Bifurcation of self-folded polygonal bilayers
Abstract
Motivated by the self-assembly of natural systems, researchers have investigated the stimulus-responsive curving of thin-shell structures, which is also known as self-folding. Self-folding strategies not only offer possibilities to realize complicated shapes but also promise actuation at small length scales. Biaxial mismatch strain driven self-folding bilayers demonstrate bifurcation of equilibrium shapes (from quasi-axisymmetric doubly curved to approximately singly curved) during their stimulus-responsive morphing behavior. Being a structurally instable, bifurcation could be used to tune the self-folding behavior, and hence, a detailed understanding of this phenomenon is appealing from both fundamental and practical perspectives. In this work, we investigated the bifurcation behavior of self-folding bilayer polygons. For the mechanistic understanding, we developed finite element models of planar bilayers (consisting of a stimulus-responsive and a passive layer of material) that transform into 3D curved configurations. Our experiments with cross-linked Polydimethylsiloxane samples that change shapes in organic solvents confirmed our model predictions. Finally, we explored a design scheme to generate gripper-like architectures by avoiding the bifurcation of stimulus-responsive bilayers. Our research contributes to the broad field of self-assembly as the findings could motivate functional devices across multiple disciplines such as robotics, artificial muscles, therapeutic cargos, and reconfigurable biomedical devices.
- Authors:
-
- Univ. of Illinois at Urbana-Champaign, IL (United States)
- Univ. of Illinois at Urbana-Champaign, IL (United States); Carnegie Mellon Univ., Pittsburgh, PA (United States)
- Publication Date:
- Research Org.:
- Univ. of Illinois at Urbana-Champaign, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1535344
- Alternate Identifier(s):
- OSTI ID: 1378393
- Grant/Contract Number:
- FG02-07ER46471
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Applied Physics Letters
- Additional Journal Information:
- Journal Volume: 111; Journal Issue: 10; Journal ID: ISSN 0003-6951
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Physics
Citation Formats
Abdullah, Arif M., Braun, Paul V., and Hsia, K. Jimmy. Bifurcation of self-folded polygonal bilayers. United States: N. p., 2017.
Web. doi:10.1063/1.5001699.
Abdullah, Arif M., Braun, Paul V., & Hsia, K. Jimmy. Bifurcation of self-folded polygonal bilayers. United States. https://doi.org/10.1063/1.5001699
Abdullah, Arif M., Braun, Paul V., and Hsia, K. Jimmy. Tue .
"Bifurcation of self-folded polygonal bilayers". United States. https://doi.org/10.1063/1.5001699. https://www.osti.gov/servlets/purl/1535344.
@article{osti_1535344,
title = {Bifurcation of self-folded polygonal bilayers},
author = {Abdullah, Arif M. and Braun, Paul V. and Hsia, K. Jimmy},
abstractNote = {Motivated by the self-assembly of natural systems, researchers have investigated the stimulus-responsive curving of thin-shell structures, which is also known as self-folding. Self-folding strategies not only offer possibilities to realize complicated shapes but also promise actuation at small length scales. Biaxial mismatch strain driven self-folding bilayers demonstrate bifurcation of equilibrium shapes (from quasi-axisymmetric doubly curved to approximately singly curved) during their stimulus-responsive morphing behavior. Being a structurally instable, bifurcation could be used to tune the self-folding behavior, and hence, a detailed understanding of this phenomenon is appealing from both fundamental and practical perspectives. In this work, we investigated the bifurcation behavior of self-folding bilayer polygons. For the mechanistic understanding, we developed finite element models of planar bilayers (consisting of a stimulus-responsive and a passive layer of material) that transform into 3D curved configurations. Our experiments with cross-linked Polydimethylsiloxane samples that change shapes in organic solvents confirmed our model predictions. Finally, we explored a design scheme to generate gripper-like architectures by avoiding the bifurcation of stimulus-responsive bilayers. Our research contributes to the broad field of self-assembly as the findings could motivate functional devices across multiple disciplines such as robotics, artificial muscles, therapeutic cargos, and reconfigurable biomedical devices.},
doi = {10.1063/1.5001699},
journal = {Applied Physics Letters},
number = 10,
volume = 111,
place = {United States},
year = {Tue Sep 05 00:00:00 EDT 2017},
month = {Tue Sep 05 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Edge Effects Determine the Direction of Bilayer Bending
journal, June 2011
- Alben, Silas; Balakrisnan, Bavani; Smela, Elisabeth
- Nano Letters, Vol. 11, Issue 6
Soft Robotics for Chemists
journal, January 2011
- Ilievski, Filip; Mazzeo, Aaron D.; Shepherd, Robert F.
