Marko Mihajlovic1,1, Mariapaola Staropoli2, Marie-Sousai Appavou3, Hans M Wyss1,1, Wim Pyckhout-Hintzen2, Rint P Sijbesma1,1. 1. Laboratory of Macromolecular and Organic Chemistry, Department of Chemical Engineering and Chemistry, Institute for Complex Molecular Systems, and Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands. 2. JCNS-1 and ICS-1, Forschungszentrum Jülich GmbH, Leo-Brandt-Straße, 52425 Jülich, Germany. 3. Jülich Centre for Neutron Science (JCNS) at MLZ, 85747 Garching, Germany.
Abstract
We report the preparation and structural and mechanical characterization of a tough supramolecular hydrogel, based exclusively on hydrophobic association. The system consists of a multiblock, segmented copolymer of hydrophilic poly(ethylene glycol) (PEG) and hydrophobic dimer fatty acid (DFA) building blocks. A series of copolymers containing 2K, 4K, and 8K PEG were prepared. Upon swelling in water, a network is formed by self-assembly of hydrophobic DFA units in micellar domains, which act as stable physical cross-link points. The resulting hydrogels are noneroding and contain 75-92 wt % of water at swelling equilibrium. Small-angle neutron scattering (SANS) measurements showed that the aggregation number of micelles ranges from 2 × 102 to 6 × 102 DFA units, increasing with PEG molecular weight. Mechanical characterization indicated that the hydrogel containing PEG 2000 is mechanically very stable and tough, possessing a tensile toughness of 4.12 MJ/m3. The high toughness, processability, and ease of preparation make these hydrogels very attractive for applications where mechanical stability and load bearing features of soft materials are required.
We report the preparation and structural and mechanical characterization of a tough supramolecular hydrogel, based exclusively on hydrophobic association. The system consists of a multiblock, segmented copolymer of hydrophilic poly(ethylene glycol) (PEG) and hydrophobic dimer fatty acid (DFA) building blocks. A series of copolymers containing 2K, 4K, and 8K PEG were prepared. Upon swelling in water, a network is formed by self-assembly of hydrophobic DFA units in micellar domains, which act as stable physical cross-link points. The resulting hydrogels are noneroding and contain 75-92 wt % of water at swelling equilibrium. Small-angle neutron scattering (SANS) measurements showed that the aggregation number of micelles ranges from 2 × 102 to 6 × 102 DFA units, increasing with PEG molecular weight. Mechanical characterization indicated that the hydrogel containing PEG 2000 is mechanically very stable and tough, possessing a tensile toughness of 4.12 MJ/m3. The high toughness, processability, and ease of preparation make these hydrogels very attractive for applications where mechanical stability and load bearing features of soft materials are required.
Hydrogels are three-dimensional
networks of hydrophilic polymers,
able to absorb and retain large amounts of water, which makes them
a very attractive class of materials for biomedical applications.
Hydrogels are often biocompatible, primarily because of their hydrophilic
character, high water content, and permeability similar to those of
natural tissues. In the past decades, interest in hydrogels as drug
delivery platforms, artificial implants, and scaffolds in tissue engineering
has increased strongly.[1−6] However, most of the traditional synthetic hydrogels are brittle
and possess poor mechanical properties.[7,8] These disadvantages
can severely limit their application as very often they are required
to have high toughness and load bearing features. Therefore, designing
synthetic hydrogels with remarkable mechanical properties is an important
task.In order to improve mechanical properties of these soft
materials,
efficient energy dissipation mechanisms must be available at the molecular
level because these increase resistance to crack propagation and lead
to high toughness.[9,10] During the past few decades,
many hydrogels with excellent mechanical properties have been developed,
including hydrogels with homogeneous network structure,[11,12] topological,[13] nanocomposite,[14,15] double network,[16,17] and supramolecular hydrogels.
Supramolecular hydrogels, also known as “reversible hydrogels”,
feature secondary interactions, such as H bonding,[18] ionic,[19] and hydrophobic interactions.[20] Because secondary interactions provide intrinsic
mechanisms for energy dissipation, there is a large potential for
designing high-toughness supramolecular hydrogels. Furthermore, being
reversible, such materials can be handled and processed quite easily,
which makes this type of hydrogel very attractive for use on a large
scale.Hydrophobic interactions have been extensively used in
associative
thickeners, such as hydrophobically ethoxylated urethanes (HEURs).[21,22] In these amphiphilic macromolecules, hydrophobic parts are able
to self-assemble in flower-like micelles in aqueous solutions, bridging
hydrophilic chains. This leads to increased viscosity due to the formation
of a temporary physical network structure.[23,24] Based on the rheology of HEURs, introduction of hydrophobic interactions
in hydrogel systems is expected to create reversible cross-links,
which give gels the capability to flow and provide a mechanism to
efficiently dissipate energy, increasing fracture toughness.[25,26] Okay and co-workers show that reversible hydrophobic interactions
in polyacrylamide hydrogels indeed contribute to improved mechanical
properties.[10,20,27]In analogy to thermoplastic elastomers, multiblock, segmented
copolymers
with hydrophobic segments are expected to endow gels with higher elasticity
and reduced creep. Indeed, in hydrogels based on the segmented copolymer
between hydrophilic PEG and 2-ureido-4[1H]-pyrimidinone
(UPy) hydrogen-bonding units, developed by Meijer and co-workers,
it was shown that due to microphase-separated network, hydrogels exhibited
high strength and resilience when deformed.[28] In our group, an injectable, elastic hydrogel was developed, based
on the segmented copolymer containing PEG and bisurea segments.[29]In light of designing hydrogels that are
easy to prepare and process,
while maintaining high toughness, we were inspired by the above-mentioned
studies and wanted to design a supramolecular hydrogel that would
include multiblock, segmented polymer architecture and strong hydrophobic
interactions. We anticipated that by bringing together these two concepts
in one system, we could produce a single-network, high-toughness supramolecular
hydrogel based solely on hydrophobic interactions. With this in mind,
we chose our building blocks: poly(ethylene glycol) (PEG), a water-soluble
polymer, widely used in many hydrogel preparations because of its
nontoxicity and biocompatibility,[30−33] and dimer fatty acid (DFA).[34] DFA is a fully hydrogenated C36 hydrophobe,
a dimer of stearic acid. It has a well-defined molecular weight but
it is a mixture of different isomers, which prevents crystallization
in applications in polymers.[35] The novelty
of our hydrogels is precisely the use of DFA, and we chose it because
of its large size, which we anticipated would form stable and robust
physical cross-links, leading to improved mechanical properties. To
the best of our knowledge, so far such a large hydrophobe has not
been used in hydrogel formulations.In the present work we report
on a simple and fast method to prepare
hydrophobically associated supramolecular hydrogels, starting from
inexpensive and readily available building blocks. Segmented copolymers
were prepared by polycondensation reaction between PEG and DFA (or
its diisocyanate derivative, DDI) without adding any surfactant molecules
and/or chemical cross-linking agents. Hydrogels made by this method
are expected to display high mechanical strength, toughness, and stability
due to the multiblock architecture of the polymer and strong hydrophobic
aggregation between DFA units. We aimed to explore structural, viscoelastic,
and mechanical features of these hydrogels and determine whether a
high degree of toughness is achieved.
