Abstract
Thin film structures will be wrinkled due to buckling deformation under the influence of compressive stress. The wrinkle and tension states of the thin film can be changed by introducing microstructures. So we introduce rigid elements on the thin film to suppress the wrinkling behavior of the thin film, and propose a method to calculate the optimal distribution position of the rigid elements on the thin film. Using this method, the optimal distribution positions of the square rigid elements on the biaxially stretched square thin film were calculated, and the effectiveness of introducing rigid elements on the thin film to suppress the wrinkle was verified through numerical simulation and experimental research. The results show that the wrinkling behaviour of the film can be effectively suppressed by placing rigid elements at the optimal position obtained by the method proposed to this paper. Our findings could provide new design ideas for thin-film antenna structures in aerospace engineering.
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The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
References
Akita, T., Natori, M.C.: Sensitivity analysis method for membrane wrinkling based on the tension-field theory. AIAA J 46, 1516–1527 (2008). https://doi.org/10.2514/1.33187
Alioli, M., Masarati, P., Morandini, M., Albertani, R., Carpenter, T.: Modeling effects of membrane tension on dynamic stall for thin membrane wings. Aerosp. Sci. Technol. 69, 419–431 (2017). https://doi.org/10.1016/j.ast.2017.07.008
Cai, J.G., Ren, Z., Ding, Y.F., Deng, X.W., Xu, Y.X., Feng, J.: Deployment simulation of foldable origami membrane structures. Aerosp. Sci. Technol. 67, 345–353 (2017). https://doi.org/10.1016/j.ast.2017.04.002
Cerda, E., Mahadevan, L.: Geometry and physics of wrinkling. Phys. Rev. Lett. (2003). https://doi.org/10.1103/PhysRevLett.90.074302
Deng, X.W., Xu, Y.X., Clarke, C.: Wrinkling modelling of space membranes subject to solar radiation pressure. Compos. B 157, 266–275 (2019). https://doi.org/10.1016/j.compositesb.2018.08.088
Fan, L., Lv, L.L., Peng, F.J., Cai, G.P.: Coupled structural-electromagnetic modeling and analysis of active membrane phased array antenna. Adv. Space. Res. 66, 760–770 (2020). https://doi.org/10.1016/j.asr.2020.04.049
Fleurent-Wilson, E., Pollock, T.E., Su, W.J., Warrier, D., Salehian, A.: Wrinkle localization in membrane structures patched with macro-fiber composite actuators: Inflatable space antenna applications. J. Intel. Mat. Syst. Str. 25, 1978–2009 (2014). https://doi.org/10.1177/1045389X13512908
Fu, C.B., Wang, T., Xu, F., Huo, Y., Potier-Ferry, M.: A modeling and resolution framework for wrinkling in hyperelastic sheets at finite membrane strain. J. Mech. Phys. Solids 124, 446–470 (2019). https://doi.org/10.1016/j.jmps.2018.11.005
Iwasa, T.: Approximate estimation of wrinkle wavelength and maximum amplitude using a tension-field solution. Int. J. Solid Struct. 121, 201–211 (2017). https://doi.org/10.1016/j.ijsolstr.2017.05.029
Krivoshapko, S.N.: Thin sheet metal suspended roof structures. Thin-Walled Struct. 119, 629–634 (2017). https://doi.org/10.1016/j.tws.2017.07.014
Kumar, S., Upadhyay, S.H., Mathur, A.C.: Wrinkling simulation of membrane structures under tensile and shear loading. J. Vib. Anal., Meas., Control 3, 17–33 (2015). https://doi.org/10.7726/jvamc.2015.1002
Liu, M.J., Huang, J., Liu, M.Y.: Wrinkling reduction of membrane structure by trimming edges. AIP Adv. (2017). https://doi.org/10.1063/1.4984289
Luo, Y.J., Zhan, J.J., Xing, J., Zhan, K.: Non-probabilistic uncertainty quantification and response analysis of structures with a bounded field model. Comput. Method. Appl. 347, 663–678 (2019). https://doi.org/10.1016/j.cma.2018.12.043
