Semicrystalline shape-memory elastomers are molded into deformable geometrical features to control adhesive interactions between elastomers and a glass substrate. By mechanically and thermally controlling the deformation and phase-behavior of molded features, we can control the interfacial contact area and the interfacial adhesive force. Results indicate that elastic energy is stored in the semicrystalline state of deformed features and can be released to break attractive interfacial forces, automatically separating the glass substrate from the elastomer. Our findings suggest that the shape-memory elastomers can be applied in various contact printing applications to control adhesive forces and delamination mechanics during ink pickup and transfer.
Semicrystalline shape-memory elastomers are molded into deformable geometrical features to control adhesive interactions between elastomers and a glass substrate. By mechanically and thermally controlling the deformation and phase-behavior of molded features, we can control the interfacial contact area and the interfacial adhesive force. Results indicate that elastic energy is stored in the semicrystalline state of deformed features and can be released to break attractive interfacial forces, automatically separating the glass substrate from the elastomer. Our findings suggest that the shape-memory elastomers can be applied in various contact printing applications to control adhesive forces and delamination mechanics during ink pickup and transfer.
Over the past two decades,
contact transfer printing has evolved
into a viable manufacturing technology that can deposit and pattern
various organic, polymeric, and inorganic ink materials with micro-
and nanoscale precision.[1−4] Contact printing relies on an elastomeric stamp to
form adhesive and conformal contact with an ink layer during ink pickup
and on an interfacial fracture of the ink-stamp interface during ink
transfer.[5] Contact printing is inherently
amenable to replicate large-area patterns on flat or curvilinear substrates,
and it could potentially evolve into a universal platform for large-area,
parallel deposition of multiple types of materials at the submicrometer
length scale. However, the key to enabling such manufacturing is to
establish clean and reliable methods for controlling interfacial adhesion
and fracture mechanics during ink pickup and release.Interfacial
adhesion of elastomers can be affected by the material
viscoelasticity, stiffness, surface energy, and the geometrical shape
and roughness of the contact interface.[6−16] Many of these parameters were previously used to control adhesion
in contact printing. Rogers et al. have demonstrated that adhesion
in transfer printing can be modulated by the stamping rates—a
consequence of the viscoelastic nature of polydimethylsiloxane (PDMS)
stamps that are ubiquitously employed in contact printing.[17] Higher stamp–substrate separation velocities
during ink pickup result in greater stamp-to-ink adhesion. Rate-modulated
contact printing has been successfully used to pattern large-area
substrates with inorganic and organic thin-film patterns with >10
μm feature resolution, and the method was commercialized to
accomplish pickup and transfer of photovoltaic (PV) stacks for the
fabrication of inorganic PV devices on large-area, flexible supports.[18] However, material and printing mechanics have
so far precluded adaptation of rate-modulated adhesion to smaller
micro- and nanopatterns.Beyond stamp-rate modulation of adhesion,
sacrificial release layers
can trigger adhesive loss,[19−22] broadening the variety of inks that can be patterned
by contact printing. However, such processing complicates contact
printing and can contaminate deposited films.We have demonstrated
that the adhesive stamp-ink interactions can
be controlled by the stamp’s chemical composition and stiffness.[23] For example, the surface energy of polyurethane-acrylate
(PUA) stamps can be controlled chemically, producing stamps with tunable
polarity. As a consequence, high and low surface energy PUA stamps
can be used to uniformly pattern a variety of hydrophobic and hydrophilic
ink materials with sub-100 nm resolution.[24] However, this approach requires optimization of the stamp composition
for each new ink–substrate system.The modulation of
interfacial adhesion can also be achieved with
stamps made of shape-memory polymers (SMPs) that can be triggered
using external stimuli to change their shape and contact area.[25−34] In particular, because of the ability of switching interfacial interactions
using such external stimuli as temperature, light, and magnetic/electric
