3.1. In-situ microstructures of steel at different cooling rates
The solidification phase diagram and phase fraction during the solidification of S33207 steel was calculated by Scheil-Gulliver and equilibrium modules in Thermo-Calc, the results are shown in
Figure 1. The Scheil-Gulliver module can calculate the actual solidification path of DSS S33207 under a non-equilibrium state, and provide a basis for the solidification sequence in-situ observation by HT-CLSM. According to
Figure 1, the solidification sequence of S33207 steel calculated by both modules belonged to the Ferrite-Austenite mode (FA): L(liquid)→L+δ (ferrite)→L+δ+γ (austenite). It indicated that the δ-ferrite phase started to form first and δ→γ transformation at the terminal stage of solidification of steel. The morphologies of crystallization phases can vary depending on the cooling rate, which is discussed in detail in the following part.
Figure 2 presents some representative micrographs of phase formation during the solidification process of DSS S33207 by in-situ observation at a cooling rate is 4 °C/min. When the molten steel was supercooled to 1482.7 °C, the L→δ transformation began to occur, and the formation of cellular δ phase can be observed on the surface of the sample. It should be pointed out that a thin δ layer formed outside of the liquid poor at the beginning of the solidification (
Figure 2 (a)). It is generally believed that the crucible provided a core for heterogeneous nucleation of new phase formation during the solidification observation by HT-CLSM. Due to the slow cooling rate of liquid steel, pro-eutectoid δ-ferrite solidified in the form of cellular crystals. With the decrease in temperature, the number of δ-ferrite nuclei increased and the grains gradually grew up and coarsened. When the δ-ferrite cell grew to some extent, some cells gradually approached and merged into a large irregular δ cell, and there was no obvious boundary between the cells after merging (
Figure 2 (b)). With further cooling, more δ cells would merge together and the remaining liquid between the δ cells became less and less (
Figure 2 (c)). The growth of δ-ferrite was completed when the area of δ cells was not obviously increased based on the HT-CLSM observations. Some amount of liquid was still present after the ferrite growth was complete (
Figure 2 (d)), which has been reported in previous works [
27,
28].
The nucleation and growth process of the δ-ferrite phase with a cooling rate is 150 °C/min is shown in
Figure 3. It should be mentioned that the focus of the initial stage of δ-ferrite nucleation from the liquid poor was not clear enough during the HT-CLSM observations at this high cooling rate. Therefore, the formation temperature of δ-ferrite on the liquid surface was not determined correctly. More δ-ferrite cells can be formed simultaneously at the beginning of the solidification process compared to that of the low cooling rate. This indicated that a fast cooling rate favored primary δ-ferrite nucleation. The increase of the cooling rate during the solidification process of steel increased the supercooling of the liquid steel composition, which promoted the increase of the nucleation rate of δ-ferrite phase, which was beneficial to the refinement of δ cell crystals. Besides, the δ-ferrite phase formed at a higher temperature than that of a slow cooling rate (
Figure 3 (a)). This tendency was opposite to previous works [
22,
29], where a higher cooling rate resulted in a higher supercooling degree of melt and lower crystallization temperature of δ-ferrite. The reason for the different results in the current work should be studied further. The δ-ferrite grew quickly and a similar merging phenomenon was observed with a temperature decrease. Besides, clear interphase boundary that usually separated these phases was observed (
Figure 3 (b)). Under a high cooling rate, an obvious δ-ferrite growth layer was observed outside of the original δ cells due to the unstable growth characteristics of δ cells. The liquid area was pushed by the growth of δ-ferrite during the late stage of the solidification process and then a volume shrinkage occurred between δ-ferrite phase boundaries (
Figure 3 (c)). The growth rate of δ-ferrite decreased due to less liquid left at this stage. With a further decrease of temperature, the area of δ-ferrite slowly increased and kept at a stable value (
Figure 3 (d)). This remaining liquid area was the place where the localized transformation from δ-ferrite to γ-austenite at a lower temperature [
22]. Generally, the concentration of segregated elements increased greatly in the remaining liquid, where serious segregation happened [
27]. The segregation can result in the decrease of solidifying temperatures for steel. Along with time passing, the δ-ferrite to γ-austenite transformation started at the δ-ferrite boundaries (
Figure 3 (e), (f)). This finding is similar to that of Li et al. [
21] and Zhang et al. [
22], who reported that δ→γ transformation occurred accompanied by significant volume shrinkage.
