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Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers

Cohen, Noy and Menzel, Andreas and deBotton, Gal (2016) Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 472 (2186). Art. No. 20150462. ISSN 1364-5021.

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Owing to the increasing number of industrial applications of electro-active polymers (EAPs), there is a growing need for electromechanical models which accurately capture their behaviour. To this end, we compare the predicted behaviour of EAPs undergoing homogeneous deformations according to three electromechanical models. The first model is a phenomenological continuum-based model composed of the mechanical Gent model and a linear relationship between the electric field and the polarization. The electrical and the mechanical responses according to the second model are based on the physical structure of the polymer chain network. The third model incorporates a neo-Hookean mechanical response and a physically motivated microstructurally based long-chains model for the electrical behaviour. In the microstructural-motivated models, the integration from the microscopic to the macroscopic levels is accomplished by the micro-sphere technique. Four types of homogeneous boundary conditions are considered and the behaviours determined according to the three models are compared. For the microstructurally motivated models, these analyses are performed and compared with the widely used phenomenological model for the first time. Some of the aspects revealed in this investigation, such as the dependence of the intensity of the polarization field on the deformation, highlight the need for an in-depth investigation of the relationships between the structure and the behaviours of the EAPs at the microscopic level and their overall macroscopic response.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Cohen, Noy0000-0003-2224-640X
deBotton, Gal0000-0003-3608-1896
Additional Information:© 2016 The Author(s). Published by the Royal Society. Received: 5 July 2015; Accepted: 25 January 2016; Published 24 February 2016. Authors' contributions: All authors carried out the research and the analysis jointly and N.C. was responsible for the programming. All authors gave final approval for publication. N.C. would like to thank the financial assistance of the Minerva Foundation. Additionally, partial financial support for this work was provided by the Swedish Research Council (Vetenskapsrdet) under grant no. 2011-5428 and is gratefully acknowledged by A.M. Finally, N.C. and G.dB. wish to acknowledge the support of the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities (grant no. 1246/11). We have no competing interests.
Funding AgencyGrant Number
Minerva FoundationUNSPECIFIED
Israel Science Foundation1246/11
Subject Keywords:dielectrics, electro-active polymers, electromechanical coupling, multi-scale analysis
Issue or Number:2186
Record Number:CaltechAUTHORS:20161109-102707078
Persistent URL:
Official Citation:Cohen, Noy, Andreas Menzel, and Gal deBotton. "Towards a physics-based multiscale modelling of the electro-mechanical coupling in electro-active polymers." Proc. R. Soc. A 472.2186 (2016): 20150462. Web. 09 Nov. 2016
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71876
Deposited By: Tony Diaz
Deposited On:09 Nov 2016 18:38
Last Modified:03 Oct 2019 16:12

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