fields, SMPs have received considerable attention in the applications
of dry adhesives.[35−41] Kim et al. have demonstrated that arrays of 100 × 100 μm
inorganic plates can be printed using SMP stamps bearing small conical
and cylindrical features.[42,43] The metal plates are
first pressed into the stamp surface, flattening protruding features,
to create a temporarily stable, large contact area at low temperature;
when heated, features return to their original shape, breaking the
stamp–plate interfacial adhesion. Such contact area modulation
removes the need to control adhesive interactions kinetically or through
chemical modification. Potentially, this approach could be generalized
to transfer different inks using identical printing conditions and
materials. However, this method involves bimodal switching between
two adhesive states: continuous large-area contact with flattened
features and small-area contact with raised features; and printed
features must be large enough to engage onto the continuous large
stamp areas.We propose that by optimizing the stamp feature
geometry, it is
possible to continuously modulate the stamp-ink contact area through
thermomechanical SMP cycles, enabling tunable adhesive contact between
individual stamp features and ink media. Such shape-memory-assisted
contact printing could potentially reduce the size of the ink features
to the dimensions of the individual stamp features. Here, we demonstrate
that (i) adhesive interactions between SMP stamps bearing macroscopic
features and glass substrates can be continuously controlled by gradually
changing the stamp-glass contact area through mechanical loading and
thermally activated phase-transitions in a semicrystalline SMP material;
(ii) adhesion can additionally be modulated by simply varying the
applied load exerted on precompressed features without thermomechanical
programming, and (iii) that stored elastic energy in temporarily deformed
SMP feature can be released to overcome the adhesive forces between
the SMP stamp and a glass substrate. We show that the stamp–substrate
adhesive interaction can only be controlled when the deformed SMP
materials store sufficient elastic energy in its temporary shape and
that purely elastic stamp–substrate contacts are incapable
of modulating adhesive forces.
Methods and Materials
Materials
Polycaprolactone diacrylate (PCL2A, M: 4100 g/mol), pentaerythritol tetrakis(3-mercaptopropionate)
(PETMP, >95%), 4-dimethylaminopyridine (DMAP, 99%), and phenothiazine (99%) were acquired from Scientific Polymer
Products, Sigma-Aldrich, Alfa Aesar, and Acros Organics, respectively.
Preparation of Shape-Memory Elastomers
Semicrystalline
shape-memory networks were prepared by cross-linking PCL2A diacrylate with thiolene cross-linker PETMP.[44] First, PCL2A (3.5 g, 0.74 μmol)
was melted at 60 °C and thoroughly mixed with finely crushed
phenothiazine (10 mg, <0.3 wt %). PETMP (0.19 g, 0.37
μmol) was then added into the mixture, followed by the base
catalyst (35 mg, 1 wt %). The mixture was immediately degassed and
poured into an aluminum mold with mm-scale cylinder or hemisphere
features. An aluminum cover was placed on top of the material with
an 800 g weight to achieve a uniform backing layer thickness of the
sample. The polymer sample was cured at 60 °C for 3 days. Flat
films with a thickness of 0.25 mm were also prepared by molding between
glass slides, and dynamic mechanical analysis (DMA, RSA G2, TA Instruments)
was performed to obtain the melting transition temperature (TM) and Young’s modulus. Temperature sweeps
were acquired on 250 micrometer thick molded elastomer films from
0 to 80 °C at 5 °C min–1. Oscillation
was set to 0.50% strain and 1 Hz frequency, and the materials exhibit
sharp softening transition upon melting, as evident in Figure S1.
Thermomechanical Contact
Testing
Compression tests
were performed on a custom-built contact mechanics measuring system
(CMMS) shown in Figure . The system is equipped with a fixed glass substrate holder, XYZ-axis stepper/piezo motor (Thorlabs apt precision control
BSC 203/303, range: 50 mm/20 μm, resolution: 0.5 μm/20
nm, repeatability: 750 nm over 50 mm travel range), a multichannel
amplifier with four load cells (Interface BSC8D-12, range: 5 N per
cell, resolution: 0.05%) for force monitoring, a thermoelectric heater
(TE Technology TC-720, range: 15–88 °C, resolution: 0.01
°C), and custom-built lateral and vertical microscopes for profile
and plan views, respectively.
Figure 1
Chemical composition of the semicrystalline
polycaprolactone polymer
(PCL-SP), geometrical dimensions of the molded cylindrical
and hemispherical PCL-SP features, and schematics of
the contact mechanics measuring system.
