ARTICLE
Received 26 Oct 2015 | Accepted 21 Jan 2016 | Published 23 Feb 2016
DOI: 10.1038/ncomms10781
OPEN
Localized soft elasticity in liquid crystal elastomers
Taylor H. Ware1,2, John S. Biggins3, Andreas F. Shick1, Mark Warner3 & Timothy J. White1
Synthetic approaches to prepare designer materials that localize deformation, by combining
rigidity and compliance in a single material, have been widely sought. Bottom-up approaches,
such as the self-organization of liquid crystals, offer potential advantages over top–down
patterning methods such as photolithographic control of crosslink density, relating to the ease
of preparation and fidelity of resolution. Here, we report on the directed self-assembly of
materials with spatial and hierarchical variation in mechanical anisotropy. The highly
nonlinear mechanical properties of the liquid crystalline elastomers examined here enables
strain to be locally reduced 415-fold without introducing compositional variation or other
heterogeneities. Each domain (Z0.01 mm2) exhibits anisotropic nonlinear response to load
based on the alignment of the molecular orientation with the loading axis. Accordingly, we
design monoliths that localize deformation in uniaxial and biaxial tension, shear, bending and
crack propagation, and subsequently demonstrate substrates for globally deformable yet
locally stiff electronics.
1 Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 45433, USA. 2 Department of
Bioengineering, The University of Texas at Dallas, Richardson, Texas 75080, USA. 3 Cavendish Laboratory, Cambridge University, Cambridge CH3 0HE, UK.
Correspondence and requests for materials should be addressed to T.J.W. (email:
[email protected]).
NATURE COMMUNICATIONS | 7:10781 | DOI: 10.1038/ncomms10781 | www.nature.com/naturecommunications
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NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10781
ynthesizing materials or material systems (composites) with
programmable variation of mechanical properties such as
stiffness, stretchability or strength coupled to functional
utility such as actuation, damping or optical activity yield
multifunctional materials designed a priori for both structural
and functional utility. In natural systems, such as the interface of
bone to tendon, material structure and compositions are
programmed to improve or extend function1. A number of
strategies have been explored to enable this control in synthetic
materials. A considerable majority of prior efforts have employed
top–down methods to locally programme stiffness via material
heterogeneity2–4. The assimilation of functional performance
into a monolithic device of a single composition would reduce
or remove the need to add functional mechanisms and their
accompanying assemblies and diminish the need for structural
inclusions to increase or decrease stiffness. One of the first
steps towards the preparation of functional material systems
are hybrid devices, such as flexible electronics. In the recent
literature a number of approaches for preparation of ruggedized
flexible devices have been reported primarily focusing on the
general strategy of preparing elastomeric composites with
programmed mechanics. The primary method of programming
variation (spatial heterogeneity) in the mechanical response of
these flexible and stretchable composites has been to vary either
composition or structure. For example, magnetically oriented
anisotropic particles have been shown to control tensile, wear and
shear properties5–7. Further, top–down methodologies such as
photolithography have been employed to pattern crosslink
density or islands of high-performance polymers within an
elastomeric matrix to tune both the local and global response to
an applied load2,8. These advances have been accompanied by
demonstrated utility in realizing globally compliant and locally
stiff stretchable electronics. Anisotropy generated by localizing
the self-assembly of materials such as liquid crystal polymer
networks (LCNs) or elastomers (LCEs) could offer potential
benefits afforded by improvements in resolution and ease of
fabrication.
