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Electrostatically tunable band gaps in finitely extensible dielectric elastomer fiber composites

Shmuel, Gal (2013) Electrostatically tunable band gaps in finitely extensible dielectric elastomer fiber composites. International Journal of Solids and Structures, 50 (5). pp. 680-686. ISSN 0020-7683. doi:10.1016/j.ijsolstr.2012.10.028.

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The structure of band-gaps in actuated fiber-reinforced dielectric elastomer composites with square lattice is studied. The constitutive behaviors of the phases are characterized by an augmented Gent strain energy density function, to account for the strain-hardening of the elastomer. The finite static deformation of the composite is calculated when subjected to an electric bias field along the fibers. The anti-plane mode of small electroelastic waves propagating in the material deformed configuration is determined by means of a proper adjustment of the plane-wave expansion method. The resultant eigenvalue problem supplies the dispersion relation from which bands of prohibited frequencies are determined. The band structures of exemplary composites with circular fibers are evaluated for various values of the bias electric field. The dependency on the properties and volume fractions of the phases, and most importantly the bias electric field is explored. It is revealed how enhancing the intensity of the electrostatic field widens the bands and shifts them toward higher frequencies. These results suggest the use of dielectric elastomer composites as control mechanisms for electroelastic wave propagation by properly tuning the electrostatic excitation.

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Additional Information:© 2012 Elsevier Ltd. Received 8 August 2012; Received in revised form 24 October 2012; Available online 12 November 2012. I am grateful to Prof. G. deBotton for his comments on this work. I also wish to thank Prof. M. Mond for helpful discussions.
Subject Keywords:Dielectric elastomers; Wave propagation; Band-gap; Phononic crystal; Plane-wave expansion method; Finite deformations
Issue or Number:5
Record Number:CaltechAUTHORS:20130221-093046130
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Official Citation:Gal Shmuel, Electrostatically tunable band gaps in finitely extensible dielectric elastomer fiber composites, International Journal of Solids and Structures, Volume 50, Issue 5, 1 March 2013, Pages 680-686, ISSN 0020-7683, 10.1016/j.ijsolstr.2012.10.028.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37043
Deposited By: Tony Diaz
Deposited On:22 Feb 2013 23:50
Last Modified:09 Nov 2021 23:26

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