Design of the Spheroidization Heat Treatment
In order to establish an appropriate spheroidization heat treatment and to take the effect of Cr into account, the phase diagrams were calculated using ThermoCalc software. Figure 1(a) presents the quasi-binary Fe-C phase diagrams, and Figure 1(b) shows the temperature dependence of the cementite fraction for the investigated steels (Table I). Three-phase regions (ferrite, austenite, and cementite), which split A
1 into two lines, are observed in the phase diagrams for all steels. Lower and upper A
1 temperatures are presented as A
1 and A′1, respectively, in Figure 1. Characteristic temperatures from the phase diagram are listed in Table II, and it can be seen that the addition of alloying elements changes the phase equilibria for these steels. The increase in Cr content, for instance, raises the A
1 and A′1 temperatures, slightly widens the three-phase region, and shifts the eutectoid composition to lower carbon concentration (Figure 1, Table II).
Table II Characteristic Temperatures and Eutectoid Compositions
As suggested in Reference 5, the DET reaction usually occurs at slow cooling and after austenitization at lower temperatures compared with the pearlitic reaction. This research focuses on the influence of the austenitization temperature and time on the spheroidization process, therefore the cooling rate has been kept constant. The entire proposed spheroidization heat treatment is shown in Figure 2. At first, the heat treatment proposed for commercial SAE 52100 steel[1,5] has been used, i.e., the austenitization time t
1 is taken to be 3 hours and the austenitization temperature T
1 = A′1 + 75 K, with a cooling rate of 15 K/h from the austenitization temperature to 10 K above A′1, followed by cooling at 5 K/h to 955 K. As shown later, different T
1 and t
1 are used to promote the DET reaction and to improve the spheroidization heat treatment for the 0.5Cr steel.
Microstructural Observations and Hardness Measurement
The initial microstructures of hypereutectoid Cr-containing steels after casting and HIP consist of pearlite and proeutectoid cementite at the prior austenite grain boundaries (Figures 3(a), (c), (e), and (g)). The hardness of these microstructures is in the range of 280 to 370 HV, as shown in Figure 4. The hardness increases with increasing Cr content as a result of the smaller grain size (Figure 3). The volume fraction of proeutectoid cementite according to the phase diagram changes from 0.06 in 0.5Cr steel to 0.10 in 3.5Cr steel, whereas the total equilibrium volume fraction of cementite at room temperature in all steels is around 0.15 (Figure 1). Such a pearlitic microstructure has a poor machinability, which is considered to be a disadvantage for industrial applications. In order to overcome these problems, the spheroidization annealing as described in the previous section is performed. The austenitization temperatures are 1085, 1095, 1100, and 1110 K for the 0.5Cr, 1.5Cr, 2.5Cr, and 3.5Cr steels, respectively, i.e., T
1 = A′1 + 75 K. During the spheroidization annealing the dilatation signal has been recorded, and during cooling the austenite-ferrite transformation starting temperatures T
start are determined from the dilatometry experiments. The undercoolings
\( \Delta T = A^{'}_{1} - T_{{start}} \) are found to be different for different heat treatments and Cr contents, and will be discussed subsequently.
The microstructure after the spheroidization heat treatment is presented in Figures 3(b), (d), (f), and (h). The 1.5Cr, 2.5Cr, and 3.5Cr steels (Figures 3(d), (f), and (h)) demonstrate a well-spheroidized structure, while the 0.5Cr steel does not show a complete spheroidization of cementite (Figure 3(b)), and the aspect ratio of the cementite particles varies from 1.2 to 10. The microstructure of this steel consists of islands of newly formed pearlite and large spherical cementite particles. To improve the spheroidization, the heat treatment is redesigned based on the idea that the austenite at the T
1 temperature should contain a sufficiently high density of undissolved cementite particles. In the case of the 0.5Cr steel, the reason for the formation of pearlite instead of a spheroidized structure is either a too high austenitization temperature (1085 K) or an excessively long austenitization time (3 hours). This results in a greatly pronounced dissolution of cementite. At high austenitization temperature cementite can also start to coarsen by Ostwald ripening.[14] The large spacing between cementite particles subsequently promotes the formation of new colonies of pearlite during cooling.
To verify this idea, three more experiments were performed. The austenitization time was reduced from 3 hours to 10 min at 1085 K, which did not produce any significant change in the final microstructure of the 0.5Cr steel. Then the temperature dependence of the cementite fraction was considered (Figure 1(b)) in order to choose a lower temperature for austenitization of the 0.5Cr steel. For successfully spheroidized alloys (1.5Cr, 2.5Cr, and 3.5Cr) the volume fraction of cementite has been found to be between 0.04 and 0.06 at the austenitization temperature, whereas in the 0.5Cr steel it is only 0.025 at 1085 K. In the 0.5Cr steel a cementite volume fraction of 0.04 is expected after austenitization at 1045 K (Figure 1(b), triangle).
