Abstract
Determining the content of solute elements in cold rolled ferritic steels constitutes an important aspect in metallurgy, since the interstitial elements have a harmful effect on the anisotropy properties (i.e. texture) of the final product, usually steel sheets for automotive applications. Both the carbon and nitrogen contents in solid solution depend on the chemical composition and thermomechanical parameters, such as the coiling temperature (CT) and the cold reduction degree. In the present paper, thermoelectric power measurements technique has been applied to study the relationship between the process variables such as CT and cold rolling reduction, and the amount of interstitial elements in solid solution. It was shown that at high CTs the value of the thermoelectric power only depends on the carbon content in solid solution, meanwhile at low CTs, a second contribution should be considered due to the presence of nitrogen in solid solution.
Introduction
New generation ferritic steels for the automobile industry are designed to optimise deep drawing properties, reducing the sheet thickness at the same time. Therefore, these steels are subjected to a large and complex processing route, which includes hot rolling, coiling, cold rolling (CR) and continuous annealing at relatively low temperatures (∼600°C). During this final stage, a regeneration of the microstructure (recrystallisation) takes place, accompanied by a texture evolution, leading to a partial recovery of the ductility lost during CR. Through a careful selection of the processing parameters in each stage, the sheet anisotropy can be optimised in order to obtain a final texture that is ideal for deep drawing applications. In particular, the coiling temperature (CT) and CR stages are of key importance to the microstructure and texture evolution in later stages.
Several studies1–3 indicate that the interstitial elements C and N seriously affect the anisotropy properties of the material, since both elements exert a detrimental effect on the texture development of a deep drawing steel when they are in solid solution.4 So far as known, the dissolved Al and N play no special role during CR, but strongly influence recovery and recrystallisation on subsequent annealing. During slow heating process the agglomeration of N and Al occurs, which retards structural changes in the steel and modify the resulting texture.5 There has been some discussion in the literature as to whether true precipitates of AlN are formed or whether only ‘preprecipitation clusters’ occur at dislocations and subboundaries. 6 6,7 As experimental techniques have developed in recent years, the balance of opinion appears to have swung some way towards a true precipitation process.8 Whatever the precise mechanism, there is agreement that recrystallisation, and, in particular, nucleation, is greatly retarded. 9 9,10
Previous works reported by Abe and co-workers illustrate how powerful the thermoelectric power (TEP) measurement technique can be used to measure the content of interstitials in steels. 11 11,12 In the present work, the relationship between the processing route and the content of interstitial elements is studied by means of TEP. The high sensitivity to any compositional modification and to the deformation state13 converts the TEP measurements into a very useful technique for determining the interstitial content before the recrystallisation stage, and thus allows us a detailed study of the influence of crucial parameters of the processing route, such as CT and CR degree.
Materials and methods
The composition of the steels studied in the present paper is listed in Table 1. The steels were hot rolled in the austenitic range (soaking temperature of 1250°C) with a finish rolling temperature of 890°C, followed by air cooling to the CT. Finally, rolling at room temperature was applied with the CR degree specified in this table.
Chemical composition and processing variables of studied steels,* wt-%
*CT stands for coiling temperature in °C; and CR stands for cold rolling reduction in %.
For the metallographic analysis, as cold rolled samples were mounted and polished using standard methods. Subsequently, they were etched with picral, which is known to reveal the presence of carbides in the microstructure.14
The set-up of the TEP equipment is given elsewhere.15–17 The experimental procedure of this technique is as follows: the sample is held between two blocks of a reference metal (a low carbon steel in the present case), between which a temperature difference ΔT = 10°C is applied. Owing to the Seebeck effect, this thermal gradient gives rise to a voltage difference ΔV between sample ends. The apparatus does not give the absolute TEP value of the sample (S*), but a relative TEP (S) in comparison toe the TEP of pure iron at 20°C (S0*). S is given by the following relation
Since analysis of very small sized particles was required (AlN particles), it was decided to produce carbon extraction replicas. Extraction replicas allow examining relatively large areas of a sample in the transmission electron microscope compared to thin foils. Carbon replicas were prepared according to Fukami ‘two step replica method’.18 Samples were polished in the usual way and then etched with 2% nital reagent. A small amount of methyl acetate was dropped and spread on the surface of the specimen. Before the volatilisation of the solvent, a cellulose acetate film was laid over the specimen. After a few minutes the film was peeled off from the specimen. Subsequently, to avoid the curling of the material, it was kept for ∼30 min in an air oven heated to 80°C. Then, the film was put into a high vacuum chamber to perform carbon deposition. Finally, the cellulose acetate layer was dissolved in a sequence of acetone baths. A copper mesh was used to support carbon replicas which were examined in a JEOL JEM-200 CX transmission electron microscope operating at 200 keV.
Results and discussion
Picral etching of the samples A, C and F reveals that the cementite exhibits a coarse morphology at high CT temperatures (Fig. 1a and b). Moreover, the higher carbon content of the steel, the higher amount of precipitates (Fig. 1b). On the other hand, when the CT temperature is decreased, different precipitation behaviour is observed resulting in much finer particles (Fig. 1c). From this metallographic analysis, it can be deduced that the precipitation state of the steels is morphologically similar for the same CT.

