Abstract
Photo-responsive nematic polymers can transduce light into mechanical work, but the rate is limited by the quasi-static deformation. To enhance the work output, a strategy of exploiting photo-triggered snap-through of glassy nematic shallow spherical shells with hemeotropic director alignment is examined here. The criterion for the nonlinear instability is derived analytically by using the modified iteration method. It is shown that, for thin shells of small height and large basal radius, snap-through can be caused by an incident light with moderate irradiation intensity. The phenomenon may inspire some new designs of contactless and ultra-fast actuation devices with high-rate output of mechanical work.
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References
Warner M, Terentjev EM. Liquid crystal elastomers. New York: Oxford University Press; 2003.
Zhao Y, Ikeda T. Smart light-responsive materials. New Jersey: Wiley; 2009.
Finkelmann H, Nishikawa E, Pereira GG, Warner M. A new opto-mechanical effect in solids. Phys Rev Lett. 2001;87(1):015501.
Yu Y, Nakano M, Ikeda T. Photomechanics: directed bending of a polymer film by light. Nature. 2003;425(6954):145.
Warner M. Topographic mechanics and applications of liquid crystalline solids. Annu Rev Condens Matter Phys. 2020;11:125–45.
Kuenstler AS, Hayward RC. Light-induced shape morphing of thin films. Curr Opin Colloid In. 2019;40:70–86.
Xin XZ, Liu LW, Liu YJ, Leng JS. Mechanical models, structures, and applications of shape-memory polymers and their composites. Acta Mech Solida Sin. 2019;32(5):535–65.
White TJ. Photomechanical effects in liquid crystalline polymer networks and elastomers. J Polym Sci Pol Phys. 2018;56(9):695–705.
Modes CD, Warner M. Shape-programmable materials. Phys Today. 2016;69(1):32–8.
de Haan LT, Schenning APHJ, Broer DJ. Programmed morphing of liquid crystal networks. Polymer. 2014;55(23):5885–96.
Zhu CS, Fang XQ, Liu JX. A new approach for smart control of size-dependent nonlinear free vibration of viscoelastic orthotropic piezoelectric doubly-curved nanoshells. Appl Math Model. 2020;77(Part 1):137–68.
Zhu CS, Fang XQ, Nie GQ. Nonlinear free and forced vibration of porous piezoelectric doubly-curved shells based on NUEF model. Thin Wall Struct. 2021;163:107678.
Zhang Y, Xue Y, Yuan W, Ma WS, Li FM. Active control of thermo-mechanical buckling of composite laminated plates using piezoelectric actuators. Acta Mech Solida Sin. 2021;34(3):369–80.
Paik CS, Morawetz H. Photochemical and thermal isomerization of azoaromatic residues in the side chains and the backbone of polymers in bulk. Macromol. 1972;5(2):171–7.
Lee KM, Tabiryan NV, Bunning TJ, White TJ. Photomechanical mechanism and structure-property considerations in the generation of photomechanical work in glassy, azobenzene liquid crystal polymer networks. J Mater Chem. 2012;22(2):691–8.
Lee KM, Smith ML, Koemer H, Tabiryan N, Vaia RA, Bunning TJ, White TJ. Photodriven, flexural-torsional oscillation of glassy azobenzene liquid crystal polymer networks. Adv Funct Mater. 2011;21(15):2913–8.
Shankar MR, Smith ML, Tondigliac VP, Lee KM, McConneyc ME, Wang DH, Tan LS, White TL. Contactless, photoinitiated snap-through in azobenzene-functionalized polymers. Proc Natl Acad Sci USA. 2013;11(47):18792–7.
Forterre Y, Skotheim JM, Dumais J, Mahadevan L. How the Venus flytrap snaps. Nature. 2005;433(7024):421–5.
Smith ML, Yanega GM, Ruina A. Elastic instability model of rapid beak closure in hummingbirds. J Theor Biol. 2011;282(1):41–51.
von Kármán T, Tsien HS. The buckling of spherical shells by external pressure. J Aeronaut Sci. 1939;7:43–50.
Hu HC. On the snapping of a thin spherical cap. Sci Sinica. 1954;4:437–61.
Yeh KY, Liu RH, Ping QY, Li SL. Non-linear stabihty of thin circular shallow spherical shell under actions of axisymmetric uniform distributed line loads. Chin Sci Bull. 1965;2:142–5 ((in Chinese)).
Liu RH. Non-linear thermal stability of bimetallic shallow shells of revolution. Int J Non linear Mech. 1984;18(5):409–29.
van Oosten CL, Harris KD, Bastiaansen CWM, Broer DJ. Glassy photomechanical liquid-crystal network actuators for microscale devices. Eur Phys J E. 2007;23(3):329–36.
He LH, Huang DW. Modeling photo-induced deformation of glassy splay-bend and twist nematic sheets. Int J Solids Struct. 2014;51(19–20):3471–9.
He LH, Xia S. The shape of a photo-actuated pyramidal cone. J Appl Mech. 2020;87(2):021009.
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This work is supported by the National Natural Science Foundation of China (Grant No. 11572308).
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Lin, Y., He, L. & Liu, R. Photo-Activated Snap-Through of Nematic Shallow Spherical Shells. Acta Mech. Solida Sin. 35, 239–247 (2022). https://doi.org/10.1007/s10338-021-00268-2
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DOI: https://doi.org/10.1007/s10338-021-00268-2