Giant voltage-induced deformation in dielectric elastomers near the verge of snap-through instability

Journal of the Mechanics and Physics of Solids

Volumn 61, Issue 2, 2013, Pages 611-628

  Li, Tiefeng ^a,b   Keplinger, Christoph ^b,c   Baumgartner, Richard ^c   Bauer, Siegfried ^c   Yang, Wei ^a   Suo, Zhigang ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HARVARD UNIVERSITY   (United States)

^c JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Bifurcation; Dielectric elastomer; Electromechanical processes; Finite strain; Snap through instability

Indexed keywords

BIFURCATION DIAGRAM; COMPUTATIONAL MODEL; DIELECTRIC ELASTOMERS; DIELECTRIC MEMBRANES; ELECTROMECHANICAL INSTABILITY; ELECTROMECHANICAL PROCESS; FINITE STRAIN; INHOMOGENEOUS DEFORMATION; INITIAL PRESSURE; LARGE DEFORMATIONS; NONLINEAR BEHAVIOR; SNAP-THROUGH; SNAP-THROUGH INSTABILITY; VARYING PARAMETERS;

BIFURCATION (MATHEMATICS); DEFORMATION; ELASTOMERS; ELECTRIC BREAKDOWN; PLASTICS;

STABILITY;

EID: 84871406532     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2012.09.006     Document Type: Article

References (70)

