3.4. Crystallization
Figure 4 (a) and (b) show the secondary heating DSC curves, and the cooling crystallization curves of the PLA blends, respectively. The glass transition temperature (
Tg), cold crystallization temperature (
Tcc), and melting temperature (
Tm) of the polymer can be seen in
Figure 4(a), and the specific values are shown in
Table 1. Compared with PLA, the heating curves of PLA/PBMG and PLA/PBMG/CNC1 blends do not change significantly, which indicates that the fillers do not affect the crystallization process of PLA. The
Tg of PLA/PBMG and PLA/PBMG/CNC1 blends shift to lower temperature, which is consistent with the results of the DMA test. At the same time,
Tcc and
Tm also move towards lower temperature, which is attributed to the heterophase nucleation effect of the PBMG and PBMG/CNC1. This indicates that the addition of PBMG and PBMG/CNC1 promoted the movement of PLA chain segments [
43], so that the PLA chain segments have sufficient movement ability to conduct regular arrangement and crystallize at low temperature. The lower the cold crystallization temperature, the more imperfect the crystal form would be, which leads to the melting peak moving to the low temperature direction. Moreover, there are two different melting peaks in the PLA, which indicates that incomplete crystals are formed during crystallization [
44].
The crystallinity (
Xc) [
45] can be calculated by Equation (2):
Where
ΔHm0 is the melting heat of 100% crystallization of PLA,
f is the weight percentage of PLA, where the content of powder is 10%, so
f is 0.9. The
ΔHm0 of pure PLA is 93.7 J/g [
45]. Relevant values are summarized in
Table 1. It can be seen that the addition of fillers has improved the crystallization of PLA, and more so with the PLA/PBMG/CNC1 blend.
Figure 4(b) is the DSC curves of cooling crystallization at a cooling rate of 1.5
oC/min. The crystallization temperature (
Tc) of PLA/PBMG and PLA/PBMG/CNC1 blends are higher than that of PLA. This indicates that PBMG and PBMG/CNC1 act as nucleating agents in PLA and provide more nucleation sites to induce crystallization, which makes it possible to crystallize at a higher temperature during the cooling process.
3.5. Nonisothermal crystallization kinetics
A crystallization kinetics study was performed to investigate the effects of time, temperature, and cooling rate on crystallization behavior. The crystallization behavior of polymers is usually performed under non-isothermal conditions, so in this study non-isothermal crystallization kinetics of PLA and its blends were explored.
Figure 5 shows the DSC curves of the PLA and its blends with a cooling rate of 1.0, 1.5, 2.0, and 3.0
oC/min, respectively.
Tp is the crystallization peak temperature where the crystallization rate reaches the maximum, and
T0 is the temperature when crystallization starts. It can be seen from
Figure 5 that both
Tp and
T0 of PLA move to the lower temperature and the crystallization peak becomes wider as the cooling rate increases. At a lower cooling rate, there is enough time to activate the nucleus at a higher temperature. During this time, the movement speed of the polymer segment is faster than the cooling speed, and there is enough time to complete the crystallization, so the crystallization temperature becomes higher. On the other hand, at a faster cooling rate,
TP moves to low temperature at which the mobility of molecular chains is poor, and the degree of perfection of crystallization is lower. It takes more time for the polymer chains to arrange into crystal lattices, and the crystallization peak becomes wider.
The relative crystallinity
X(t) is the ratio of the peak area from the initial crystallization temperature(
T0) to any temperature(
T) and the peak area from
T0 to the end crystallization temperature(
T∞) [
46], which can be calculated by Equation (3).
The temperature (
T) can be converted into time (
t) by Equation (4), where
T is the temperature at
t and
β is the cooling rate. Then the
X(
t)-
t curve is obtained, as shown in
Figure 6.
Half crystallization time(
t1/2) defined as the time to complete 50% of crystallization is an important parameter of crystallization performance.
Table 2 shows the
t1/2 under different cooling rates. As the cooling rate increased, the crystallization time decreased. In other words, the time to reach the same crystallinity became shorter, as shown in
Figure 6. At the same cooling rate, the
t1/2 of the modified PLA blends was shorter than that of PLA. Moreover, with the increase of cooling rate, the
t1/2 of PLA/PBMG/CNC1 blend continued to decrease, especially at higher cooling rates, which indicates that PBMG/CNC1 had greater influence on the crystallization properties at higher cooling rate.
The Avrami equation [
46,
47], Equation (5), is commonly used in isothermal crystallization process. The equation can be written in double logarithmic form as shown in Equation (6).
Where
K is a composite rate constant involving both nucleation and growth rate parameters;
n is the Avrami index, a mechanism constant, which depends on the type of nucleation and growth rate parameters.
However, the non-isothermal crystallization process is more complex than the isothermal crystallization process, and it is closer to the actual fabrication process. Therefore, Jeziorny [
48] extended the Avrami equation to the process of non-isothermal crystallization [
49]. The modified Avrami equation is shown in Equations (7) and (8).
