Static stability analysis of dielectric elastomer
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https://doi.org/10.54939/1859-1043.j.mst.113.2026.185-192Keywords:
Dielectric elastomers; Static stability; Soft robot.Abstract
Dielectric elastomers (DEs) are compliant electroactive polymers with high energy density and rapid response, making them attractive for soft actuators. Their operational reliability, however, is limited by electromechanical instability (EMI). This study employs the Kelvin–Voigt Generalized Maxwell (KV-GM) model to evaluate steady-state stability under uniaxial, equibiaxial, and non-equibiaxial pre-stretch conditions. The results demonstrate that pre-stretch configuration strongly affects critical voltage and deformation capacity, and that appropriate pre-stretch can suppress EMI and improve the stable operating range of DE actuators.
References
[1]. Zhigang Suo, Xuanhe Zhao and William H. Greene, “A nonlinear field theory of deformable dielectrics”, Journal of the Mechanics and Physics of Solids, Vol. 56, No. 2, pp. 467–486, (2008). DOI: https://doi.org/10.1016/j.jmps.2007.05.021
[2]. Xiaotian Shi et al., “Semiseparated biphasic bicontinuous dielectric elastomer for high-performance artificial muscle”, Science, Vol. 390, No. 6777, pp. 1044–1049, (2025). DOI: https://doi.org/10.1126/science.adr3521
[3]. Giacomo Moretti et al., “A review of dielectric elastomer generator systems”, Advanced Intelligent Systems, Vol. 2, No. 10, p. 2000125, (2020). DOI: https://doi.org/10.1002/aisy.202070103
[4]. Yanju Liu et al., “An investigation on electromechanical stability of dielectric elastomers undergoing large deformation”, Smart Materials and Structures, Vol. 18, No. 9, p. 095040, (2009). DOI: https://doi.org/10.1088/0964-1726/18/9/095040
[5]. Zhuoqun Hu et al., “Tuneable Lenses Driven by Dielectric Elastomers: Principles, Structures, Applications, and Challenges”, Applied Sciences, Vol. 15, No. 12, p. 6926, (2025). DOI: https://doi.org/10.3390/app15126926
[6]. Chen Hualing et al., “Research on Electroactive Polymer Materials and Their Applications in Actuators”, Journal of Mechanical Engineering, Vol. 49, No. 6, pp. 10–21, (2013). DOI: https://doi.org/10.3901/JME.2013.06.205
[7]. Ron Pelrine et al., “High-speed electrically actuated elastomers with strain greater than 100%”, Science, Vol. 287, No. 5454, pp. 836–839, (2000). DOI: https://doi.org/10.1126/science.287.5454.836
[8]. Michael Wissler and Edoardo Mazza, “Modeling of a pre-strained circular actuator made of dielectric elastomers”, Sensors and Actuators A: Physical, Vol. 120, No. 1, pp. 184–192, (2005). DOI: https://doi.org/10.1016/j.sna.2004.11.015
[9]. Xuanhe Zhao and Zhigang Suo, “Method to analyze programmable deformation of dielectric elastomer layers”, Applied Physics Letters, Vol. 93, No. 25, (2008). DOI: https://doi.org/10.1063/1.3054159
[10]. R. Huang et al., “Electromechanical phase transition in dielectric elastomers”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 468, pp. 1014–1040, (2012). DOI: https://doi.org/10.1098/rspa.2011.0452
[11]. J. S. Plante and S. Dubowsky, “Large-scale failure modes of dielectric elastomer actuators”, International Journal of Solids and Structures, Vol. 43, No. 25, pp. 7727–7751, (2006). DOI: https://doi.org/10.1016/j.ijsolstr.2006.03.026
[12]. E. M. Mockensturm and N. C. Goulbourne, “Dynamic response of dielectric elastomers”, International Journal of Non-Linear Mechanics, Vol. 41, No. 3, pp. 388–395, (2006). DOI: https://doi.org/10.1016/j.ijnonlinmec.2005.08.007
[13]. J. X. Zhou, W. Hong and X. H. Zhao, “Propagation of instability in dielectric elastomer”, International Journal of Solids and Structures, Vol. 45, No. 13, pp. 3739–3750, (2008). DOI: https://doi.org/10.1016/j.ijsolstr.2007.09.031
[14]. J. Zhu, S. Cai and Z. G. Suo, “Resonant behavior of a membrane of a dielectric elastomer”, International Journal of Solids and Structures, Vol. 47, No. 24, pp. 3254–3262, (2010). DOI: https://doi.org/10.1016/j.ijsolstr.2010.08.008
[15]. Tuan Dung Nguyen et al., “Solution for suppressing viscoelastic creep in cylindrical dielectric elastomer actuator”, Journal of Military Science and Technology, Vol. 101, pp. 148–154, (2025). DOI: https://doi.org/10.54939/1859-1043.j.mst.101.2025.148-154
[16]. B. X. Xu, R. Mueller, A. Thesis et al., “Dynamic analysis of dielectric elastomer actuators”, Applied Physics Letters, Vol. 100, p. 112903, (2012). DOI: https://doi.org/10.1063/1.3694267
[17]. W. Kaal and S. Herold, “Electroactive polymer actuators in dynamic applications”, IEEE/ASME Transactions on Mechatronics, Vol. 16, No. 1, pp. 24–32, (2011). DOI: https://doi.org/10.1109/TMECH.2010.2089529
[18]. P. Dubois et al., “Voltage control of the resonance frequency of dielectric electroactive polymer membranes”, Journal of Microelectromechanical Systems, Vol. 17, No. 5, pp. 1072–1081, (2008). DOI: https://doi.org/10.1109/JMEMS.2008.927741
[19]. Tuan Dung Nguyen et al., “Viscoelasticity modeling of dielectric elastomers by Kelvin Voigt-generalized Maxwell model”, Polymers, Vol. 13, No. 13, p. 2203, (2021). DOI: https://doi.org/10.3390/polym13132203