Experimental
Section
Materials
Poly(ethylene glycol) (PEG) 4000 and 8000,
dimerized fatty acid (DFA), and dibutyltin dilaurate (DBTDL) (95%)
were all purchased from Sigma-Aldrich. Poly(ethylene glycol) (PEG)
2000 was obtained from Merck. Dimer fatty acid-based diisocyanate
(DDI 1410, 92% pure) was kindly provided as a free sample by Cognis
(now BASF). Tin(II) chloride anhydrous (SnCl2) (99%) was
purchased from Alfa Aesar. Bulk solvents were obtained from Biosolve
BV Chemicals and used as received. All PEG compounds were dried by
azeotropic distillation with toluene before use. Other chemicals were
used without further purification.
Synthesis
Segmented
PEG-DFA-Based Copolymer
In a 300 mL three-neck
round-bottom flask flange reactor with a magnetically coupled anchor
stirrer, PEG 2000 (30.00 g, 15 mmol) was melted at 150 °C, and
the vacuum was applied for 20 min. When completely dry PEG was obtained,
DFA (8.55 g, 15 mmol) and SnCl2 (193 mg, 0.5 wt % of the
total amount of monomers) were added to the reaction mixture, vacuum
was reapplied, and a cold trap was set. The temperature was increased
to 180 °C for 1 h. Finally, the temperature was increased to
200 °C, and the reaction mixture was stirred under reduced pressure
(0.1–0.2 mbar) for 24–30 h (until the mixture became
so viscous that no efficient stirring could be observed anymore).
After that time, the vessel was slowly cooled down to room temperature
at atmospheric pressure, and the reaction was quenched by adding approximately
100 mL of chloroform under stirring. The resulting chloroform solution
was then precipitated into an excess amount of diethyl ether and centrifuged
at 20 000 rpm for 10 min. The final product was isolated as
a white powder, and it was dried under reduced pressure at room temperature
overnight.
Segmented PEG-DDI-Based Copolymer
In a typical reaction,
previously dried PEG 2000 (7.00 g, 3.5 mmol) was dissolved in 10 mL
of chloroform in a 50 mL two-neck round bottom flask, and DBTDL (44
μL, 0.5 wt % with respect to the total amount of monomers) was
added under argon flow. Next, DDI (2.26 g, 3.85 mmol) was dissolved
in 3 mL of chloroform and added dropwise to the reaction mixture.
The reaction mixture was stirred under argon, at reflux (75 °C)
for 12 h, until significant increase in viscosity was observed. At
this point, the reaction was stopped by cooling down the flask to
room temperature and adding small amount of chloroform (10 mL). The
resulting solution was precipitated in large amount of diethyl ether
and centrifuged at 20 000 rpm for 10 min. The final product
was dried under reduced pressure at room temperature overnight and
appeared as white powder. The same procedure was employed for the
synthesis of PEG 4000-DDI and PEG 8000-DDI segmented copolymers.
Gel Permeation Chromatography (GPC)
GPC (PL-GPC 50
Plus) with integrated refractive index detector (Polymer Laboratories)
was used to obtain molecular weights (MWs) of the synthesized segmented
copolymers. The samples were prepared in dimethylformamide (DMF)
with 10 mM LiBr at 5 mg/mL and filtered through PTFE syringe filters
(from VWR) with average pore size of 0.2 μm. DMF with 10 mM
LiBr was used as mobile phase at a flow rate of 1.0 mL/min. GPC data
reported for the MWs are relative to a calibration based on PEG standards
(Polymer Source).
NMR Spectroscopy
1H NMR
spectra of the samples
were obtained by employing a Varian Mercury VX (400 MHz) spectrometer.
Solutions were prepared in CDCl3 (Cambridge Isotope Laboratories),
and measurements were performed at room temperature. Chemical shifts
are reported as δ in parts per million (ppm) and referenced
to tetramethylsilane (at 0 ppm).
Fourier-Transformed Infrared
Spectroscopy (FT-IR)
FT-IR
spectra were recorded at room temperature on a PerkinElmer Spectrum
One spectrometer equipped with a universal attenuated total reflectance
(ATR) sampling accessory. The samples were scanned in the range from
450 to 4000 cm–1 with a 8 scan per sample cycle
and a resolution of 4 cm–1.
Hydrogel Preparation
Polymer disks of 25 mm in diameter
and 0.5 mm thickness were obtained by compression-molding. The powder-like
material was melt-pressed at 95 °C at a pressure of 100 bar for
10 min using a stainless steel mold; within the mold the material
was sandwiched between two pieces of Teflon sheets to prevent sticking.
After cooling to room temperature, polymer disks were removed from
the mold, and their weight was recorded prior to the subsequent swelling
experiments. Hydrogels were then obtained after the above-mentioned
disks were immersed in a large excess of water at ambient temperature
for a minimum of 24 h.
Hydrogel Swelling, Determination of Equilibrium
Water Content
(EWC), and Stability Studies
Swelling properties and EWCs
of the hydrogels were measured at room temperature using a gravimetric
method. The discs were placed in distilled water at room temperature,
and their weight gain was measured as a function of time. Each sample
was weighed before soaking. At designated periods of time, they were
taken out of the bath, gently blotted with filter paper to remove
surface water, immediately weighed, and returned to the bath. The
water content at different times can be calculated by the equationwere m0 and m are the weights of the dry sample and hydrogel at the
time of measurement, respectively. W (%) is the water
content, while EWC (%) indicates the water content when the equilibrium
is reached. The stability of the hydrogels at swelling equilibrium
was investigated by the same method. Hydrogel was stirred in distilled
water at room temperature, and the weights were taken at defined times
for the next 50 days. Fresh water was replaced each time the measurement
took place.
Small-Angle Neutron Scattering (SANS)
SANS measurements
were performed at the KWS-2 diffractometer at MLZ, Munich, Germany.
Data were recorded at different sample-to-detector distances (D = 1.4, 2, 8, and 20 m) and corresponding collimation lengths
covering the scattering vector (q) range between
0.002 and 0.3 Å–1. The scattering vector is
given by q = (4π/λ) sin(θ/2), where
θ is the scattering angle. The employed neutron wavelength was
λ = 5 Å with relative width 20%, and the scattering intensity
was detected by means of a two-dimensional detector consisting of
128 × 128 channels, with the size of each channel 6 mm ×
6 mm. Data were corrected for detector sensitivity, transmission,
background, and empty cell scattering and were radially averaged.
The scattering was calibrated for absolute intensity using a 1.5 mm
thick PMMA standard.All samples were prepared in Hellma quartz
cells with a 1 mm path length, and the measurements took place at
room temperature. Dry, powder-like materials were dissolved in a small
amount of acetone in the cells, and then the solvent was removed under
vacuum at 40 °C overnight. The aforementioned dry films were
swollen to hydrogel state with deuterium oxide (99.9 atom % D, Sigma-Aldrich)
at the desired concentration. D2O was chosen as solvent
because its scattering length density (ρD = 6.36 × 1010 cm–2) strongly differs
from that of PEG (ρPEG = 6.34 × 109 cm–2) and the segregating DFA moieties (ρDFA = 1.67 × 109 cm–2). Therefore,
the scattering intensity from PEG under these conditions is nonzero.
