1 Introduction

Oxide metallurgy technology [1,2,3,4] uses fine dispersed inclusions to induce intragranular acicular ferrite (hereafter IAF) nucleation. The aim is to refine the structure and improve the performance of low-carbon steel. Ferrite microstructure, the product of intragranular nucleation on inclusions, has been reported to improve resistance to cracking and be beneficial for achieving high toughness by forming an interlocking structure that reduces effective grain size [5]. Thus, the development of minuteness ferrite is recognized as a key technology to enhance the toughness of low-carbon steel. Hitherto, there are three generations of oxidation metallurgy: Firstly, using the dispersed TiN particles pins austenite to refine the welding of heat-affected zone structure; furthermore, TiOX inclusions facilitate IAF nucleation to refine the structure of the steel; at present, the third generation mainly uses composite inclusions such as magnesium, calcium sulfide, and oxide to promote IAF formation. Titanium compounds were used in the first and second generations of oxide metallurgy, and many titanium compounds were included in the study of the third generation of composite inclusions.

At present, composite inclusions containing Ti have been studied more for inducing IAF nucleation. However, there is still unity on the mechanism of IAF nucleation induced by containing Ti inclusions. It is one of the reasons that hinder the progress of oxide metallurgy technology. Three nucleation mechanisms for inclusions inducing IAF nucleation are as follows [6,7,8,9]:

  1. (1)

    Mn-depleted zone.

  2. (2)

    The stress–strain energy.

  3. (3)

    Low lattice matching.

These three factors depend on the composition and structure of the inclusion. Accordingly, in the present study, each of these three factors responsible for the inclusion potency for IAF nucleation was evaluated simultaneously, and the contribution of each factor was considered. Table 1 shows the recent research on titanium inclusions inducing IAF. According to Table 1, there are few studies on the nucleation mechanism of IAF induced by the Ti composite inclusions. And the mechanism of containing Ti inclusions inducing IAF nucleation is not uniform.

Table 1 References of titanium inclusion inducing IAF

In this work, TiO2 was added to low-carbon steel, and IAF was induced by controlling the cooling temperatures. The mechanism of induced IAF nucleation was systematically investigated by scanning electron microscope (SEM), transmission electron microscopy (TEM), and electron probe micro-analyzer (EPMA) analysis. Three current mechanisms (Mn-depleted zone, stress–strain energy, and low lattice matching between ferrite and inclusions) were discussed. That provides a theoretical basis for refining the grain structure to advance oxide metallurgy.

2 Preparation of Materials

2.1 Materials Synthesis

Low-carbon steel was studied as the base material. The samples were heated up to 1538 °C, held for 20 min, and mixed with known properties TiO2. Figure 1 shows the experimental temperatures. Stirring with a corundum bar had a significant promoting effect of mechanical force on molten steel and TiO2. This operation could ensure that TiO2 particles were added in the heat preservation process. Then, the samples were cooled to ambient temperature. The heating and cooling process was conducted in an infrared furnace under ultra-high-purity argon (> 99.0%). The chemical compositions of sample 2 with TiO2 additions are listed in Table 2.

Fig. 1
figure 1

Experimental temperatures

Table 2 Chemical compositions of samples (wt%)

2.2 Materials Characterization

An automatic metallurgical microscope (DMI-5000M, Leica) was used to observe the structure of the sample and then, a field emission scanning electron microscope (FE-SEM; S-4800, JEOL) for microstructure observation and inclusion component detection. Line scans of typical inclusion compositions were detected by SEM–EDS. The limit of SEM–EDS detection is 0.1%, and the resolution ratio is 1–3 nm. As we all know, EMPA–EDS detection reaches 0.01%, though its resolution ratio is only 5 nm. In order to confirm the truth of the solute poverty zone, we used the mapping of EMPA–EDS to test the typical inclusion. It is more accurate using both integrated analyses. To investigate the nucleation mechanism between the typical inclusions and IAF, TEM (JEM-2800F, JEOL) sample preparation using a dual-beam focused ion beam system (DB-FIB; JEM-2800F, FEI) was used. The Ga ion beam was used for cutting at 30 kV accelerating voltage, and the cut sample was put into copper mesh and coated with Pt film of about 1 μm thickness. TEM analysis was conducted, and selected area electron diffraction (SAED) patterns acquired from high-resolution electron microscopy (HREM) images were also analyzed.