Luo, Y.J., Xing, J., Zhan, K., Zhan, J.J., Li, M.: Uncertainty of membrane wrinkling behaviors considering initial thickness imperfections. Int. J. Solids. Struct. 91, 264–277 (2020). https://doi.org/10.1016/j.ijsolstr.2020.01.022
Mansfield, E.H.: Load transfer via a wrinkled membrane. Proc. Roy. Soc. Lond. A 316, 269–289 (1970). https://doi.org/10.1098/rspa.1970.0079
Mura, T.: Micromechanics of defects in solids. Martinus Nijhoff Publishers, Leiden (1987)
Pipkin, A.C.: The relaxed energy density for isotropic elastic membranes. IMA J. Appl. Math. 36, 85–99 (1986). https://doi.org/10.1093/imamat/36.1.85
Stephane, A.: Wrinkling in polygonal membranes, Ph.D. Thesis, University of Cambridge, Cambridge, UK, 2014
Sun, P., Huang, J., Zhang, J.Y., Meng, F.B.: Wrinkling patterns and stress analysis of tensile membrane with rigid elements. Appl. Sci. Basel (2022). https://doi.org/10.3390/app12136630
Wang, C.G., Lan, L., Tan, H.F.: Secondary wrinkling analysis of rectangular membrane under shearing. Int. J. Mech. Sci. 75, 299–304 (2013). https://doi.org/10.1016/j.ijmecsci.2013.07.009
Wong, Y.W., Pellegrino, S.: Wrinkled membranes part II: analytical models. J. Mech. Mater. Struct. 1, 27–61 (2006). https://doi.org/10.2140/jomms.2006.1.27
Xing, J., Luo, Y.J., Gao, Z.H.: A global optimization strategy based on the Kriging surrogate model and parallel computing. Struct. Multidiscip. o. 62, 405–417 (2020). https://doi.org/10.1007/s00158-020-02495-6
Yan, D., Zhang, K., Peng, F.J., Hu, G.K.: Tailoring the wrinkle pattern of a microstructured membrane. Appl. Phys. Lett. (2014). https://doi.org/10.1063/1.4893596
Yan, D., Huangfu, D.Z., Zhang, K., Hu, G.K.: Wrinkling of the membrane with square rigid elements. EPL-Europhys. Lett. (2016). https://doi.org/10.1209/0295-5075/116/24005
Zhang, Q., Zhong, Y.H., Wang, Z.Z., Kueh, A.B.H., Cai, J.G., Feng, J.: Analytical model and general calculation procedure for wrinkled membrane parameters. Int. J. Mech. Sci (2022). https://doi.org/10.1016/j.ijmecsci.2022.107168
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grant 52035010, in part by Shaanxi Innovation Team Project under Grant 2018TD-012, in part by Shaanxi Key Industry Chain Project under Grant 2020ZDLGY14-08, and in part by the National 111 Project under Grant B14042, in part by Shaanxi Provincial Fund under Grant 2022JQ-366. in part by National Natural Science Foundation of China under Grant 52205411 in part by National Defense Science and Technology Key Laboratory Fund under Grant 2022-JCJQ-LB-018.
Funding
National Natural Science Foundation of China under Grant, 52035010, Jin Huang, 52205411, Fanbo Meng, Shaanxi Innovation Team Project under Grant, 2018TD-012, Jin Huang, Shaanxi Key Industry Chain Project under Grant, 2020ZDLGY14-08, Jin Huang, National 111 Project under Grant, B14042, Jin Huang, Shaanxi Provincial Fund under Grant, 2022JQ-366, Fanbo Meng.
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by PS and JH, FM. The first draft of the manuscript was written by PS and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript. National Defense Science and Technology Key Laboratory Fund under Grant, 2022-JCJQ-LB-018, Fanbo Meng.
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Sun, P., Huang, J., Zhang, J. et al. Wrinkling suppression in thin film using position distribution of microstructures. Int J Mech Mater Des 20, 3–13 (2024). https://doi.org/10.1007/s10999-023-09653-w
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DOI: https://doi.org/10.1007/s10999-023-09653-w