LCNs and LCEs have been widely studied in part due to the
correlation of the molecular orientation to mechanical properties
and ultimately to a stimulus response. The distinguishing feature
of LCNs from LCEs is crosslink density, which accordingly affects
the glass transition temperature, the magnitude of the order
induced changes when subjected to a stimulus, and the response
to a mechanical load as detailed in a recent review9. Glassy LCN
have been shown to have anisotropic mechanical properties but
tend to fail at very small strains (43–10%) limiting the utility of
these films for applications that require large deformation to
load9. By comparison, LCEs are capable of large, anisotropic and
nonlinear deformations similar to that of many biological
materials10. When an LCE is deformed along the alignment
direction (nematic director) the materials exhibit a classical elastic
response. However, if the material is deformed orthogonally to
the alignment direction (nematic director) a comparatively ‘soft’
elastic response has been reported, in which the material stretches
at near zero stress as it simply adopts another equivalent state
with a different alignment. This phenomenon in LCEs is
commonly referred to as ‘soft elasticity’ and attributed to the
reorientation of the nematic director of the LCE to align along
the direction of the stretch. The ability to localize or pattern the
director within LCEs could yield strain-patterning in chemically
homogenous monoliths11.
LCEs have historically been prepared by methods employing
mechanical or magnetic alignment12–14. The complex alignment
of LCEs by mechanical or magnetic fields is inherently limited in
spatial resolution, and nearly all prior examinations of soft
elasticity have been undertaken in samples prepared with uniaxial
2
alignment of the director. In recent years, optical alignment of
surface layers has been used to spatially control the local
orientation of LCNs (refs 15,16). The resulting monoliths have
been examined for their potential utility as complex sensors
and actuators. Recently a synthetic method and processing
technique was reported to prepare arbitrarily patterned LCEs,
using photoalignment of a photochromic surface coating and the
ability of certain formulations of liquid crystalline monomers to
self-assemble to these treated surfaces17. In the work presented
here, we use this methodology to functionally grade the order
of LCEs to design the global mechanical properties of a
polymeric sample of homogenous composition. Leveraging the
distinctive soft elastic properties of the materials, we demonstrate
that self-assembly of LCEs can yield spatially localized
mechanical responses in tension, biaxial tension, bending and
crack management. Programmed monolithic substrates of
homogenous composition are prepared that are globally
stretchable and locally stiff elucidating a new strategy to yield
designer substrates for flexible devices.
Results
Patterning of heterogeneous monoliths. The LCEs examined
here were prepared within alignment cells with control surfaces
patterned through point-by-point photoalignment of an
azobenzene dye that is locally oriented at the molecular level by
exposure to focused linearly polarized blue light (Fig. 1a). These
ordered polymers, which self-assemble according to the patterns
blueprinted into the command surfaces, are synthesized through
a two-step synthetic procedure. Briefly, the monomer precursors
are filled into the patterned alignment cell. The cell consists of
two pieces of glass each coated with the molecularly aligned
azobenzene dye. These pieces of glass are glued together with a
predefined gap between the inner surfaces of 50 mm. After filling,
a slow chain-extension reaction proceeds to yield end-capped
diacrylate oligomers. On completion of the chain-extension
reaction, the materials are subsequently photopolymerized
(Fig. 1b) yielding a lightly crosslinked elastic solid where the
order is permanently trapped. The order parameter of this aligned
material is near 0.5 (ref. 16). This reaction scheme enables
complex alignment of the nematic director to produce LCEs with
main-chain mesogens. Within an area of uniform alignment,
the polymer can be considered to be transversely isotropic, as the
nematic order is uniaxial, analogous to fiber-reinforced polymer
composites or many biological connective tissues18,19. Along the
alignment direction (nematic director), the properties of the
polymer such as modulus, strain-to-failure and coefficient of
thermal expansion are distinct from the orthogonal axes.
Depending on the polarization of the light used to pattern the
command surface the director can be varied within a film. Under
load, the director orientation with respect to the loading axis
controls the global stress–strain response of the film (Fig. 1c). The
stress–train behaviour of uniformly aligned LCEs prepared with
this method are presented in Fig. 1c in which the alignment of the
nematic director is varied from parallel (0°) to intermediate (30°,
45°, 60°) as well as perpendicular (90°) to the gauge length. For
orientations of the director that are not aligned with the load, a
highly nonlinear stress–strain response is observed. After the
initial linear behaviour, a semi-soft plateau is observed. The
length of this plateau increases while the slope of the plateau
decreases, as the initial director is increasingly misaligned from
the loading axis. It should be noted that in addition to stress along
the principal axes, the contribution of in-plane shear can also be
observed, as discussed below. The variations in the shapes of the
semi-soft plateaus evident in Fig. 1d can be attributed to director
reorientation. An azimuthal scan of wide angle X-ray scattering
NATURE COMMUNICATIONS | 7:10781 | DOI: 10.1038/ncomms10781 | www.nature.com/naturecommunications
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NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10781
b
a
c
d
28
30°
O
O
O
24
O
Stress (MPa)
O
O
H2N
O
O
O
O
Command
surface
0°
20
45°
60°
16
12
90°
8
4
0
0
e
f
100
100
Initial
Intensity (a.u.)