- Angewandte Chemie International Edition, Vol. 50, Issue 8
Method to analyze programmable deformation of dielectric elastomer layers
journal, December 2008
- Zhao, Xuanhe; Suo, Zhigang
- Applied Physics Letters, Vol. 93, Issue 25
Biomimetic 3D self-assembling biomicroconstructs by spontaneous deformation of thin polymer films
journal, January 2012
- Ionov, Leonid
- Journal of Materials Chemistry, Vol. 22, Issue 37
The Tension of Metallic Films Deposited by Electrolysis
journal, May 1909
- Stoney, G. G.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 82, Issue 553
Analysis of Bi-Metal Thermostats
journal, January 1925
- Timoshenko, S.
- Journal of the Optical Society of America, Vol. 11, Issue 3
Substrate curvature due to thin film mismatch strain in the nonlinear deformation range
journal, June 2000
- Freund, L. B.
- Journal of the Mechanics and Physics of Solids, Vol. 48, Issue 6-7
Full-field optical measurement of curvatures in ultra-thin-film–substrate systems in the range of geometrically nonlinear deformations
journal, June 2001
- Lee, Hansuk; Rosakis, Ares J.; Freund, L. B.
- Journal of Applied Physics, Vol. 89, Issue 11
Bifurcation in isotropic thinfilm/substrate plates
journal, February 1995
- Salamon, N. J.; Masters, Christine B.
- International Journal of Solids and Structures, Vol. 32, Issue 3-4
Geometry and mechanics of thin growing bilayers
journal, January 2016
- Pezzulla, Matteo; Smith, Gabriel P.; Nardinocchi, Paola
- Soft Matter, Vol. 12, Issue 19
Programmable shape transformation of elastic spherical domes
journal, January 2016
- Abdullah, Arif M.; Braun, Paul V.; Hsia, K. Jimmy
- Soft Matter, Vol. 12, Issue 29
Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load
journal, August 2009
- Hong, Wei; Liu, Zishun; Suo, Zhigang
- International Journal of Solids and Structures, Vol. 46, Issue 17
Geometry Effect on the Strain-Induced Self-Rolling of Semiconductor Membranes
journal, October 2010
- Chun, Ik Su; Challa, Archana; Derickson, Brad
- Nano Letters, Vol. 10, Issue 10
Mismatch strain programmed shape transformation of curved bilayer-flexible support assembly
journal, June 2016
- Abdullah, Arif M.; Nan, Kewang; Rogers, John A.
- Extreme Mechanics Letters, Vol. 7
Shape-programmable materials
journal, January 2016
- Modes, Carl; Warner, Mark
- Physics Today, Vol. 69, Issue 1
Programming matter through strain
journal, June 2015
- Motala, Michael J.; Perlitz, Daniel; Daly, Christopher M.
- Extreme Mechanics Letters, Vol. 3
The Role of Wheat Awns in the Seed Dispersal Unit
journal, May 2007
- Elbaum, R.; Zaltzman, L.; Burgert, I.
- Science, Vol. 316, Issue 5826
Stimuli responsive self-folding using thin polymer films
journal, February 2013
- Gracias, David H.
- Current Opinion in Chemical Engineering, Vol. 2, Issue 1
Geometry and Physics of Wrinkling
journal, February 2003
- Cerda, E.; Mahadevan, L.
- Physical Review Letters, Vol. 90, Issue 7
Self-folding thin-film materials: From nanopolyhedra to graphene origami
journal, September 2012
- Shenoy, Vivek B.; Gracias, David H.
- MRS Bulletin, Vol. 37, Issue 9
Bending and twisting of soft materials by non-homogenous swelling
journal, January 2011
- Holmes, Douglas P.; Roché, Matthieu; Sinha, Tarun
- Soft Matter, Vol. 7, Issue 11
Dielectric Elastomer Based “Grippers” for Soft Robotics
journal, September 2015
- Shian, Samuel; Bertoldi, Katia; Clarke, David R.
- Advanced Materials, Vol. 27, Issue 43
Energy minimization for self-organized structure formation and actuation
journal, February 2007
- Kofod, Guggi; Wirges, Werner; Paajanen, Mika
- Applied Physics Letters, Vol. 90, Issue 8
Works referencing / citing this record:
Modeling and Application of Planar‐to‐3D Structures via Optically Programmed Frontal Photopolymerization
journal, February 2019
- Wang, Jinqiang; Mu, Xiaoming; Li, Dawei
- Advanced Engineering Materials, Vol. 21, Issue 5
Self-Folded Gripper-Like Architectures from Stimuli-Responsive Bilayers
journal, June 2018
- Abdullah, Arif M.; Li, Xiuling; Braun, Paul V.
- Advanced Materials, Vol. 30, Issue 31
Constrained stability of conservative static equilibrium
journal, April 2019
- Eriksson, Anders; Nordmark, Arne
- Computational Mechanics, Vol. 64, Issue 4
Rigidisation of deployable space polymer membranes by heat-activated self-folding
journal, September 2018
- Wu, Rui; Roberts, Peter C. E.; Lyu, Shida
- Smart Materials and Structures, Vol. 27, Issue 10