3.2. Interfacial Morphologies
In order to observe the microstructure information on both sides of the interface,
Figure 5 showed the interfacial metallographic micrographs of S6 (200× and 800×), which was similar to the carbon-generated DFZ and the SS-generated CAZ at the bonding interface of the SSC bar stocks [
22] and the clad plates [
16,
23,
24,
25]. The diffusion process resulted in the occurrence of the microstructure and composition gradients. As shown in
Figure 5a, the 316L SS cladding was almost not corroded and there were fewer austenitic grains far from the interfacial bonding (Zone I), while a wide CAZ appeared near the interface of 316L SS (Zone II) with clear, regular, and straight grain boundaries, and smaller grains were located at the high-angle grain boundaries (HAGBs) of the larger grains. There were a wavy or jagged black band at the interface, which was wavy and obviously not smooth (
Figure 5b2, red circle), indicating that it was a high-hardness band (HHB) with rapid changes in elemental composition formed during metal solid-state diffusion bonding [
26]. On one side of HRB400E near the interface, there was a coarse grain layer composed of pure ferrite with a certain thickness (Zone IV). The core organization was a mixture of ferrite and pearlite. The ferrite grains were coarse, the grain boundaries were uneven and a few places were unclear (
Figure 5b). As shown in
Figure 5, both sides of the interface were divided into five zones [
27,
28]: Zone I was the 316L SS cladding (from the outer surface of 316L SS to the CAZ boundary), Zone II was the CAZ, Zone III was the HHB, Zone IV was the DFZ, and Zone V was the HRB400 substrate (from the DFZ boundary to the CS core).
Figure 6 showed the metallographic micrographs of the S7–14 interface (800×). In the process of S6–14, the HHB gradually became smooth and delicate, and the tiny gap between the interfaces was eliminated by the rolling, and the residual inclusions were further fragmented and presented a diffuse state forming a tightly bonded metallurgical interface [
23]. The CAZs of S6–14 were coarse equiaxed grains, and a few fine flat twinning crystals arising within the crystals, among which the twinning crystals of S8 was showed a higher result (
Figure 6b) and the grains of S14 was fine and uniform (
Figure 6h). The thickness of the CAZ was relatively wide, which was different from the studies of Liu et al. and Guo et al. in which the CAZ distribution was not significant (or the CAZ width was very narrow) [
23,
29]. For the DFZ of S6–14, the grain size and thicknesses had little overall variation (
Figure 5b2 and
Figure 6a2–h2). Because it did not contain impurities such as pearlite, oxides, and carbides, the growth of grains existed less impediment and the grains was difficult to refine, so the DFZ was also the region with the largest grain size [
16]. The austenitic grain sizes of zone II were significantly smaller than the ferrite grain sizes in zone IV, and the grain sizes in S14 zones II and IV were 18.1 and 58.8 μm, respectively (
Figure 6h,h2).
In addition, the DFZ of S13 was significantly different from the other passes in that it was a polygonal ferrite (PF) (
Figure 6g2). This was because the spacings of the 1–16# mills in the steel mill were between 2.1–5.0 m, and the spacing of the 15–16# mills was about 58 m. The 15–16# mills were dumming, so the spacing of the 14–17# mills was greater than 65 m. The temperature of CRB showed an obvious drop through the 14# mill to before the 17# mill, and the temperature of CRB rose rapidly because of the 17# mill generating the deformation heat. The temperature of small cross-sectional area of S13 dropped faster after the emergency stop. At this time, a small number of organizations caused static recovery and static recrystallisation, and the PF preferentially nucleated at the original austenitic grain boundaries. Then, a large number of deformation bands existed in the uncrystallized zone, so the PF was generated homogeneously at grain boundaries and on deformation bands. After the emergency stop, the air cooling of S13 also had a partial effect, inhibiting the phase transition of PF.