50
Strain (%)
Strained
50
0
0
60 120 180 240 300 360
Azimuthal angle (°)
h
g
i
y
Elastic n || x
Soft elastic n ⊥ x
x
xx
0%
10%
15%
5 mm
Figure 1 | Patterned order in liquid crystal elastomers functionally grades mechanical properties. A photoaligned command surface (a) is used to
spatially control the orientation of a main-chain LCE (b). Global mechanical properties are highly sensitive to the orientation of the nematic director (c) with
respect to the loading axis (d). On loading a liquid crystal elastomer perpendicular to the nematic director (e), reorientation is observed. This reorientation
has been confirmed with WAXS (f). By spatially patterning the order of an LCE the local strain environment can be controlled. Using point-by-point
alignment, arbitrary anisotropic modulus profiles can be written (g,h). On loading, this complex monolith uniaxially strain is localized to soft elastic regions,
as measured by 2D differential image correlation (i). Crossed arrows indicate the orientation of the polarizer and analyser for photographs. Scale bar, 5 mm.
confirms the expected 90° rotation of the director at a strain of
120%, just before failure, is shown in Fig. 1e,f. Utilizing the ability
to spatially control the orientation of the director it was
hypothesized that under uniaxial tension, strain could be
localized to regions where the director is misaligned from the
loading axis.
Designing local mechanical response. A schematic of a film with
an arbitrary domain pattern is shown in Fig. 1g,h. The soft
elastic (90°) regimes are aligned perpendicularly to the load while
the elastic domains (0°) are aligned along the load axis. After
fabrication, the pattern is visible between crossed polarizers. Both
elastic and soft elastic domains are optically equivalent and dark
between crossed polarizers, but a bright boundary between the
two domains is visible. Using two-dimensional (2D) digital image
correlation (DIC), the strain on the sample under tension can be
mapped (Fig. 1i). The strain evident in the patterned domains
differs by a factor of 5 (referred to hereafter as strain contrast
ratio) with the soft elastic regions deforming and the elastic
regions remaining relatively unchanged (Supplementary Fig. 1).
To design a functional and spatially patterned elastomeric
substrate two factors must be controlled, the macroscopic
orientation of the sample (that is, what fraction of the elastomer
domains are oriented in which direction) and the geometry of the
sample (that is, how are the domains arranged spatially). Here we
focus on the limit where the continuous domain are misaligned
with the loading axis to enable spatial control of strain.
