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Multiscale instabilities in soft heterogeneous dielectric elastomers

Rudykh, S. and Bhattacharya, K. and deBotton, G. (2014) Multiscale instabilities in soft heterogeneous dielectric elastomers. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 470 (2162). Art. No. 20130618. ISSN 1364-5021. http://resolver.caltech.edu/CaltechAUTHORS:20140422-105630959

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Abstract

The development of instabilities in soft heterogeneous dielectric elastomers is investigated. Motivated by experiments and possible applications, we use in our analysis the physically relevant referential electric field instead of electric displacement. In terms of this variable, a closed form solution is derived for the class of layered neo-Hookean dielectrics. A criterion for the onset of electromechanical multiscale instabilities for the layered composites with anisotropic phases is formulated. A general condition for the onset of the macroscopic instability in soft multiphase dielectrics is introduced. In the example of the layered dielectrics, the essential influence of the microstructure on the onset of instabilities is revealed. We found that: (i) macroscopic instabilities dominate at moderate volume fractions of the stiffer phase, (ii) interface instabilities appear at small volume fractions of the stiffer phase and (iii) instabilities of a finite scale, comparable to the microstructure size, occur at large volume fractions of the stiffer phase. The latest new type of instabilities does not appear in the purely mechanical case and dominates in the region of large volume fractions of the stiff phase.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspa.2013.0618DOIArticle
http://rspa.royalsocietypublishing.org/content/470/2162/20130618PublisherArticle
ORCID:
AuthorORCID
Bhattacharya, K.0000-0003-2908-5469
deBotton, G.0000-0003-3608-1896
Additional Information:© 2013 The Author(s). Published by the Royal Society. Received: 17 September 2013. Accepted: 20 November 2013. Published 18 December 2013. This work was supported by the US-Israel Binational Science Foundation (grant no. 2004146).
Funders:
Funding AgencyGrant Number
Binational Science Foundation (USA-Israel)2004146
Subject Keywords:electroactive polymer, dielectric elastomer, composites, electroactive, instability, microstructure
Record Number:CaltechAUTHORS:20140422-105630959
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140422-105630959
Official Citation:S. Rudykh, K. Bhattacharya, and G. deBotton Multiscale instabilities in soft heterogeneous dielectric elastomers Proc. R. Soc. A February 8, 2014 470 2162 20130618; doi:10.1098/rspa.2013.0618 1471-2946
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45112
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 Apr 2014 18:17
Last Modified:09 Nov 2016 18:54

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