These PEG segments could have been matched or made “invisible”
to neutrons if a mixture of about 16% D2O/84% H2O was taken as the solvent. However, this would have reduced at the
same time the contrast to the DFA units by roughly a factor of 240
and increased the incoherent background by about 3, both conditions
not recommendable for accurate experimenting. The cells were properly
sealed to prevent any evaporation during the measurement.
Rheology
Viscoelastic properties of the hydrogels were
studied by rheology. Oscillatory shear and stress relaxation measurements
were determined by a stress-controlled rheometer (Anton Paar, Physica
MCR501). The measuring device was equipped with plate–plate
geometry (25 mm in diameter) and a temperature unit (Peltier hood
accessory), which provides temperature control and prevents evaporation
during the experiments. All measurements were conducted on hydrogel
samples at 25 wt % concentration and at 25 °C unless otherwise
noted. Dynamic measurements were performed over a frequency range
of 0.1–100 rad/s using a shear strain of 0.1%, whereas in the
stress relaxation experiments a step strain of 0.1% was applied, and
the decay of stress in the viscoelastic material is monitored as a
function of time. The temperature sweep experiment was done at a constant
heating rate of 2 °C/min over a temperature range between 25
and 75 °C.
Tensile Testing
Mechanical properties
were determined
by tensile testing, in both uniaxial extension mode and cyclic testing
mode. Tests were carried out with Zwick Z100 universal tensile tester
with the load cell of 100 N at room temperature. For uniaxial extension
tests, the crosshead speed was set at 5 mm/min, while for the cyclic
tests at low strains, the speed was 0.5 mm/min. Dog-bone samples were
cut from rectangular hydrogel films previously brought to swelling
equilibrium. They were kept in water until the measurements took place.
The sample size was 12.5 mm length, 2 mm width, and 1.5 mm thickness,
as measured prior to testing. Sample grips were tightly fixed between
the clamps to prevent eventual slippage during the loading. The measurements
were performed on at least five samples, and the results were averaged.
Standard deviations of all recorded parameters were less than 10%.
From the stress–strain curve, tensile modulus, tensile strength,
elongation at break, and toughness were determined. Tensile modulus
was calculated as the slope of the linear portion of the curve (1–4%)
by using the linear regression method. Tensile strength corresponds
to the maximum stress absorbed by material, while elongation at break
is relative to the maximum extension of the sample before failure.
Tensile toughness was determined by integrating the area under the
curve from the start of the test until fracture of the sample.
Results
and Discussion
Synthesis and Molecular Characterization
The one-step
synthesis of the segmented copolyester based on PEG diol and DFA is
schematically represented in Figure (top), and the adopted synthetic methodology is a
modification of a literature procedure for esterification of DFA with
PEG, consisting of reacting DFA and PEG diol in stoichiometric ratio
at 200 °C, under vacuum and in the presence of tin(II) chloride
as a catalyst for 30 h.[36] The reaction
is a typical polycondensation polymerization, in which ester bonds
are formed between hydroxyl groups of PEG diol and carboxylic acid
functionalities of DFA. In order to study how mechanical and viscoelastic
properties of the resulting hydrogels are affected by the hydrophobic/hydrophilic
balance, we varied the hydrophilicity by incorporating different molecular
weights of PEG diol. PEG2000, PEG4000, and PEG8000 diols were reacted
with DFA to give segmented copolymers. However, the literature procedure
consistently gave low molecular weight polymers when PEG4000 and PEG8000
were used, most likely due to the lower concentration of functional
groups in the reaction mixture. A successful alternative to segmented
copolyester was the synthesis of the corresponding polyurethane. In
this approach, DFA diisocyanate (DDI) was used, and the urethane bonds
were formed via the addition reaction between isocyanate groups of
DDI and hydroxyl groups of PEG diol[37] (Figure , bottom). Using
this procedure with some modifications, three segmented polyurethanes
were prepared, with PEG2000, PEG4000, and PEG8000, as summarized in Table .
Figure 1
Synthetic procedures
for the preparation of the segmented polyester
(top) and polyurethanes (bottom), obtained via polymerization reactions.
Table 1
Characteristics of
the Segmented Copolymers
sample name
Mw (kg/mol)
Mn (kg/mol)
Mw/Mn
bond
type
PEG MW
apolar unit
PE PEG2000
70
29
2.41
ester
2000
DFA
PU PEG2000
35.3
19
1.86
urethane
2000
DDI
PU PEG4000
48.2
33.3
1.45
urethane
4000
DDI
PU PEG8000
84.2
61.5
1.37
urethane
8000
DDI
Synthetic procedures
for the preparation of the segmented polyester
(top) and polyurethanes (bottom), obtained via polymerization reactions.We use the following nomenclature in order to distinguish
the samples
by their composition: PX PEGY, where X is either E (ester) or U (urethane) and Y is the molecular weight of the PEG in g/mol. Four segmented copolymers
containing alternating hydrophilic (PEG) and hydrophobic (DFA) segments
were prepared on a multigram scale and characterized with GPC, IR,
and 1H NMR spectroscopy.The molecular weights and
molecular weight distributions were determined
by GPC and are listed in Table . PE PEG2000 and PU PEG2000 have relatively broad distribution
of molecular weights (2.4 and 1.86, respectively), which is expected
for condensation polymerization reactions. In the materials with high
molecular weight PEG, polydispersity is below 1.5, but lower molecular
weight species, corresponding to oligomers, are present in the product
(see Supporting Information, Figure S1).Figure displays
FT-IR spectra of the reactants and resulting segmented copolymers.
The characteristic peaks of the end −COOH group at 1708 cm–1 and the −OH group at 3400–3500 cm–1 present in the starting materials have completely
disappeared in the spectrum of copolyester PE PEG2000, while a new
absorption band appeared at 1735 cm–1, due to the
−C=O ester stretch vibration (Figure , left). Thus, IR showed that the reaction
between COOH of DFA and OH of PEG2000 diol was successful, and it
resulted in the formation of ester bonds.
Figure 2
FT-IR spectra of (left)
reactants DFA (A), PEG2000 diol (B), and
segmented polyester PE PEG2000 (C); (right) reactants DDI (A), PEG2000
diol (B), and polyurethane PU PEG2000 (C).
FT-IR spectra of (left)
reactants DFA (A), PEG2000 diol (B), and
segmented polyester PE PEG2000 (C); (right) reactants DDI (A), PEG2000
diol (B), and polyurethane PU PEG2000 (C).Similarly, the formation of the urethane bonds was observed
in
the polymers synthesized from DFA diisocyanate. The spectra in Figure (right) show the
characteristic bands present in the reactants: stretch of the isocyanate
group (−N=C=O) at 2260 cm–1 and a weak broad band of the end −OH groups of PEG diol at
3400–3500 cm–1. In the product, bands of
the urethane bond (−NH–CO-O−) appeared as a weak
signal around 3350 cm–1, attributed to the N–H
stretch vibration and two characteristic signals at 1721 cm–1 (−C=O stretch) and N–H in-plane bending at
1532 cm–1. The presence of these bands and the disappearance
of the characteristic bands of the reactants confirmed the formation
of urethane bonds in these segmented copolymers.Finally, the
copolymers were also characterized by 1H NMR spectroscopy
with the spectra shown in Figure S2 (Supporting Information), with all signals in
line with the proposed structures.