Chemical composition of the semicrystalline
polycaprolactone polymer
(PCL-SP), geometrical dimensions of the molded cylindrical
and hemispherical PCL-SP features, and schematics of
the contact mechanics measuring system.For simple compression tests, the molded elastomer feature was
mounted with adhesive tape in the middle of the stage with temperature
control, position control, and force measurement. A clean microscope
glass slide was mounted into the substrate holder, and two orthogonally
positioned microscope cameras were aligned with the substrate holder
(profile view) and the polymer sample (plan view). The feature was
compressed against and detached from the glass slide by the stage
movement control, while continuously monitoring the stage position,
contact area, and force data. The contact area could be determined
at any time by image analysis (ImageJ). Pull-off work was calculated
by the integration of calculated tension-versus-displacement curves
using a pull-off rate of 5 μm/s.For compressions in the
amorphous state (above TM), the sample
was equilibrated at 70 °C, compressed
against the glass slide by x mm (x = 0.1, 0.3, 0.6, 0.9, 1.0) at 5 μm/s, held in position for
30 s, and then detached by x + 0.1 mm. This procedure
was repeated 10 times for each displacement. Force values obtained
over repeated runs were averaged, and standard deviations for all
points were less than 0.03 N. The standard deviations are not displayed
in the figures because of their small values.For compressions
with phase transition, the sample was heated,
equilibrated at 70 °C, and then compressed against the glass
slide by x mm at 5 μm/s (x = 0.3, 0.6, 0.9). While held under static compression, the sample
was cooled to 23 °C and left for 12 h to complete crystallization.
The sample was then detached from the glass slide at the pull-off
rate of 5 μm/s, and the initial detachment forces were recorded.Compression tests were also performed below TM on the previously deformed features. To achieve this, sample
features were first heated to 70 °C and then compressed against
the glass slide by 0.6 mm at 5 μm/s. While being held under
static compression, the sample was cooled to 23 °C and left for
12 h to fix deformation. The sample was then detached from the glass
slide. Deformed features were then compressed at 23 °C against
the glass slide by x mm (x = 0.15,
0.20, 0.25, 0.30, 0.35, 0.40, 0.45, 0.50, 0.55, 0.60, 0.70, and 0.75)
at 5 μm/s, held in position for 30 s, and then detached by x + 0.1 mm. This step was repeated 10 times for each displacement,
and force values were averaged. The standard deviations for all points
were less than 0.03 N. The standard deviations are not displayed in
the figures because of their small values.
Contact Delamination with
Stored Elastic Energy
A coverslip
was placed between the polymer sample and the glass slide. At 70 °C,
the sample was compressed by x mm (x = 0.3, 0.6, and 0.9) at 5 μm/s and cooled to 23 °C under
static compression. After cooling, the stage was lowered by x + 0.1 mm to separate the coverslip from the glass slides,
and the sample was heated back to 70 °C without load to complete
the shape-memory cycle and to demonstrate the loss of the adhesive
contact.
Results and Discussion
Compressive Deformation
and Adhesion above Transition Temperature
Compression experiments
on shape-memory features were conducted
to quantify how the adhesive force and contact area depend on the
feature geometry and load. Two feature geometries were examined: (i)
hemispheres that gradually increase their contact area and (ii) cylinders
that maintain a relatively constant contact area (Figure A). The molded feature was
heated to 70 °C and compressed at a constant rate (5 μm/s)
in the z-direction against a mounted glass slide
to various displacements ranging from 0.1 to 1 mm. Following each
compression, the mechanical load was reduced until the stamp experienced
slight tension and separated from the glass slide. Figure B shows examples of both force
and contact area plotted against time for compression of the cylindrical
and hemispherical features by 0.6 mm. The complete set of compressions
to other displacements is included in the Supporting Information (Figure S2). Figure C shows the “pull-off force”
and the “pull-off work” calculated as the integral of
force and measured displacement. For the 0.3 to 1.0 mm displacements
of the cylindrical features, a positive adhesive force was recorded
when the stamp was separated from the glass slide. However, negligible
adhesive contacts were measured as deformed hemispherical features
were unloaded. These results agree with the contact area measurements,
in which the cylindrical feature establishes and maintains a large
contact area at all deformations from 0.3 to 1.0 mm, whereas the maximum
contact area of the hemispherical feature linearly increases with
the applied loading force (Figure C).
