Electromechanical responses and instability of electro-active polymer cylindrical shells

doi:10.1007/s10483-016-2118-9

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (8): 1067-1076.doi: https://doi.org/10.1007/s10483-016-2118-9

Electromechanical responses and instability of electro-active polymer cylindrical shells

Jiusheng REN¹, Chengmin WANG²

1. Department of Mechanics, Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200444, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2015-09-18 修回日期:2016-03-04 出版日期:2016-08-01 发布日期:2016-08-01
通讯作者: Jiusheng REN E-mail:jsren@shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 10772104) and the Shanghai Leading Academic Discipline Project (No. S30106)

Electromechanical responses and instability of electro-active polymer cylindrical shells

Jiusheng REN¹, Chengmin WANG²

1. Department of Mechanics, Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200444, China;
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2015-09-18 Revised:2016-03-04 Online:2016-08-01 Published:2016-08-01
Contact: Jiusheng REN E-mail:jsren@shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 10772104) and the Shanghai Leading Academic Discipline Project (No. S30106)

摘要/Abstract

摘要：

Based on the theories of finite deformation elasticity, electromechanical responses and instability of an incompressible electro-active polymer (EAP) cylindrical shell, which is subjected to an internal pressure and a static electric field, are studied. Deformation curves and distribution of stresses are obtained. It is found that an internal pressure together with an electric field may cause the unstable non-monotonic deformation of the shell. It is also shown that a critical thickness for the shell exists, and the shell may undergo the unstable deformation if its thickness is less than this critical value. In addition, the effects of the electric field, axial stretch, thickness, and internal pressure on the instability of the shell are discussed.

关键词: critical thickness, electro-active polymer (EAP), non-monotonic, electromechanical instability, finite deformation elastic theory

Abstract:

Key words: critical thickness, electro-active polymer (EAP), non-monotonic, electromechanical instability, finite deformation elastic theory

中图分类号:

74B20

Jiusheng REN, Chengmin WANG. Electromechanical responses and instability of electro-active polymer cylindrical shells[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(8): 1067-1076.

参考文献

[1] Pelrine, R. E., Kornbluh, R. D., and Joseph, J. P. Electrostriction of polymer dielectrics with compliant electrodes as a means of actuation. Sensors and Actuators A:Physical, 64, 77-85(1998)
[2] Pelrine, R. E., Kornbluh, R. D., Pei, Q., and Joseph, J. P. High speed electrically actuated elastomers with stretch greater than 100%. Science, 287, 836-839(2000)
[3] Heydt, R., Pelrine, R., Joseph, J., Eckerle, J., and Kornbluh, R. Acoustical performance of an electrostrictive polymer film loudspeaker. Journal of the Acoustical Society of America, 107, 833-839(2000)
[4] Dorfmann, L. and Ogden, R. W. Nonlinear response of an electroelastic spherical shell. International Journal of Engineering Science, 85, 163-174(2014)
[5] Plante, J. S. and Dubowsky, S. Large-scale failure modes of dielectric elastomer actuators. International Journal of Solids and Structures, 43, 7727-7751(2006)
[6] Zhao, X. H., Hong, W., and Suo, Z. G. Electromechanical coexistent states and hysteresis in dielectric elastomers. Physical Review B, 76, 134113(2007)
[7] Zhao, X. H. and Suo, Z. G. Method to analyze electromechanical stability of dielectric elastomers. Applied Physics Letters, 91, 061921(2007)
[8] Zhao, X. H. and Suo, Z. G. Theory of dielectric elastomers capable of giant deformation of actuation. Physics Review Letter, 104, 178302(2010)
[9] He, X. Z., Yong, H. D., and Zhou, Y. H. The response and stability of electro-active polymer cylindrical shells under the static and dynamic voltage. Chinese Journal of Solid Mechanics, 33, 341-347(2012)
[10] Yong, H. D., He, X. Z., and Zhou, Y. H. Electromechanical instability of anisotropic dielectric elastomers. International Journal of Engineering Science, 50, 144-150(2012)
[11] Li, T. F., Keplinger, C., Baumgartner, R., Bauer, S., Yang, W., and Suo, Z. G. Giant voltageinduced deformation in dielectric elastomers near the verge of snap-through instability. Journal of the Mechanics and Physics of Solids, 61, 611-628(2013)
[12] Lu, T. Q., An, L., Li, J. G., Yuan, C., and Wang, T. J. Electro-mechanical coupling bifurcation and bulging propagation in a cylindrical dielectric elastomer tube. Journal of the Mechanics and Physics of Solids, 85, 160-175(2015)
[13] Liu, Y. J., Liu, L. W., Sun, S. H., Zhang, Z., and Leng, J. S. Stability analysis of dielectric elastomer film actuator. Science in China Series E:Technological Sciences, 52, 2715-2723(2009)
[14] Díaz-Calleja, R., Riande, E., and Sanchis, M. J. On electromechanical stability of dielectric elastomers. Applied Physics Letters, 93, 101902(2008)
[15] Rudykh, S., Bhattacharya, K., and de Botton, G. Snap-through actuation of thick-wall electroactive balloons. International Journal of Non-Linear Mechanics, 47, 206-209(2012)