Swelling Behavior, EWC,
and Stability of Hydrogels
Because of the hydrophilic nature
of the PEG segments, PEG-DFA-based
copolymers absorb water when soaked, giving rise to transparent hydrogels,
which have mechanical integrity due to aggregation of the highly apolar
DFA units, which phase separate and act as reversible cross-links
in the network (Figure a).
Figure 3
(a) Dry and equilibrium-swollen films of PE PEG2000; (b) swelling
properties of the segmented copolymers and corresponding EWCs; (c)
stability study of PE PEG2000, plotted as weight variation versus
time; segmented copolymers are as follows: (■) PE PEG2000,
(●) PU PEG2000, (▲) PU PEG4000, and (◆) PU PEG8000.
(a) Dry and equilibrium-swollen films of PE PEG2000; (b) swelling
properties of the segmented copolymers and corresponding EWCs; (c)
stability study of PE PEG2000, plotted as weight variation versus
time; segmented copolymers are as follows: (■) PE PEG2000,
(●) PU PEG2000, (▲) PU PEG4000, and (◆) PU PEG8000.Water absorption during soaking
was measured gravimetrically and
is plotted as a function of swelling time in Figure b. All samples were 0.5 mm thick disks with
a diameter of 25 mm. The equilibrium amount of the absorbed water
increased with PEG weight fraction from 75% for PE PEG2000 to 92.5%
for PU PEG8000. All polymer samples showed similar swelling kinetics:
86–90% of the amount of water absorbed at equilibrium is taken
up in the first 30 min upon soaking, and equilibrium was reached in
less than 6 h for all samples.The hydrogels are insoluble in
water. The stability over longer
periods of time was tested for PE PEG2000, mechanically the most stable
material. A sample stored in water showed no weight loss over a time
of 50 days (Figure c). The stability of the same polymer was also studied in a 10% (w/v)
solution of sodium dodecyl sulfate (SDS). After 5 days, the hydrogel
had completely dissolved. This indicates that surfactant molecules
were able to significantly weaken the hydrophobic interactions, resulting
in disruption of the network and solubilization of the hydrogel.[38]
Structural Characterization: SANS Analysis
Since segmented
copolymers are able to form mechanically robust hydrogels, we propose
a morphology for the micellar network as illustrated in Figure , in which the network is formed
via aggregation of hydrophobic (DFA) segments. These units microphase-separate
from the hydrophilic PEG segments, driven by hydrophobic interactions.
Considering that the volume fraction of DFA component in the copolymers
is relatively low (6.7%, 12.7%, and 22.7% for PEG8000, PEG4000, and
PEG2000copolymers, respectively), and according to the theory of
block copolymer self-assembly, we may safely assume the morphology
of the DFA nanodomains to be spherical.[39−41] Then, they act as cross-link
points that are bridged and surrounded by PEG chains, which results
in the formation of a classical multifunctional network. In order
to investigate in detail the microstructure and nanoscale morphology
of the prepared hydrogels, SANS measurements were performed.
Figure 4
Physically
cross-linked network of PEG-DFA hydrogels; DFA hydrophobic
aggregates (in red) and PEG chains (in black). RHS is equivalent hard sphere radius according to Percus–Yevick
model; RM is mean micellar radius.
Physically
cross-linked network of PEG-DFA hydrogels; DFA hydrophobic
aggregates (in red) and PEG chains (in black). RHS is equivalent hard sphere radius according to Percus–Yevick
model; RM is mean micellar radius.SANS data were recorded for four
hydrogels (PE PEG2000, PU PEG2000,
PU PEG4000, and PU PEG8000) at room temperature, at their equilibrium
swelling state, as well as in a more concentrated regime. As we are
interested in the size and spacing of the associating DFA domains,
for reasons of accuracy data were recorded in pure D2O
only. These domains are diluted in the gel, consisting of PEG and
D2O which constitutes thus a three-component system. Absolute
scattering intensities vs scattering vector q are
shown in Figure a.
Below, the data are first described qualitatively, followed by discussion
in full detail.
Figure 5
(a) SANS intensity profiles for hydrogel samples in D2O at different concentrations; spectra have been shifted vertically
for clarity. The symbols represent experimental data, while the red
solid curves represent model fits. (b) SANS profiles of three samples
with different PEG chain lengths (2K, 4K, and 8K); inset shows correlation
between D and PEG molecular weight. (c) Kratky plots
of all samples.
(a) SANS intensity profiles for hydrogel samples in D2O at different concentrations; spectra have been shifted vertically
for clarity. The symbols represent experimental data, while the red
solid curves represent model fits. (b) SANS profiles of three samples
with different PEG chain lengths (2K, 4K, and 8K); inset shows correlation
between D and PEG molecular weight. (c) Kratky plots
of all samples.All spectra exhibit similar
intensity profiles, even at different
concentrations, which suggests that all hydrogels have similar nanoscale
structures. All profiles show the presence of a distinct peak at a
characteristic q value varying between 0.03 and 0.09
Å–1 as a function of the parameters of the
gels. The position of the peak maximum qmax is indicative of a characteristic distance in real space and can
be related to an average spacing between DFA nanodomains.[29,42,43] According to Bragg’s law,
the spacing D is given by D = 2π/qmax. Similar diffraction peaks have been observed
in PEG-based hydrogels with high functionality cross-link points.[44] In the present hydrogels, DFA domains act as
massive cross-link points with concentrated scattering length density
and therefore show up as distinct scattering objects.It is
evident from Figure a that the position of the peak varies among the samples and
depends on both concentration and composition. Upon dilution of PE
PEG2000 from 50 to 25 wt % (swelling equilibrium), the spacing increases
from D = 70 Å to D = 78 Å.
Similarly, for PU PEG4000 the spacing increases from D = 108 Å at 25 wt % to D = 134 Å at 12.5
wt % (swelling equilibrium), and for PU PEG8000D increases from 165 Å at 25 wt % to 175 Å at 7.5 wt % (swelling
equilibrium).For each of these polymers, the number density
of the nanodomains
(which is proportional to 1/D3) decreases
more slowly than the weight fraction of polymer, indicating that the
size of the domains decreases with dilution (see below for a detailed
discussion).Since the D spacing depends on
the weight fraction
of DFA segments in the polymer, it will depend on the PEG chain length
as well. The profiles plotted in Figure b indeed show that qmax shifts to lower values as the molecular weight of PEG is
increased. The correlation of peak position and spacer length indicate
that the PEG spacers primarily set the characteristic D spacing (Figure b, inset). Similar dependency of D spacing on concentration
and PEG molecular weight has been reported for other PEG based networks
or gels.[45−47]In addition, all spectra show a smooth, featureless
upturn toward
the lowest q scattering vectors, which is most likely
due to network defects or structural heterogeneities on larger length
scale. In related works on gels, thermal and frozen-in concentration
fluctuations have been made responsible for this extra scattering
intensity.[48] Whereas a semidilute solution
of chains in a solvent is typically described by an Ornstein–Zernike
model in terms of the mesh size ζ ∼ 20 Å typically
of the blob network and would imply I(q) ∼ IOZ/(1 + (qζ)2) ∼ q–2, the introduction of cross-links intrinsically leads to regions
which are less accessible or fully deprived of solvent.[42] Their scattering contributions are caught by
a Debye–Bueche law, I(q)
∼ IDB/(1 + (qζ)2)2 ∼ q–4, where now the correlation length corresponds to frozen inhomogeneities.