Figure 2
(A) Schematic elastic deformation experimental protocol;
(B) examples
of compression profiles and contact area plots for the cylindrical
and hemispherical features; (C) experimental data of pull-off force,
pull-off work, maximum compression force, and maximum contact area
as functions of the total displacement for the cylindrical (blue)
and hemispherical (orange) features.
(A) Schematic elastic deformation experimental protocol;
(B) examples
of compression profiles and contact area plots for the cylindrical
and hemispherical features; (C) experimental data of pull-off force,
pull-off work, maximum compression force, and maximum contact area
as functions of the total displacement for the cylindrical (blue)
and hemispherical (orange) features.The contact mechanics of the elastic cylindrical and hemispherical
features was analyzed numerically and also using the Hertz contact
theory to predict compression force, F, and contact
area, ac, as a function of vertical deformation,
Δ, for a given feature geometry. The numerical simulations used
ABAQUS 2017 and assumed a purely elastic constitutive material (E = 4.2 MPa) to allow comparisons with the Hertz theory.
The comparison of experimental and model results is shown in Figure . For the cylindrical
features subjected to compressive deformation along its length, the
force scales nearly linearly with compressive deformation, as predicted
by simple uniaxial elasticity (eq ).where E is
Young’s modulus of the material, A is the
cross-sectional area of the cylinder, L is the length
of the cylinder, δ is the compressive displacement of the cylinder,
and F is the force applied. For the hemispherical
features, the Hertz theory predicts a subquadratic dependence of force
on deformation, with F ∼ d3/2 (eqs 34). Accordingly, relationships
between force, displacement, and contact area are given by eqs and 4where R is
the radius of curvature of the hemisphere, d is the
displacement of the hemisphere, E* is the effective
Young’s modulus of the material. These analytical results are
in good agreement with the finite element prediction. Likewise, the
dependence of the contact area on deformation is in good agreement
with the analytical and computational results. For the cylindrical
features, the contact area is essentially unchanged, and, for the
hemispherical features, the Hertz theory predicts a linear dependence
of contact area on deformation, as shown in Figure B. We expect the disagreement between Hertz
and the experimental results to be due to the slightly changing radius
of curvature of the hemispherical feature with continuing deformation,
and, possibly, a small dependence of elastic properties on deformation.
In Figure B, we demonstrate
that a smaller radius of curvature provides a good agreement between
the experimental data and this simple Hertz model.
Figure 3
(A) Analytical solution
(cylinder), Hertz theory calculation (hemisphere),
and experimental data (cylinder and hemisphere) of the compressive
force as a function of the vertical deformation length; (B) Hertz
theory calculations and experimental data (hemisphere for R = 1 mm) of the hemispherical feature contact area as a
function the vertical deformation length.
(A) Analytical solution
(cylinder), Hertz theory calculation (hemisphere),
and experimental data (cylinder and hemisphere) of the compressive
force as a function of the vertical deformation length; (B) Hertz
theory calculations and experimental data (hemisphere for R = 1 mm) of the hemispherical feature contact area as a
function the vertical deformation length.In summary, elastic compression can predictably deform surface
features and raise the feature-substrate contact area, but compression
alone is ineffective in establishing and controlling interfacial adhesion
because the elastic energy deposited into the material during compression
is reversibly stored and performs work during unloading that overcomes
any adhesive contact that was made.
Shape-Memory-Assisted Adhesion
through Thermally Induced Phase-Transition
Deformation
To demonstrate that thermomechanical programming
of the SMPs can be used to modulate interfacial adhesion, we used PCL-SP hemispherical stamps. Following Figure , hemispherical features were compressed
to three different displacements (0.3, 0.6, and 0.9 mm) at an elevated
temperature to increase their contact area and then were cooled below
their crystallization point to freeze-in the temporary deformed “fixed”
state, thereby storing elastic strain energy. Subsequently, features
were detached from the glass slides to measure the adhesive interactions.
Force traces are provided in the Supporting Information (Figure S3). Results for the process will be discussed
in stages.