However, the start temperature of δ-γ transformation cannot be obtained accurately based on current observations. It was reported that the δ-γ phase transformation started earlier and occurred at a higher temperature in S32101 DSS based on the concentric solidification technique with the increase of cooling rate [
18]. However, Sun et al. [
17] found that starting temperature of the δ-γ transformation at the slow cooling rate was higher than that at the rapid cooling rate in an S31308 DSS. Besides, the slow cooling rate more strongly favored nucleation and growth of γ-phase than the rapid cooling rate due to the fact that higher diffusion rates of elements and longer diffusion time were obtained at a lower cooling rate.
The area fraction of ferrite in multiple sets of video screenshots during the solidification process at different cooling rates and temperatures were measured by ImageJ software, and the Avrami equation was used to fitting the relationship between the area fraction of ferrite and time and temperature, the results are shown in
Figure 4. The Avrami equation (1) [
30,
31] describes the crystallization of undercooled liquids into a solid state.
where
fδ is the area fraction of δ ferrite,
n is the Avrami coefficient,
k is the overall growth rate constant, and
t is the solidification time after the nucleation of δ ferrite.
It can be seen from
Figure 4 (a) that the area fraction of δ ferrite increases with time, and it has a higher growth rate at a high cooling rate. In addition, the growth rate of δ ferrite shows smaller values at the initial and late stages of the solidification and higher value at the stable stage of the solidification process. As mentioned before, the formation point of δ ferrite in liquid was not obtained correctly, so the area fraction of δ ferrite curve was obtained using the Avrami fitting function when the fitted linear correlation coefficient (R
2) was greater than 95%. Furthermore, the area fraction of ferrite is less than 1 due to the adverse effects of undulating cellular morphology on the depth of observation field in the HT-CLSM image, which is more prominent at a high cooling rate. The fitted equations between the area fraction of δ ferrite (
fδ) and time in the cases of cooling rate of 4 °C/min and 150 °C/min are expressed by equations (2) and (3), respectively. The rate constant k represents the velocity at which liquid transforms to solid. According to the fitted equations, the larger growth rate constant can be obtained under the fast cooling rate, which indicates the larger growth rate of δ ferrite. This can be explained by the different number density of nucleation and total growth time for the δ ferrite. Specifically, the time for δ ferrite growth under the slow cooling rate is almost three times longer than that in the fast cooling rate.
The growth of δ ferrite finishes in a narrow temperature range (less than 10 °C) at the cooling rate of 4°C/min, while a much wider temperature is obtained at the cooling rate of 150 °C/min (
Figure 4 (b)). In particular, δ ferrite starts to form at a higher temperature and the growth ends at a lower temperature in the case of fast cooling compared to that of slow cooling. The on-set and peak temperatures of S33207 steel are 1479.2 ºC and 1481.3 ºC obtained by DSC measurements, where the on-set temperature relates to the δ-ferrite formation. It is known that supercooling phenomenon usually occurs in the solidification process of steel, so the ferrite formation temperature should be lower than the liquidus temperature of steel. From the in-situ CLSM observation results of the solidification process, the δ-ferrite formation temperature was higher than the liquidus temperature of steel under two different cooling rates. This can be attributed to the different cooling rates between the DSC and HT-CLSM measurements and also the temperature difference between the surface of the melt and the bottom of the crucible in the HT-CLSM.
In terms of maximum and average diameter changes of δ ferrite (
Figure 4 c), the maximum diameter of δ ferrite slowly increases at the beginning, and begins to increase rapidly when the δ ferrite grows to a certain extent. The maximum and average diameter changes of δ ferrite show a similar tendency in the case of slow cooling, while the average diameter of δ ferrite gradually increases during the whole solidification period under a fast cooling rate. As a result, the average diameter of δ ferrite at the end of the solidification stage is approximately 80 μm at the cooling rate of 150 °C/min compared to 460 μm at the cooling rate of 4 °C/min. It can be indicated that the faster cooling rate can result in a larger size of δ ferrite. Moreover, the larger number density of nucleation sites of δ ferrite at the beginning of solidification can be found in the case of a high cooling rate, as shown in
Figure 4 (d). The peak of the number density of nucleation sites curves indicates that no new nucleation sites can be formed after that point, and the existing nucleation phases start to grow and merge to form bigger cells. In combination with the evolution of the number density of nucleation sites and the diameter of δ ferrite change during the solidification of steel, we can conclude that a slow cooling rate favored the growth of δ ferrite, whereas a high cooling rate favored the nucleation of δ ferrite.
In conclusion, the size of the grain size will be finer as the cooling rate increases, the morphology comprises smaller grains and the solidification behavior will commerce faster. This information can guide the actual continuous casting process of DSS S33207s.