1. J.E Adkins, and R.S. Rivlin Large elastic deformations of isotropic materials. IX. The deformation of thin shells Philos. Trans. R. Soc. A 244 1952 505 531
2. H. Alexander Tensile instability of initially spherical balloons Int. J. Eng. Sci. 9 1 1971 151 160
3. E.M. Arruda, and M. Boyce A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials J. Mech. Phys. Solids 41 1993 389 412
4. K. Bertoldi, and M. Gei Instabilities in multilayered soft dielectrics J. Mech. Phys. Solids 59 2011 18 42
5. D.K. Bogen, and T.A. McMahon Do cardiac aneurysms blow out? Biophys. J. 27 1979 301 316 (Pubitemid 9255589)
6. M.C. Boyce Direct comparison of the Gent and the Arruda-Boyce constitutive models of rubber elasticity Rubber Chem. Technol. 69 1996 781 785 (Pubitemid 126631683)
7. P. Brochu, and Q.B. Pei Advances in dielectric elastomers for actuators and artificial muscles Macromol. Rapid Commun. 31 2010 10 36
8. F. Carpi, S. Bauer, and D. De Rossi Stretching dielectric elastomer performance Science 330 2010 1759 1760
9. P. Chouinard, and J.S Plante Bistable antagonistic dielectric elastomer actuators for binary robotics and mechatronics IEEE/ASME Trans. Mechatron. 17 2012 857 865
10. D. De Tommasi, G. Puglisi, G. Saccomandi, and G. Zurlo Pull-in and wrinkling instabilities of electroactive dielectric actuators J. Phys. D 43 2010 325501
11. R. Diaz-Calleja, E. Riande, and M.J. Sanchis On electromechanical stability of dielectric elastomers Appl. Phys. Lett. 93 2008 101902
12. A. Dorfmann, and R.W. Ogden Nonlinear electroelasticity Acta Mech. 174 2005 167 183 (Pubitemid 40400710)
13. C.C. Foo, S.Q. Cai, S.J.A. Koh, S. Bauer, and Z.G. Suo Model of dissipative dielectric elastomers J. Appl. Phys. 111 2012 034102
14. J.W. Fox, and N.C. Goulbourne On the dynamic electromechanical loading of dielectric elastomer membranes J. Mech. Phys. Solids 56 2008 2669 2686
15. A.N. Gent A new constitutive relation for rubber Rubber Chem. Technol. 69 1996 59 61 (Pubitemid 126598076)
16. N.C. Goulbourne, E.M. Mockensturm, and M.I. Frecker A nonlinear model for dielectric elastomer membranes ASME J. Appl. Mech. 72 2005 899 906
17. N.C. Goulbourne, E.M. Mockensturm, and M.I. Frecker Electro-elastomers: large deformation analysis of silicone membranes Int. J. Solids Struct. 44 2007 2609 2626 (Pubitemid 46385995)
18. S.M. Ha, W. Yuan, Q.B. Pei, R. Pelrine, and S. Stanford Interpenetrating networks of elastomers exhibiting 300% electrically-induced area strain Smart Mater. Struct. 16 2007 280 287
19. T.H. He, X.H. Zhao, and Z.G. Suo Dielectric elastomer membranes undergoing inhomogeneous deformation J. Appl. Phys. 106 2009 083522
20. W. Hong Modeling viscoelastic dielectrics J. Mech. Phys. Solids 59 2011 637 650
21. R. Huang, and Z.G. Suo Electromechanical phase transition in dielectric elastomers Proc. R. Soc. A468 2012 1014 1040
22. J.S. Huang, T.F. Li, C.C. Foo, J. Zhu, D.R. Clarke, and Z.G. Suo Giant, voltage-actuated deformation of a dielectric elastomer under dead load Appl. Phys. Lett. 100 2012 041911
23. C. Keplinger, M. Kaltenbrunner, N. Arnold, and S. Bauer Rontgen's electrode-free elastomer actuators without electromechanical pull-in instability Proc. Natl. Acad. Sci. USA 107 10 2010 4505 4510
24. C. Keplinger, T.F. Li, R. Baumgartner, Z.G. Suo, and S. Bauer Harnessing snap-through instability in soft dielectrics to achieve giant voltage-triggered deformation Soft Matter 8 2012 285 288
25. W.W. Klingbeil, and R.T. Shield Some numerical investigations in empirical strain energy functions in the large axisymmetric extensions of rubber membranes Z. Angew. Math. Phys. 15 1964 608 629
26. G. Kofod, P. Sommer-Larsen, R. Kornbluh, and R. Pelrine Actuation response of polyacrylate dielectric elastomers J. Intell. Mater. Syst. Struct. 14 2003 787 793
27. S.J.A. Koh, C. Keplinger, T.F. Li, S. Bauer, and Z.G. Suo Dielectric elastomer generators: how much energy can be converted IEEE/ASME Trans. Mechatron. 16 2011 33 41
28. S.J.A. Koh, T.F. Li, J.X. Zhou, X.H. Zhao, W. Hong, J. Zhu, and Z.G. Suo Mechanisms of large actuation strain in dielectric elastomers J. Polym. Sci. B49 2011 504 515
29. M. Kollosche, J. Zhu, Z.G. Suo, and G. Kofod Complex interplay of nonlinear processes in dielectric elastomers Phys. Rev. E 85 2012 051801
30. R.D. Kornbluh, R. Pelrine, H. Prahlad, A. Wong-Foy, B. McCoy, S. Kim, J. Eckerle, and T. Low Dielectric elastomers: stretching the capabilities of energy harvesting MRS Bull. 37 2012 246 253
31. J.S. Leng, L.W. Liu, Y.J. Liu, K. Yu, and S.H. Sun Electromechanical stability of dielectric elastomers Appl. Phys. Lett. 94 2009 211901
32. B. Li, J.X. Zhou, and H.L. Chen Electromechanical stability in charge-controlled dielectric elastomer actuation Appl. Phys. Lett. 99 2011 244101
33. B. Li, H.L. Chen, J.H. Qiang, and J.X. Zhou A model for conditional polarization of the actuation enhancement of a dielectric elastomer Soft Matter 8 2012 311 317
34. P. Lochmatter, G. Kovacs, and M. Wissler Characterization of dielectric elastomers based on a visco-hyperelastic film model Smart Mater. Struct. 135 2007 748 757 (Pubitemid 46518075)
