Permittivity of electroactive elastomers alters during deformation. The influence of the permittivity alterations on the electrostriction of elastomers is studied in the present work. Particularly, acrylic elastomer VHB 4910 is considered. A polarization–electric field constitutive theory is introduced accounting for the influence of mechanical deformations. The theory is used to analyze a free electrostriction of a thin elastomer plate. The elastic stress in the plate is described by various constitutive models including neo-Hookean, Yeoh, Arruda-Boyce, and Ogden. Results show that the permittivity alterations during mechanical deformation practically do not affect the process of electrostriction.

References

1.
Landau
,
L. D.
, and
Lifschitz
,
E. M.
, 1960,
Electrodynamics of Continuous Media
,
Pergamon
,
Oxford
.
2.
Uchino
,
K.
, 1997,
Piezoelectric Actuators and Ultrasonic Motors
,
Kluwer Academic
,
Boston
.
3.
Campbell
,
C. K.
, 1998,
Surface Acoustic Wave Devices
,
Academic
,
Boston
.
4.
Bar-Cohen
,
Y.
, ed., 2004,
Electroactive Polymer Actuators as Artificial Muscles
, 2nd ed.,
SPIE
,
Bellingham, Washington
.
5.
Carpi
,
F.
, and
Smela
,
E.
, eds., 2009,
Biomedical Applications of Electroactive Polymer Actuators
,
Wiley
,
Chichester, UK
.
6.
Chu
,
B. J.
,
Zhou
,
X.
,
Ren
,
K. L.
,
Neese
,
B.
,
Lin
,
M. R.
,
Wang
,
Q.
,
Bauer
,
F.
, and
Zhang
,
Q. M.
, 2006, “
A Dielectric Polymer With High Electric Energy Density and Fast Discharge Speed
,”
Science
,
5785
, pp.
334
336
.
7.
Jacobs
,
H. O.
, and
Whitesides
,
G. M.
, 2001, “
Submicrometer Patterning of Charge in Thin-Film Electrets
,”
Science
,
291
, pp.
1763
1766
.
8.
Pelrine
,
R.
,
Kornbluh
,
E.
,
Pei
,
Q.
, and
Joseph
,
J.
, 2000, “
High-Speed Electrically Actuated Elastomers With Strain Greater Than 100%
,”
Science
,
287
, pp.
836
839
.
9.
Shahinpoor
,
M.
,
Kim
,
K. J.
, and
Mojarrad
,
M.
, 2007,
Artificial Muscles
,
Taylor and Francis
,
New York
.
10.
Zhang
,
Q. M.
,
Bharti
,
V.
, and
Zhao
,
X.
, 1998, “
Giant Electrostriction and Relaxor Ferroelectric Behavior in Electron-Irradiated Poly (Vinylidene Fluoride-Trifluoroethylene) Copolymer
,”
Science
,
280
, pp.
2101
2104
.
11.
Warner
,
M.
, and
Terentjev
,
E. M.
, 2003,
Liquid Crystal Elastomers
,
Clarendon
,
Oxford, UK
.
12.
Eringen
,
A. C.
, 1963, “
On the Foundations of Electroelastostatics
,”
Int. J. Eng. Sci.
,
1
, pp.
127
153
.
13.
Eringen
,
A. C.
, and
Maugin
,
G. A.
, 1989,
Electrodynamics of Continua
,
Spriger
,
New York
.
14.
Hutter
,
K.
,
van de Ven
,
A. A. F.
, and
Ursescu
,
A.
, 2006,
Electromagnetic Field Matter Interactions in Thermoelastic Solids and Viscous Fluids
,
Springer
,
Berlin
.
15.
Kovetz
,
A.
, 2000,
Electromagnetic Theory
,
Oxford University Press
,
Oxford
.
16.
Pao
,
Y. H.
, 1978,
Electromagnetic Forces in Deformable Continua, Mechanics Today
,
Nemat-Nasser
,
Pitman, Bath, UK
.
17.
Toupin
,
R. A.
, 1956, “
The Elastic Dielectric
,”
J. Ration. Mech. Anal.
,
5
, pp.
849
914
.
18.
Dorfmann
,
A.
, and
Ogden
,
R. W.
, 2005, “
Nonlinear Electroelasticity
,”
Acta Mech.
,
174
, pp.
167
183
.
19.
McMeeking
,
R. M.
, and
Landis
,
C. M.
, 2005, “
Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
,”
J. Appl. Mech.
,
72
, pp.
581
590
.
20.
Suo
,
Z.
,
Zhao
,
X.
, and
Greene
,
W. H.
, 2008, “
A Nonlinear Field Theory of Deformable Dielectrics
,”
J. Mech. Phys. Solids
,
56
, pp.
467
486
.
21.
Zhao
,
X.
, and
Suo
,
Z.
, 2008, “
Electrostriction in Elastic Dielectrics Undergoing Large Deformations
,”
J. Appl. Phys.
,
104
, p.
123530
.
22.
Wissler
,
M.
, and
Mazza
,
E.
, 2007, “
Electromechanical Coupling in Dielectric Elastomer Actuators
,”
Sensor. Actuators A
,
138
, pp.
384
393
.
23.
Wissler
,
M.
, and
Mazza
,
E.
, 2007, “
Mechanical Behavior of an Acrylic Elastomer Used in Dielectric Elastomer Actuators
,”
Sensor. Actuators A
,
134
, pp.
494
504
.
24.
Plante
,
J.-S.
, and
Dubowsky
,
S.
, 2006, “
Large-Scale Failure Modes of Dielectric Elastomer Actuators
,”
Int. J. Solids Struct.
,
43
, pp.
7727
7751
.
You do not currently have access to this content.