3.1. Temperature Sweep Tests
The comparison of dynamic moduli, i.e., storage (G′) and loss (G″) modulus, for PIB materials before (UNT) and after (T) structural changes is presented in
Figure 2. The temperature dependency of dynamic moduli during the first heating from 20 °C to 180 °C is presented for PIB 1 with blue and for PIB 2 with red curves, respectively. For both PIB materials used, the storage modulus (elastic response) decreased with increasing temperature in the lower temperature range studied. The lowest values of G′ were obtained around temperature 90 °C for (UNT) PIB 1 and 100 °C for (UNT) PIB 2, respectively. At these temperatures, structural changes in the materials were induced and the elastic modulus of PIB 1 started to increase, while the elastic modulus of PIB 2 levelled off. On the other hand, the viscous contribution to viscoelastic behavior, (G″), decreased over the entire temperature range for both PIBs examined. However, a more pronounced decreasing was observed in the lower temperature range. After the first heating, the samples were cooled to the initial temperature of 20 °C and heated again in the same temperature range. The second heating is shown in
Figure 2 for both samples, presented with black curves. The results show that the structure of the samples in the second heating was changed as the storage moduli of both samples gradually decreased with increasing temperature over the whole temperature range studied, with no minimum detected. Moreover, as the temperature exceeded 140 °C, the values of storage modulus before (UNT) and after (T) structural changes reached values that were almost the same as in the first heating, indicating the stabilization of the structure.
The damping ratio tan δ, defined as the ratio of loss and storage modulus, indicates elastic and viscous contributions to viscoelastic response, here used to identify the critical temperature at which the material undergoes structural changes. By increasing the temperature, the viscous part becomes more important; hence, tan δ increases; however, due to structural changes at the critical temperature, the elastic part increases; thus, tan δ decreases through the remaining temperature range. The critical temperatures were, for both PIB materials, determined as the temperatures where the maximum tan δ curve occurred (inserts in
Figure 2). For the (UNT) PIB 1 sample, the maximum value of tan δ was determined at about 83 °C, while, for the (UNT) PIB 2 sample, the maximum tan δ was at about 85 °C. The peaks of tan δ for the tempered (T) PIB 1 and PIB 2 samples were not distinct. Moreover, in the whole temperature range studied, the (T) PIB 1 and 2 samples exhibited lower values of tan δ compared to the (UNT) samples. This indicates that the structure of the tempered samples exhibited a lower viscous contribution to the viscoelastic response, resulting in a more stable structure of these materials.
From the above-mentioned results, we can conclude that the (UNT) and (T) PIB samples exhibited a solid-like viscoelastic behavior, where the thermal stability was improved in the tempered samples. Moreover, since the temperatures in multi-layer glazing elements exceed 80 °C, the material undergoes structural changes. It is reasonable to believe that this also improves the long-term viscoelastic behavior of the sealant. The structure of the PIB material in the insulation glazing units should be stable in order to avoid the unwanted deformations of the sealant; therefore, the isothermal characterization of PIBs from −20 °C to 60 °C (below the temperature of structural changes) and from −20 °C to 180 °C (above the temperature of structural changes) was performed to provide detailed information on the temperature-induced structural changes and long-term viscoelastic behavior of the studied materials.
