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Electroelasticity of polymer networks

Cohen, Noy and Dayal, Kaushik and deBotton, Gal (2016) Electroelasticity of polymer networks. Journal of the Mechanics and Physics of Solids, 92 . pp. 105-126. ISSN 0022-5096. http://resolver.caltech.edu/CaltechAUTHORS:20161109-104637685

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Abstract

A multiscale analysis of the electromechanical coupling in elastic dielectrics is conducted, starting from the discrete monomer level through the polymer chain and up to the macroscopic level. Three models for the local relations between the molecular dipoles and the electric field that can fit a variety of dipolar monomers are considered. The entropy of the network is accounted for within the framework of statistical mechanics with appropriate kinematic and energetic constraints. At the macroscopic level closed-form explicit expressions for the behaviors of amorphous dielectrics and isotropic polymer networks are determined, none of which admits the commonly assumed linear relation between the polarization and the electric field. The analysis reveals the dependence of the macroscopic coupled behavior on three primary microscopic parameters: the model assumed for the local behavior, the intensity of the local dipole, and the length of the chain. We show how these parameters influence the directional distributions of the monomers and the hence the resulting overall response of the network. In particular, the dependences of the polarization and the polarization induced stress on the deformation of the dielectric are illustrated. More surprisingly, we also reveal a dependence of the stress on the electric field which stems from the kinematic constraint imposed on the chains.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jmps.2016.03.022DOIArticle
http://www.sciencedirect.com/science/article/pii/S0022509615303525PublisherArticle
ORCID:
AuthorORCID
Cohen, Noy0000-0003-2224-640X
Dayal, Kaushik0000-0002-0516-3066
deBotton, Gal0000-0003-3608-1896
Additional Information:© 2016 Elsevier Ltd. Received 16 December 2015, Revised 23 March 2016, Accepted 23 March 2016, Available online 28 March 2016. The work of Noy Cohen and Gal deBotton was supported by the Israel Science Foundation funded by the Israel Academy of Sciences and Humanities (Grant 1246/11). Kaushik Dayal thanks NSF Mechanics of Materials (CAREER 1150002), AFOSR Computational Mathematics (YI FA9550-12-1-0350), ARO Numerical Analysis (YI W911NF-12-1-0156), ONR Applied and Computational Analysis (N00014-14-1-0715), and Carnegie Mellon University College of Engineering for an Early Career Fellowship.
Funders:
Funding AgencyGrant Number
Israel Science FoundationUNSPECIFIED
Israel Academy of Sciences and Humanities1246/11
NSFCMMI-1150002
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0350
Army Research Office (ARO)W911NF-12-1-0156
Office of Naval Research (ONR)N00014-14-1-0715
Carnegie Mellon UniversityUNSPECIFIED
Record Number:CaltechAUTHORS:20161109-104637685
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161109-104637685
Official Citation:Noy Cohen, Kaushik Dayal, Gal deBotton, Electroelasticity of polymer networks, Journal of the Mechanics and Physics of Solids, Volume 92, July 2016, Pages 105-126, ISSN 0022-5096, http://dx.doi.org/10.1016/j.jmps.2016.03.022. (http://www.sciencedirect.com/science/article/pii/S0022509615303525)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71880
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Nov 2016 20:12
Last Modified:09 Nov 2016 20:12

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