Modeling of dielectric elastomers: Design of actuators and energy harvesting devices

Journal of the Mechanics and Physics of Solids

Volumn 61, Issue 10, 2013, Pages 2047-2066

  Henann, David L ^a   Chester, Shawn A ^b   Bertoldi, Katia ^a  

^a HARVARD UNIVERSITY   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Actuators; Dielectric elastomers; Energy harvesting devices; Finite element method; Large deformations

Indexed keywords

DIELECTRIC ELASTOMERS; ELECTRO-MECHANICAL TRANSDUCERS; ENERGY HARVESTING DEVICE; FINITE ELEMENT FORMULATIONS; LARGE DEFORMATIONS; MODELING CAPABILITIES; SIMULATION CAPABILITY; THERMODYNAMIC FRAMEWORK;

ACTUATORS; DEFORMATION; DESIGN; ELASTOMERS; ELECTRIC FIELDS; ENERGY HARVESTING; FINITE ELEMENT METHOD; OPTIMIZATION; PLASTICS;

MECHANICAL ACTUATORS;

EID: 84880925016     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2013.05.003     Document Type: Article

References (53)

1. Abaqus/Standard, 2010. Reference Manuals.
2. Y. Bar-Cohen Electroactive Polymer (EAP) Actuators as Artificial Muscles 2001 SPIE Press Bellingham, WA
3. K. Bertoldi, and M. Gei Instabilities in multilayered soft dielectrics J. Mech. Phys. Solids 59 2011 18 42
4. P. Brochu, and Q. Pei Advances in dielectric elastomers for actuators and artificial muscles Macromol. Rapid Commun. 31 2010 10 36
5. R. Bustamante, A. Dorfmann, and R.W. Ogden Nonlinear electroelastostatics a variational framework Z. Angew. Math. Phys. 60 2009 154 177
6. F. Carpi, A. Migliore, G. Serra, and D. De Rossi Helical dielectric elastomer actuators Smart Mater. Struct. 14 2005 1210 1216 (Pubitemid 41720780)
7. F. Carpi, and E. Smela Biomedical Applications of Electroactive Polymer Actuators 2009 John Wiley and Sons Chichester, UK
8. F. Carpi, D. de Rossi, R. Kornbluh, R. Pelrine, and P. Sommer-Larsen Dielectric Elastomers as Electromechanical Transducers 2008 Elsevier Oxford, UK
9. S.A. Chester, and L. Anand A thermo-mechanically coupled theory for fluid permeation in elastomeric materials application to thermally responsive gels J. Mech. Phys. Solids 59 2011 1978 2006
10. G. deBotton, L. Tevet-Deree, and E.A. Socolsky Electroactive heterogeneous polymers analysis and applications to laminated composites Mech. Adv. Mater. Struct. 14 2007 13 22 (Pubitemid 44423056)
11. E.A. de Souza Neto, D. Perić, M. Dutko, and D.R.J. Owen Design of simple low order finite elements for large strain analysis of nearly incompressible solids Int. J. Solids Struct. 33 1996 3277 3296 (Pubitemid 126377024)
12. A. Dorfmann, and R.W. Ogden Nonlinear electroelasticity Acta Mech. 174 2005 167 183 (Pubitemid 40400710)
13. A. Dorfmann, and R.W. Ogden Nonlinear electroelastostatics incremental equations and stability Int. J. Eng. Sci. 48 2010 1 14
14. A.C. Eringen, and G.A. Maugin Electrodynamics of Continua vol. I 1990 Springer New York
15. Z. Gao, A. Tuncer, and A.M. Cuitiño Modeling and simulation of the coupled mechanical-electrical response of soft solids Int. J. Plast. 27 2011 1459 1470
16. M. Gei, S. Roccabianca, and M. Bacca Controlling bandgap in electroactive polymer-based structures IEEE/ASME Trans. Mech. 16 2011 102 107
17. A.N. Gent A new constitutive relation for rubber Rubber Chem. Technol. 69 1996 59 61 (Pubitemid 126598076)
18. N. Goulbourne, E. Mockensturm, and M. Frecker A nonlinear model for dielectric elastomer membranes J. Appl. Mech. 72 2005 899 906 (Pubitemid 41630434)
19. M. Hossain, D.K. Vu, and P. Steinmann Experimental study and numerical modelling of VHB 4910 polymer Comput. Mater. Sci. 59 2012 65 74
20. R. Huang Electrically induced surface instability of a conductive thin film on a dielectric substrate Appl. Phys. Lett. 87 2005 151911
21. R.D. Kornbluh, R. Pelrine, Q. Pei, S. Oh, and J. Joseph Ultrahigh strain response of field-actuated elastomeric polymers Proc. SPIE 3987 2000 51 64
22. R.D. Kornbluh, R. Pelrine, H. Prahlad, A. Wong-Foy, B. McCoy, S. Kim, J. Eckerle, and T. Low From boots to buoys promises and challenges of dielectric elastomer energy harvesting Proc. SPIE 7976 2011 797605
23. 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
24. G.A. Maugin The method of virtual power in continuum mechanics application to coupled fields Acta Mech. 35 1980 1 70 (Pubitemid 10470813)
25. G.A. Maugin Continuum Mechanics of Electromagnetic Solids 1988 North Holland Amsterdam, The Netherlands
