Discover the SciOpen Platform and Achieve Your Research Goals with Ease.
Search articles, authors, keywords, DOl and etc.
Assembling two-dimensional (2D) sheets into macroscopic three-dimensional (3D) forms has created a promising material family with rich functionalities. Multiscale wrinkles are intrinsic features of 2D sheets in their 3D assembles. Therefore, the precise wrinkling modulation optimizes the transition of outstanding properties of 2D sheets to expected performances of assembled materials and dominates their fabrication process. The wrinkling evolution of 2D sheets assembling onto flat surfaces has been extensively understood, however, the wrinkling behaviors on the more generally curved surface still remain unclear. Here, we investigate the wrinkling behaviors of graphene oxide sheets assembled onto curved surfaces and reveal the selection rule of wrinkling modes that determined by the curvature mismatch between 2D sheets and target surfaces. We uncover that three wrinkling modes including isotropic cracked land, labyrinth, and anisotropic curtain phases, respectively emerge on flat, spherical, and cylindrical surfaces. A favorable description paradigm is offered to quantitatively measure the complex wrinkling patterns and assess the curvature mismatch constraint underlying the wrinkling mode selection. This research provides a general and quantitative description framework of wrinkling modulation of 2D materials such as high performance graphene fibers, and guides the precise fabrication of particles and functional coatings.
Ding, J. H.; Zhao, H. R.; Yu, H. B. Bio-inspired multifunctional graphene-epoxy anticorrosion coatings by low-defect engineered graphene. ACS Nano 2022, 16, 710–720.
Cao, C.; Lin, Z. K.; Liu, X. C.; Jia, Y. Y.; Saiz, E.; Wolf, S. E.; Wagner, H. D.; Jiang, L.; Cheng, Q. Strong reduced graphene oxide coated Bombyx mori silk. Adv. Funct. Mater. 2021, 31, 2102923.
Shen, X.; Wang, Z. Y.; Wu, Y.; Liu, X.; He, Y. B.; Kim, J. K. Multilayer graphene enables higher efficiency in improving thermal conductivities of graphene/epoxy composites. Nano Lett. 2016, 16, 3585–3593.
Ming, X.; Wei, A. R.; Liu, Y. J.; Peng, L.; Li, P.; Wang, J. Q.; Liu, S. P.; Fang, W. Z.; Wang, Z. Q.; Peng, H. Q. et al. 2D-topology-seeded graphitization for highly thermally conductive carbon fibers.
Li, P.; Liu, Y. J.; Shi, S. Y.; Xu, Z.; Ma, W. G.; Wang, Z. Q.; Liu, S. P.; Gao, C. Highly crystalline graphene fibers with superior strength and conductivities by plasticization spinning. Adv. Funct. Mater. 2020, 30, 2006584.
Zhang, M.; Huang, L.; Chen, J.; Li, C.; Shi, G. Q. Ultratough, ultrastrong, and highly conductive graphene films with arbitrary sizes. Adv. Mater. 2014, 26, 7588–7592.
Li, P.; Yang, M. C.; Liu, Y. J.; Qin, H. S.; Liu, J. R.; Xu, Z.; Liu, Y. L.; Meng, F. X.; Lin, J. H.; Wang, F. et al. Continuous crystalline graphene papers with gigapascal strength by intercalation modulated plasticization. Nat. Commun. 2020, 11, 2645.
Wen, Y. Y.; Wu, M. M.; Zhang, M.; Li, C.; Shi, G. Q. Topological design of ultrastrong and highly conductive graphene films. Adv. Mater. 2017, 29, 1702831.
Shang, T. X.; Lin, Z. F.; Qi, C. S.; Liu, X.; Li, P.; Tao, Y.; Wu, Z. T.; Li, D. W.; Simon, P.; Yang, Q. H. 3D macroscopic architectures from self-assembled MXene hydrogels. Adv. Funct. Mater. 2019, 29, 1903960.
Lin, J. H.; Li, P.; Liu, Y. J.; Wang, Z. Q.; Wang, Y.; Ming, X.; Gao, C.; Xu, Z. The origin of the sheet size predicament in graphene macroscopic papers. ACS Nano 2021, 15, 4824–4832.
Cheng, X. L.; Miao, L. M.; Su, Z. M.; Chen, H. T.; Song, Y.; Chen, X. X.; Zhang, H. X. Controlled fabrication of nanoscale wrinkle structure by fluorocarbon plasma for highly transparent triboelectric nanogenerator. Microsyst. Nanoeng. 2017, 3, 16074.
Sakorikar, T.; Vayalamkuzhi, P.; Jaiswal, M. Geometry dependent performance limits of stretchable reduced graphene oxide interconnects: The role of wrinkles. Carbon 2020, 158, 864–872.