Figure 4
Schematic illustrating shape-memory-assisted adhesion experiments;
experimental data of pull-off force, pull-off work, and maximum contact
area as functions of shape-memory-assisted deformation displacement;
pull-off stress and total energy release rate as functions of shape-memory-assisted
deformation displacement.
Schematic illustrating shape-memory-assisted adhesion experiments;
experimental data of pull-off force, pull-off work, and maximum contact
area as functions of shape-memory-assisted deformation displacement;
pull-off stress and total energy release rate as functions of shape-memory-assisted
deformation displacement.First, following compression and cooling (steps 1, 2, and 3 on
Figure 3SI), the deformed stamp was separated from the glass substrate
to measure the initial pull-off force and the pull-off work (Figure ). Figure 3SI shows
that a tensile force, applied to the attached feature, elastically
stretches the polymer before separating it from the glass substrate
(step 3 on Figure 3SI). Figure shows that the maximum contact area (A),
the maximum pull-off force (Fpull-off), and the pull-off work (Wpull-off) required to separate the compressed, crystallized feature all increase
with the deformation displacement. These findings confirm that the
increase in the contact area of the shape-fixed hemispherical feature
increases interfacial adhesion. We hypothesize that during elastic
compression, the stamp and the glass interfaces achieve conformal
van der Waals contact, maximizing the amount of the adhesive interactions
per unit area. In this regime, the separation pull-off force is mainly
determined by the contact area, and the pull-off stress (σpulloff) required to separate two interfaces largely depends
on the types of molecular interactions between the stamp and the glass
slide. This notion is supported by the nearly constant pull-off stress
observed, following different load displacements.We also observed
(Figure ) that the
total energy release rate, G,
increases as a function of the maximum contact area, A. The overall energy release rate is defined as the pull-off work
per unit of contact area and can be divided into two terms: Gstr, work per area required to elastically stretch
the elastic feature and the backing layer, and Gint, the work per area to break short-range, adhesive interactions.
The experimental measurement of pull-off work is related to Gint and Gstr by eq :The
Johnson-Kendall-Roberts
(JKR) model was employed to estimate contributions of adhesive interactions
and elastic deformations to the overall energy release rate.[45] The interfacial energy release rate (Gint) of the glass-stamp interface was calculated
from the measured pull-off force (Fpull-off) and the contact area (A). Here, we assumed that
the top surface of the deformed, semicrystalline feature can be modeled
as a large hemisphere of radius Reff making
a contact to a flat and rigid glass interface, allowing for the following
relationships (eqs and 7):A: contact
area; Reff effective: radius of the contacting
elastic hemisphere; E*: strain elastic modulus; E: Young’s modulus (175 MPa for semicrystalline PCL at 23 °C); and ν: Poisson’s ratio (1/2
for PCL).Here, R is different and larger
than a nominal radius R of the undeformed hemispherical
feature. Under these assumptions, the unknown Gint can be calculated from the measured Fpull-off and A and polymer’s
strain elastic modulus E* (eq ):Figure shows that
the interfacial energy release rate comprises mainly elastic stretching
of the bulk material with a smaller portion of energy attributed to
the separation of the two interfaces. As expected, the interfacial
energy release rate changes only slightly as a function of the initial
deformation, whereas the stretching energy release rate depends significantly
on the initial deformation and the contact area between the hemispherical
feature and the glass slide.
Figure 5
Interfacial energy release rate (Gint) and stretching energy release rate (Gstr) as functions of shape-memory-assisted deformation
displacement.
Interfacial energy release rate (Gint) and stretching energy release rate (Gstr) as functions of shape-memory-assisted deformation
displacement.Results confirm that thermomechanical
programming of the hemispherical
SMP’s features can modulate interfacial adhesion. The data
also show that both the overall change in the contact area and the
amount of stored elastic energy affect the amount of work required
to separate the polymer from the glass substrate and that the work
spent in elastic stretching is larger than the work required to overcome
adhesion. These findings indicate that, in practical applications,
the adhesive contact in phase-transitioning SMP materials should be
established based on the amount of expected pull-off force, rather
than by maximizing the total contact area and increasing the overall
work of adhesion. Our experiments demonstrated that even small initial
deformations in the elastic state at T > TM produce fully conformal contacts with maximized
interfacial interactions and that the additional work spent on deforming
the polymer to maximize its contact area mostly contributes to the
energy required to stretch the stiff polymer at T < TM before it can be separated from
the substrate.