Where
Kc is the modified crystallization rate constant, and
β is the cooling rate. The graphs of lg[-ln(1-
X(
t))] versus lg
t are shown in
Figure 7. They demonstrate that the polymer and the blends have similar properties, and the curves slightly deviate from linearity. This is because of secondary crystallization in the polymer and the two different crystal growth rates in the low crystalline region and the high crystalline region [
29]. The intercept and slope, namely lg
K and
n, can be obtained by curve fitting, and
Kc and
t1/2 can be calculated using Equations (7) and (8) giving the results shown in
Table 3. In
Table 3, the value of
n is between 2.5-3.4, that is closer to 3, which indicates that the spherulites grew in a plate-shape with time [
50]. As the cooling rate increased, the crystallization rate constant,
Kc, increased and
t1/2 decreased, indicating that the crystallization rate of PLA gradually increased. Compared with pure PLA at the same cooling rate, the
Kcs of PLA/PBMG and PLA/PBMG/CNC1 blends increased, and
t1/2 values decreased, which show that PBMG and PBMG/CNC1 acted as heterogeneous nucleating agents, and produced more nucleation sites in the PLA matrix, thereby accelerating the crystallization rate of PLA.
Ozawa’s equation [
51] is also used to describe the non-isothermal crystallization process [
52]. Ozawa considered that the linear growth rate of spherulites was a function of temperature, and proposed an equation similar to the Avrami equation, as shown in Equation (9).
Where
KT is the cooling function related to the crystallization rate, and
m is the Ozawa index. Although the Ozawa model was derived from the Avrami model, the Ozawa model ignores the secondary crystallization and impact of spherulites [
53], and under different cooling rates, the temperature range of polymer crystallization varies greatly, so lg[-ln(1-
X(
t))] did not have a linear relationship with lg
β, as shown in
Figure 8. In addition, the physical meaning of its cooling crystallization function is not clear. Similar phenomena have been described in other articles [
47,
54].
Therefore, Mo [
55] et al. combined the Avrami equation with the Ozawa equation and proposed a new method to analyze crystallization kinetics parameters, establishing the relationship between cooling rate and crystallization time [
56], as shown in Equations (10) and (11).
where
Z=
KT/
K is the cooling rate per unit crystallization time when the system reaches a certain degree of crystallinity, and
a (
n/
m) is the ratio of Avrami index
n to Ozawa exponent
m.
Figure 9 shows the lg
β-lg
t curves of PLA/PBMG and PL/PBMG/CNC1 blends at different crystallinities. It can be seen that there is a good linear relationship between lg
β and lg
t, which indicates that Mo’s equation can well describe the non-isothermal crystallization process of PLA and its blends. The values of the ratio
a, and cooling rate per unit crystallization time
Z can be obtained from the curves, as shown in
Table 4.
Z increases with the increase of relative crystallinity in the same system indicating that the cooling rate required to reach a certain crystallinity in unit crystallization time is increasing.
Considering the effect of cooling rate on non-isothermal crystallization process, Kissinger [
57] proposed a theoretical model that could determine quantitatively the crystallization activation energy (ΔE) in the non-isothermal crystallization process, as shown in Equation (12).
where
β is the cooling rate,
Tp is the temperature corresponding to the crystallization peak, and R is the gas constant (8.314 J·mol
-1·K
-1). As shown in
Figure 10, a ln(
β/
Tp2)-1/
Tp graph with good linear relationship was obtained. After fitting, the slope of the curve, -ΔE/R, and the calculated ΔE values are listed in
Table 4. It can be observed that the |ΔE| of PLA/PBMG and PLA/PBMG/CNC1 blends is reduced to 155.80 kJ/mol and 147.57 kJ/mol, respectively, compared with the |ΔE| of PLA (156.64 kJ/mol). This indicates that the addition of PBMG or PBMG/CNC1 fillers reduced the crystallization energy barrier and increased the crystallization rate in non-isothermal crystallization process [
52], which in turn improved the crystallization properties of the PLA blends.
Polarizing Microscope
The POM images of isothermal crystallization of PLA and its blends at 115
oC are shown in
Figure 11. It can be seen from the figures that PLA crystals mainly exist in the form of spherulites with uniform size. Compared with PLA, the number of spherulites in PLA/PBMG and PLA/PBMG/CNC1 blends increased, while the size of spherulites decreased after isothermal crystallization for 3 mins. The images show that the spherulites of PLA/PBMG and PLA/PBMG/CNC1 blends have covered the whole region after isothermal crystallization for 10 min. This is because the addition of PBMG and PBMG/CNC1 to PLA matrix plays the role of a heterogeneous nucleating agent, providing more nucleation sites. The fillers accelerated the movement of PLA segment and increased the crystallization rate of PLA, which made the crystal fully crystallized in a shorter time, which is consistent with the analysis results of non-isothermal crystallization process. In addition, the PLA/PBMG/CNC1 blend has higher nucleation density, which indicates that the addition of CNC provides more nucleation sites [
44,
52].