Binary control of the director orientation (along or
perpendicular to the loading axis) can be used to spatially control
uniaxial tensile strain. While the modulus differs by a factor of 6
in the linear elastic regime of the stress–strain curve, the stress
plateau can greatly increase the contrast in strains at large
deformations in the soft elastic regime. Figure 2a illustrates this
concept in a sample prepared with three domains, two elastic
domains at the extremes and one soft elastic domain in the
central region of the LCE. On deformation, the strain is largely
contained in the central soft elastic region (Fig. 2b,c). Using DIC,
a strain contrast ratio of approximately 5 is observed at 10%
strain (Fig. 2d). On further deformation the nonlinear behaviour
leads to a strain contrast ratio of greater than 15 at 60% global
strain (Fig. 2e). This corresponds to greater than100% strain in
the soft elastic domain where reorientation of the director is
observed. This highly nonlinear behaviour is characteristic of
LCEs exhibiting soft elasticity. Soft elastic domains can also be
patterned on a much smaller scale. Due to the nature of the
optically directed self-assembly technique used to fabricate these
LCEs, the localization of strain is not limited to relatively large
domains (B10 mm2). Demonstrating this ability, a pattern of 60,
0.25 mm2 (Fig. 2f) square domains were patterned into a single
NATURE COMMUNICATIONS | 7:10781 | DOI: 10.1038/ncomms10781 | www.nature.com/naturecommunications
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NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10781
a
b
c
d
e
Local strain (%)
120
11%
x
80
60
40
20
1%
0
xx
y
Elastic segment 1
Elastic segment 2
Soft elastic segment
Homogeneous sample
100
0
20
40
60
Global strain (%)
g
f
h
i
j
60
Local strain (%)
80%
0%
Elastic
Soft elastic
40
20
0
xx
0
l
m
n
60
o
2%
- 2%
xy
Shear strain (%)
k
20
40
Global strain (%)
↑Tensile deformation
2.0
1.5
1.0
0.5
0.0
–0.5
–1.0
–1.5
–2.0
0
2
4
6
8
Sample dimension (mm)
Figure 2 | Both extensional and shear strain can be controlled in 2D. The desired pattern of modulus is indicated in a,f and k when loaded along the long
axis of the film. Black pixels correspond to elastic regions while white pixels correspond to soft elastic regions. Grey scale values are indicative of angle of
the director. Images of the fabricated LCE film with the desired director pattern (b,g,l) and after straining (c,h,m) between crossed polarizers. 2D DIC is
used to map the strain of the sample (d,i,n) at 12% global tensile strain. For patterns with only elastic and soft elastic regions (d,i) extensional strain is
shown. Shear strain is shown for n. Strain is plotted on the undeformed sample grid. The local extensional (e,j) and shear (o) strains for these
heterogeneous films are shown for distinct director orientations as a function of global extensional strain. Error bars (j) indicate s.d. of n ¼ 5 regions of the
same director orientation. Shear strains (o) are shown along the sample lengths at 4, 8 and 12% global tensile strain. Crossed arrows indicate the
orientation of the polarizer and analyser for photographs. Scale bars, 6 mm.
film. The soft elastic domains preferentially deform as evident in
the DIC analysis as well as optical characterization (Fig. 2g–j). It
should be noted that this spatially controlled deformation also
leads to spatially controlled changes in thickness due to the
Poisson’s effect (Supplementary Fig. 2). As shown in Fig. 1,
deformation perpendicular to the director induces reorientation
of the director. After releasing the load, a slow recovery is
observed at room temperature. This mechanical hysteresis is
dependent on the ambient temperature. For instance, recovery
occurs rapidly after heating to 50 °C.
Thus far we have demonstrated control of strain along the
loading axis (exx ) and as well as strain orthogonal to the loading
axis (eyy and ezz ; see also Supplementary Figs 1 and 2). As indicated
by the planar strain tensor shown in equation (1), control of shear
strains, exy, enables full control
exx exy
eðx; yÞ ¼
; exy ¼ eyx
ð1Þ
eyx eyy
of strain in 2D. Shear strains arise in transversely isotropic materials
4
when the loading direction is not parallel or perpendicular to the
preferred axis, in this case, the liquid crystal director. Utilizing the
continuous control of director orientation provided through optical
patterning, we introduced domains with director orientations at
±45° to the loading axis (Fig. 2k,l). On deformation, strain is
split between the principal and shear planes. The result is an
off-axis deformation where the sign of the shear strain depends on
the handedness of the reorientation of the director, which is
controlled by the sign of the angle the director orientation (Fig. 2m)
makes with the loading axis. As the different domains have the
same magnitude of intermediate orientation from the loading axis,
little contrast exists in tensile strain or magnitude of shear strain.
However, the sign of the shear strain is opposite for the two distinct
domain types (Fig. 2n,o). Control over the magnitude and
directionality of shear strain in viscoelastic materials enables
controllable damping and is an area of ongoing interest.