According to the rolling temperature (
Figure 2c), the intermediate and finish rolling were carried out in the austenitic recrystallisation zone, and the work-hardening (WH), the softening processes of dynamic restitution (DRV), and dynamic recrystallisation (DRX) would occur simultaneously, but the DRX grains had asynchronous properties on both sides of the interface. A large number of DRX grains of the low layer dislocation energy austenitic SS preferentially were generated along the grain boundaries through strain-induced mechanism, but the bias convergence of the more solute atoms and the precipitates at grain boundaries in SS exerted drag forces on the grain boundary bowing out, slowing down the process of DRX and making the degree of DRX not uniform. The temperature of the internal CS side was higher and the precipitates of the diffusely distributed was less, so the DRX preferentially started. When the
-Fe changed to the
-Fe with a high layer dislocation energy after the emergency stop and temperature drop, the DRV played a dominant role.
The interfacial inclusions affect the properties of the interface. As shown in
Figure 7, the black inclusions of S14 interface were detected by EDS, and the results were shown in
Table 3. The elements concentrations of C, Si, and Cr at point 1 were 25.74, 6.97, and 11.75%, respectively, while the O and Mn elements were less. During billet preparation, the O elements remained between the interfaces, and, during the rolling process, the O elements would react to form metal compounds. The maximum solubility of C is known to be 2.11% in austenite and 0.0008% in ferrite. The presence of many chromium-carbide-precipitated phases (Cr7C3 and Cr23C6) in the CAZ was confirmed in the studies of Liu B.X. et al. [
16] and Mas et al. [
30,
31]. Masahiroe Nomura et al. and Li et al.’s studies [
16,
32,
33,
34] pointed out that in high-temperature and high-pressure rolling, the trace O elements remaining between the interfaces would first react to form Fe-O, and then Si and Mn elements with fast diffusion rate would react with Fe-O to produce Mn-Si-O oxide inclusion. Therefore, it was speculated that point 1 consists of more chromium-rich carbides, and a certain amount of Si-Mn-O mixed oxides, and excess Si atoms exist in the ferrite in the form of a solid solution. The low content of C and Si elements at point 2 indicates the presence of a small amount of Si-Mn-O mixed oxides and chromium-rich carbides, with the remaining Cr and Ni dissolved in austenite. At point 3, the C and Si contents were 3.54, 6.82%, respectively, and the contents of Cr and Ni were significantly lower than at points 1 and 2, indicating the presence of Si-Mn-O mixed oxides, free Si atoms, and small amounts of chromium-rich carbides. On the CS side, points 4 and 5 have Si contents of 69.16 and 53.71%, respectively, with no detected Cr and Ni contents, suggesting that these two locations consisted of a small amount of Si-Mn-O mixed oxides and a certain amount of cementite, with most of the Si element in solid solution within the ferrite, thereby strengthening the ferrite.
3.3. The Elements Diffusion Between Interfaces
For a quantitative analysis of interfacial element diffusion, as shown in
Figure 8, S6, S10, S13, and S14 were selected to conduct EDS point scanning on the interface, and the results were shown in
Table 4,
Table 5,
Table 6 and
Table 7. For SS and CS, the concentrations of Fe, Cr, Ni, Mo, and C differed greatly (
Table 1), and elemental diffusion led to obvious fusion in the II–IV zones [
15,
35]. From CS to SS, Fe had a distinct concentration gradient at the interface. From SS to CS, the concentration gradients of Cr, Ni, and Mo changed obviously; the Cr concentration gradient was higher than that of Ni and Mo, and the concentration of the CS side dropped sharply, especially the concentration of Ni and Mo. As shown in points 2–4 of the finished S14 (
Table 7 bold), the Cr concentrations were 16.07–6.12–2.43%, but the Ni concentrations were 9.79–0.74–0.39%, and the Mo concentrations were 1.35–0.03–0.00%. Due to the increase in
Rtot, the extension of CRB was accompanied by a decrease in the thickness of the SS cladding and in the inner diameter of the CS core rod, so a new metallurgical bonding interface was formed on the fresh metal surfaces of the interfaces, increasing the actual metallurgical bonding area of the bimetal. At the same time, the composite time during the S6–14 rolling process was short, resulting in the diffusion distance of the elements becoming thinner and the concentration gradient increasing. Additionally, the Cr element and α-Fe atoms were similar in size and was mutually soluble, resulting in the Kirkendall effect [
36], mainly through vacancy migration to form substituted solid solutions. As a result, the Cr concentration at the CS side interface was relatively higher, while Ni and Mo concentrations were lower.