Hu, H. Q.; Xia, K. L.; Zhao, S. J.; Ma, M.; Zheng, Q. S. Eliminating graphene wrinkles by strain engineering. Extreme Mech. Lett. 2021, 42, 101104.
Rhee, D.; Paci, J. T.; Deng, S. K.; Lee, W. K.; Schatz, G. C.; Odom, T. W. Soft skin layers enable area-specific, multiscale graphene wrinkles with switchable orientations. ACS Nano 2020, 14, 166–174.
Wang, C. G.; Lan, L.; Liu, Y. P.; Tan, H. F. Defect-guided wrinkling in graphene. Comput. Mater. Sci. 2013, 77, 250–253.
Peng, L.; Xu, Z.; Liu, Z.; Guo, Y.; Li, P.; Gao, C. Ultrahigh thermal conductive yet superflexible graphene films. Adv. Mater. 2017, 29, 1700589.
Xu, X. Z.; Yi, D.; Wang, Z. C.; Yu, J. C.; Zhang, Z. H.; Qiao, R. X.; Sun, Z. H.; Hu, Z. H.; Gao, P.; Peng, H. L. et al. Greatly enhanced anticorrosion of Cu by commensurate graphene coating. Adv. Mater. 2018, 30, 1702944.
Yoo, B. M.; Shin, J. E.; Lee, H. D.; Park, H. B. Graphene and graphene oxide membranes for gas separation applications. Curr. Opin. Chem. Eng. 2017, 16, 39–47.
Park, M. J.; Kim, Y.; Kim, Y.; Hong, B. H. Continuous films of self-assembled graphene quantum dots for n-type doping of graphene by UV-triggered charge transfer. Small 2017, 13, 1603142.
Zang, J. F.; Ryu, S.; Pugno, N.; Wang, Q. M.; Tu, Q.; Buehler, M. J.; Zhao, X. H. Multifunctionality and control of the crumpling and unfolding of large-area graphene. Nat. Mater. 2013, 12, 321–325.
Chen, P. Y.; Liu, M. C.; Wang, Z. Y.; Hurt, R. H.; Wong, I. Y. From flatland to spaceland: Higher dimensional patterning with two-dimensional materials. Adv. Mater. 2017, 29, 1605096.
Breid, D.; Crosby, A. J. Curvature-controlled wrinkle morphologies. Soft Matter 2013, 9, 3624–3630.
Zheng, S. Y.; Ding, H. Y.; Qian, J.; Yin, J.; Wu, Z. L.; Song, Y. H.; Zheng, Q. Metal-coordination complexes mediated physical hydrogels with high toughness, stick-slip tearing behavior, and good processability. Macromolecules 2016, 49, 9637–9646.
Zhao, X. L.; Gao, W. W.; Yao, W. Q.; Jiang, Y. Q.; Xu, Z.; Gao, C. Ion diffusion-directed assembly approach to ultrafast coating of graphene oxide thick multilayers. ACS Nano 2017, 11, 9663–9670.
Lai, B. S.; Zhang, L. L. Existences of periodic solutions to the generalized Swift−Hohenberg equation on symmetry-breaking model. Appl. Math. Lett. 2020, 103, 106206.
Savelev, R. S.; Gorlach, M. A.; Poddubny, A. N. Topological interface states mediated by spontaneous symmetry breaking. Phys. Rev. B 2018, 98, 045415.
Riccobelli, D.; Ciarletta, P. Shape transitions in a soft incompressible sphere with residual stresses. Math. Mech. Solids 2018, 23, 1507–1524.
Du, L. J.; Hasan, T.; Castellanos-Gomez, A.; Liu, G. B.; Yao, Y. G.; Lau, C. N.; Sun, Z. P. Engineering symmetry breaking in 2D layered materials. Nat. Rev. Phys. 2021, 3, 193–206.
Zhao, Y.; Zhu, H. L.; Jiang, C.; Cao, Y. P.; Feng, X. Q. Wrinkling pattern evolution on curved surfaces. J. Mech. Phys. Solids 2020, 135, 103798.
Kim, D. S.; Yoon, D. K. Curvatures of smectic liquid crystals and their applications. J. Inf. Disp. 2018, 19, 7–23.
Jiang, Y. Q.; Wang, Y.; Xu, Z.; Gao, C. Conformation engineering of two-dimensional macromolecules: A case study with graphene oxide. Acc. Mater. Res. 2020, 1, 175–187.
Wang, Y.; Wang, S. J.; Li, P.; Rajendran, S.; Xu, Z.; Liu, S. P.; Guo, F.; He, Y. H.; Li, Z. S.; Xu, Z. P. et al. Conformational phase map of two-dimensional macromolecular graphene oxide in solution. Matter 2020, 3, 230–245.