Deformations and Adhesive Interactions in
the Compressed Semicrystalline
State
In this section, we demonstrate, that, in addition
to the thermomechanical programming of the SMP features, their adhesive
interactions can be modulated by the additional deformation in the
compressed semicrystalline state.In these experiments, a hemispherical PCL-SP feature at 70 °C was compressed to 0.6 mm against
the glass slide and cooled with deformation held in place to 23 °C.
After the feature was separated from the glass slide (inital pull-off),
the stage was brought back to −0.6 mm position and calibrated
as 0 mm. Then, the flattened feature was repeatedly compressed into
and detached from the glass slide at 23 °C by additional displacements
of 0.15–0.75 mm (Figure , step5). The pull-off force (Fpull-off), pull-off work (Wpull-off),
maximum contact area (Amax), and maximum
compression force (Fmax) were plotted
as functions of the additional displacement at 23 °C; the pull-off
stress (σpull-off, pull-off force per unit
area) and energy release rate (G, pull-off work per
unit area) were plotted as functions of the maximum compression force
during the additional cold displacement (Figures and S4). The
maximum contact area and the compression force both continuously increase
with the additional displacement. However, the pull-off force and
the pull-off work have maximum values at the intermediate cold displacement
of 0.55 mm. These results suggest that the adhesive interactions between
the flattened semicrystalline PCL-SP feature and the
glass slide were maximized at 0.55 mm displacement, and then weakened
after the feature was compressed into the slide beyond 0.55 mm. Correspondingly,
the pull-off stress and the energy release rate were also maximized
at the same 0.55 mm compression and the same maximum compression force
of 14.7 N.
Figure 6
Schematics of compression tests on predeformed features at 23 °C;
experimental data of pull-off force, pull-off work, and maximum contact
area as functions of deformation at 23 °C (the deformation in
addition to the initial deformation in step 1); pull-off stress and
total energy release rate as functions of deformation at 23 °C.
Schematics of compression tests on predeformed features at 23 °C;
experimental data of pull-off force, pull-off work, and maximum contact
area as functions of deformation at 23 °C (the deformation in
addition to the initial deformation in step 1); pull-off stress and
total energy release rate as functions of deformation at 23 °C.We hypothesize that the observed decrease in the
pull-off stress
and energy release rate at high compressive forces is due to deforming
the polymer laterally along the polymer–glass interface. The
increase in the maximum contact area with the additional displacements
suggests that the flattened hemispherical feature continues to deform
with increasing compressive forces. At compressions below 0.55 mm
(compression force <14.7 N), the pull-off stress also increases
with additional displacement up to the maximum value of 1.65 MPa.
Our shape-memory-assisted adhesion experiments show that the same
maximum pull-off stress of ∼1.6 MPa for the PCL-SP is achieved when the elastic feature at T > TM is compressed into the substrate and then
cooled below TM. Therefore, up to the
maximum pull-off stress of 1.65 MPa, compressions of the flattened
semicrystalline feature lead to the strengthening of the adhesive
contact by maximizing the conformity of the polymer–glass interface.
Beyond this threshold value, the interface is no longer capable of
increasing contact interactions, and the polymer material must deform
laterally along the interface to accommodate the increasing compressive
force. It is possible that such lateral deformation degrades the quality
of the adhesive contact, leading to a decrease in both the pull-off
stress and the total interfacial energy release rate.Our experiments
show that the adhesive contact of the PCL-SP polymer
can be maximized through compressive deformations at T < TM. Measurements of the
pull-off stress indicate that the conformity of the polymer–glass
interface achievable at cold compressions in the semicrystalline state
can be comparable to the fully conformal contacts established in the
elastic state at T > TM; however, a much higher compressive force (14.7 N vs 1.8 N) is needed
to achieve this state at T < TM. At the same time, the total energy release rate required
to separate the deformed interface at the maximum pull-off stress
is higher than the energy release rate required for the separation
of the contact produced by crystallization. It is possible, therefore,
that cold compression of the shape-memory materials at T < TM can be used as an additional
method to modulate adhesion, especially in temperature-sensitive applications.