2.3 Materials Properties

There are three kinds of TiO2 crystal structures: anatase, rutile, and brookite. When the temperature exceeds 800 °C, anatase and brookite transform into rutile. Therefore, TiO2 inclusions can be directly considered as rutile for research in the steel smelting process. The melting point of rutile TiO2 is 1850 °C, which is higher than the melting point of molten steel. The Ti–O bond is short and unstable, which is easy to reunite when the temperature rises. Thus, it can reduce the specific surface area and increase the adsorption. It is easy to combine with TiO2 in adsorption for molten steel at 1600 °C. Nano-scale TiO2 has a small particle size and high surface energy. It is easy to agglomerate to form secondary particles while adding molten steel. The early study [35] showed that when the content of TiO2 was less than 1%, the phenomenon of agglomeration was unlikely to occur. To eliminate the influence of other forces and factors, TiO2 was fully added to the molten steel, the content was selected as 1%, and the size was 10 μm.

3 Results and Discussion

3.1 Characteristics of Microstructure Morphology and Inclusions

Figure 2 shows the results of morphology, size, and the number of inclusions in samples 1 and 2. It can be seen that the addition of TiO2 significantly increases the size of inclusions in steel in the range of 1–3 μm. Inclusions are predominantly spherical. And the number of spherical inclusions increases. It is initially hypothesized that there is a polymerization growth of inclusions after the addition of TiO2. The microstructure morphology of samples 1 and 2 with TiO2 is shown in Fig. 3. It can be seen that sample 1 is mainly composed of intragranular polygonal ferrite (IPF) containing fine inclusions and some pearlite. The grain size of IPF is about 100 μm. There are two types of IGF: IAF and IPF in sample 2. Most of IAF are nucleated and precipitated by inclusions. A noticeable phenomenon shows that new secondary nucleating ferrites are nucleated by primary ferrites. Secondary ferrite-related studies have been published in the literature [36]. IAF grows freely in large-angle and multi-dimensional competition to form an interwoven or cross-hatched structure. The experimental results infer that the whole microstructure consists of secondary nucleating ferrite and inclusions inducing IAF to refine grains.

Fig. 2
figure 2

Results of morphology, size, and the number of inclusions in samples 1 and 2: a the morphology of sample 1; b the morphology of sample 2; c the shape of inclusions; d the size of inclusions

Fig. 3
figure 3

Microstructure morphology of steel: a sample 1. b sample 2 with TiO2

The inclusion of the nuclei of IPF in sample 1 is displayed in Fig. 4. It can be observed from the microscopic morphology that the inclusion has a gap with ferrite. In Sample 2 (Fig. 5), the morphology of inclusion, regular circle, as IAF nucleation core differs from sample 1. The center is off-white, and the outer is covered with black materials. The connection between it and IAF is relatively close. Judging from the EDS results, it is evident that two kinds of inclusion are composed of the same elements: O, Mn, Si, S, Al, and Ti. Compared with them, the proportions of other elements are similar, except that Ti elements in sample 2 significantly increase from 1.38% to 10.32%. TiO2 was successfully added to molten steel. They react with the original inclusions and then aggregate into the secondary particles to induce IAF.

Fig. 4
figure 4

SEM analysis results for sample 1

Fig. 5
figure 5

SEM analysis results for sample 2

3.2 Mn-depleted Zone

In low-carbon steel, it has been generally agreed that an increase in the chemical driving force due to the local depletion of some elements near an inclusion promotes the development of acicular ferrites, such as Mn, C, and Al. We investigated the solute deficiency to understand how the compound inclusions with TiO2 induce IAF.

The linear scanning function in SEM–EDS detected the relationship between inclusion distance and density (one data every 0.1 μm and the scanning time was more than 60 s). This method considers the influence of electron beam size and counting rate. It qualitatively reacts to the composition changes of inclusion. Figure 6 is a lining image for inclusion inducing IAF made up of O–Mn–Si–S–Al–Ti. It can be seen that Mn contents near 1.25 μm to 6.26 μm increase sharply, reaching the range of 20% and 24%. It is worth noticing sharp changes up and down in the distance of 1.25 μm and 2.8 μm. Therefore, such inclusions exist in the solute poverty zone, which can be judged to be caused by Mn elements. Besides, the same elements can appear in multiple positions in one inclusion.

