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Estimation and validation of maxwell stress of planar dielectric elastomer actuators

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Abstract

In this paper, Maxwell stress of circular planar actuator at different applied voltages was estimated and then validated with the uniaxial compression test of three different dielectric elastomers (VHB, silicone and natural rubber). Pelrine’s equation was revisited to estimate Maxwell stress which causes the actuation in the planar direction. More precise and accurate estimation of Maxwell stress could be made in this work by considering variation of dielectric constant with respect to frequency and pre-strain. Estimated Maxwell stress was validated through (i) out-of-plane strain or thickness strain obtained from measured area strain considering constant volume deformation, and (ii) out-of-plane mechanical compressive test results. The estimated Maxwell stress agrees well with the corresponding experimental compressive stress values for different pre-straining cases considered in this work.

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References

  1. R. E. Pelrine, R. D. Kornbluh and J. P. Joseph, Electrostriction of polymer dielectrics with compliant electrodes as a means of actuation, Sensors and Actuators A, 64 (1998) 77–85.

    Article  Google Scholar 

  2. R. Shankar, T. K. Ghosh and R. J. Spontak, Dielectric elastomers as next-generation polymeric actuators, Soft Matter., 3 (2007)1116–1129.

    Article  Google Scholar 

  3. F. Carpi, D. D. Rossi, R. Kornbluh, R. Pelrine and P. S. Larsen, Dielectric elastomers as electromechanical transducers, First Ed., Elsevier, Oxford UK (2008).

    Google Scholar 

  4. M. Wissler, Modeling dielectric elastomer actuators, Ph.D. Thesis, Swiss Federal Institute of Technology (2007).

    Google Scholar 

  5. R. E. Pelrine, R. D. Kornbluh, Q. Pei and J. Joseph, Highspeed electrically actuated elastomers with strain greater than 100%, Science, 287 (2000) 836–839.

    Article  Google Scholar 

  6. G. Kofod, The static actuation of dielectric elastomer actuators-how does pre-stretch improve actuation?, J. Phys. D.-Appl. Phys. 41 (2008) 215405.

    Article  Google Scholar 

  7. M. Wissler and E. Mazza, Modeling of a pre-strained circu-lar actuator made of dielectric elastomers, Sensors and Actuators A, 120 (2005) 184–192.

    Article  Google Scholar 

  8. J. S. Plante, Dielectric elastomer actuators for binary robotics mechatronics, Ph.D Thesis, Massachusetts Institute of Technology (2006).

    Google Scholar 

  9. G. Kovacs P. Lochmatter and M. Wissler, An arm wrestling robot driven by dielectric elastomer actuators, Smart Mater. Struct., 16 (2) (2007) S306–S317.

    Article  Google Scholar 

  10. P. Brochu and Q. Pei, Advances in dielectric elastomers for actuators and artificial muscles, Macromol. Rapid Commun., 31 (1) (2010) 10.

    Article  Google Scholar 

  11. Z. Gao, A. Tuncer and A. M. Cuitino, Modeling and simulation of the coupled mechanical-electrical response of soft solids, International Journal of Plasticity, 27 (2011) 1459–1470.

    Article  MATH  Google Scholar 

  12. T. Q. Lu and Z. G. Suo, Large conversion of energy in dielectric elastomers by electromechanical phase transition, Acta Mechanica Sinica, 28 (4) (2011) 1106–1114.

    Article  MATH  Google Scholar 

  13. S. Akbari, S. Rosset and H. R. Shea, Improved electromechanical behavior in castable dielectric elastomer actuators, Applied Physics Letters, 102 (2013) 071906.

    Article  Google Scholar 

  14. C. J. Mistral, A. Sylvestre, S. Basrour and J.-J. Chaillout, Dielectric properties of polyacrylate thick lms used in sensors and actuators, Smart Mater. Struct., 19 (7) (2010) 075019.

    Article  Google Scholar 

  15. J. Qiang, H. Chen and B. Li, Experimental study on the dielectric properties of polyacrylate dielectric elastomer, Smart Mater. Struct., 21 (2) (2012) 025006.

    Article  Google Scholar 

  16. R. K. Sahu, B. Pramanik, K. Patra, S. Bhaumik, A. K. Pandey and D. K. Setua, Dissipation Factor of Acrylic Dielectric Elastomer -An Experimental Study, Journal of Nanoscience and Nanotechnology, 14 (10) (2014) 7439–7444.