Electromechanical responses and instability of electro-active polymer cylindrical shells

Electromechanical responses and instability of electro-active polymer cylindrical shells

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	W. WU, M. DANEKER, M. A. JOLLEY, K. T. TURNER, L. LU. Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1039-1068.
[2]	Dong WU, Yixing HUANG, Ming LEI, Zeang ZHAO, Xiaogang GUO, Daining FANG. Stiffness and toughness of soft/stiff suture joints in biological composites[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1469-1484.
[3]	M. ESMAEILZADEH, M. KADKHODAYAN, S. MOHAMMADI, G. J. TURVEY. Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(3): 439-458.
[4]	Jie XU, Xuegang YUAN, Hongwu ZHANG, Zhentao ZHAO, Wei ZHAO. Combined effects of axial load and temperature on finite deformation of incompressible thermo-hyperelastic cylinder[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(4): 499-514.
[5]	Yuanyuan DA, Yuyang LU, Yong NI. Phase-field simulation of the coupled evolutions of grain and twin boundaries in nanotwinned polycrystals[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(12): 1789-1804.
[6]	Jiao WANG, Weijian ZHOU, Yang HUANG, Chaofeng LYU, Weiqiu CHEN, Weiqiu ZHU. Controllable wave propagation in a weakly nonlinear monoatomic lattice chain with nonlocal interaction and active control[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1059-1070.
[7]	Hua LIU, Yi HAN, Jialing YANG. Large deflection of curved elastic beams made of Ludwick type material[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 909-920.
[8]	Jinling GAO, Wenjuan YAO, Jiankang LIU. Temperature stress analysis for bi-modulus beam placed on Winkler foundation[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 921-934.
[9]	A. R. SETOODEH, M. REZAEI, M. R. ZENDEHDEL SHAHRI. Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 725-740.
[10]	M. MOHAMMADIMEHR, M. A. MOHAMMADIMEHR, P. DASHTI. Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(4): 529-554.
[11]	Long-yuan LI D. EASTERBROOK. Free torsion of thin-walled structural members of open- and closed-sections[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(1): 25-32.
[12]	任九生. Mechanical performance and negative pressure instability for venous walls[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 917-924.
[13]	尚新春张锐任会兰. Analysis of cavitation problem of heated elastic composite ball[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(5): 587-594.
[14]	袁学刚张文正张洪武朱正佑. Stability analysis of radial inflation of incompressible composite rubber tubes[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(3): 301-308.
[15]	夏开明潘同燕刘山洪. Three dimensional large deformation analysis of phase transformation in shape memory alloys[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(10): 1261-1272.