Stability of anisotropic electroactive polymers with application to layered media

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 62, Issue 6, 2011, Pages 1131-1142

  Rudykh, Stephan ^a   deBotton, Gal ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Anisotropy; Dielectric elastomers; Electroactive polymers; Finite deformations; Non linear electroelasticity

Indexed keywords

DIELECTRIC ELASTOMERS; ELECTRO-ACTIVE POLYMERS; ELECTROELASTIC MODULI; ELECTROELASTICITY; ELECTROSTATIC EXCITATION; FINITE DEFORMATIONS; LAYERED MEDIA; PLANE STRAIN CONDITION; STRETCH RATIO;

ANISOTROPY; CONDUCTING POLYMERS; DIELECTRIC MATERIALS;

ANISOTROPIC MEDIA;

EID: 81455159001     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00033-011-0136-1     Document Type: Article

References (32)

1. Agoras M., Lopez-Pamies O., Castañeda P. P.: Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. J. Mech. Phys. Solids 57, 1828-1850 (2009).
2. Bar-Cohen Y.: EAP history, current status, and infrastructure. In: Bar-Cohen, Y. (eds) Electroactive Polymer (EAP) Actuators as Artificial Muscles, chapter 1, pp. 3-44. SPIE Press, Bellingham, WA (2001).
3. Bertoldi K., Boyce M. C.: Wave propagation and instabilities in monolithic and periodically structured elastomeric materials undergoing large deformations. Phys. Rev. B 78, 184107 (2008).
4. Bertoldi K., Gei M.: Instabilities in multilayered soft dielectrics. J. Mech. Phys. Solids 59, 18-42 (2011).
5. Bhattacharya K., Li J. Y., Xiao Y.: Electromechanical models for optimal design and effective behavior of electroactive polymers. In: Bar-Cohen, Y. (eds) Electroactive Polymer (EAP) Actuators as Artificial Muscles, chapter 12, pp. 309-330. SPIE press, Bellingham (2001).
6. Bustamante R.: Transversely isotropic non-linear electro-active elastomers. Acta Mech. 206, 237-259 (2009).
7. deBotton G.: Transversely isotropic sequentially laminated composites in finite elasticity. J. Mech. Phys. Solids 53, 1334-1361 (2005).
8. deBotton, G., Tevet-Deree, L.: Electroactive polymer composites-analysis and simulation. In: Armstrong W. D. (eds.) Smart Structures and Materials 2006: Active Materials: Behavior and Mechanics, vol. 6170 of Proceedings of SPIE, pp. 2401-2410, San Diego, CA (2006).
9. deBotton G., Tevet-Deree L., Socolsky E. A.: Electroactive heterogeneous polymers: analysis and applications to laminated composites. Mech. Adv. Mater. Struct. 14, 13-22 (2007).
10. Dorfmann A., Ogden R. W.: Nonlinear electroelasticity. Acta Mech. 174, 167-183 (2005).
11. Dorfmann A., Ogden R. W.: Nonlinear electroelastostatics: incremental equations and stability. Int. J. Eng. Sci. 48, 1-14 (2010).
12. Gei M., Roccabianca S., Bacca M.: Controlling band gap in electroactive polymer-based structures. IEEE-ASME Trans. Mechatron. 16, 102-107 (2011).
13. Geymonat G., Müller S., Triantafyllidis N.: Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity. Arch. Ration. Mech. Anal. 122, 231-290 (1993).
14. Huang C., Zhang Q. M., deBotton G., Bhattacharya K.: All-organic dielectric-percolative three-component composite materials with high electromechanical response. Appl. Phys. Lett. 84, 4391-4393 (2004).
15. Kofod G., Sommer-Larsen P., Kornbluh R., Pelrine R.: Actuation response of polyacrylate dielectric elastomers. J. Intell. Mater. Syst. Struct. 14, 787-793 (2003).
16. McMeeking R. M., Landis C. M.: Electrostatic forces and stored energy for deformable dielectric materials. J. Appl. Mech. Trans. ASME 72, 581-590 (2005).
17. Mockensturm E. M., Goulbourne N.: Dynamic response of dielectric elastomers. Int. J. Nonlinear Mech. 41, 388-395 (2006).
18. Nestorovic M. D., Triantafyllidis N.: Onset of failure in finitely strained layered composites subjected to combined normal and shear loading. J. Mech. Phys. Solids 52, 941-974 (2004).
19. O'Halloran A., O'Malley F., McHugh P.: A review on dielectric elastomer actuators, technology, applications, and challenges. J. Appl. Phys. 104, 071101 (2008).
20. Pelrine R., Kornbluh R., Joseph J., Heydt R., Pei Q.-B., A. C.: High-field deformation of elastomeric dielectrics for actuators. Mater. Sci. Eng. 11, 89-100 (2000).
21. Plante J.-S., Dubowsky S.: Large-scale failure modes of dielectric elastomer actuators. Int. J. Solids Struct. 43, 7727-7751 (2006).
22. Rudykh, S., deBotton, G.: Instabilities of hyperelastic fiber composites: micromechanical versus numerical analyses. J. Elast. doi: 10. 1007/s10659-011-9313-x (2011).
23. Rudykh, S., Bhattacharya, K., deBotton, G.: Snap-through actuation of thick-wall electroactive balloons. To appear in Int. J. Nonlinear Mech. doi: 10. 1016/j. ijnonlinmec. 2011. 05. 006 (2011).
24. Rudykh, S., Lewinstein, A., Uner, G., deBotton, G.: Giant enhancement of the electromechanical coupling in soft heterogeneous dielectrics. Submitted for publication. http://arxiv. org/abs/1105. 4217v1 (2011).
25. Shmuel G., deBotton G.: Out-of-plane shear of fiber composites at moderate stretch levels. J. Eng. Math. 68, 85-97 (2010).
26. Tevet-Deree, L.: Electroactive Polymer Composites-Analysis and Simulation. PhD thesis, Ben-Gurion University (2008).
27. Tian, L., Tevet-Deree, L., deBotton, G., Bhattacharya, K.: Dielectric elastomer composites. Submitted for publication (2010).
28. Toupin R. A.: The elastic dielectric. Arch. Ration. Mech. Anal. 5, 849-915 (1956).
29. Triantafyllidis N., Maker B. N.: On the comparison between microscopic and macroscopic instability mechanisms in a class of fiber-reinforced composites. J. Appl. Mech. Trans. ASME 52, 794-800 (1985).
30. Triantafyllidis N., Nestorovic M. D., Schraad M. W.: Failure surfaces for finitely strained two-phase periodic solids under general in-plane loading. J. Appl. Mech. Trans. ASME 73(3), 505-515 (2006).
31. Vu D. K., Steinmann P.: Nonlinear electro- and magneto-elastostatics: material and spatial settings. Int. J. Solids Struct. 44(24), 7891-7905 (2007).
32. Zhang S., Huang C., Klein R. J., Xia F., Zhang Q. M., Cheng Z.-Y.: High performance electroactive polymers and nano-composites for artificial muscles. J. Intell. Mater. Syst. Struct. 18, 133-145 (2007).