Modeling of the Adhesive Interactions in the Compressed Semicrystalline
State
To better understand the mechanism of cold-adhesion
modulation, we used ABAQUS to create two models to represent the compression
and adhesion behavior of the crystallized hemispherical PCL-SP stamp at 23 °C after an initial compression of 0.6 mm. We observe
(see Figure ) that
the slope of the contact area–displacement curve is very small,
indicating the possibility of a local nonuniform hardening elastic
response. To explore this working hypothesis, we model the precompressed PCL-SP hemispherical stamp as a combination of stiff and compliant
material. This idea will be further examined in relation to the experimental
data.Adhesion between the precompressed stamp feature and the
glass slide is modeled in ABAQUS using a local interfacial constitutive
law, whereby local nonlinear adhesion behavior is represented by the
traction–separation law (TSL). The TSL is governed by three
parameters: an effective initial elastic stiffness Knn (units of N/mm2/mm) relating the traction
to separation at the interface; the maximum traction tn,max at which adhesion begins to degrade; and the maximum
separation δmax at which adhesion is entirely lost.
Mathematically, the TSL can be expressed as eq and as shown in Figure :
Figure 7
Local traction–separation
relationship describing the adhesive
behavior at the interface. The area under the curve Gc represents the total pull-off work.
Local traction–separation
relationship describing the adhesive
behavior at the interface. The area under the curve Gc represents the total pull-off work.The progressive local damage modeling of the adhesive interaction
is considered to be linear, as indicated by the curve after damage
initiation. The area under the traction–separation curve represents
the pull-off work of the adhesive interaction. In other words, it
is the total interfacial energy expended in delamination of the stamp–glass
interface, and the local TSL can relate local interface behavior to
the experimentally measured averaged parameters.Figure represents
the experimental and numerical comparisons of the force and contact
area dependence on deformation. To avoid an explicit effort describing
the effect on the material response of precompression, we modeled
feature compression via local hardening of the stamp and the backing
layer. Three models a, b, and c were considered to quantitatively
represent the local hardening effect hypothesized: (a) compliant stamp
and the backing layer, (b) stiff stamp and the compliant backing layer,
and (c) stiff stamp and the stiff near-surface backing layer. A comparison
of the experimental data and numerical predictions is summarized in Figure . Our conclusion
here is that a stiff stamp and backing layer leads to a smaller change
in the contact area and accurately describes the contact force observed
during precompression.
Figure 8
(Top) Experimental and computational data comparison for
the semicrystalline
compression at 23 °C. Model (a) corresponds to both stamp and
backing layer being compliant; model (b) has a stiff stamp and compliant
backing layers; and model (c) has a stiff stamp and a stiff near-surface
backing layer. (Bottom) Comparison of experimental data and numerical
predictions for the dependence of the contact area on deformation.
(Top) Experimental and computational data comparison for
the semicrystalline
compression at 23 °C. Model (a) corresponds to both stamp and
backing layer being compliant; model (b) has a stiff stamp and compliant
backing layers; and model (c) has a stiff stamp and a stiff near-surface
backing layer. (Bottom) Comparison of experimental data and numerical
predictions for the dependence of the contact area on deformation.The stiffer material model used to validate the
compression data
was then used in conjunction with the TSL to study the pull-off force
data. The parameters of TSL were selected so as to optimize the agreement
with the experimental pull-off force dependence on the imposed overall
tensile deformation. The inset text in Figure shows the computed surface energy value
(via the TSL model) as well as the experimentally determined surface
energy (from the area under the pull-off force–displacement
curve and the initial area of contact). Figure shows a fair agreement between the experimental
and numerical results. Our approach leads to the extraction of the
pull-off work from the experimentally measured dependence of the pull-off
force on overall deformation. This agreement also lends credibility
to the hypothesis of local elastic hardening.
Figure 9
Comparison of experimental
data on the dependence of the pull-off
force on (tensile) deformation with a numerical model describing adhesion
via a local nonlinear traction dependence on local separation and
allowing for elastic near-surface deformations.
Comparison of experimental
data on the dependence of the pull-off
force on (tensile) deformation with a numerical model describing adhesion
via a local nonlinear traction dependence on local separation and
allowing for elastic near-surface deformations.
