional optical metamaterial with a negative refractive index
journal, August 2008

  • Valentine, Jason; Zhang, Shuang; Zentgraf, Thomas
  • Nature, Vol. 455, Issue 7211
  • DOI: 10.1038/nature07247

Nanoscale Origami for 3D Optics
journal, June 2011


Omnidirectional Printing of Flexible, Stretchable, and Spanning Silver Microelectrodes
journal, March 2009


On-Chip Inductors with Self-Rolled-Up SiN x Nanomembrane Tubes: A Novel Design Platform for Extreme Miniaturization
journal, February 2012

  • Huang, Wen; Yu, Xin; Froeter, Paul
  • Nano Letters, Vol. 12, Issue 12
  • DOI: 10.1021/nl303395d

Rolled-up nanomembranes as compact 3D architectures for field effect transistors and fluidic sensing applications
journal, December 2012

  • Grimm, Daniel; Bof Bufon, Carlos Cesar; Deneke, Christoph
  • Nano Letters, Vol. 13, Issue 1
  • DOI: 10.1021/nl303887b

Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics
journal, February 2007


Designing Responsive Buckled Surfaces by Halftone Gel Lithography
journal, March 2012


Programmable matter by folding
journal, June 2010

  • Hawkes, E.; An, B.; Benbernou, N. M.
  • Proceedings of the National Academy of Sciences, Vol. 107, Issue 28
  • DOI: 10.1073/pnas.0914069107

Voxelated liquid crystal elastomers
journal, February 2015


Three-Dimensional Fabrication at Small Size Scales
journal, April 2010

  • Leong, Timothy G.; Zarafshar, Aasiyeh M.; Gracias, David H.
  • Small, Vol. 6, Issue 7
  • DOI: 10.1002/smll.200901704

A new technique for fabricating three-dimensional micro- and nanostructures of various shapes
journal, November 2001


Nanotechnology: Thin solid films roll up into nanotubes
journal, March 2001

  • Schmidt, Oliver G.; Eberl, Karl
  • Nature, Vol. 410, Issue 6825, Article No. 168
  • DOI: 10.1038/35065525

Optically- and Thermally-Responsive Programmable Materials Based on Carbon Nanotube-Hydrogel Polymer Composites
journal, August 2011

  • Zhang, Xiaobo; Pint, Cary L.; Lee, Min Hyung
  • Nano Letters, Vol. 11, Issue 8
  • DOI: 10.1021/nl201503e

Capillary Origami: Spontaneous Wrapping of a Droplet with an Elastic Sheet
journal, April 2007


Controlled buckling of semiconductor nanoribbons for stretchable electronics
journal, December 2006

  • Sun, Yugang; Choi, Won Mook; Jiang, Hanqing
  • Nature Nanotechnology, Vol. 1, Issue 3, p. 201-207
  • DOI: 10.1038/nnano.2006.131

Assembly of micro/nanomaterials into complex, three-dimensional architectures by compressive buckling
journal, January 2015


Making the Cut: Lattice Kirigami Rules
journal, December 2014


Algorithmic lattice kirigami: A route to pluripotent materials
journal, May 2015

  • Sussman, Daniel M.; Cho, Yigil; Castle, Toen
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 24
  • DOI: 10.1073/pnas.1506048112

A kirigami approach to engineering elasticity in nanocomposites through patterned defects
journal, June 2015

  • Shyu, Terry C.; Damasceno, Pablo F.; Dodd, Paul M.
  • Nature Materials, Vol. 14, Issue 8
  • DOI: 10.1038/nmat4327

Theory of Elastic Stability, Second Edition
journal, March 1962

  • Timoshenko, S. P.; Gere, J. M.; Prager, W.
  • Journal of Applied Mechanics, Vol. 29, Issue 1
  • DOI: 10.1115/1.3636481

Engineering the shape and structure of materials by fractal cut
journal, November 2014

  • Cho, Yigil; Shin, Joong-Ho; Costa, Avelino
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 49
  • DOI: 10.1073/pnas.1417276111

Fractal Nanoparticle Plasmonics: The Cayley Tree
journal, February 2015


Multiphoton Fabrication
journal, July 2007

  • LaFratta, Christopher N.; Fourkas, John T.; Baldacchini, Tommaso
  • Angewandte Chemie International Edition, Vol. 46, Issue 33
  • DOI: 10.1002/anie.200603995

Direct Ink Writing of 3D Functional Materials
journal, November 2006


Continuous liquid interface production of 3D objects
journal, March 2015


    Works referencing / citing this record:

    Terahertz circular dichroism spectroscopy of biomaterials enabled by kirigami polarization modulators
    journal, July 2019