Microstructure in as cold rolled condition of a steel A, b steel C and c steel F: cementite particles can be clearly distinguished
This can be explained in view of the Fe–C phase diagram (Fig. 2), where it can be seen that the solubility temperature of carbon is lower than the CT in steels A, B, C, D and E. This means that the carbon can migrate towards the grain boundaries and form cementite afterwards.19 On the other hand, in steel F the CT is lower than the solubility temperature, which means that the carbon cannot be rejected completely during the formation of ferrite and, therefore, the amount of carbon in solid solution ([C]SS) should be higher in this case.

Phase diagram of low carbon steels, indicating CTs of steels studied
In order to study if the microstructure still contains carbon in solid solution after the cementite precipitation process that takes place during the coiling stage, an isothermal treatment has been performed at 270°C during 3 h. As already reported in literature,13 at this low temperature only a single process can take place: diffusion of interstitial elements (C and N) towards dislocations. This process leads to an increase in the TEP value, since the solute atoms that are ‘pinned’ by the dislocations (constituting the so called Cottrell atmospheres) can no longer be detected by this technique.20
Table 2 shows changes in the TEP of the reference specimen ΔS due to a holding stage at 270°C for 3 h, as well as the average content of carbon in solid solution ([C]SS). The value of [C]SS were determined based on internal friction measurements. The measurements were performed at Voestalpine Stahl GmbH with the assistance of Dr Pichler, as part of a European Research Project funded by the European Commission of Coal and Steel.21 With regard to the quantitative evaluation of the carbon content in solution by internal friction, it is based on the linear relation between the height of the carbon Snoek peak and the carbon content in solution. In this work, the internal friction measurements were performed on an inverted torsion pendulum with an oscillation frequency of ∼0·5 Hz employing a heating rate of 50°C h−1. They led us to the determination of the logarithmic decrement (δ = πQ−1). Therefore, for a steel with a carbon content in solution equal to [C]SS, δ passes through a maximum (δmax) for a temperature of 40°C and it can be obtained that
, where K is a factor which depends on the grain size and on the texture of the alloy. This factor was determined experimentally from the internal friction spectra measured on the studied steels to have varying carbon contents in solution.
Thermoelectric power variations ΔS after holding stage at 270°C during 3 h and average carbon content in solid solution ([C]SS)
The results listed in Table 2 are consistent with microstructural description of Fig. 1. The content of solute carbon is higher in the steels with low CT temperature (steel F) and with higher nominal carbon content (steels B and C). Moreover, from Table 2 it can also be concluded that the increase in CR reduction results in higher values of [C]SS (comparison among steels A, D and E), probably due to the partial dissolution of cementite during CR.
An increase in TEP value during isothermal holding at 270°C is exclusively caused by the diffusion of interstitial elements. The numerical value of this increase can be described by an equation of the following type
For the application of this formula, it is required to consider the role of AlN precipitation. In this sense, a first requirement is that the Al and N must be in solid solution before CR. In practice, this means that the soaking temperature before hot rolling has to be sufficiently high to decompose any aluminium nitride present. The solubility product for aluminium nitride reaction in terms of weight percent of the components (indicated by square brackets) is given by19

a plot of solubility product for AlN in austenite at various temperatures and b time–temperature transformation diagram for AlN precipitation in steel (after Leslie et al.9)
Therefore, samples from steels A, B, C, D and E where coiling was undergone at 740°C present the lowest TEP values. This is consistent with the assumption that most of AlN precipitation events have occurred during the coiling. By contrast, steel F where coiling was undergone at 550°C present a higher TEP values which indicate that most of Al and N are still in solid solution in this material. Therefore, in the first case it can be assumed that [N]SS = 0 and that the only contribution to the TEP value is due to the diffusion of carbon.
The presence of AlN precipitates was revealed by means of TEM examination of carbon extraction replicas in all the samples listed in Table 1. Meanwhile no identification of AlN precipitates was possible in steel F it was a successful search in samples coiled at 740°C (Fig. 4). From this figure, it seems that the identified precipitates are located along the prior subgrain boundaries. This result is consistent with other works reported in the literature. 22 22,23

