Formation of Ultrafine Ferrite by Strain-induced Dynamic Transformation in Plain Low Carbon Steel
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1 , pp Formation of Ultrafine Ferrite by Strain-induced Dynamic Transformation in Plain Low Carbon Steel Jong-Kyo CHOI, Dong-Han SEO, Jae-Sang LEE, Kyung-Keun UM and Wung-Yong CHOO POSCO Technical Research Laboratories, Pohang P.O. Box 36, , Korea. (Received on May 24, 2002; accepted in final form on November 24, 2002) Strain-induced dynamic transformation (SIDT) is of great advantage to obtaining ultrafine-grained ferrite in low carbon steels partly by early impingement of ferrite nuclei which are very rapidly and concurrently formed due to the deformation and partly by random crystallographic orientation distribution of ferrite grains. The SIDT fraction increases with the increase of strain. There is, however, a critical strain under which no SIDT occurs. In order to apply this refining mechanism to actual production lines, it is necessary to reduce the critical stain and enhance the kinetics of SIDT. It has been known that refining prior austenite grain is the most effective for this purpose. The influences of deformation temperature and strain rate on SIDT were also examined. Because SIDT is a kind of softening mechanism of strained austenite, it competes with dynamic recrystallization (DRX) at below Ae3 temperature. Comparing the critical strains of SIDT and DRX, SIDT is predominant softening mechanism, which enables us to utilize it for grain refinement. This provides an important clue to overcome the limitation of conventional thermomechanical control process (TMCP) in grain refinement area. KEY WORDS: ultrafine grain; ferrite; strain-induced dynamic transformation; dynamic recrystallization. 1. Introduction The benefits of grain refinement of steel have been well known for a long time. In recent years, it has become a worldwide issue to manufacture ultrafine-grained ferritic steel by imposing heavy deformation in a wide range of processing temperature. 1 10) From their results, it can be said that the deformation temperature is a key parameter to govern the final grain size through the influence on nucleation and growth kinetics. The lower deformation temperature results in the finer final microstructure. On actual mass production scale, however, there exist limitations to the application of low temperature heavy deformation. Therefore, it is necessary to develop the technology to achieve commercially meaningful grain refinement utilizing the existing rolling facilities. It is generally accepted that 5 mm is the limit of conventional thermomechanical control process (TMCP) in mass production lines. In order to overcome this limit, strain-induced dynamic transformation (SIDT) of austenite can be a good candidate. SIDT has been known to people since 1980s ) Among them, some people applied this concept to refinement of microstructures. Systematic and fundamental approaches, however, are still needed to understand more clearly and to apply properly to actual products. In the present study, the characteristic features of dynamic transformation for grain refinement have been examined in detail for the case of plain low carbon steel and the effects of various processing parameters such as deformation temperature, strain rate, strain, and prior austenite grain size (PAGS) on SIDT have been also investigated. Finally, the comparison between SIDT and dynamic recrystallization (DRX) in terms of dynamic softening mechanism of strained austenite has been made. Since the material used in this study is plain low carbons steel, the product phase of dynamic transformation is ferrite. If medium or high carbon steels are investigated, the appearances of final microstructures will differ in many respects while underlying mechanism is the same. In this article, the term strain-induced dynamic transformation will be used in order to emphasize the roles of strain in refining grains and accelerating phase transformation. Other terminology also can be used for the same meaning as SIDT and is open to discussion. Static transformation means the conventional transformation without deformation during transformation and is used here for differentiation from dynamic transformation. 2. Experimental Procedure The steel used in this study is a plain low carbon steel and the chemical composition of the steel is given in Table 1. Ae3 temperature for this composition was calculated as 821 C by using Thermo-Calc. The vacuum induction melted ingot was soaked and hot rolled to 15 mm thick plates. Cylindrical deformation dilatometer specimens with diame- Table 1. Chemical composition (mass%) of the steel used in the experiment ISIJ 746