3.2. Frequency Tests of PIBs at Various Temperatures
Figure 3 shows the results of frequency tests, i.e., isothermal segments of G′ and G’’, in the temperature range from −20 °C to 60 °C for (UNT) PIB 1 (
Figure 3a,b) and PIB 2 (
Figure 3c,d) samples, respectively. The G′ increased with increasing frequency and decreased with increasing temperature. This typical shape of curves shows that, in the low-frequency range, the molecular chains have enough time to react and start to disentangle. The result of this process is a reduction in storage modulus as time increases (decreased frequency). In the case of increased temperature, the thermal fluctuations, and the free volume increases, result in higher mobility of the molecules (faster relaxation process) [
27] and consequently lower elastic modulus. At high frequencies, the molecular chains have no time to disentangle, and the storage modulus increases as the molecules respond as one entangled system. On the other hand, lowering the temperature reduces thermal fluctuations and free volume, which reduces the mobility and disables the process of chain disentanglement, resulting in the same effect on storage modulus as observed at high frequencies. To summarize, the increasing frequency or decreasing temperature have a similar effect on the polymer chain relaxation as they lead to lower mobility of the polymer chains. On the other hand, decreasing frequency or increasing temperature activate polymer chains relaxation, which increases molecular mobility. In the case of PIB as a main sealant in multi-layer insulating structures, temperature fluctuations can lead to functional failure. As temperature decreases, PIB material transitions from liquid-like to solid-like behavior, resulting in reduced sealing functionality. On the other hand, as temperature increases, the material transitions from solid-like to liquid-like behavior, which again leads to structural failure as the material could rupture already under small external loads. The viscous response of the samples was observed from the frequency-dependent loss modulus (
Figure 3b,d) G″, which represents the factor proportional to dissipated mechanical energy during one loading cycle. G″ increased with increasing frequency and decreased with increasing temperature for both samples. The values regarding loss moduli were slightly higher for the PIB 2 sample at all temperatures, indicating a slightly higher consistency of this material compared to PIB 1, which was also observed during temperature sweep tests (
Figure 2).
To evaluate the behavior of the examined PIB materials through a wider frequency range and longer period of time, the frequency–temperature superposition was used to construct master curves at the reference temperature of 20 °C from isothermal segments dynamic moduli (
Figure 4). For (UNT) PIB 1 and (UNT) PIB 2 samples (before the polymers were exposed to temperatures higher than 60 °C) the obtained master curves are presented in
Figure 4a. A significant difference in frequency dependent viscoelastic behavior of the samples can be clearly observed, especially in the low frequency range. As previously observed, the PIB 1 sample exhibited lower values of dynamic moduli compared to PIB 2 sample in the whole frequency range examined. The difference was more pronounced in the frequency range below 1 Hz, where (UNT) PIB 1 entered the terminal region, exhibiting flow behavior. At longer times, the (UNT) PIB 1 sample exhibited unstable liquid-like behavior, which was, however, not observed for the (UNT) PIB 2 sample since the PIB 1 sample contains smaller molecular chains, which will be presented in the continuation. Furthermore,
Figure 4b shows a temperature dependence of horizontal shift factors log a
T obtained during the construction of (UNT) PIB 1 and 2 master curves at a reference temperature of 20 °C. This so-called thermal shift function may be understood as the amount of temperature necessary to accelerate/decelerate the relaxation process. The results obtained indicate that high temperatures have a higher effect on the relaxation process of PIB 1 compared to PIB 2, which is in line with the generated master curves. For this reason, the relaxation time spectrum H(λ) was generated (
Figure 4c), which, in addition to modelling the material behavior, describes the relaxation of molecular chains or groups of chains. The relaxation time λ may be understood as the response time of a certain molecular group (corresponding to their length), while the magnitude H may be understood as the contribution of this molecular group to the viscoelastic response (corresponding to their number). Considering this, it is clear that (UNT) PIB 2 has a higher number of long molecules than (UNT) PIB 1 as its H(λ) values are higher at longer relaxation times (
Figure 4c). Moreover, the material with higher molecular weight would also exhibit a longer relaxation process since long molecules need more time to reconfigure, which may be observed through relaxation modulus G(t) (
Figure 4d).
As can be seen in the insert of
Figure 2, the peaks of the tan δ curve were detected at about 80 °C, which indicates the temperature at which structural changes of PIB polymers started to occur. The changes in molecular structure affected the viscoelastic response of both PIB samples. In real application, the PIB as a primary sealant in multi-layer insulating glazing units is exposed to temperatures up to 110 °C. These temperatures can lead to different deformations of PIB sealants and therefore to disfunction of insulation products. To evaluate if we can avoid these deformations and the deterioration of the insulation during its lifetime, both samples were tempered for 10 min at the temperature of 180 °C to accelerate the structural changes.