    Micro/Nanoscale 3D Assembly by Rolling, Folding, Curving, and Buckling Approaches
    journal, June 2019


    Buckling and twisting of advanced materials into morphable 3D mesostructures
    journal, June 2019

    • Zhao, Hangbo; Li, Kan; Han, Mengdi
    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 27
    • DOI: 10.1073/pnas.1901193116

    Postbuckling analyses of frame mesostructures consisting of straight ribbons for mechanically guided three-dimensional assembly
    journal, May 2019

    • Liu, Yuan; Xu, Zheng; Hwang, Keh-Chi
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2225
    • DOI: 10.1098/rspa.2019.0012

    Viscoelastic Characteristics of Mechanically Assembled Three-Dimensional Structures Formed by Compressive Buckling
    journal, August 2018

    • Li, Haibo; Wang, Xi; Zhu, Feng
    • Journal of Applied Mechanics, Vol. 85, Issue 12
    • DOI: 10.1115/1.4041163

    Graphene Hybrid Structures for Integrated and Flexible Optoelectronics
    journal, July 2019


    Printing Flexible and Hybrid Electronics for Human Skin and Eye‐Interfaced Health Monitoring Systems
    journal, July 2019


    Buffering by buckling as a route for elastic deformation
    journal, May 2019


    Forming three-dimensional closed shapes from two-dimensional soft ribbons by controlled buckling
    journal, February 2018

    • Aoki, Michio; Juang, Jia-Yang
    • Royal Society Open Science, Vol. 5, Issue 2
    • DOI: 10.1098/rsos.171962

    Micro/Nanoscale 3D Assembly by Rolling, Folding, Curving, and Buckling Approaches
    journal, June 2019


    Graphene Hybrid Structures for Integrated and Flexible Optoelectronics
    journal, July 2019


    Printing Flexible and Hybrid Electronics for Human Skin and Eye‐Interfaced Health Monitoring Systems
    journal, July 2019


    Terahertz circular dichroism spectroscopy of biomaterials enabled by kirigami polarization modulators
    journal, July 2019


    Multi-step self-guided pathways for shape-changing metamaterials
    journal, September 2018


    Buffering by buckling as a route for elastic deformation
    journal, May 2019


    Growth and nanomechanical characterization of nanoscale 3D architectures grown via focused electron beam induced deposition
    journal, January 2017

    • Lewis, Brett B.; Mound, Brittnee A.; Srijanto, Bernadeta
    • Nanoscale, Vol. 9, Issue 42
    • DOI: 10.1039/c7nr05274j

    Propagation of pop ups in kirigami shells
    journal, April 2019

    • Rafsanjani, Ahmad; Jin, Lishuai; Deng, Bolei
    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 17
    • DOI: 10.1073/pnas.1817763116

    Buckling and twisting of advanced materials into morphable 3D mesostructures
    journal, June 2019

    • Zhao, Hangbo; Li, Kan; Han, Mengdi
    • Proceedings of the National Academy of Sciences, Vol. 116, Issue 27
    • DOI: 10.1073/pnas.1901193116

    Forming three-dimensional closed shapes from two-dimensional soft ribbons by controlled buckling
    journal, February 2018

    • Aoki, Michio; Juang, Jia-Yang
    • Royal Society Open Science, Vol. 5, Issue 2
    • DOI: 10.1098/rsos.171962

    Nonlinear mechanics of non-rigid origami: an efficient computational approach
    journal, October 2017

    • Liu, K.; Paulino, G. H.
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2206
    • DOI: 10.1098/rspa.2017.0348

    Postbuckling analyses of frame mesostructures consisting of straight ribbons for mechanically guided three-dimensional assembly
    journal, May 2019

    • Liu, Yuan; Xu, Zheng; Hwang, Keh-Chi
    • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 475, Issue 2225
    • DOI: 10.1098/rspa.2019.0012

    Viscoelastic Characteristics of Mechanically Assembled Three-Dimensional Structures Formed by Compressive Buckling
    journal, August 2018

    • Li, Haibo; Wang, Xi; Zhu, Feng
    • Journal of Applied Mechanics, Vol. 85, Issue 12
    • DOI: 10.1115/1.4041163

    From Flatland to Spaceland: Higher Dimensional Patterning with Two-Dimensional Materials
    journal, February 2017

    • Chen, Po-Yen; Liu, Muchun; Wang, Zhongying
    • Advanced Materials, Vol. 29, Issue 23
    • DOI: 10.1002/adma.201605096

    Self-Folding Textiles through Manipulation of Knit Stitch Architecture
    journal, December 2015

    • Knittel, Chelsea; Nicholas, Diana; Street, Reva
    • Fibers, Vol. 3, Issue 4
    • DOI: 10.3390/fib3040575