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Axisymmetric wave propagation in finitely deformed dielectric elastomer tubes

Shmuel, Gal and deBotton, Gal (2013) Axisymmetric wave propagation in finitely deformed dielectric elastomer tubes. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences, 469 (2155). Art. No. 20130071 . ISSN 1364-5021. https://resolver.caltech.edu/CaltechAUTHORS:20130709-102025278

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Abstract

Wave propagation in hollow dielectric elastomer cylinders is studied. The quasi-static deformation of the tube owing to a combination of radial electric field and mechanical loading is determined first. Two combinations are accounted for, one at which the tube is free to expand in the axial direction, and another at which the tube is axially pre-stretched and restricted from elongating. Subsequently, longitudinal axisymmetric incremental motions are superposed on the underlying state. The governing equations in the tube and in the surrounding space are formulated and a numerical procedure is used in order to solve the resulting set of equations. The fundamental mode in the frequency spectrum is determined for thin, intermediate and thick wall tubes. The influences of the tube geometry, the mechanical pre-stretch and particularly the electric bias field are examined. An important observation is the ability to manipulate the propagation of the waves by adjusting the electromechanical bias field. This infers the use of dielectric elastomers in tubular configurations as active waveguides or isolators by a proper tuning of the electrostatic stimuli.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1098/rspa.2013.0071DOIArticle
http://rspa.royalsocietypublishing.org/content/469/2155/20130071PublisherArticle
ORCID:
AuthorORCID
deBotton, Gal0000-0003-3608-1896
Additional Information:© 2013 The Author(s). Published by the Royal Society. Received: 3 February 2013; Accepted: 28 March 2013; Published 24 April 2013. This work was supported by the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities (grant 1246/11).
Funders:
Funding AgencyGrant Number
Israel Science FoundationUNSPECIFIED
Israel Academy of Sciences and Humanities1246/11
Subject Keywords:dielectric elastomer; nonlinear electroelasticity; finite deformations; wave propagation; tube actuator; waveguide
Issue or Number:2155
Record Number:CaltechAUTHORS:20130709-102025278
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130709-102025278
Official Citation:Shmuel G, deBotton G. 2013 Axisymmetric wave propagation in finitely deformed dielectric elastomer tubes. Proc R Soc A 371: 20130071. http://dx.doi.org/10.1098/rspa.2013.0071
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39266
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Jul 2013 18:33
Last Modified:03 Oct 2019 05:05

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