Figure 5 shows the frequency test results for tempered (T) PIB 1 and PIB 2 samples, respectively, in the temperature range from -20 to 180 °C. Similar to (UNT) samples, the storage modulus increased with increasing frequency and decreased with increasing temperature for both (T) samples. The (T) PIB 1 sample exhibited higher temperature dependence of storage modulus than (T) PIB 2. Moreover, the values of both moduli, i.e., storage and loss, were higher for PIB 2 compared to PIB 1. After the structural changes, the moduli of tempered (T) PIB 1 and (T) PIB 2 (
Figure 5) were higher at the same temperature than before structural changes (
Figure 3). Minor differences after structural changes were observed in the values of the loss modulus.
By applying the frequency–temperature superposition principle, master curves for both (T) PIB 1 and 2 samples (after structural changes) were constructed at reference temperature 20 °C. The master curves are presented in
Figure 6a. The results showed that, after structural changes, both the (T) PIB 1 and 2 samples exhibited very similar viscoelastic behavior throughout the examined frequency range. In the low frequency range, the storage modulus of (T) PIB 1 was slightly lower and decreased more significantly with decreasing frequency.
Figure 6b presents the temperature-dependent horizontal shift factors log a
T determined during the construction of master curves. The results indicate that lower temperatures have a strong effect on the relaxation process for both PIB samples. The difference between log a
T of (T) PIB 1 and 2 samples is negligible. Moreover, the obtained results indicate that, after temperature conditioning of the PIB 1 and 2 samples, the structure changes resulted in a stable structure with rather comparable values of average molecular weight for both PIB materials. Furthermore, the relaxation time spectra H(λ) (
Figure 6c) for both (T) PIB samples were very similar. Additionally, (T) PIB 2 exhibited a longer relaxation process (
Figure 6d), which was attributed to the higher amount of molecular groups with relaxation times from 0.01 s to 10 s (
Figure 6c).
The comparison of master curves for (UNT) and (T) samples PIB 1 and PIB 2 is presented in
Figure 7. It can be seen that the differences in viscoelastic behavior of (UNT) and (T) samples for both PIB 1 and 2 materials are significant through a wide frequency range. After thermal treatment, the (T) PIB 1 and PIB 2 samples exhibited a solid-like response even at lower frequencies (longer times), which was observed as the flow behavior being shifted for over ~6 decades to lower frequencies (prevalence of G″ or decreasing of G′). From the molecular dynamics perspective, such a shift implies large structural changes, i.e., molecular growth, as larger molecules require longer times (excitation) at low frequencies to disentangle.
To evaluate the validity of the frequency–temperature superposition principle, Van Gurp–Palmen (vGP) plots were constructed from isothermal segments of phase shift angle δ vs. complex shear modulus
G* (
Figure 8). For thermo-rheologically simple materials (vGP), the plots should be temperature-independent [
28]. The results confirmed that the vGP plots were temperature-independent, implying the thermo-rheological simplicity of PIB materials and justifying the use of applied analytical tools, i.e., superposition principles, spectral analysis, and obtained predictions.
Furthermore, the vGP plots indicate the changes in molecular structure through the number and the position of local minimums. The values in phase shift angle at the minimum indicate the arm length and the width of molecular weight distribution, while the value of complex modulus
at phase shift angle minimum (δ
min) indicates the degree of branching, where higher
values indicate higher branching of the molecules [
24]. The values of complex modulus are usually determined at the intersection of two tangent lines from local minimum.
Figure 9 presents the comparison of vGP plots for PIB 1 (
Figure 9a) and PIB 2 (
Figure 9b) before (UNT) and after (T) structural change, respectively. The results show that the phase shift angle (δ) was reduced after structural changes throughout the examined range of complex shear modulus. Moreover, the phase shift angle values of (T) PIB samples were lower compared to the values of (UNT) PIB samples, i.e., below 45°, indicating the domination of elastic behavior and higher degree of crosslinking [
23,
25]. Furthermore, the (UNT) PIB 1 and 2 samples exhibited a single minimum, indicating that the material is mostly composed of entangled linear polymer chains. It has already been reported that as many as 430 entanglements per chain can occur in PIB [
26]. However, the lower value of complex modulus at local minimum for (UNT) PIB 1 (2.8 MPa) indicates lower molecular weight compared to (UNT) PIB 2, where the local minimum was determined at a complex modulus of 4.2 MPa. If we compare the two samples, we can see that the minimum value of δ for the (UNT) PIB 2 sample (δ
min = 17.3°) was lower compared to (UNT) PIB 1 (δ
min = 22.1°), which indicates a larger arm length and therefore wider molecular weight distribution in the PIB 2 sample.
