Abstract
Photo-induced deflection of circular glassy nematic discs with different spiral director fields is studied by extending the Föppl–von Kármán plate theory, and the objective is to examine the effects of director distribution and photo-attenuation across the thickness. The analytical solutions are obtained for axisymmetric deformations via the perturbation technique, and the predicted disc shapes are in qualitative consistency with some existing experimental observations. The analysis indicates that the photo-attenuation breaks up–down symmetry of deformation, causing the disc to bend out of plane in a definite direction without an intensity threshold of the incidental light. In addition, it is shown that the deflection can be maximized by optimizing the ratio of the disc thickness to the characteristic length of light attenuation. These results are expected helpful to the design of photo-activated glassy nematic devices.
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References
Warner, M., Terentjev, E.M.: Liquid Crystal Elastomers. Oxford University Press, New York (2003)
Zhao, Y., Ikeda, T.: Smart Light-Responsive Materials. Wiley, New Jersey (2009)
van Oosten, C.L., Harris, K.D., Bastiaansen, C.W.M., Broer, D.J.: Glassy photomechanical liquid-crystal network actuators for microscale devices. Eur. Phys. J. E 23, 329–336 (2007)
Mol, G.N., Harris, K.D., Bastiaansen, C.W.M., Broer, D.J.: Thermo-mechanical responses of liquid-crystal networks with a splayed molecular organization. Adv. Funct. Mater. 15, 1155–1159 (2005)
Camacho-Lopez, M., Finkelmann, H., Palffy-Muhoray, P., Shelley, M.: Fast liquid-crystal elastomer swims into the dark. Nat. Mater. 3, 307–310 (2004)
White, M.S., Kaltenbrunner, M., Głowacki, E.D., Gutnichenko, K., Kettlgruber, G., Graz, I., Aazou, S., Ulbricht, C., Egbe, D.A.M., Miron, M.C., Major, Z., Scharber, M.C., Sekitani, T., Someya, T., Bauer, S., Sariciftci, N.S.: Ultrathin, highly flexible and stretchable PLEDs. Nat. Photon. 7, 811–816 (2013)
Wani, O.M., Zeng, H., Priimagi, A.: A light-driven artificial flytrap. Nat. Commun. 8, 15546 (2017)
Warner, M.: Topographic mechanics and applications of liquid crystalline solids. Annu. Rev. Condens. Matter Phys. 11, 125–145 (2020)
de Haan, L.T., Sanchez-Somolinos, C., Bastiaansen, C.M.W., Schenning, A.P.H.J., Broer, D.J.: Engineering of complex order and the macroscopic deformation of liquid crystal polymer networks. Angew. Chem. Int. Ed. 51, 12469–12472 (2012)
Ware, T.H., McConney, M.E., Wie, J.J., Tondiglia, V.P., White, T.J.: Voxelated liquid crystal elastomers. Science 347, 982–984 (2015)
Warner, M., Mahadevan, L.: Photoinduced deformations of beams, plates, and films. Phys. Rev. Lett. 92, 134302 (2004)
Warner, M., Modes, C.D., Corbett, D.: Curvature in nematic elastica responding to light and heat. Proc. R. Soc. A 466, 2975–2989 (2010)
Warner, M., Modes, C.D., Corbett, D.: Suppression of curvature in nematic elastica. Proc. R. Soc. A 466, 3561–3578 (2010)
Modes, C.D., Warner, M., van Oosten, C.L., Corbett, D.: Anisotropic response of glassy splay-bend and twist nematic cantilevers to light and heat. Phys. Rev. E 82, 041111 (2010)
He, L.H.: Response of constrained glassy splay-bend and twist nematic sheets to light and heat. Eur. Phys. J. E 36, 83 (2013)
He, L.H., Huang, D.W.: Modeling photo-induced deformation of glassy splay-bend and twist nematic sheets. Int. J. Solids Struct. 51, 3471–3479 (2014)
de Haan, L.T., Schenning, A.P.H.J., Broer, D.J.: Programmed morphing of liquid crystal networks. Polymer 55, 5885–5896 (2014)
Liu, Y., Genzer, J., Dickey, M.D.: “2D or not 2D”: shape-programming polymer sheets. Prog. Polym. Sci. 52, 79–106 (2016)
Kuenstler, A.S., Hayward, R.C.: Light-induced shape morphing of thin films. Curr. Opin. Colloid In. 40, 70–86 (2019)
He, L.H., Zheng, Y., Ni, Y.: Programmed shape of glassy nematic sheets with varying in-plane director fields: a kinetics approach. Int. J. Solids Struct. 130–131, 183–189 (2018)
Modes, C.D., Warner, M.: Blueprinting nematic glass: systematically constructing and combining active points of curvature for emergent morphology. Phys. Rev. E 84, 021711 (2011)
Aharoni, H., Sharon, E., Kupferman, R.: Geometry of thin nematic elastomer sheets. Phys. Rev. Lett. 113, 257801 (2014)
Mostajeran, C.: Curvature generation in nematic surfaces. Phys. Rev. E 91, 062405 (2015)
Mostajeran, C., Warner, M., Ware, T.H., White, T.J.: Encoding Gaussian curvature in glassy and elastomeric liquid crystal solids. Proc. R. Soc. A 472, 20160112 (2016)
Griniasty, I., Aharoni, H., Efrati, E.: Curved geometries from planar director fields: solving the two-dimensional inverse problem. Phys. Rev. Lett. 123, 127801 (2019)
Kowalski, B.A., Mostajeran, C., Godman, N.P., Warner, M., White, T.J.: Curvature by design on demand in liquid elastomers. Phys. Rev. E 97, 012504 (2018)
Landau, L., Lifshitz, E.: Theory of Elasticity. Pergamon Press, Oxford (1959)
Willmore, T.J.: An Introduction to Differential Geometry. Oxford University Press, Oxford (1970)
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The work reported here is funded by the National Natural Science Foundation of China (Grants # 11572308).
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Lin, Y.L., He, L.H. Photo-induced axisymmetric deflection of circular glassy nematic discs with spiral director fields. Arch Appl Mech 91, 3191–3202 (2021). https://doi.org/10.1007/s00419-021-01960-y
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DOI: https://doi.org/10.1007/s00419-021-01960-y