Anticipating the evaluation, since none of these limiting power laws
can be recognized and experimentally an exponent between 2 and 3 is
observed, we may already conclude that both length scales are probably
of the same order of magnitude. In Figure c we present the SANS data in so-called Kratky
plots, where the interdomain peak is emphasized and parasitic scattering,
corresponding to any type of inhomogeneities encountered in polymer
gels, is minimized.[49]In a study
performed by Saffer et al.[47] a SANS analysis
of covalently cross-linked, tetrafunctional PEG
hydrogels was also examined. In several aspects the system is similar
to the present, in terms of exploring the effect of different chain
length of PEG on the hydrogel microstructure. However, the characteristic D spacing is only observed for the shortest PEG used (4K)
at sufficiently high concentration, and it was not considered in the
fitting to the correlation length model. In our hydrogels, due to
a large hydrophobic moiety used, the correlation peak is present even
at lower concentrations because the phase separation is much more
pronounced; therefore, we were able to go further and analyze in detail
the morphology of the phase-separated domains as well as the interaction
distances between them.Quantitatively, more insight into the
nanostructure of the hydrogel
networks can be obtained by fitting the experimental SANS data to
a theoretical model. The total scattering intensity of a general three-component
mixture can be written aswhich due to incompressibility,
i.e. the volume
conservation hypothesis, can be rewritten aswhere the
indices 1, 2, and 3 here refer to
the DFA clusters, PEG chains, and D2O solvent, respectively.[50−52] The solvent was used as the background component and was eliminated,
so only its contrast remained.The partial structure factor S(q) is defined
as ϕVP(q) for noninteracting
components with volume fraction ϕ, volume of the scatterer V, and (intraparticle or intrachain) form factor P(q). Interaction between the DFA clusters
is included by multiplying their P(q) by the hard-sphere Percus–Yevick (PY) structure factor SHS(q). The latter is well discussed
in the literature and is not repeated here.[53−55] The cross-term S(q) which
describes the correlation between DFA and PEG is considered low, not
only due to the front factor that can be neglected in the
present concentration range of DFA but also to the missing structural
correlation between the morphology of the cluster and the PEG chains.
This assumption of putting S12(q) ∼ 0 corresponds thus to dispersing unattached
DFA clusters, characterized by S11(q), into the gel. Latter is equivalent to a small-angle
X-ray (SAXS) experiment which does not distinguish between D2O and PEG due to comparable electron densities.To estimate
the contribution of the PEG chains, given by the S22(q) terms, in view of the
dilution degrees, we may average the gel phase over PEG and D2O, yielding an average ⟨ρs⟩
= ϕ2ρ2 + ϕ3ρ3. If ρ3 is substituted by ⟨ρs⟩ and using (1 – ϕ2) = ϕ1 + ϕ3, we obtainThe second part of the intensity is identified
with the gel scattering and S22(q) leads to the previously discussed extra scattering, i.e. S22(q) = S22(0)/(1 + (qζ)) ∼ S22(0)(1 – (qζ)) at low q. Here, m is the generalized exponent, experimentally
2 < m < 3. For qζ =
1 this contribution vanishes. If we set the lower bound of intensity
which can be reliably detected as about 0.01 cm–1, i.e., 5 times lower than the experimental incoherent scattering
level of the D2O solvent, the correlation length is of
the order of ∼100 Å (∼D from the
qualitative description). Assuming that in these networks spherical
aggregates of DFA are formed, interacting according to a Percus–Yevick
hard-sphere interaction potential, the distance between their centers
of mass can be obtained from a fit to the eq , including SHS(q) in S11(q) and taking into account an additional incoherent background of
the hydrogenous components. The solvent was subtracted before. In
the evaluation of S11(q), we have assumed that the DFA clusters have a Gaussian distribution:with w being the weight and R the DFA cluster radius. Rm is the mean radius of the distribution with standard deviation σ.The resulting spherical form factor
⟨P(q)⟩, accounted
for polydispersity, is given aswithAlthough the distribution is normalized by
definition, and the integration is performed numerically, the denominator
corrects for eventual cutoffs. In the local monodisperse approximation,
the PY structure factor is independent of the polydispersity.In total, a description with the above form and structure factor
provides values for the mean radius of the DFA micelles Rm, their distribution width σ, and the equivalent hard-sphere radius RHS. As can be seen from Figure a, a reasonable agreement was found between experimental
data and the model function, except for the sample PU PEG2000 at 25
wt %, which is most likely due to some larger macroscopic inhomogeneities
present in the sample. However, even though the fit is not perfect,
by qualitative analysis we assessed that the scattering profile, being
similar to the rest of the samples, describes the same structural
features. Good fits were obtained for our samples over the large q region, including the medium q range,
which contains the most important information on the structure, unlike
in the work of Saffer et al.[47] where the
peaks were left out of consideration. The fitted parameters are shown
in Table . Whereas
we mostly relied on the q-dependence of the intensity,
we further emphasize the complementary power of the calibration of
scattering in absolute units. If the forward scattering intensity
at q = 0 of the DFA cluster S11(0) is calculated, using the former assumption of the preaveraged
solvent mixture, and from this volume the average radius ⟨R⟩, then an agreement with Rm within 5% is obtained. This internal consistency sustains
the value of the absolute calibration as well as the used model.
Table 2
Fitted and Calculated Structure Parameters
of PEG-DFA Hydrogels
sample
mean micellar
radius Rma [Å]
σRa [Å]
micellar
equivalent hard-sphere radius RHSa [Å]
micellar
radius Rb [Å]
aggregation
number Naggb
PE PEG2000 25 wt %
32.9 ± 0.3
4.6 ± 0.2
40.8 ± 0.2
35.1 ± 1.8
188 ± 30
PE PEG2000 50 wt %
26.8 ± 0.6
2.7 ± 0.5
38.7 ± 0.2
40.2 ± 3.8
283 ± 82
PU PEG2000 50 wt %
29.3 ± 0.4
2.9 ± 0.4
42.2 ± 0.2
43.7 ± 3.9
363 ± 93
PU PEG4000 12.5 wt %
56.0 ± 0.7
11.6 ± 0.3
58.3 ± 0.2
38.9 ± 4.3
258 ± 86
PU PEG4000 25 wt %
40.0 ± 0.6
7.3 ± 0.4
57.9 ± 0.2
41.5 ± 2.2
310 ± 49
PU PEG8000 7.5 wt %
63.6 ± 1.0
18.6 ± 0.5
82.2 ± 0.3
35.6 ± 2.2
196 ± 36
PU PEG8000 25 wt %
65.6 ± 1.2
19.6 ± 0.6
80.7 ± 0.2
52.5 ± 3.4
632 ± 124
Percus–Yevick
fit parameters
to SANS data from hydrogels in D2O at room temperature.
Calculated from the average
intermicellar
distances from the scattering profiles.