Contact Delamination with Stored Elastic Energy
To
visualize the effectiveness of the phase change and the contact area
change in controlling ink-stamp adhesion for transfer printing application,
we demonstrated a full cycle of shape-memory programming and recovery
using a free glass coverslip that was not fixed to the substrate holder (Figure ).
Figure 10
Snapshots (left: top view, right: side view) at different
stages
of the shape-memory cycle experiment with a coverslip with 0.3, 0.6,
and 0.9 mm deformation; first column: coverslip sitting on the top
of the heated feature at the amorphous state; second column: coverslip
being pressed against the heated feature at the amorphous state; third
column: coverslip being adhered to the flattened feature at the semicrystalline
state; fourth column: coverslip being pushed out of contact with the
recovered feature at the amorphous state.
Snapshots (left: top view, right: side view) at different
stages
of the shape-memory cycle experiment with a coverslip with 0.3, 0.6,
and 0.9 mm deformation; first column: coverslip sitting on the top
of the heated feature at the amorphous state; second column: coverslip
being pressed against the heated feature at the amorphous state; third
column: coverslip being adhered to the flattened feature at the semicrystalline
state; fourth column: coverslip being pushed out of contact with the
recovered feature at the amorphous state.At 70 °C, the coverslip was pressed by the substrate holder
against the stamp feature as the fringe pattern showed (Figure ). As the system
was cooled to room temperature, the coverslip remained adhered to
the feature even after the substrate holder was removed and held upside
down (Supporting Information Video 1).
This confirmed that freezing the conformal contact below crystallizing
temperature increased the pull-off work on the ink-stamp interface
to surpass the weight of the coverslip. During recovery by heating
back up to 70 °C, the elastic energy stored during shape fixation
was released to work against the adhesive contact. The feature recovered
its spherical surface from the temporary flattened surface, and the
contact started delaminating from the outer edge toward the center.
As a result, the coverslip was detached from the stamp, proving that
the release of stored elastic energy during the recovery of the amorphous
state can provide sufficient energy to break the interfacial adhesion
formed during shape-memory programming (Supporting Information Video 2). Hence, the demonstration portrayed
a successful concept of how the thermomechanical cycle of shape-memory
features can be applied to contact printing by the control of interfacial
adhesion of stamp-ink.
Conclusions
Our study demonstrates
that purely elastic deformations of molded
SMP interfaces are incapable of controlling adhesive interactions
and that the elastic deformation followed by temperature-induced crystallization
can be used to continuously modulate adhesion of the SMPs when the
geometry of the contacting polymeric features allows for the change
in the contact area. Our results also demonstrate that when the adhesive
contact is established through such thermomechanical programming,
a large portion of the work adhesion is spent on elastically stretching
polymer during delamination and that the quality of such adhesive
contacts is largely independent of the magnitude of the initial elastic
deformation.We also show that the deformation of the semicrystalline
molds
below TM can also be used to modulate
adhesion. Contrary to the purely elastic deformations at higher temperatures,
the quality of the adhesive contact in deformation below TM depends on the magnitude of the deforming force.Our modeling demonstrates that Hertz elastic contact analysis provides
a useful starting point for assessing the relation of the area of
contact and contacting force to the imposed deformation. Modifications
include a local hardening stiffness to account for initial precompression.
A computational model for the constitutive relation of interfacial
traction and separation allows a direct comparison of experimental
and computational results for the extracted surface energy.In summary, our work shows that the stored elastic energy in thermomechanically
programmed SMP features can be used to overcome all of the adhesive
interactions between the SMP polymer and the substrate when the feature
is heated above TM. These results suggest
that molded SMP features can be used in applications that rely on
reversible adhesive contacts that can be switched and programmed using
mechanical deformation and temperature. We note that our study shows
tunable adhesion in large macroscopic SMP features, and a separate
investigation is required to demonstrate that SMPs can be used in
high-resolution contact printing of small micrometer to submicrometer
features. The demonstrated adhesion modulation technique relies on
the features that change their contact area under compression. Although
such features are easy to make at the millimeter scale, the manufacturing
of large arrays of hemispherical micrometer features presents a separate
challenge.