Fig. 6
figure 6

SEM–EDS elemental lining image for inclusion inducing IAF

In order to confirm the truth of the solute poverty zone, we used the mapping of EMPA-EDS to test the typical inclusion. It is more accurate using both integrated analyses. The inclusion was analyzed as large as 6 μm in EMPA (Fig. 7). The composition diagram of inclusions is Fig. 7i. The central element is a combination of Al–Si–Mn–O, which could be judged as a typical Al2O3–MnO–SiO2 composite inclusion surrounded by MnS, TiN, and minute quantity titanium oxide. Si elements in the core location can be up to 80%. Al elements have a partial concentration of element solute in the whole inclusion edge, even though some areas are as high as 68%. Mn contents are full of the entire inclusion, and the region with the highest inclusion, up to 50%, is the MnS inclusion wrapped in the periphery. Comparatively, Mn elements are less in steel than inclusions. Furthermore, it can be seen that the contents of Ti in this large-size inclusion are significantly increased, up to 24% at the highest, mainly composed of TiN and titanium oxides. That means TiN and titanium oxides wrap in the outermost layer of the entire inclusion. IAF was found to nucleate on MnS + TiN inclusions, as previously reported by Hou et al. [23].

Fig. 7
figure 7

EPMA analysis of one typical inclusion effective for IAF nucleation. ag chemical maps of different elements. h morphology of Inclusion. i schematic diagram of inclusion composition

SEM–EDS lining and EPMA-EDS mapping analysis display Mn segregation to conform to the solute depletion mechanism. The process of non-metallic inclusions and new phase formation during the solidification of molten steel is realized by relative movement between atoms. They need to rely on energy fluctuation to overcome the activation energy to produce relative movement between atoms. This process is also called diffusion. The smaller the activation energy of atoms reaching a new position, the more they can diffuse. From Figs. 6 and 7, it can be concluded that Mn solute-poor zone joint compound inclusions and IAF. Equation (1) [37] can be used to analyze the process of IAF formation induced by the Mn solute poverty zone:

$$D_{{\text{A}}}^{{{\text{gb}}}} = D_{{\text{A}}}^{0} {\text{exp}}\left( { - \frac{{Q_{{\text{A}}}^{{{\text{gb}}}} }}{{{\text{RT}}}}} \right)$$
(1)

\({D}_{{\text{A}}}^{{\text{gb}}}\): interfacial diffusion coefficient of matter (cm2/s); \({D}_{{\text{A}}}^{0}\): aggregate diffusion coefficient of A substances (cm2/s); \({Q}_{{\text{A}}}^{{\text{gb}}}\): A interfacial diffusion activation energy (KJ/mol); R: the gas constant is 8.314 × 10−3kJ mol−1 K−1; T: temperature (K).

Figure 8 is obtained by calculating the data in Table 3 and Eq. (1). It can be concluded that the diffusion activation energy of Mn atoms is less than that of Fe. The diffusion coefficient is small, so the diffusion rate is large. Figure 9 is a schematic diagram of Mn elements solute depletion in the formation process. On the grain boundary Fe matrix and inclusion, the Mn elements in the γ-Fe matrix are more likely to diffuse and aggregate to the inclusions, resulting in interfacial migration. As the diffusion of Mn atoms proceeds, γ-Fe transforms into α-Fe. The inclusion and the steel interface intersection are placed to form the Mn-depleted zone, and the inclusion is MnS. Meanwhile, the IAF forms.

Fig. 8
figure 8

\({D}_{A}^{{\text{gb}}}\) of Mn, Al, α-Fe, γ-Fe

Table 3 Value of Mn, α-Fe, γ-Fe [38, 39]
Fig. 9
figure 9

Formation process of Mn-depleted zone

3.3 Low Lattice Misfit

Figure 10 shows the TEM detection results of IAF induced by Ti inclusions contained. The main elements are O, Al, Si, S, Ti, Mn, and C in the sample 2. The inclusion compositions are 3MnO Al2O3 SiO2, MnS, TiN, and Ti3O5 from the following analyses Figs. 11, 12, and 13. In order to make clear the relationship between the composition and microstructure of the inclusion, we enlarged the sample to explore it in depth.