Percus–Yevick
fit parameters
to SANS data from hydrogels in D2O at room temperature.Calculated from the average
intermicellar
distances from the scattering profiles.Furthermore, from the average intermicellar distances,
and by applying
the law describing the distribution of the nearest neighbor in a random
packing of particles (micelles), it was possible to estimate the number
density of micelles. The following equation was employed:where n is the number density
of micelles.[56] Moreover, from the micellar
concentration and known volume fractions of the DFA component in the
samples, it was also possible to derive the volume of a single micelle
of DFA and consequently its mean radius R. Finally,
the aggregation number of micelles, Nagg, corresponding to the number of DFA units per micelle was obtained
from the additivity of volumes:where dDFA, NA, and MW(DFA) are
the density of the DFA, Avogadro’s number, and the molecular
weight of DFA, respectively, and R is the micelle
core radius calculated from the average intermicellar distance. The
calculated values for micelle core radius R and aggregation
number N are listed
in Table . From the
calculated values, we observe that DFA micelles are characterized
by an increase in the mean core radius R as a function
of both polymer concentration and PEG molecular weight, going from
35.1 to 52.5 Å. In most of the samples the radius obtained by
fitting the full q-range with the PY model is within
error range (σ) of the radius calculated
from the D spacing. As expected, Nagg show similar dependencies on the concentration and
PEG molecular weight, ranging from 188 to 632.Overall, the
SANS analysis suggests that the present hydrogel networks
are formed via the self-assembly of DFA units into spherical domains,
representing the cross-link points. Considering that the density number
of micelles is in the range of 1019–1020 micelles/L and the average aggregation numbers are large, we can
conclude that there is a strong phase separation between DFA domains
and PEG swollen matrix. These results provide strong support for the
network structure proposed in Figure .
Viscoelastic Properties of Hydrogels and
Cross-Link Density
The viscoelastic properties of the PEG-DFA
based hydrogels were
determined via oscillatory shear rheology measurements. Figure a,b displays log–log
plots of the shear moduli as a function of strain (γ) and angular
frequency (ω), respectively. Strain sweep measurements (γ
= 0.01–100%) were performed in order to determine the extension
of the linear viscoelastic region for these materials. With the exception
of PU PEG8000, which only starts yielding at around 15% strain, the
hydrogels have moduli independent of the strain amplitude up to 4%,
after which they start yielding. This is most likely due to the presence
of long PEG8000 chains which contributes to increased flexibility
of the system. Unless stated otherwise, in the rheological measurements,
maximum strain was 0.1%, to stay within the linear viscoelastic regime. Figure b shows the frequency
dependence of the moduli. The pattern is typical of that of chemical
and other strongly interacting physical hydrogels.[29,57,58] At a concentration of 25 wt %, the storage
modulus G′(ω) is frequency independent,
whereas the loss modulus G″(ω) has very
weak dependence in the frequency range of 0.1–100 rad/s for
all hydrogels. Nonetheless, G″(ω) displayed
a slight upturn toward lower frequencies, indicating a structural
relaxation process and therefore a certain dynamic, nonpermanent nature
of these hydrogels.[58,59] This is also evident when the
loss tangent (tan δ = G″/G′) is plotted against frequency, which shows an upturn of
tan δ with a decrease of frequency (Figure c). This feature indicates an increase of
viscous contributions to the material’s response. However,
given that for all samples G′ is larger than G″, our hydrogels show predominant solid-like, elastic
behavior within the range of frequencies studied. This indicates that
the lifetime of the reversible cross-links in the system is longer
than the slowest time scales accessed in our oscillatory rheology
experiments.
Figure 6
(a) Strain sweep at ω = 1 rad/s at 25 °C and
25 wt %
concentration of all hydrogels; (b) frequency sweep at γ = 0.1%
at 25 °C (■, PE PEG2000; ●, PU PEG2000; ▲,
PU PEG4000; ◆, PU PEG8000; black symbols, G′; red symbols, G″); (c) loss factor
tan δ as a function of angular frequency, calculated from the
data in part b; (d) dependence of G′ and G″ on the molecular weight of PEG (closed symbols, G′; open symbols, G″).
(a) Strain sweep at ω = 1 rad/s at 25 °C and
25 wt %
concentration of all hydrogels; (b) frequency sweep at γ = 0.1%
at 25 °C (■, PE PEG2000; ●, PU PEG2000; ▲,
PU PEG4000; ◆, PU PEG8000; black symbols, G′; red symbols, G″); (c) loss factor
tan δ as a function of angular frequency, calculated from the
data in part b; (d) dependence of G′ and G″ on the molecular weight of PEG (closed symbols, G′; open symbols, G″).The mechanical properties of the
gels depend strongly on their
composition, in particular on the molecular weight of PEG incorporated
in the system. This dependence is shown in Figure d. The hydrogel with the shortest PEG segments
(PEG2000) has higher values of G′ and G″ than the other gels. This observation is in good
agreement with the previously discussed swelling and EWC studies,
which show similar trends. In fact, as the molecular weight of PEG
decreases, the amount of the retained water is also lower, reflected
in a lower EWC. As a consequence, the resulting hydrogel is stiffer.The rheological measurements show that indeed G′ decreases with increasing molecular weight of PEG. In general,
the elastic shear modulus G′ of a network
depends on the density of elastically active segments and on the cross-link
functionality as expressed in eq .[60,61]Therefore, assuming that
all DFA segments are aggregated, we estimated
the modulus of each gel based on the density of PEG chains, which
can be calculated directly from the degree of swelling and the composition
of each segmented copolymer.where υe is the cross-link
density due to chains, υ2 is the volume fraction
of the segmented copolymer, R is the gas constant, T is the absolute temperature, and f is
the functionality of the cross-links. This is valid if we assume that
the present system is a phantom network, which generally is true for
the transient and nonentangled networks. Furthermore, according to
the SANS analysis (Table ), aggregation numbers are large in these hydrogels, so the
cross-link functionality f is expected to be large
as well. Therefore, (1 – 2/f) ∼ 1 and
virtually affine behavior is observed.[27,61] The volume
fraction υ2 was calculated by using the equation
described by Gundogan:[62]where qf is the
ratio of the weights of the swollen gel and originally dried sample, dp is the polymer density, and ds is the density of water (1.00 g/mL). The values of different
parameters, including calculated chain densities and resulting moduli
are listed in Table .
Table 3
Parameters, Cross-Link Densities,
and Moduli of Hydrogels at 25 °C
sample
qf
υ2 (volume fraction)
dp [g/mL]
υe (chain density) [mol/m3]
G′ predicted [kPa]
G′ measured [kPa]
PE PEG2000 25 wt %
4
0.22
1.15
98
89.1
194
PU PEG2000 25
wt %
4
0.22
1.15
98
89.1
172
PU PEG4000 25 wt %
4
0.22
1.17
54.9
49.9
55.5
PU PEG8000 25 wt %
4
0.22
1.18
29.2
26.6
26.8
The predicted
modulus G′ for PU PEG4000
and PU PEG8000 is very close to experimentally observed values. At
the same volume fraction of the polymer, the modulus of the hydrogel
is inversely proportional to PEG segment molecular weight. Indeed,
PU PEG4000 is twice as stiff as PU PEG8000 (49.9 kPa compared to 26.6
kPa). However, according to this observation, the modulus for PE PEG2000
and PU PEG2000 hydrogels is expected to be around 89 kPa, whereas
experimentally found values are 194 and 172 kPa, respectively. Crowding
of the hard spheres of the DFA micellar clusters may contribute to
the higher modulus of the gel with the shortest PEG segments. These
spheres have an effective radius that is increased by crowding of
the PEG chains at the interface of the micelles. In the PEG2000 gels
these spheres form a larger volume fraction than in the PEG4000 and
the PEG8000 gels.
