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High Frequency Viscoelastic Characterization of Thermally
Aged Silicone Elastomers using Quartz Crystal Microbalance
Joshua Yeh1 , Randy Schmidt2 and Kenneth R. Shull1
1 Department
of Materials Science and Engineering, Northwestern University, Evanston, IL, 60201, USA;
2 Dow Corning Corporation, Midland, MI, 48686, USA
[email protected]
1
Introduction
was introduced at the midpoint of one of the edges
of the sample and the midsection of the sample was
colored in with a permanent marker in order to increase the contrast of the propagating crack edge relative to the background. Increasing the contrast of
the crack edge enabled an accurate measurement of
the crack length from an image correlation program
in MATLAB. The sample was placed between two
metal grips and pulled at a constant strain rate until
the onset of crack propagation was visibly observed.
A constant grip displacement was then maintained
as the crack propagated. The applied force and
applied strain were measured, and were correlated
with the crack length determined from video images
of the sample collected throughout the experiment.
This information was used to obtain the energy release rate, using standard methods.
Prolonged exposure of elastomeric materials to high
temperatures can cause material embrittlement leading to crack propagation and premature material
failure. Thus, a mechanistic understanding of the
aging properties of elastomers is of high importance
in improving fracture toughness of soft materials in
high temperature applications. The high frequency
visocelastic properties (in the MHz frequency range)
that accompany aging events can be quantified with
a relatively new technique utilizing the quartz crystal microbalance (QCM). The QCM provides an ideal
non-destructive characterization method that provides real-time measurements of mechanical properties of thin films. These characteristics provide an attractive alternative to conventional destructive, fracture testing of materials, which require a relatively
large sample volume and number of tests. Also,
the simplicity of QCM measurements allows for
high throughput measurements that are not easily
achieved with conventional fracture testing methods. In this study, the viscoelastic properties of a
model silicone material system undergoing thermal
aging is measured with a QCM and correlated with
values of the modulus and fracture toughness obtained from pure shear fracture tests.
2
2.1
2.2
Quartz crystal microbalance measurements
A two-part model silicone material system, OE6630,
provided by Dow Corning, was synthesized by combining two monomer mixtures, parts A and B, with
a stoichiometric ratio of 1:4 wt. ratio, respectively.
The combined monomer mixture was dissolved in
toluene and spuncast onto a 5 MHz QCM crystal (Inficon, East Syracuse, NY). The solvent content was
determined based on the desired film thickness. The
deposited thin silicone film was cured at an elevated
temperature for a set amount of time, both parameters chosen based on the type of QCM measurement. For the in situ curing experiment the properties were monitored continuously while the sample
was cured at 80 ◦ C, a temperature near the upper
range that was compatible with the QCM electronics. For the thermal aging experiments, the film was
cured at 150 ◦ C for one hour and subsequently aged
Experimental
Pure shear fracture testing
Cured 1.5 mm thick slabs of the model silicone elastomer, OE6630, were provided by Dow Corning
(Midland, MI). The cured slabs were cut into 38 x 38
mm square samples and exposed to a high temperature environment, 200 ◦ C, for a designated amount
of time. Once aged, a notch with a length of 2 mm
1
for an extended period of time at 200 ◦ C. Measurements made on the thermally aged thin film were
performed at room temperature. All temperature
treatments and QCM measurments were done in the
ambient atmosphere. An analysis developed by DeNolf et al. [1] was utilized to extract out viscoelastic
property information from the raw QCM data. This
analysis is conceptually similar to the previous analysis of Lucklum et al. [2, 3], but provides additional
information by considering data from multiple resonant harmonics of the quartz crystal.
3
|G∗ | ρ, and φ, where d, ρ, |G∗ |, and φ represent the
deposited film thickness, density, magnitude of the
complex shear modulus, and viscoelastic phase angle, respectively. Values of | G ∗ | and φ correspond
to the fundamental resonant frequency of 5 MHz.
The density of the silicone material was estimated
to be ∼1 g/cm3 , a value that was used to convert
measured values of |G∗ | ρ to | G ∗ |. The simultaneous
measurement of the QCM φ allows for the determination of the storage modulus (G 0 = |G∗ | cos φ) and
loss modulus (G 00 = |G∗ | sin φ) as well.
Table 1: Calculated shear modulus of aged silicone
samples from fracture testings and QCM measurements.
Results and Discussion
3.1
Pure shear fracture testing results
Day
0
1
2
13
14
2
Energy release rate (J/m )
8000
6000
4000
Day 13
2000
Day 1
0 −3
10
−2
−1
0
1
2
10
Figure 1: Relationship between energy release rate
and crack velocity for aged and unaged samples.