Designing substrates for stretchable electronics. The vast
majority of materials used in conventional electronic devices fail
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NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10781
at strains orders of magnitude lower than the failure strain of
elastomers8. As a result, electrical components in traditional
geometries fail when built on substrates that undergo large and
dynamic strains. This has motivated significant recent attention
focused on improving the stretchability of electronic materials as
well as strategies to localize strain within compliant materials.
By coating patterned LCE films with a conducting layer, such as
thin film silver, a spatially variable strain evolves in the coating
under load. In Fig. 3a,b, optical micrographs show the interface
between soft elastic and elastic domains before and after
deformation. After deformation, the soft elastic domain has
deformed considerably leading to visible failure of the Ag coating.
Qualitatively the coating remains unchanged in the elastic
domain. To elucidate this response, the resistance was
measured along the length of the domain as a function of
deformation in patterned LCE films coated in Ag. In the soft
elastic segment of the sample, resistance increases more than
30-fold over 30% global strain before failing electrically (Fig. 3c).
Over the same amount of global strain, the resistance of the
coating in the elastic segment only increases threefold, and only
increases slightly further before the sample fails mechanically at
60% global strain. To further improve strain insensitivity, a film
of silver nanowires was deposited to serve as a ductile conductor.
On deformation the soft elastic region increases precipitously in
resistance as a function of strain, as has been previously
reported20, while the elastic domains remain largely unchanged
(Supplementary Fig. 3). This order-controlled resistance can be
indirectly measured using infrared imaging while passing current
along the long axis of the sample (Fig. 3d). Samples with only a
single-domain show relatively uniform temperature profiles
across the film. In contrast, a patterned sample with alternating
a
b
c
d
35
Normalized resistance (Ω/Ω)
elastic and soft elastic domains shows a periodic temperature
profile, similar to several resistors in series. Higher resistance
within soft elastic domains leads to localized resistive heating, as
the current remains equal for all domains.
Flexible and stretchable devices may not be subjected to simple
uniaxial tension, but likely are required to continue functioning
through a wide variety of deformations. Here we show that LCEs
can be designed to localize strain in a variety of relevant loading
conditions. Buckling of a doubly fixed beam leads to tensile and
compressive stress along the loading axis. The bending stiffness
can be readily controlled, for example by patterning a sample
with two domains (Supplementary Fig. 6) with the director along
and perpendicular to the long axis of the beam. On buckling, a
uniformly oriented sample exhibits classic Euler buckling (Fig. 4a)
while the patterned LCE exhibits a deformed arch (Fig. 4b).
The domain aligned parallel to the loading axis exhibits a radius
of curvature 7.5 times larger than the domain aligned
perpendicularly to the load. Furthermore, this anisotropy controls
deformations in complex loading environments in the plane, such
as the direction of (Supplementary Fig. 4) and energy required for
(Supplementary Fig. 5) crack propagation. As the local ordering
of the planarly aligned nematic is only one-dimension, additional
control is required to modulate response to biaxial loading
environments. In fiber-reinforced composite materials,
macroscopic anisotropy is often reduced by joining laminates
with different orientations into a single part. Here we mimic these
laminates by using the twisted nematic orientation where the
director rotates by 90° through the thickness of the material at
the molecular scale. In Fig. 4c,d, we fabricate and biaxially load a
square cross. The intersection of the cross has a twisted nematic
alignment while the arms of the cross are uniaxially aligned
Electrical failure
30
25
Uniform
20
15
Soft elastic
Mechanical failure
10
Patterned
n
n
n
n
Elastic
5
0
0
10
20
30
40
50
60
24 °C
29 °C
Global strain (%)
Figure 3 | Patterned director orientation isolates strain–sensitive components for stretchable electronics. A transmission optical micrograph of the
silver coated LCE before (a) after deformation (b) showing clear failure of the silver coating in the soft elastic regime. Scale bar, 1 mm. Resistance for a film
of silver as a function of global strain is largely unchanged in domains where the director lies along the loading axis. Resistance increases by 30-fold in
domains where the director lies perpendicular to the loading axis (c). Error bars indicate s.d. of n ¼ 3 samples. Infrared images of a uniform (top) and
patterned (bottom) LCE film coated with silver nanowires, strained to 10% global strain and with an applied voltage along the long axis of the film (d).