Transient and Reversible Nature of the Hydrogel
Networks
Dynamic properties and transient character of these
hydrogels were
investigated with rheology measurements, in particular stress relaxation
and dynamic amplitude tests. Figure shows stress relaxation profiles of all four hydrogels.
An initial step strain of 0.1% was applied and in all hydrogels the
stress relaxation response was similar. Two regimes could be distinguished:
at short times, stress decreased fast. This response at short time
scales can be related to the changes occurring in the chain conformations
in the network. A second regime indicated relatively slow response,
but the stress had a decreasing trend even beyond the probed time
scale. In this phase, structural changes were taking place. We propose
that relaxation in the slow regime corresponds to a structural reorganization
enabled by escape of DFA units from micelles. Since the hydrophobic
segments are quite large, the interactions are very favorable, and
it is expected that the disengagement of the DFA segments from the
micellar cores is slow.
Figure 7
Stress relaxation of PEG-DFA hydrogels at 25
wt % after a step
strain of 0.1%.
Stress relaxation of PEG-DFA hydrogels at 25
wt % after a step
strain of 0.1%.Stress relaxation is
different for the four samples. In particular,
the PU PEG8000 showed a stronger contribution of the fast component
to the overall stress relaxation than the PEG2000 gels. For the former,
50% of stress was released after 30 s, whereas for the latter gel
it took 76 s. After instantaneous application of strain, relaxation
of the longer PEG segments in PU PEG8000 dissipate a larger fraction
of the elastic energy than in the gels with shorter PEG segments.
Overall, the relaxation profiles are typical of transient networks,[58,63] but here the relaxation process related to the dynamics of hydrophobic
cross-links occurs at times longer than the experimental time scale
of 1000 s.In order to assess reversible character of the association
present
in the network, dynamic strain amplitude test was performed on PE
PEG2000 hydrogel, and the response is displayed in Figure . The test consisted of performing
alternating time and strain sweep measurements. First, time sweep
was done at constant frequency (ω = 1 rad/s) and strain (γ
= 0.1%), within the linear viscoelastic regime (Figure a). No variations in G′
and G″ were observed over 600 s, indicating
stable structure and consistent solid-like behavior of the hydrogel.
When the sample was subjected to an increasing strain, ranging from
0.1 to 100% at 1 rad/s frequency (Figure b), G′ and G″ were constant at small strains, but above a critical
strain of 4%, G′ and G″
strongly decreased. At 25% strain, a crossover point was observed,
and the gel started to exhibit fluid-like character. However, when
the strain was reduced back to 0.1%, the original moduli were almost
immediately and fully recovered, with G′ > G″ (Figure c). Thus, the gel shows yield behavior which is completely
reversible (Figure d–g).
Figure 8
Dynamic strain amplitude test of PE PEG2000 at 25 °C
for three
alternating time sweep–strain sweep cycles (a–g).
Dynamic strain amplitude test of PE PEG2000 at 25 °C
for three
alternating time sweep–strain sweep cycles (a–g).
Temperature-Dependent Rheology
In order to investigate
the effect of temperature on the viscoelastic properties of the hydrogels,
a temperature sweep experiment was performed on the PE PEG2000 saturated
hydrogel. Shear moduli were monitored at 1 rad/s while the temperature
was varied from 25 to 75 °C. Figure a shows that G′ decreased
with temperature, whereas G″ almost remained
constant, although G′ > G″ up to 65 °C, at which temperature the gel became fluid-like.
The gel to sol transition is completely reversible. Upon cooling at
the same rate, both moduli increased toward higher values, as the
hydrophobic association were being re-formed. At 25 °C the stiffness
was fully recovered, and no hysteresis was observed during cooling.
This indicates that the hydrogel presents thermoplastic properties.[64,65]
Figure 9
(a)
Temperature dependence of G′ (closed
symbols) and G″ (open symbols) for PE PEG2000
with heating and cooling rates of 2 °C/min and at ω = 1
rad/s and γ = 0.1%. (b) Master curve obtained by time–temperature
superposition, based on frequency sweeps recorded at 15, 25, 35, and
50 °C, with 25 °C taken as reference. (c) Horizontal shift
factors (α) plotted as a function
of 1/T (dashed red line is the exponential fit to
the Arrhenius equation).
(a)
Temperature dependence of G′ (closed
symbols) and G″ (open symbols) for PE PEG2000
with heating and cooling rates of 2 °C/min and at ω = 1
rad/s and γ = 0.1%. (b) Master curve obtained by time–temperature
superposition, based on frequency sweeps recorded at 15, 25, 35, and
50 °C, with 25 °C taken as reference. (c) Horizontal shift
factors (α) plotted as a function
of 1/T (dashed red line is the exponential fit to
the Arrhenius equation).To get more insight into thermal viscoelastic behavior of
these
materials, frequency sweeps were performed at temperatures ranging
from 25 to 65 °C, and a time–temperature superposition
(TTS) master curve was constructed, which makes it possible to obtain
frequency-dependent viscoelastic response over much larger frequency
range. Construction of such a master curve is usually not possible
for supramolecular dynamic networks, where multiple processes with
different activation energies contribute to the relaxation.[66] However, for the PE PEG2000 hydrogel, a fairly
decent superposition of viscoelastic responses at different temperatures
was obtained, by applying both vertical and horizontal shifts (Figure b). The crossover
point was observed at ω = 6 × 10–4 rad/s.
From this value, a relaxation time of 10 470 s is derived,
confirming therefore long relaxation times of the present systems.
This is in accordance with the previously discussed stress relaxation
data.Frequency (horizontal) shift factors (α), plotted against 1/T followed
typical Arrhenius
behavior (Figure c).
The activation energy Ea for stress relaxation
in the gel can be estimated to be 140 kJ/mol using eq .It is tempting to correlate
this activation
energy to the activation energy for escape of a DFA unit from a micelle.
In the temperature-dependent rheology studies on HEUR derivatives
performed by Annable,[21] a linear relation
was derived between the activation energy (Ea in kJ/mol) and the number of carbon atoms (n) present in the linear alkyl segments. The relationship was successfully
applied by Kadam and co-workers in their studies on associating polymers.[67]The equation predicts an activation energy
of 197 kJ/mol for a DFA segment, which has 34 carbon atoms, a somewhat
higher value than the value of 140 kJ/mol determined from the Arrhenius
plot. Part of this difference may be related to the smaller hydrophobic
surface area per carbon atom for DFA than for the linear alkanes from
which the relationship was derived. It should be noted that this activation
energy, while still significantly smaller than a typical sp3–sp3 single covalent C–C bond (∼350
kJ/mol), it is close to the bond energy of weaker covalent bonds,
therefore approaching the highest levels of activation energy that
can be accommodated without irreversibly breaking covalent bonds.
Tensile Properties
Uniaxial tensile and cyclic loading
tests were performed on equilibrium swollen PE PEG2000 (25 wt % in
water), the gel which proved to be the most robust during handling.