In
Table 4,
Table 5,
Table 6 and
Table 7, from the CS to the SS, two peaks of C atoms appeared at point 3/4 and point 1 near the interface (bold), showing the clear phenomenon of ‘uphill diffusion’, which was different from the single peak measured by B.X. Liu et al. [
15]. It is assumed that the phenomenon was caused by the following processes: (1) As C was an interstitial atom, the diffusion ability of C was much larger than that of metal elements, and the C content of CS (≤0.25%) was higher than that of 316L (≤0.03%) (
Table 1). The interstitial diffusion of C occurred earlier than that of Fe, Cr, and so on, and the C close to the interface of the CS side entered into the SS side to form interstitial solid solutions with γ-Fe. Moreover, although Ni did not form carbides with C, its diffusion would increase the Q value of C, thereby promoting the diffusion of C. The Cr concentration of point 1 was high on the SS side away from the interface, and C diffused to this point to form a chromium-rich carbide, making the chemical potential of C decreasing. The Cr, Ni, and other replacement diffusion occurred subsequently, and C continued to diffuse to the point 1, so the peak of C was observed at point 1. (2) At the CS side near the interface, the concentration of C decreased, and the diffusion of Cr also formed chromium-rich carbides, which reduced the chemical potential. Therefore, the C of the CS side substrate would diffuse and aggregate towards the interface of lower chemical potential until the potential balance, where another peak of C appeared.
The thicknesses of the CAZ and DFZ were represented by
and
, respectively (
Figure 5a–a2), and the average values of the five-times measurements of S6–14 were shown in
Figure 9. Overall, the
dropped sharply from 832.4 μm to 237.8 μm, showing a parabolic downward trend. The intermediate-rolling drop was 476.4, which the S6–7 suddenly dropped to 573.6 μm and the S7–10 slightly increased and then dropped to 356.0 μm. The S11–14 of finishing rolling decreased from 371.6–237.8 μm, with a reduction of 133.8, which was much smaller than that of intermediate-rolling, and the S12–14 decreased less than that of the S11–12. The
had little overall change ranging from 84.9–98.6 μm. Among them, the S6–8 slightly increased and then decreased, S8–13 continued to rise in a small range, and S13–14 significantly decreased. The diffusion driving force of C was expressed as
; when the chemical potential difference was zero (
), the diffusion stopped, and the substrate C concentration on the CS side of the interface remained basically unchanged, resulting in an essentially unchanged thickness in the DAZ, which existed in similarity with the literature where the thickness of the DFZ was kept at a constant value [
15,
23]. The
of the CAZ thickness was represented by the diffusion distance X of C, calculated by the diffusion law.
The diffusivity of the atoms, expressed as a diffusion coefficient D, follows the Arrhenius equations [
37,
38]:
where
is the diffusion constant (m
2/s
−1),
Q is the diffusion activation energy (J/mol),
R is the gas constant (8.31 J/(mol·K)), and
T is the thermodynamic temperature (K).