Patterned director orientation leads to patterned resistance in the film. Scale bar, 5 mm. Crossed arrows indicate the orientation of the polarizer and
analyser for photographs.
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NATURE COMMUNICATIONS | DOI: 10.1038/ncomms10781
a
b
c
d
Figure 4 | Patterned director orientation can be used to control
multiaxial deformation. Buckling of a rectangular beam with uniaxial
alignment (a) and patterned alignment (b) leads to the formation of
symmetric and asymmetric arches, respectively. Bending is greatly reduced
in areas where the director is oriented along the bending stress (along the
beam long axis). Biaxially elastic behavior can be combined with local soft
elasticity introduced using twisted nematic regions. A square cross with
twisted nematic centre (c) deforms preferentially in the arms of the cross
(d) under biaxial tension. Crossed arrows indicate the orientation of the
polarizer and analyser for photographs. Scale bars, 2 mm.
perpendicularly to the load directions (Supplementary Fig. 7).
The result is a quasi-isotropic elastic domain that is protected
from strain while the arms of the cross deform in a soft elastic
manner. Previously described methods such as patterned crosslink density provide only isotropic regions of distinct modulus.
Varying twist angle in aligned LCEs enables designs previously
used in isotropic materials with patterned crosslink density to
also be incorporated into these monolithic materials. This
combination of spatial and hierarchical control of the stress–
strain response of a monolith may enable a wide variety of
engineered stress–strain responses on the global and local scale.
Discussion
Here, we demonstrate the ability to locally pattern molecular
orientation in LCEs as a way to functionally grade the local and
global response of these flexible materials to a mechanical load.
Deformations within the plane, tension, shear and crack propagation, along with out-of-plane deformations, such as buckling, can
be controlled by designing the director orientation of the film. In
tension, the magnitude of strain can be designed into arbitrary
patterns with contrast of strain greater than 15 between elastic and
soft elastic domains. Critically, this occurs within a monolith of
homogenous composition and structure. We utilize these complex
monoliths to design a globally stretchable conductor with locally
protected domains. By directing molecular orientation in an
elastomeric film, engineers now have an additional tool to
programme the mechanical response of polymer substrates for
mechanically sensitive devices. This technique might also be
combined with patterned crosslink density or patterned reinforcement to further advance the design of heterogeneous materials.
by BASF. Silver nanowires were purchased from Seashell Technologies at a
concentration of 5 mg ml 1 in isopropanol. Average nanowire dimensions ranged
from 20 to 50 mm in length and 120 to 150 nm in diameter. All chemicals were used
as received without further purification or modification unless otherwise noted.
Optical patterning of liquid crystal cells. Photoalignment of an azobenzene dye
(PAAD-22, Beam Co.) was used to pattern director orientation in liquid crystal
cells. Methods used here were previously described17. Briefly, plasma-cleaned glass
slides were coated with the photosensitive dye using spin coating from a 0.33-wt%
solution in dimethylformamide. The glass was then baked for 10 min at 100 °C to
remove remaining solvent. Sets of two dye coated glass slides (38 25 mm2) were
then exposed to point-by-point irradiation of linearly polarized 445 nm light over
an area of 0.01 mm2. This step is then repeated across the sample using a custombuilt optical patterning setup. The dye aligns perpendicularly to the electric field
vector of the incoming light. These two patterned surfaces were then spin coated
with a layer of RM 257 (Merck), which is subsequently polymerized to render the
alignment permanent. These two slides are then aligned and glued together using a
two-part epoxy mixed with 50-mm-diameter glass spheres.