26. G.A. Maugin, J. Pouget, R. Drouot, and B. Collet Nonlinear Electromechanical Couplings 1992 John Wiley and Sons Chichester, UK
27. 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)
28. R.M. McMeeking, C.M. Landis, and S.M.A. Jimenez A principle of virtual work for combined electrostatic and mechanical loading of materials Int. J. Non-Linear Mech. 42 2007 831 838 (Pubitemid 47187842)
29. H.S. Park, Z. Suo, J. Zhou, and P.A. Klein A dynamic finite element method for inhomogeneous deformation and electromechanical instability of dielectric elastomer transducers Int. J. Solids Struct. 49 2012 2187 2194
30. R.E. Pelrine, R.D. Kornbluh, and J.P. Joseph Electrostriction of polymer dielectrics with compliant electrodes as a means of actuation Sens. Actuators A 64 1998 77 85 (Pubitemid 128388323)
31. R. Pelrine, R. Kornbluh, J. Joseph, R. Heydt, Q. Pei, and S. Chiba High-field deformation of elastomeric dielectrics for actuators Mater. Sci. Eng. C 11 2000 89 100 (Pubitemid 32066922)
32. R. Pelrine, R. Kornbluh, Q. Pei, and J. Joseph High-speed electrically actuated elastomers with strain greater than 100% Science 287 2000 836 839 (Pubitemid 30084322)
33. J.-S. Plante, and S. Dubowsky Large-scale failure modes of dielectric elastomer actuators Int. J. Solids Struct. 43 2006 7727 7751 (Pubitemid 44634470)
34. P. Ponte Castañeda, and M.H. Siboni A finite-strain constitutive theory for electro-active polymer composites via homogenization Int. J. Non-Linear Mech. 47 2012 293 306
35. S. Rudykh, and G. deBotton Instabilities of hyperelastic fiber composites micromechanical versus numerical analyses J. Elast. 106 2012 123 147
36. G. Shmuel, and G. deBotton Band-gaps in electrostatically controlled dielectric laminates subjected to incremental shear motions J. Mech. Phys. Solids 60 2012 1970 1981
37. Z. Suo, X. Zhao, and W.H. Greene A nonlinear field theory of deformable dielectrics J. Mech. Phys. Solids 56 2008 467 486 (Pubitemid 351179810)
38. V.L. Tagarielli, R. Hildick-Smith, and J.E. Huber Electro-mechanical properties and electrostriction response of a rubbery polymer for EAP applications Int. J. Solids Struct. 49 2012 3409 3415
39. R.A. Toupin The elastic dielectric J. Ration. Mech. Anal. 5 1956 849 915
40. R.A. Toupin A dynamical theory of elastic dielectrics Int. J. Eng. Sci. 1 1963 101 126
41. D.K. Vu, and P. Steinmann Theoretical and numerical aspects of the material and spatial settings in nonlinear electro-elastostatics Int. J. Frac. 147 2007 109 116 (Pubitemid 351454166)
42. 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)
43. Q. Wang, M. Tahir, L. Zhang, and X. Zhao Electro-creasing instability in deformed polymers experiment and theory Soft Matter 7 2011 6583 6589
44. Q. Wang, L. Zhang, and X. Zhao Creasing to cratering instability in polymers under ultrahigh electric fields Phys. Rev. Lett. 106 2011 118301
45. M. Wissler, and E. Mazza Modeling and simulation of dielectric elastomer actuators Smart Mater. Struct. 14 2005 1396 1402 (Pubitemid 41720798)
46. M. Wissler, and E. Mazza Mechanical behavior of an acrylic elastomer used in dielectric elastomer actuators Sens. Actuators A 134 2007 494 504 (Pubitemid 46349556)
47. Q.M. Zhang, V. Bharti, and X. Zhao Giant electrostriction and relaxor ferroelectric behavior in electron-irradiated poly(vinylidene fluoride-trifluoroethylene) copolymer Science 280 1998 2101 2104 (Pubitemid 28366199)
48. Q.M. Zhang, H. Li, M. Poh, F. Xia, Z.-Y. Cheng, H. Xu, and C. Huang An all-organic composite actuator material with a high dielectric constant Nature 419 2002 284 287
49. X. Zhao, W. Hong, and Z. Suo Electromechanical hysteresis and coexistent states in dielectric elastomers Phys. Rev. B 76 2007 134113
50. X. Zhao, and Z. Suo Electrostriction in elastic dielectrics undergoing large deformation J. Appl. Phys. 104 2008 123530
51. X. Zhao, and Z. Suo Method to analyze programmable deformation of dielectric elastomer layers Appl. Phys. Lett. 93 2008 251902
52. X. Zhao, S.J.A. Koh, and Z. Suo Nonequilibrium thermodynamics of dielectric elastomers Int. J. Appl. Mech. 3 2011 203 217
53. J. Zhou, W. Hong, X. Zhao, Z. Zhang, and Z. Suo Propagation of instability in dielectric elastomers Int. J. Solids Struct. 45 2008 3739 3750 (Pubitemid 351601774)