The results obtained show that, as the PIB materials were exposed to high temperatures, their structure changed, which was indicated by two local minimums as well as the transition from monomodal to bimodal molecular weight distribution (
Figure 10). The comparison of vGP plots for both samples after structural changes is presented in
Figure 10a. The first minimum for the (T) PIB samples was observed at complex modulus 0.4 MPa for PIB 1 and 0.45 MPa for PIB 2, which is in line with the wider molecular weight distribution of residual molecules for sample (T) PIB 2. Furthermore, the values regarding phase shift angle were smaller for (T) PIB 2 (δ = 12.5°) compared to PIB 1 (δ =15.2°), which indicates that the side chains of PIB 2 are larger. The second local minimum of tan δ could also be related to the degree of chemical reaction of various additives with PIB in the primary sealant. For the (T) samples, the second local minimum was observed at the values of complex modulus
G*
δmin-2 3.6 MPa for PIB 1 and 5.4 MPa for PIB 2, respectively, which means that the (T) PIB 2 contains larger branched molecules. The values in phase shift angle in the second local minimum were very similar, i.e., 14.3° for (T) PIB 1 and 14.5° for (T) PIB 2; however, in the case of (T) PIB 1, the second δ
min was observed at lower values of complex shear modulus.
For detailed understanding and connection of previous results, the molecular weight distribution (MWD) was calculated from the relaxation time spectrum [
29,
30], generated from the frequency sweep tests from −20 °C to 180 °C. The molecular weight distributions before (UNT) and after (T) structural changes are presented in
Figure 10b. A single peak of the molecular weight distribution was for (UNT) PIB 1 sample centered at 4.5 × 10
4 g/mol, while, after structural changes ((T) PIB 1), an additional peak occurred at approximately two decades higher values, i.e., at 1.1 × 10
6 g/mol. The same trend was observed for the PIB 2 sample: (UNT) PIB 2 sample exhibited a peak of molecular weight at 3.4·10
5 g/mol, while the second peak for (T) PIB 2 was determined at 1.9 × 10
6 g/mol. A narrower molecular weight distribution was observed for sample (UNT) PIB 1, where the full width at half maximum (FWHM) value was determined at 9.1 × 10
3 g/mol. After structural changes, the (T) PIB 1 sample exhibited a wider molecular weight distribution with significantly higher FWHM value (1.1 × 10
6 g/mol). The difference in the values of FWHM for PIB 2 sample was smaller; i.e., the FWHM for (UNT) PIB 2 was 3.2 × 10
5 g/mol and for the (T) PIB 2 1.4 × 10
6 g/mol, respectively. In the (T) PIB 1 and 2 samples, the bimodal molecular weight distribution was observed, where the peak at lower molecular weights represents a group of residual molecules, while the peak at higher molecular weights represents highly entangled branched molecules. One of the calculated parameters was also a polydispersity index (PDI), defined as a quotient of mass average molecular weight (Mw) to number-average weight (Mn). Before structural changes, the (UNT) PDI values of PIB 1 and 2 were determined to be 2.98 and 5.96, respectively. After structural changes (T), the PDI values of PIB 1 and 2 increased to 10.48 and 8.04, respectively. As observed from the PDI values, after structural change, the width of MWD increases as a result of branching. Moreover, due to increased temperature, the viscosity decreases, and the macromolecules can diffuse more easily through the phase, which enables the boosting of the intra-entanglement and consequently leads to higher molecular weight [
31,
32] of the (T) samples.