The obtained microstructure shows a completely spheroidized microstructure (Figure 5(a)) with a network of grain boundary cementite (Figure 5(b)). However, the cementite network is not continuous and particles are isolated from each other. It should be noted that the austenitization at 1045 K is performed for 2 hours, and this time is apparently not long enough to sufficiently reduce the cementite network. Austenitization at 1045 K is then prolonged to 5.5 hours which, according to the calculated diffusional distances, should be long enough to completely break up the grain-boundary cementite network. However, during cooling after austenitization at 1045 K for 5.5 hours the formation of lamellar cementite is observed (Figure 5(c)), which was likely due to particle coarsening during austenitization. The spheroidized microstructure obtained after austenitization at 1045 K for 2 hours (Figures 5(a) and (b)) is considered to be optimal for 0.5Cr steel.
The measured hardness for all steels is presented in Figure 4. It should be noted that after spheroidization the hardness is found to be around 190 HV for all steels, independent of Cr content. The variation in the different measurements (the error bars) appears to be very small compared with that for pearlitic microstructures (Figure 4), which is an indication of a uniform spheroidized microstructure with the same particle size distribution. It is known[1,9] that the hardness of the material is directly related to the degree of spheroidization, size, and spatial distribution of spheroidized particles. It seems that the particle size and the size distribution play a dominant role in hardness rather than the composition.
Quantitative Analysis of Spheroidized Microstructures
All spheroidized microstructures are quantitatively analyzed using image analysis software. To set a reliable threshold value (Figure 3(i)) for analysis, a tint-etching technique has been used, which makes cementite appear in white and ferrite in black/brown. Typically more than 15,000 particles per alloy were analyzed, giving a sufficient statistical sampling area. The size distributions of cementite particles for the 0.5Cr, 1.5Cr, 2.5Cr, and 3.5Cr steels are shown in Figure 6. A bimodal distribution of particles is observed. The particle size distribution is normally described using a lognormal distribution function.[15] Due to the presence of two clear peaks in the probability function distribution P(d), the size distribution of the cementite particles is fitted using the summation of two lognormal distribution functions:
$$ \begin{aligned}{} P{\left( d \right)} = P{\left( d \right)}_{S} + P{\left( d \right)}_{L} = \\ = \frac{{f_{S} }} {{S_{S} d{\sqrt {2\pi } }}}\exp {\left( {\frac{{ - {\left( {\ln {\left( d \right)} - M_{S} } \right)}^{2} }} {{2S^{{\text{2}}}_{S} }}} \right)} + \frac{{f_{L} }} {{S_{L} d{\sqrt {2\pi } }}}\exp {\left( {\frac{{ - {\left( {\ln {\left( d \right)} - M_{L} } \right)}^{2} }} {{2S^{{\text{2}}}_{L} }}} \right)} \\ \end{aligned} $$
(1)
where f
i
is the volume fraction of cementite particles, subscript i relates to the small or large particles, and f
S
+ f
L
= 1, d is the particle diameter, the mean d
i
and the standard deviation σ
i
of the distributions are given through M
i
and S
i
, as \( d_{i} = \exp {\left( {M_{i} + \raise0.7ex\hbox{$1$} \!\mathord{\left/ {\vphantom {1 2}}\right.\kern-\nulldelimiterspace} \!\lower0.7ex\hbox{$2$}S^{2}_{i} } \right)} \) and \( \sigma _{i} = {\sqrt {\exp {\left( {2M_{i} + 2S^{2}_{i} } \right)} - \exp {\left( {2M_{i} + S^{2}_{i} } \right)}} } \). From fitting of the experimental results with Eq. [1], where M
i
, S
i
, and f
i
are fitting parameters, the volume fractions, mean particle sizes, and standard deviations of the small and large particles are obtained.
A summary of the results for the spheroidization heat treatment is presented in Table III. The degree of spheroidization, expressed as the average aspect ratio, shows that the cementite in all steels is sufficiently spheroidized. The spheroidization of high-carbon steels with different Cr contents results in a bimodal distribution of cementite particles, where almost 30 vol pct of the particles have a mean size of 0.13 μm and the rest have a mean size of 0.41 to 0.47 μm. It should be noted that the bimodal distribution arises from the particles formed at the austenite grain boundary and the particles formed within austenite grains. Verhoeven[5] made a similar observation of bimodality in the particle size distribution in hypereutectoid steels. In this research, almost the same size and size distributions of cementite particles are observed after spheroidization of steels with different Cr contents, and the hardness for all steels is approaching the optimal value for good machinability. This illustrates that by proper control of the heat treatment parameters, similar microstructures can be obtained independent of the Cr content (with an exception for the 0.5Cr steel, where the boundary cementite is spheroidized but not completely eliminated).
Table III Cementite Particle Size, Volume Fractions of Cementite Particles, and Aspect Ratio