35. T.Q. Lu, J.S. Huang, C. Jordi, G. Kovacs, R. Huang, D.R. Clarke, and Z. Suo Dielectric elastomer actuators under equal-biaxial forces, uniaxial forces, and uniaxial constraint of stiff fibers Soft Matter 8 2012 6167 6173
36. Ma Z.Y.; Jerry I.S.; Jar W.; Lee.; Brian, A.N.; 1994. High field electrostrictive response of polymers. J. Polym. Sci. B 32, 2721-2731.
37. R.M. McMeeking, and C.M. Landis Electrostatic forces and stored energy for deformable dielectric materials J. Appl. Mech. 72 2005 581 590 (Pubitemid 41145959)
38. E.M. Mockensturm, and N. Goulbourne Dynamic response of dielectric elastomers Int. J. Non-Linear Mech. 41 2006 388 395 (Pubitemid 43199788)
39. I. Muller, and H. Struchtrup Inflating a rubber balloon Math. Mech. Solids 7 2002 569 577
40. A. Needleman Inflation of spherical rubber balloons Int. J. Solids Struct. 13 1977 409 421
41. A.N. Norris Comment on 'method to analyze electromechanical instability of dielectric elastomers' Appl. Phys. Lett. 92 2008 026101
42. B. O'Brien, T. McKay, E. Calius, S. Xie, and I. Anderson Finite element modelling of dielectric elastomer minimum energy structures Appl. Phys. A 94 2009 507 514
43. B.M. O'Brien, E.P. Calius, T. Inamura, S.Q. Xie, and I.A. Anderson Dielectric elastomer switches for smart artificial muscles Appl. Phys. A 100 2010 385 389
44. R. Pelrine, R. Kornbluh, and J. Joseph Electrostriction of polymer dielectrics with compliant electrodes as a means of actuation Sensors Actuators A: Phys. 64 1998 77 85 (Pubitemid 128388323)
45. R. Pelrine, R. Kornbluh, Q.B. Pei, and J. Joseph High-speed electrically actuated elastomers with strain greater than 100% Science 287 2000 836 839 (Pubitemid 30084322)
46. J.S. Plante, and S. Dubowsky Large-scale failure modes of dielectric elastomer actuators Int. J. Solids Struct. 43 2006 7727 7751 (Pubitemid 44634470)
47. J.-S. Plante, and S. Dubowsky On the performance mechanisms of dielectric elastomer actuators Sensors Actuators A 137 2007 96 109 (Pubitemid 46830881)
48. R.S. Rivlin, and D.W. Saunders Large elastic deformations of isotropic materials.7. Experiments on the deformation of rubber Philos. Trans. R. Soc. A 243 1951 251 288
49. S. Rosset, M. Niklaus, P. Dubois, and H.R Shea Large-stroke dielectric elastomer actuators with ion-implanted electrodes J. Microelectromech. Syst. 18 2009 1300
50. S. Rudykh, K. Bhattacharya, and G. deBotton Snap-through actuation of thick-wall electroactive balloons Int. J. Non-Linear Mech. 47 2012 206 209
51. R. Seydel Practical Bifurcation and Stability Analysis 2010 Springer New York
52. R.F. Shepherd, F. Ilievski, W. Choi, S.A. Morin, A.A. Stokes, A.D. Mazzeo, X. Chen, M. Wang, and G.M. Whitesides Multi-gait soft robot Proc. Natl. Acad. Sci. 108 2011 20400 20403
53. K.H. Stark, and C.G. Garton Electric strength of irradiated polythene Nature 176 1955 1225 1226
54. Z.G. Suo, X.H. Zhao, and W.H. Greene A nonlinear field theory of deformable dielectrics J. Mech. Phys. Solids 56 2008 467 486 (Pubitemid 351179810)
55. Z.G. Suo Theory of dielectric elastomers Acta Mech. Solidia Sin. 23 2010 549 578
56. C. Trimarco On the dynamics of electromagnetic bodies Int. J. Adv. Eng. Sci. Appl. Math. 1 2009 157 162
57. D.K. Vu, P. Steinmann, and G. Possart Numerical modelling of non-linear electroelasticity Int. J. Numer. Methods Eng. 70 2007 685 704 (Pubitemid 46730577)
58. H.M. Wang, S.Q. Cai, F. Carpi, and Z.G Suo Computational model of hydrostatically coupled dielectric elastomer actuators J. Appl. Mech. 79 2012 031008
59. A. Wingert, M.D. Lichter, and S. Dubowsky On the design of large degree-of-freedom digital mechatronic devices based on bistable dielectric elastomer actuators IEEE/ASME Trans. Mechatron. 11 2006 448 456 (Pubitemid 46405318)
60. M. Wissler, and E. Mazza Modeling of a pre-strained circular actuator made of dielectric elastomers Sensors Actuators A 120 2005 184 192 (Pubitemid 40537326)
61. M. Wissler, and E. Mazza Modeling and simulation of dielectric elastomer actuators Smart Mater. Struct. 14 2005 1396 1402 (Pubitemid 41720798)
62. B.X. Xu, R. Mueller, M. Classen, and D. Gross On electromechanical stability analysis of dielectric elastomer actuators Appl. Phys. Lett. 97 2010 162908
63. H.D. Yong, X.Z. He, and Y.H. Zhou Electromechanical instability in anisotropic dielectric elastomers Int. J. Eng. Sci. 50 2012 144 150
64. X.H. Zhao, W. Hong, and Z.G. Suo Electromechanical hysteresis and coexistent states in dielectric elastomers Phys. Rev. B 76 2007 134113
65. X.H. Zhao, and Z.G. Suo Method to analyze electromechanical stability of dielectric elastomers Appl. Phys. Lett. 91 2007 061921
66. X.H. Zhao, and Z.G. Suo Electrostriction in elastic dielectrics undergoing large deformation J. Appl. Phys. 104 2008 123530
67. X.H. Zhao, and Z.G. Suo Theory of dielectric elastomers capable of giant deformation of actuation Phys. Rev. Lett. 104 2010 178302
68. X.H. Zhao, S.J.A. Koh, and Z.G. Suo Nonequilibrium thermodynamics of dielectric elastomers Int. J. Appl. Mech. 3 2011 203 217
69. J. Zhu, S.Q. Cai, and Z.G. Suo Resonant behavior of a membrane of a dielectric elastomer Int. J. Solids Struct. 47 2010 3254 3262
70. J. Zhu, M. Kollosche, T.Q. Lu, G. Kofod, and Z.G Suo Two types of transition to wrinkles in dielectric elastomers Soft Matter 8 2012 8840 8846