The
and
of C in γ-Fe of 316L SS are 10 times and 1.67 times that of α-Fe of CS, respectively [
39,
40]. The rolling heating and holding stage (3 h, 1250–1280 °C) suggested that, when the composite rolling started, the C has been diffusing over a long distance to form a thicker CAZ in 316L [
35], which could be confirmed by the fact that the
of S6 still reached 832.4 μm after six passes of rough rolling. The thickness of the intermetallic phases is directly proportional to the distance of atom diffusion, which can be expressed as follows:
where
k is the coefficient,
X is the elemental diffusion distance (m), and
t is the diffusion time (s). Collating Equations (1) and (2), the C diffusion distance at the end of heating and holding stage and the initial rolling was expressed as follows:
As the rolling kept pressing down, the
of Equation (3) decreased. At the same time after the emergency stop, the C element would still diffuse and increase the CAZ thickness during the process of air cooling. Therefore, the X of diffusion distance consisted of two parts: the retained thickness after the
rolling thinning in the heating and holding stage, and the diffusion thickness after the emergency stop
. At the same time, the larger the cross-section area is, the longer it took to reduce the temperature to room temperature, which caused the diffusion distance on the CAZ to increase. The ratio of the cross-section equivalent diameter (
d) to the effective reference diameter (
) was used to express the section area affectivity, and the ellipse–circle geometric relationship was converted to obtain the equivalent diameter:
. Calculate the diffusion distance
for S6–14:
where
and
are constants; when the C diffuses in γ-Fe,
is 2.0 × 10
−5 m
2/s and
Q is 140 × 10
3 J/mol;
is the internal diameter of the finished S14 product measured at 27.74 mm;
T1 of heating and holding stage takes the intermediate value of the temperature 1538 K and
is 3 h; and
T2 of the air cooling process after the emergency stop is the measured value (
Figure 2c), where S11–12 is the estimated value of 1330 K and
is the estimated value of 0.5 h.
The
values measured by S6, S10, and S14 were selected to solve the system of nonlinear equations, which were successfully converged and solved:
k = 0.12203,
= 1.2391, and
= 1.0539. In addition, the ∆E of the error correction term was also considered, and the sources were mainly as follows: there is a warming process in the temperature of heating and holding stage, which was time-consuming, and the Cr and Mo increased the
Q of C in austenite, which hampered the diffusion of the C element, all of which made the calculated value large, so ∆E was taken as −50 μm. The value of
was calculated, and the results are shown in
Figure 9 and
Table 8. The deviations of S7 and S9 were more than 20%, the deviation of S12 was 13.3%, and the deviations of the theoretical calculated values (
) and experimental measured values (
) of the CAZ thickness for the other passes ranged from 0.9–7.6%, which were in very good agreement.
Further, in order to more intuitively study the element diffusion distance and degree,
Figure 10 showed the results of the EDS line scans of S6, S10, S13, and S14 and the elemental surface scans of Fe, Cr, and Ni. A jump or a sudden drop to the equilibrium concentration of the Fe, Cr, and Ni elemental line scans on both sides of the interface was identified as the elemental boundary, and the spacing of the boundaries on both sides was used as a measure of the elemental diffusion distance [
41]. In
Figure 10a–d, the diffusion distances of Fe and Cr were far away and easy to observe, and there were large non-coincident zones (NCZs) for both [
37]. Among them, S6 had the largest diffusion distance and small fluctuation (
Figure 10a), S10 and S13 fluctuated sharply, and S14 was less fluctuating and relatively smooth, while the curve slopes of the diffusion distance middle part of Fe and Cr increased significantly. Moreover, the diffusion distance of Ni was much smaller than that of Fe and Cr and was not easily observed. On the SS side, the NCZ of Fe with Cr and Ni fluctuated and changed. On the CS side, the NCZ of Fe and Cr decreased continuously, and the NCZ of Fe and Ni was smaller at S10 (
Figure 10a–d). In
Figure 10a1–d1, there was an obvious delamination phenomenon on both sides of the interface. In addition, the S10 and S13 interfaces of Fe and Cr were not smooth (
Figure 10b2–b3,c2–c3), while the interface of finished S14 was smoother (
Figure 10d2,d3).
The Fe, Cr, and Ni element diffusion distances between each pass are the main factor affecting the interface performance.