    Article  Google Scholar 

  17. G. Kofod, P. Sommer-Larsen, R. Kornbluh and R. Pelrine, Actuation response of polyacrylate dielectric elastomers, Journal of Intelligent Material Systems and Structures, 14 (2003) 787–793.

    Article  Google Scholar 

  18. M. Wissler and E. Mazza, Electromechanical coupling of dielectric elastomer actuators, Sensors and Actuators A, 138 (2007) 384–393.

    Article  Google Scholar 

  19. V. L. Tagarielli, R. Hildick-Smith and J. E. Huber, Electromechanical properties and electrostriction response of a rubbery polymer for EAP applications, Int. Journal of Solids and Structures, 49 (2012) 3409–3415.

    Article  Google Scholar 

  20. M. Jerabek, Z. Major and R. W. Lang, Uniaxial compression testing of polymeric materials, Polymer Testing, 29 (2010) 302–309.

    Article  Google Scholar 

  21. S. Z. Qamar, M. Akhtar, T. Pervez and M. S. M. Al-Kharusi, Mechanical and structural behavior of a swelling elastomer under compressive loading, Materials and Design, 45 (2013) 487–496.

    Article  Google Scholar 

  22. R. K. Sahu, K. Sudharshan, K. Patra and S. Bhaumik, Evaluation of area strain response of dielectric elastomer actuator using image processing technique, Proc. of SPIE, 9056 (2014) 90562C-1.

  23. K. Junga, K. J. Kima and H. R. Choi, A self-sensing dielectric elastomer actuator, Sensors and Actuators A, 143 (2008) 343–351.

    Article  Google Scholar 

  24. A. Barnes, Q. Liu, G. Young and T. F. Lu, Evaluation of selected Dielectric Elastomer for use in an Artificial Muscle Actuator, Proceedings of the Australasian Conference on Robotics and Automation (2007) 1–9.

    Google Scholar 

  25. C. J. Mistral, S. Basrour, J. J. Chaillout and A. Bonvilain, A complete study of electroactive polymers for energy scavenging: modelling and experiments, Design, Test, Integration and Packaging of MEMS/ MOEMS Symposium (2007).

    Google Scholar 

  26. O. F. Daniela, B. Mihai, F. Vlad and V. Vasile, Compression modulus of elastomers, Buletinul institutului politehnic DIN IAŞI, Tomul LIX (LXIII), Fasc. 2 (2013) 157–166.

    Google Scholar 

  27. L. Meunier, G. Chagnon, D. Favier, L. Orge and P. Vacher, Mechanical experimental characterisation and numerical modelling of an unfilled silicone rubber, Polymer Testing, 27 (2008) 765–777.

    Article  Google Scholar 

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Correspondence to Karali Patra.

Additional information

Raj Kumar Sahu received his B. Tech. Degree from MIT Purnea in 2008 (Bihar, India), and his M. Tech. degree from National Institute of Technology Jamshedpur in 2010 (Jharkhand, India), and his Ph.D. degree from Indian Institute of Technology Patna in 2014 (Bihar, India). All degrees are in mechanical engineering. He is currently an assistant professor at Department of Mechanical Engineering, National Institute of Technology Raipur, India (Chhattisgarh, India). His research interests are focused on smart materials, materials characterization using modern techniques, material development, etc.

Karali Patra is an Assistant Professor in the Department of Mechanical Engineering, Indian Institute of Technology Patna (IIT Patna), Patna, India. He did his BTech, MTech and Ph.D. from BE College, Shibpur (IIEST, Shibpur), IIT Guwahati and IIT Kharagpur in 1997, 2003 and 2008, respectively. He worked as research associate at Robotics Research Center, Nanyang Technological University in 2007-2008 and as Reader in Manipal Institute of Technology, Manipal, India before joining IIT Patna in 2008. His current research interests are actuators and energy harvesting applications of electroactive polymers, bio-robotics and micro-manufacturing processes.

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Sahu, R.K., Saini, A., Ahmad, D. et al. Estimation and validation of maxwell stress of planar dielectric elastomer actuators. J Mech Sci Technol 30, 429–436 (2016). https://doi.org/10.1007/s12206-015-1247-y

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  • DOI: https://doi.org/10.1007/s12206-015-1247-y

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