Fig. 10
figure 10

TEM analysis of whole inclusion inducing AF

Fig. 11
figure 11

TEM analysis of spherical area. a morphology of Inclusion. bh Mapping results. i SAED of spherical area

Fig. 12
figure 12

TEM analysis of triangular area. a Morphology of Inclusion. bh Mapping results. i SAED of triangular area

Fig. 13
figure 13

TEM analysis of central area. a Morphology of Inclusion. bh Mapping results. i SAED of central area

The spherical inclusion was analyzed by SAED and EDS, as shown in Fig. 11. Mn element has the strongest affinity with S. Notably, there is a good combination between S and Mn. They combine to be spherical inclusion MnS, which is 0.22 μm. The crystal surface is [\(\overline{1 }11\)]. According to the mapping results, it can be seen that TiN between the composite inclusion and IAF, which conforms to the partial clustering property of Ti. Furthermore, the triangular area (Fig. 12) is MnS + Ti3O5 as large as 0.98 μm. MnS diffraction planes are (023), (102), and (\(\overline{1 }21\)), and Ti3O5 diffraction planes are (250), (221), and (\(0\overline{3 }1\)). Their orientation relationship is MnS [\(43\overline{2 }\)]//Ti3O5 [\(52\overline{6 }\)]. An earlier study [24] focused on the compound inclusion of MnS + Ti3O5 can induce IAF nucleation. The middle part of the composite inclusions is Mn3Al2Si3O12 (Fig. 13) and the diffraction planes are (\(23\overline{1 }\)), (420), and (\(2\overline{1 }1\)). Mn3Al2Si3O12 can be considered as 3MnO Al2O3 3SiO2. Calculation of MnO–SiO2–Al2O3 ternary phase diagram by FactSage6.5 thermodynamic software, the figure is shown in Fig. 14. It can be seen that the inclusion is formed in the low melting point area (gray area) below 1400 °C, with SiO2 ranging from 0.35 to 0.5%, MnO ranging from 0.2 to 0.5% and Al2O3 ranging from 0.15 to 0.3%.

Fig. 14
figure 14

MnO-Al2O3-SiO2 ternary phase diagram

Further, the low lattice misfit mechanism is analyzed. In Fig. 15, there is a gap between 3MnO Al2O3 3SiO2 and IAF. IAF exhibits different interplanar spacings (Fig. 15b) such as d(110)IAF = 2.03 nm, d(200)IAF = 1.43 nm, and d(721)3MnO Al2O3 3SiO2 = 1.57 nm or 1.56 nm. Notably, they show good lattice coherency where the inclusion is in close contact with the IAF. Their lattice spacing is similar(d(200)IAF = 1.43 nm and d(642)3MnO Al2O3 3SiO2 = 1.57 nm or 1.56 nm). However, there is a difference in the area of the gap. The orientation relationship is as follows: IAF (200)//3MnO Al2O3 3SiO2(642). The results prove that good lattice position between 3MnO Al2O3 3SiO2 and IAF is suitable for the low lattice misfit mechanism. The HREM analysis (Fig. 16) of the spherical MnS + TiN position found that TiN induces the IAF position tightly combining, IAF (221)//TiN (311). As expected that d(201)IAF = 1.17 nm is similar to d(311) TiN = 1.28 nm.

Fig. 15
figure 15

a Morphology of inclusion inducing AF. b HREM of the gap between 3MnO Al2O3 3SiO2 and IAF. c HREM of 3MnO Al2O3 3SiO2 and IAF

Fig. 16
figure 16

a Morphology of inclusions induced IAF. b HREM of inclusions and IAF

Based on hexagonal and cubic inclusions, Bramfitt [40] proposed a two-dimensional mismatch degree to characterize and calculate the matching relationship between inclusions and ferrite in steel. The mismatch strain δ can be expressed by the following equation:

$$\delta_{{({\text{hkl}})_{n} }}^{{({\text{hkl}})_{s} }} = \sum\limits_{i = 1}^{3} {\frac{{\frac{{\left| {\left( {d\left[ {{\text{uvw}}} \right]_{s}^{i} \cos \theta } \right) - d\left[ {{\text{uvw}}} \right]_{n}^{i} } \right|}}{{d\left[ {{\text{uvw}}} \right]_{n}^{i} }}}}{3} \times 100\% }$$
(2)

(hkl)s: low index crystal plane of basal phase; (hkl)n: low index crystal plane of nucleation phase; [uνw]s: crystal plane (hkl)s with low index; [uνw]n: crystal plane; (hkl)n with low index; d[uνw]s: the atomic spacing along the direction of [uνw]s; d[uνw]n: the atomic spacing along the direction of [uνw]n; δ: the angle between [uνw]s and [uνw]n.