Hohlfeld, E.; Davidovitch, B. Sheet on a deformable sphere: Wrinkle patterns suppress curvature-induced delamination. Phys. Rev. E 2015, 91, 012407.
Zhu, L. L.; Yuan, H. Z.; Wu, K.; Wang, X. R.; Liu, G.; Sun, J.; Liao, X. B.; Chen, X. Curvature-controlled delamination patterns of thin films on spherical substrates. iScience 2021, 24, 102616.
Wang, T.; Yang, Y. F.; Fu, C. B.; Liu, F.; Wang, K.; Xu, F. Wrinkling and smoothing of a soft shell. J. Mech. Phys. Solids 2020, 134, 103738.
Jia, F.; Pearce, S. P.; Goriely, A. Curvature delays growth-induced wrinkling. Phys. Rev. E 2018, 98, 033003.
Yuan, H. Z.; Wu, K.; Zhang, J. Y.; Wang, Y. Q.; Liu, G.; Sun, J. Curvature-controlled wrinkling surfaces for friction. Adv. Mater. 2019, 31, 1900933.
Zhang, C.; Wang, J. W.; Cao, Y. P.; Lu, C. H.; Li, B.; Feng, X. Q. Microbead-regulated surface wrinkling patterns in a film-substrate system. Appl. Phys. Lett. 2017, 111, 151601.
Paulsen, J. D.; Hohlfeld, E.; King, H.; Huang, J. S.; Qiu, Z. L.; Russell, T. P.; Menon, N.; Vella, D.; Davidovitch, B. Curvature-induced stiffness and the spatial variation of wavelength in wrinkled sheets. Proc. Natl. Acad. Sci. USA 2016, 113, 1144–1149.
Tovkach, O.; Chen, J. B.; Ripp, M. M.; Zhang, T.; Paulsen, J. D.; Davidovitch, B. Mesoscale structure of wrinkle patterns and defect-proliferated liquid crystalline phases. Proc. Natl. Acad. Sci. USA 2020, 117, 3938–3943.
Terwagne, D.; Brojan, M.; Reis, P. M. Smart morphable surfaces for aerodynamic drag control. Adv. Mater. 2014, 26, 6608–6611.
Li, B.; Jia, F.; Cao, Y. P.; Feng, X. Q.; Gao, H. J. Surface wrinkling patterns on a core−shell soft sphere. Phys. Rev. Lett. 2011, 106, 234301.
Chiang, H. C. F.; Chiu, L. J.; Li, H. H.; Hsiao, P. Y.; Hong, T. M. Crumpling an elastoplastic thin sphere. Phys. Rev. E 2021, 103, 012209.
Stoop, N.; Lagrange, R.; Terwagne, D.; Reis, P. M.; Dunkel, J. Curvature-induced symmetry breaking determines elastic surface patterns. Nat. Mater. 2015, 14, 337–342.
Yin, J.; Yagüe, J. L.; Eggenspieler, D.; Gleason, K. K.; Boyce, M. C. Deterministic order in surface micro-topologies through sequential wrinkling. Adv. Mater. 2012, 24, 5441–5446.
Javili, A.; Bakiler, A. D. A displacement-based approach to geometric instabilities of a film on a substrate. Math. Mech. Solids 2019, 24, 2999–3023.
Audoly, B.; Boudaoud, A. Buckling of a stiff film bound to a compliant substrate—Part I: Formulation, linear stability of cylindrical patterns, secondary bifurcations. J. Mech. Phys. Solids 2008, 56, 2401–2421.
Lin, G. J.; Li, J. Q.; Xu, Z.; Ge, D. T.; Sun, W. F.; Chen, P. W. Hierarchical surface patterns via global wrinkling on curved substrate for fluid drag control. Adv. Mater. Interfaces 2021, 8, 2001489.
Chen, P. Y.; Sodhi, J.; Qiu, Y.; Valentin, T. M.; Steinberg, R. S.; Wang, Z. Y.; Hurt, R. H.; Wong, I. Y. Multiscale graphene topographies programmed by sequential mechanical deformation. Adv. Mater. 2016, 28, 3603–3603.
Chen, X. M.; Li, Q.; Hou, K. Y.; Li, X. Y.; Wang, Z. K. Microflower-decorated superhydrophobic copper surface for dry condensation. Langmuir 2019, 35, 16275–16280.
Feng, S. L.; Delannoy, J.; Malod, A.; Zheng, H. X.; Quéré, D.; Wang, Z. K. Tip-induced flipping of droplets on Janus pillars: From local reconfiguration to global transport. Sci. Adv. 2020, 6, eabb4540.
Yang, S. K.; Sun, N.; Stogin, B. B.; Wang, J.; Huang, Y.; Wong, T. S. Ultra-antireflective synthetic brochosomes. Nat. Commun. 2017, 8, 1285.