From the recorded load-displacement data and
video data, the energy release rate and crack velocity were calculated for each sample, with the results shown in Figure 1. Data for unaged samples
for a range of crack velocities are included, in addition to data for samples aged for different times
at 200 ◦ C. As the material thermally aged, the modulus increased substantially, and crack propagation
occurred at much lower applied strains. The crack
velocity for a given energy release rate increased as
the aging time increased as well.
3.2
G 0 (5 MHz)
(MPa)
G 00 (5 MHz)
(MPa)
738
744
749
810
815
857
854
849
793
787
From the in situ results shown in Figure 2, the total mass remained relatively constant. The increase
in the shear modulus and decrease in the phase angle is due to the curing process of the silicone at
80 ◦ C. The thermal aging results displayed a similar trend in the changes of viscoelastic properties.
The slight decrease in mass at the longest times is
likely caused by oxidative processes that can occur
at 200 ◦ C in this case. Comparing Figures 2 and 3, the
higher shear modulus and lower viscoelastic phase
angle at t = 0 min from Figure 3 indicate that the thermally aged sample was stiffer than the 80 ◦ C cured
sample. This can be explained by the differences in
sample preparation. Specifically, the thermally aged
sample was previously cured at 150 ◦ C for 1 hour
and the sample used for the in situ experiment was
curing at 80 ◦ C.
Day 2
Day 14
10
10
10
10
Crack velocity (mm/sec)
G (MPa) tensile
test
0.49
1.9
2.1
17
31
3.3
Comparison between QCM and pure
shear fracture tests
A comparison between the calculated shear moduli from the two measurements is shown in Table 1.
Both methods displayed an increase in shear modulus as a function of the aging time at 200 ◦ C. However, the calculated shear moduli between the two
techniques differed significantly. This difference was
primarily due to the very different time scales of the
two measurements. The QCM measurement gives
Quartz crystal microbalance results
As described by DeNolf et al. [1], information is
extracted from the QCM experiments by measuring both the resonant frequency and bandwidth of
the crystal response at multiple resonant frequencies. From the measured quantities, we extract dρ,
2
7
11
1.915
1.91
1.905
0
10
t (hours)
x 10
31
10
φ (deg.)
|G*|ρ (Pa−g/cm3)
dρ (g/m2)
1.92
9
8
0
20
10
t (hours)
20
30
29
28
0
10
t (hours)
20
5
t (days)
10
Figure 2: Measured film properties during curing at 80◦ C.
8
8
4.65
4.6
0
5
t (days)
10
x 10
8
7.5
7.5
φ (deg.)
|G*|ρ (Pa−g/cm3)
dρ (g/m2)
4.7
7
6.5
0
7
6.5
5
t (days)
10
6
0
Figure 3: Properties of a cured silicone film measured at room temperature as a function of the aging time at
200◦ C.
the viscoelastic properties at a 5 MHz frequency. The
inverse of this frequency corresponds to a time scale
that is being probed by the QCM device, a time scale
that is about 7 orders of magnitude smaller than
the relevant time scale for the pure shear test. We
are currently in the process of using traditional dynamic mechanic testing at different temperatures to
verify that these differences are quantitatively consistent with the frequency dependence of the linear
viscoelastic properties of these materials.
4
terials used in these experiments, and our current
efforts are focused on correlating these changes to
the changes in the observed fracture toughness and
stress-strain behavior at low strain rates.
References
[1] DeNolf, G. C. et al. High Frequency Rheometry
of Viscoelastic Coatings with the Quartz Crystal Microbalance. Langmuir 27, 9873–9879 (2011).
URL http://dx.doi.org/10.1021/la200646h,
PMID: 21766810.
Conclusions
The results presented here are preliminary measure- [2] Lucklum, R. & Hauptmann, P. Determination of
polymer shear modulus with quartz crystal resments of the fracture toughness and high frequency
onators. Faraday Discuss. 123 (1997).
viscoelastic properties of silicones after thermal aging at elevated temperature. The most significant [3] Lucklum, R., Behling, C., Cernosek, R. W. & Marchange in the fracture properties after aging of these
tin, S. J. Determination of complex shear modumaterials at 200 ◦ C is that the crack propagation oclus with thickness shear mode resonators. Jourcurs for lower values of the far-field strain, consisnal of Physics D: Applied Physics 30, 346 (1997).
tent with the observed mechanical stiffening of these
materials. The QCM measurements of the viscoelastic properties in the MHz frequency range are sensitive to the cure and aging state of the silicone ma3