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Photo-induced axisymmetric deflection of circular glassy nematic discs with spiral director fields

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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

  1. Warner, M., Terentjev, E.M.: Liquid Crystal Elastomers. Oxford University Press, New York (2003)

    Google Scholar 

  2. Zhao, Y., Ikeda, T.: Smart Light-Responsive Materials. Wiley, New Jersey (2009)

    Book  Google Scholar 

  3. 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)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. Camacho-Lopez, M., Finkelmann, H., Palffy-Muhoray, P., Shelley, M.: Fast liquid-crystal elastomer swims into the dark. Nat. Mater. 3, 307–310 (2004)

    Article  Google Scholar 

  6. 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)

    Article  Google Scholar 

  7. Wani, O.M., Zeng, H., Priimagi, A.: A light-driven artificial flytrap. Nat. Commun. 8, 15546 (2017)

    Article  Google Scholar 

  8. Warner, M.: Topographic mechanics and applications of liquid crystalline solids. Annu. Rev. Condens. Matter Phys. 11, 125–145 (2020)

    Article  Google Scholar 

  9. 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)

    Article  Google Scholar 

  10. Ware, T.H., McConney, M.E., Wie, J.J., Tondiglia, V.P., White, T.J.: Voxelated liquid crystal elastomers. Science 347, 982–984 (2015)

    Article  Google Scholar 

  11. Warner, M., Mahadevan, L.: Photoinduced deformations of beams, plates, and films. Phys. Rev. Lett. 92, 134302 (2004)

    Article  Google Scholar 

  12. Warner, M., Modes, C.D., Corbett, D.: Curvature in nematic elastica responding to light and heat. Proc. R. Soc. A 466, 2975–2989 (2010)

    Article  Google Scholar 

  13. Warner, M., Modes, C.D., Corbett, D.: Suppression of curvature in nematic elastica. Proc. R. Soc. A 466, 3561–3578 (2010)

    Article  MathSciNet  Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. He, L.H.: Response of constrained glassy splay-bend and twist nematic sheets to light and heat. Eur. Phys. J. E 36, 83 (2013)

    Article  Google Scholar 

  16. 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)

    Article  Google Scholar 

  17. de Haan, L.T., Schenning, A.P.H.J., Broer, D.J.: Programmed morphing of liquid crystal networks. Polymer 55, 5885–5896 (2014)

    Article  Google Scholar 

  18. Liu, Y., Genzer, J., Dickey, M.D.: “2D or not 2D”: shape-programming polymer sheets. Prog. Polym. Sci. 52, 79–106 (2016)

    Article  Google Scholar 

  19. Kuenstler, A.S., Hayward, R.C.: Light-induced shape morphing of thin films. Curr. Opin. Colloid In. 40, 70–86 (2019)

    Article  Google Scholar 

  20. 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)

    Article  Google Scholar 

  21. 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)

    Article  Google Scholar 

  22. Aharoni, H., Sharon, E., Kupferman, R.: Geometry of thin nematic elastomer sheets. Phys. Rev. Lett. 113, 257801 (2014)

    Article  Google Scholar 

  23. Mostajeran, C.: Curvature generation in nematic surfaces. Phys. Rev. E 91, 062405 (2015)

    Article  MathSciNet  Google Scholar 

  24. 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)

    Article  MathSciNet  Google Scholar 

  25. Griniasty, I., Aharoni, H., Efrati, E.: Curved geometries from planar director fields: solving the two-dimensional inverse problem. Phys. Rev. Lett. 123, 127801 (2019)

    Article  MathSciNet  Google Scholar 

  26. 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)

    Article  Google Scholar 

  27. Landau, L., Lifshitz, E.: Theory of Elasticity. Pergamon Press, Oxford (1959)

    MATH  Google Scholar 

  28. Willmore, T.J.: An Introduction to Differential Geometry. Oxford University Press, Oxford (1970)

    MATH  Google Scholar 

Download references

Acknowledgements

The work reported here is funded by the National Natural Science Foundation of China (Grants # 11572308).

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Correspondence to L. H. He.

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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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