According to Eq. (2), the smaller the delta value, the more favorable to heterogeneous nucleation. Nucleation is most effective when the mismatch strain, δ < 6%, is considered moderately effective when δ 6–12% and is not effective when δ ≥ 12%. Table 4 shows that the mismatch strain of the ferrite induced by the known inclusions was calculated. Consequently, δ was less than 6% between the inclusions, TiN, MnS, 3MnO Al2O3 3SiO2, and Ti3O5 as base and IAF nucleation phases, which is effectively nucleation mechanism.

Table 4 Calculation results of low mismatch (%)

3.4 Stress–Strain Energy

Zhang [41], (Table 5) proposed that during the phase transition, the difference in thermal expansion efficiency between inclusion and austenite can lower the ferrite nucleation barrier, thus increasing ferrite formability. The stress–strain energy equation is as follows:

$$\left( {\tau_{\gamma } = \frac{{E_{\gamma } *E_{c} }}{{E_{\gamma } + E_{c} }}\left( {\alpha_{\gamma } - \alpha_{c} } \right)\Delta T} \right)$$
(3)
$$\varepsilon_{\gamma } = \frac{{\tau_{\gamma } }}{{2E_{\gamma } }}$$
(4)
Table 5 Inclusion stress–strain energy

Eγ: the young’s modulus of austenite; Ec: the young’s modulus of inclusion; αγ: austenite thermal expansion coefficient; αc: inclusion thermal expansion coefficient; ΔT(AC3): the starting temperature of the temperature gradient form ferrite to austenite.

$$\begin{aligned} A_{{{\text{C3}}}} = & 955 - 350\left( {{\text{wt}}.\% \,{\text{C}}} \right) - 25\left( {{\text{wt}}.\% \,{\text{Mn}}} \right) + 51\left( {{\text{wt}}.\% \,{\text{Si}}} \right) \\ & + 100\left( {{\text{wt}}.\% \,{\text{Ti}}} \right) + 68\left( {{\text{wt}}.\% \,{\text{Al}}} \right) \\ \end{aligned}$$
(5)

According to Eq. (5) and Table 1, we calculate ΔT = 925.56 °C. Then, we acquire the form 4 ascribing to Eqs. (3) and (4).

The stress–strain energies of MnS and austenite, TiN and austenite, Ti3O5 and austenite are 0.303 × 104 J/m3, 4.14 × 104 J/m3, and 15.57 × 104 J/m3, respectively. However, their order magnitude of stress–strain energy is just 104–105 J/m3, 1/1000 times the driving force for IAF nucleation (107–108 J/m3). That means it is not enough to provide nuclear energy. Nonetheless, only the data of MnS, TiN, and Ti3O5 inclusions are listed in this experiment. Computing results are shown without 3MnO Al2O3 3SiO2 inclusion. The reason is that the crystal structure of 3MnO Al2O3 3SiO2 is FCC, which is dislocation-free. Owing to its crystallographic characteristics, it cannot stress IAF.

4 Conclusion

This paper studied the influence of TiO2 on IAF nucleation in low-carbon steel. According to the analysis of the inclusion characteristics (morphology and composition) and how to induce IAF characteristics, the inclusions induce IAF nucleation mechanisms (solute depletion of elements, low lattice misfit, and stress–strain energy). The conclusions are summarized as follows.

  1. (1)

    TiO2 was added to low-carbon steel, forming the composite O–Mn–Si–S–Al–Ti inclusions. Then, O–Mn–Si–S–Al–Ti inclusions induced IAF. The typical inclusions were TiN, MnS, 3MnO Al2O3 3SiO2, and Ti3O5.

  2. (2)

    The composite O–Mn–Si–S–Al–Ti inclusion contains Mn elements in the solute poverty zone, and the inclusion is MnS. The induced IAF nucleation can be explained by the solute depletion of elements. The mismatch strain was less than 6% between TiN–MnS–3MnO Al2O3 3SiO2–Ti3O5 and IAF. A low lattice misfit can also clarify that TiN–MnS–3MnO Al2O3 3SiO2–Ti3O5 induces the IAF nucleation.

  3. (3)

    For the stress–strain energy mechanism, 3MnO Al2O3 3SiO2, MnS, TiN, and Ti3O5 were insufficient to provide nuclear energy. Mn-depleted zone and low lattice misfit significantly affected TiN–MnS–3MnO Al2O3 3SiO2–Ti3O5 inclusion-induced IAF nucleation.