Figure 11 showed the diffusion distances of the Fe, Cr, and Ni elements of S6–14 (the mean value of three times). In S6–14, the diffusion distances of Fe and Cr varied greatly, showing a consistent parabolic downward trend, while the diffusion distances of Ni were smaller, ranging from 11.5 to 7.3 μm. According to the phase equilibrium theory, the lower the external pressure is, the higher the vacuum is, the more easily the metal element evaporates. At an atmospheric pressure of 10
−2 pa, the Cr started to evaporate at a temperature above 1062 °C. Furthermore, the Cr diffused faster in the ferrite than in the austenite. At the same time, the Cr and Fe would form a diffusion couple, and the two diffuse farther away after 3 h of heating. However, Ni started to evaporate at the temperature higher than 1157 °C. Next, when the rolling temperature is 1180 °C, and the diffusion coefficients (D) of Ni and Cr in γ-Fe were approximately 5.7 × 10
−11 and 4.6 × 10
−11 cm
2 s
−1, respectively [
27]. Although the D of Ni was high, the diffusion distance of Ni was smaller than that of Cr, which was somewhat different from Equation (3). This was mainly due to the lower concentration of Ni on the SS side than that of Cr [
6]. In addition, the interstitial diffusion of C atom would also lead to a hysteresis diffusion of Ni, which could have a more pronounced effect on the inherently slower diffusion of Ni itself, but the delayed effect was not obvious for the rapid diffusion elements (Fe, Cr, Mn, etc.) [
37,
38]. Together, these factors made the diffusion of Ni in CS more difficult, so the Ni diffusion distance was smaller.
In the S6–8 passes, the diffusion distance of Fe and Cr decreased significantly, while Ni increased slightly (
Figure 11), which were, respectively, dominated by the extension of reduction and the thermal effect of deformation. The diffusion distances of Fe and Cr were relatively large, and the decrease in the diffusion layer thicknesses caused by the CRB extension of reduction exceeded the thermal effect of deformation on diffusion. In
Figure 2c, the temperature of the S7–8 increased, and the measured surface temperature of the S9 billet was 1073 °C. At this time, the CRB had a larger cross-sectional area, and the cooling rate was slow, so the Ni enriched at the interface was further diffused during rolling and cooling. According to Equation (3), its diffusion distances increased.
For S8–14, Fe, Cr, and Ni showed the same trend. The diffusion distance of the three elements in S8–9 decreases synchronously, due to the fact that the extension was larger and section area was smaller, so that the temperature drop was faster and could not provide enough driving force, making the diffusion distance decrease. For S9–12, the diffusion distances of Fe, Cr, and Ni did not change much. At this time, the decrease in the diffusion layer thickness of the extension and the increase in. the elements’ diffusion distance were in a basic equilibrium state. For S12–13, the diffusion distances rose. The reason was that the 14–17# rolling mill spacing was longer and caused the surface of CRB to cool down, and then, afterwards, the S13 passes the interfaces warmed up again. According to the law of diffusion, when other conditions are certain, the longer the diffusion time is, the element diffusion distance increases. After the finished pass sequence, the diffusion distance of S13–14 decreased rapidly, which was due to the fact that the finishing hole extended downward and sprayed cold water, making the element diffusion distance significantly reduced.
The diffusion concentrations of Fe, Cr, and Ni at both sides of the interface were different in 316L and HRB400E. The diffusion behavior of elements is unsteady and follows Fick’s second law, and the interfacial concentration can be expressed by the diffusion equation [
24,
42]:
where
is the concentration of element,
and
are the diffusion coefficients, respectively, and
x is the diffusion distance of element.
In this paper, the bonded bimetal composite can be seen as infinite diffusion couples. The initial and boundary conditions for the equations were as follows:
The diffusive flux at the interface was the same and thus obtained:
The solution of Equation (9) was obtained:
The relationship between the element concentrations and the diffusion distance (x), and the interface contact time (t) was shown in Equation (10), which can be calculated as the element concentrations at different locations on the boundary interface.