LCE synthesis. The liquid crystal cells are then used to align a nematic mixture of
monomers that can be polymerized into a LCE. A near stoichiometric mixture
of RM 82 (Synthon), a nematic diacrylate and n-butylamine (Fig. 1b; Aldrich) with
1.5 wt% I-369 (Ciba), a radical photoinitiator, are mixed in a scintillation vial. The
resulting mixture exhibits a broad nematic phase. The monomer solution is filled
into the patterned liquid crystal cell using capillary action at 80 °C. This mixture is
then cooled to 75 °C, allowing for alignment to the patterned surfaces and left for
16 h. During this time the mixture first undergoes a step-growth oligomerization
resulting in main-chain liquid crystalline acrylate terminated macromers. The
macromers are then crosslinked by exposure to 100 mW cm 2 ultraviolet light
(365 nm) at room temperature. The resulting elastomeric film is then removed
from the glass cell and cut into individual samples.
Mechanical characterization. Mechanical characterization was performed using
one of two methods. Quantitative measurement of the stress–strain response in
tension was obtained using a RSA III (TA Instruments) at room temperature.
Samples were rectangular and approximately 8 2 0.05 mm3 in size. Samples
were loaded along the long axis of the film. Quantitative measurement of local
strain within domains was performed optically. Films were clamped in a homemade tensile testing grip fitted with a micrometre. Strain was applied to the sample
in predetermined intervals and then images of the sample were taken between
crossed polarizers. Changes in domain dimensions (local strain) were obtained
through image analysis. Bending measurements were performed using a homemade clamp fitted with a micrometre. All films were clamped on both ends. Images
of the buckled films were taken with a digital camera and analysed in ImageJ.
Curvature was measured at the centre of each domain.
Digital image correlation. Strain mapping in 2D was performed using DIC. After
synthesis, each film was spray-coated with a carbon black ink. As a result the
sample was coated with a black speckle pattern that was used for image analysis
(Supplementary Fig. 1). Samples were loaded into the tension grips fitted with a
micrometre and strained at intervals of 3% strain where images were taken
(Cannon DSLR) fitted with a macro lens. Image analysis was performed using
freely distributed code run in Matlab21,22. Each image was correlated to the
previously taken image. Strains were then calculated in the principal and shear
directions for each image.
Electrical characterization. Conductive coatings were applied to the LCE film by
either electron beam evaporation of 50 nm of silver or by dipcoating in a solution of
silver nanowires in isopropanol (Seashell Technologies). The nanowire films were
then dried from solution at room temperature under gentle N2 flow. The coated
film was then heated for 10 s at 120 °C. This process was then repeated. The
resulting coatings showed a resistance of B15 O over 8 2 mm2 films. To measure
the local resistance change two methods were used. The first method used direct
measurement of resistance using a multimeter. Indirect measurement of resistance
was made by monitoring resistive heating. Electrical contact was made using two
metal clamps at the extremes of the long axis of the film. The sample was then
strained to 20% global strain. Sufficient current was then applied (B10 mA) to
cause resistive heating above the ambient temperature. The spatial distribution of
heat was then monitored using an infrared camera (FLIR).
References
Methods
Materials. 1,4-Bis-[4-(6-acryloyloxyhexyloxy)benzoyloxy]-2-methylbenzene
(RM82) was purchased from Synthon Chemicals (Germany). The photoalignment
material, PAAD-22, was purchased as a 1% solution in dimethylformamide from
BEAM Co. (USA) and was diluted to 0.33 wt% and filtered prior to use. N-butylamine was purchased from Sigma Aldrich (USA). Irgacure 369 (I-369) was provided
6
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Acknowledgements
T.H.W., A.F.S. and T.J.W. would like to acknowledge financial support from the
Materials and Manufacturing Directorate and the Office of Scientific Research of the Air
Force Research Laboratory.
Author contributions
Initial research directions were identified by T.H.W. and T.J.W. T.H.W., J.S.B.,
M.W. and T.J.W. directed and analysed experimental results. T.H.W. and A.F.S.
performed the experiments. All authors contributed to the writing of
manuscript.
Additional information
Supplementary Information accompanies this paper at http://www.nature.com/
naturecommunications
Competing financial interests: The authors declare no competing financial interests.
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How to cite this article: Ware, T. H. et al. Localized soft elasticity in
liquid crystal elastomers. Nat. Commun. 7:10781 doi: 10.1038/ncomms10781
(2016).
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