The results of tensile testing are displayed in Figure a as the stress–strain
response, whereas derived parameters are listed in Table . The hydrogel displayed following
results: tensile modulus ET = 0.55 MPa,
elongation at break εB = 1055%, tensile strength
σT = 0.51 MPa, and tensile toughness UT = 4.12 MJ/m3.
Figure 10
Tensile
properties of PEG-DFA hydrogels: (a) stress–strain
response of PE PEG2000; (b) recovery under cyclic loading at different
maximum strains (inset plot shows more closely the behavior at 5 and
10% strain).
Table 4
Mechanical
Tensile Properties of PE
PEG2000 at 25 wt %
ET, tensile modulus
(MPa)
σT, tensile strength (MPa)
εB, elongation at break (%)
UT, tensile toughness (MJ/m3)
0.55 ± 0.05
0.51 ± 0.05
1055 ± 42
4.12 ± 0.22
Tensile
properties of PEG-DFA hydrogels: (a) stress–strain
response of PE PEG2000; (b) recovery under cyclic loading at different
maximum strains (inset plot shows more closely the behavior at 5 and
10% strain).Note that the rubber-like
elasticity[61] of the hydrogel is corroborated
by the classical theory with ET = 2G(1 + ν), where
ν is the Poisson ratio. If we take ν = 1/2 (incompressible
rubbers) for the present system, we get ET = 0.58 MPa. This is comparable to the value obtained from the stress–strain
curve, suggesting a good agreement between rheology and tensile testing.The mechanical properties are similar to those observed for other
hydrogels based on segmented copolymers. In particular, the hydrogel
developed by Cui et al.,[68] based on hydrophobically
modified linear polyurethane–ureacopolymers, exhibited similar
elongation at break and toughness (εB = 570–1130%
and UT = 4.2–7.55 MJ/m3). Remarkable mechanical behavior was also seen in the hydrogel system
described by Meijer and co-workers.[28] Both
referenced hydrogels are based on a synergistic effect of H-bonding
and hydrophobic interactions. The present PEG-DFA hydrogel, however,
is entirely based on hydrophobic association, which proves that if
the interactions are sufficiently strong, tough hydrogels can still
be obtained. The incompatibility between copolymer segments (PEG and
DFA) results in phase-segregated DFA nanodomains, which act as robust
physical cross-links.The overall mechanical response and toughness
of the present hydrogel
were greater than those of other hydrophobically modified hydrogels,[10,69] with σT = 71 kPa, εB = 313% for
polyacrylamide hydrogels modified with N-octylacrylamide
and σT = 78–212 kPa, εB =
980–1830% for polyacrylamide hydrogels modified with octylphenol
polyoxyethylene acrylate. Okay’s group also showed that it
was possible to make use of large hydrophobes, such as C18 and C22,
which contributed to stronger hydrophobic association in the network
and therefore improved toughness (σT = 15 kPa, εB = 2500%).[20] With the current polymers,
high-toughness hydrogels are obtained by using even larger units (C36).
Moreover, these properties are obtained without the use of micellar
copolymerization preparation method to incorporate hydrophobic units,
and therefore the hydrogels are stable for a longer time at the swelling
equilibrium state, without dissolving or becoming more fragile.Interestingly, PE PEG2000 hydrogel approaches some of the mechanical
properties of the PAMPS/PAAm double-network (DN) hydrogel.[17] The PAMPS/PAAmDN is quite strong mechanically
and is characterized by the following parameters: ET = 0.1–1.0 MPa, σT = 1.0–10.0
MPa, and εB = 1000–2000%. This is remarkable,
considering that PE PEG2000 is a single-network, supramolecular hydrogel.These excellent mechanical properties are primarily due to DFA
phase-separated domains acting as physical cross-links. In particular,
the high modulus is due to a high cross-link density of PE PEG2000,
as estimated previously. The DFA aggregates are multifunctional cross-linkers,
as domains are composed of many DFA units. The high elongation at
break is a result of the ability of DFA domains to dissipate energy.
As the material is strained, DFA units dissipate energy by escaping
the hydrophobic domains, yet the multifunctionality of the micelles
maintains integrity of the network and keeps permanent deformation
due to viscous flow. The energy dissipation provides toughness because
it creates resistance to crack propagation[10,58] and therefore allows elongation of the gel up to 10 times its original
length.Furthermore, cyclic loading–unloading tensile
tests were
performed on the same material at maximum strains between 5 and 100%,
at low strain rates (0.5 mm/min). The results of these measurements
are shown in Figure b. Interestingly, PE PEG2000 showed completely reversible, elastic
behavior without permanent set at strains up to 10% (Figure b, inset). At larger strains
the hydrogel did not completely recover its original dimensions and
showed some permanent set, probably due to breakup of part of the
DFA aggregates. The large hysteresis in these cyclic tests corresponds
to a significant amount of dissipated energy (63 kJ/mol at 100% strain)
and confirms the role of the physical cross-links in the viscoelastic
properties of the gels.
Conclusions
We have developed an
easy and scalable, surfactant-free preparation
method for single network, tough physical hydrogels based on hydrophobic
interactions. SANS measurements helped elucidate the micellar microstructure
of the hydrogels, while rheology was used to establish reversible,
yet long-lived cross-links. PE PEG2000 has excellent mechanical properties,
including a high tensile strength (0.51 MPa), high elongation at break
(1055%), toughness (4.12 MJ/m3), and full recovery following
deformations up to 10% strain. Such a high toughness is among the
highest described for physical hydrogels based entirely on hydrophobic
association. The high strength of the hydrophobic interactions of
the DFA units in the micelles is responsible for a high activation
energy for viscous flow of 140 kJ/mol. Upon straining, this results
in a large dissipation of energy without breaking covalent bonds,
contributing to the toughness of the material. The high functionality
of the micellar cross-links limits structural changes, leading to
little permanent set, even though there are no covalent cross-links.The purely physical nature of the network in segmented PEG-DFA
hydrogels offers the advantages of being easily handled, recyclable,
and processable, which increases potential use of this material, in
particular in applications where the heterophase structure in aqueous
media could be exploited for potential controlled delivery applications
of hydrophobic and amphiphilic therapeutic agents.[70]The high modulus of PEG-DFA hydrogels, especially
PE PEG2000, makes
it potentially suitable for load-bearing applications in tissue engineering,
such as in cartilage replacement.[71]
Authors: Dale J Waters; Kristin Engberg; Rachel Parke-Houben; Laura Hartmann; Christopher N Ta; Michael F Toney; Curtis W Frank Journal: Macromolecules Date: 2010-08-24 Impact factor: 5.985
Authors: Mingyu Guo; Louis M Pitet; Hans M Wyss; Matthijn Vos; Patricia Y W Dankers; E W Meijer Journal: J Am Chem Soc Date: 2014-05-06 Impact factor: 15.419
Authors: Gajanan M Pawar; Marcel Koenigs; Zahra Fahimi; Martijn Cox; Ilja K Voets; Hans M Wyss; Rint P Sijbesma Journal: Biomacromolecules Date: 2012-11-28 Impact factor: 6.988
Authors: A C H Pape; Maartje M C Bastings; Roxanne E Kieltyka; Hans M Wyss; Ilja K Voets; E W Meijer; Patricia Y W Dankers Journal: Int J Mol Sci Date: 2014-01-16 Impact factor: 5.923