The curled actuated shapes of ionic polymer metal composites (IPMCs) are described within a nonlinear physics-based model of IPMC actuators. A key characteristic of the model is the refined, even if black box based, modeling of the relative permittivity of the IPMCs which strongly influences the actuation performances of the IPMC, when voltages higher than 1 V are involved. A varying-along-the-thickness relative permittivity is proposed to take into account the highly heterogeneous layers resulting from electrode deposition, where a charge redistribution occurs. Moreover, the presence of the metal electrodes has been considered as hampering the IPMCs' bending deformations, so reducing the actuation performances of the IPMC. A series of numerical tests have been planned and discussed to show the characteristics of the model; in particular, the model is shown to be strong enough to catch the not monotonic behavior of IPMCs, when back relaxation is manifested.

1.
M.
Shahinpoor
and
K. J.
Kim
,
Smart Mater. Struct.
14
,
197
(
2005
).
2.
R.
Tiwari
and
E.
Garcia
,
Smart Mater. Struct.
20
,
083001
(
2011
).
3.
J. Y.
Li
and
S.
Nemat-Nasser
,
Mech. Mater.
32
,
303
(
2000
).
4.
S.
Nemat-Nasser
,
J. Appl. Phys.
92
,
2899
(
2002
).
5.
S.
Galante
,
A.
Lucantonio
, and
P.
Nardinocchi
,
Int. J. Nonlinear Mech.
51
,
112
(
2013
).
6.
Y.
Cha
,
M.
Aureli
, and
M.
Porfiri
,
J. Appl. Phys.
111
,
124901
(
2012
).
7.
Y.
Cha
and
M.
Porfiri
,
Phys. Rev. E
87
,
022403
(
2013
).
8.
D.
Pugal
,
K. J.
Kim
, and
A.
Aabloo
,
J. Appl. Phys.
110
,
084904
(
2011
).
9.
T.
Wallmersperger
,
A.
Horstmann
,
B.
Kroplin
, and
D. J.
Leo
,
J. Intell. Mater. Syst. Struct.
20
,
741
(
2009
).
10.
A.
Lucantonio
,
P.
Nardinocchi
, and
L.
Teresi
,
J. Mech. Phys. Solids
61
,
205
(
2013
).
11.
Y.
Wu
and
S.
Nemat-Nasser
,
Proc. SPIE
5385
,
155
(
2004
).
12.
As it has been shown in Ref. 5 when mechanics is turned on, the complete thermodynamic processes have to be taken into account, to describe the full coupling between electrochemistry and mechanics.
13.
M.
Porfiri
,
Smart Mater. Struct.
18
,
015016
(
2009
).
14.
M. E.
Gurtin
,
An Introduction to Continuum Mechanics
(
Academic Press
,
1981
).
15.
P.
Nardinocchi
,
M.
Pezzulla
, and
L.
Placidi
,
J. Intell. Mater. Syst. Struct.
22
,
1887
(
2011
).
16.
See supplementary material at http://dx.doi.org/10.1063/1.4810919 for a simple discussion on the weak form and the FEM implementation of the PNP equations.
17.
T.
Wallmersperger
,
B. J.
Akle
,
D. J.
Leo
, and
B.
Kroplin
,
Compos. Sci. Technol.
68
,
1173
(
2008
).

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