a alignment of AlN precipitates and b X-ray energy dispersive spectroscopy spectrum
Effect of carbon content
Figure 5 shows the evolution of TEP variations with values of [C]SS listed in Table 2 for steels A, B and C. Since the CR values of these three steels are the same, it is a sensible assumption to consider that the density of dislocation is similar. Moreover, as the CT for those steels is 740°C, it is likely that most of N is tied up with Al, and hence the TEP variation is solely due to carbon in solid solution. When equation (2) is applied to those steels, it is obtained that KC = 2·34. This value can then be inserted in the same formula for the subsequent studies.

Comparison between experimental [C]SS values (Table 2) and calculated values of ΔS (equation (2)) in steels A, B and C
Effect of cold reduction
The determination of KC value above allows us to analyse the effect of CR reduction in the studied steels. Figure 6a shows a comparison between the [C]SS calculated and the ones measured (Table 2) for steels A, D and E. As can be observed, there is an excellent correlation between the measured and calculated values, which shows that this new method allows remarkable time saving in the determination of the solute carbon content for steels with the same CT.

a comparison between measured (Table 2) and calculated (equation (2)) [C]SS values in steels A, B and C, and b prediction of [C]SS evolution with CR reduction
Figure 6b shows the predicted evolution of [C]SS as CR reduction increases. As it was mentioned above, the cementite particles break during the CR process, and hence the higher the CR reduction, the higher the carbon content in solid solution.
Effect of CT
As has been explained before, this reasoning is only valid for steels with high CT, where no nitrogen is present in solid solution. However, for the case of steel F, the contribution to the TEP value is the sum of the increase due to both C and N diffusion. As can be observed in Fig. 7, the additional increase detected, which is caused by the N diffusion in this steel, makes it possible to calculate the experimental value of KN, assuming that for such a low CT (CT = 550°C) the AlN precipitation is negligible.19 If all N is in solid solution ([N]ss = 28 ppm), and this is introduced into equation (2), it is obtained that KN = 1·86. This result coincides with a previous study, 23 23,24 in which it is found that the contribution of nitrogen in solid solution is lower than that of C.

Increase in TEP value to higher solute carbon content in steel F, where additional increase is detected due to nitrogen in solid solution
Finally, the results of the present work can be applied to the study of crystallographic texture. The content of interstitial elements considerably affects the formation of the γ-fibre texture (ferritic grains with 〈111〉 direction parallel to the normal direction of the rolling plane), which is the ideal texture for deep drawing applications. From the results of X-ray diffraction analysis, published elsewhere,25 the fractions of grains belonging to this group of crystallographic orientations (fibre), V{111}, can be calculated. When this fraction is compared with the total content of interstitial elements (Fig. 8) in steels A, C and F, it can be clearly observed that the increase in atoms in solid solution considerably decreases the volume fraction of this fibre.

Evolution of fraction of γ-fibre grains in function of total content of interstitial elements in steels A, C and F
From this study it can be concluded that both an increase in the nominal concentration of carbon, the reduction of the CT and the increase in the CR degree exert a negative influence on texture and, therefore, on the deep drawing properties of the steel.
Conclusion
The precipitation state of six steels with different C contents, CR reductions and CTs were analysed. Metallographic etching revealed that the cementite precipitates with coarse morphology in the steels with high CT and with fine morphology when this temperature is lowered. The TEP values of these steels were then compared, which leads to the design of a new method to calculate the C content in solid solution. It was shown that at high CTs the value of the TEP only depends on the carbon content in solid solution, which increases at higher nominal carbon contents and higher CR degrees. At lower CTs, a second contribution should be considered, due to the presence of nitrogen in solid solution. With this new model, the relative weight of each process can be quantified in detail. Finally, it was shown that a decrease in the fraction of the ideal texture for deep drawing, the γ-fibre, is directly related to the total content of interstitial atoms.
Footnotes
Acknowledgements
The authors acknowledge the financial support from the European Union through the European Coal and Steel Community Programme (grant no. ECSC-7210-PR-368) and from the Spanish Ministerio de Ciencia e Innovación (special action MAT 2002-10810-E).