2 ter of 10 mm and height of 15 mm were machined from these plates. All thermomechanical experiments were performed with Gleeble The specimens were reheated at different temperatures (900, 1 050, and C) for 1 minute in order to obtain various prior austenite grain sizes. After reheating, the samples were cooled to the desired deformation temperatures at the rate of 2 C/s and then deformed in compression at constant strain rates of either 1 or 0.1/s immediately followed by ice-brine quenching. The PAGS and Ar3 temperatures Table 2. Prior austenite grain sizes and Ar3 temperatures at the cooling rate of 2 C/s according to reheating temperatures (holding time 1 min). according to the reheating temperatures are listed in Table 2. In compression experiments, the total strain was limited to 1.2 because samples were too much barreled if the imposed strain exceeds this value. Also the strain used in all graphs is nominal true strain because the strain distribution within specimen is not uniform. The micrographs were taken from the central part of specimen where real strain is larger than nominal one. Therefore there may exist some discrepancy between the results from stress strain curve and metallography in quantitative analyses. 3. Results 3.1. Microstructure of Deformed Sample Figure 1 shows SEM micrographs of samples deformed at various temperatures under the condition that total strain Fig. 1. SEM micrographs of samples deformed at various temperatures (e 1.2, é 0.1/s, reheating temperature 900 C): (a) 900 C, (b) 850 C, (c) 800 C, (d) 775 C, (e) 750 C, (f) 700 C, and (g) 650 C ISIJ
3 is 1.2, strain rate is 0.1/s, and reheating temperature is 900 C. Three different characteristic microstructures were obtained according to the deformation temperature ranges. If deformation temperature is higher than Ae3 temperature (Figs. 1(a) and 1(b)), only martensite can be observed in the final microstructure because there is no phase transformation at all. When deformation temperature is lowered than Ae3 temperature but kept higher than or equal to Ar3 temperature (Figs. 1(c), 1(d), and 1(e)), the final microstructure is composed with very fine polygonal ferrite ( 2 mm) and martensite phases. It can be seen that the ferrite fraction increases with the decrease in deformation temperature because the chemical driving force for phase transformation becomes higher. Finally, if samples are deformed at lower temperature than Ar3 temperature (Figs. 1(f) and 1(g)), the microstructures are mixed with fine polygonal ferrite grains, relatively coarse elongated ferrite grains with many subboundaries in them, and low temperature transformation phases formed during ice-brine quenching. Figure 2 represents the evolution of flow stress with compressive strain at the deformation temperature of 750 C where reheating temperature is C and strain rate is 0.1/s. When the strain reached a preset value during loading, the specimen was unloaded and immediately quenched into ice-brine. The microstructures of quenched specimens at each strain level are shown in Fig. 3. As can be seen in the figure, the fraction of fine polygonal ferrite increases with strain while the ferrite grain size (FGS) remains almost constant Strain-induced Dynamic Transformation The very fine polygonal ferrite grains observed in quenched specimens just after deformation at below Ae3 temperature were formed during deformation, which means that g-to-a transformation was occurred dynamically during deformation in analogy with dynamic recrystallization. In order to compare the ferrite grain sizes obtained from dynamic and static phase transformations, two types of experiment were carried out. One is the ordinary isothermal transformation experiment. The samples were austenitized at C and cooled at the rate of 2 C/s down to 750 C which is higher than Ar3 (734 C). They were isothermally held at 750 C for 120 s in order for the (static) transformation to proceed and then quenched. The other is dynamic transformation experiment. The samples were austenitized and cooled to 750 C under the same condition as that of static transformation. The samples, however, were continuously deformed during the isothermal holding at 750 C for 120 s. Since strain rate was 0.01/s, total strain became 1.2. The transformation occurred during this period is dynamic because it took place during deformation. The samples were also quenched after isothermal holding. Figure 4 shows heat cycles and corresponding microstructures of these two kinds of transformation experiment. The density of ferrite grain, FGS, and transformed Fig. 2. Evolution of flow stress with compressive strain at the deformation temperature of 750 C (é 0.1/s, reheating temperature C). Fig. 3. Microstructures (SEM) of quenched specimens at preset strain values in Fig. 2: (a) e 0.2, (b) e 0.4, (c) e 0.6, and (d) e ISIJ 748
4 Fig. 4. SEM micrographs of specimens transformed at 750 C for 120 s (a) without loading and (b) under compression at the strain rate of 0.01/s and total stain of 1.2 (reheating temperature C). Table 3. Comparison of density of ferrite grain, ferrite grain size, and ferrite fraction between dynamic and static transformations (Transformation temperature 750 C, transformation time 120 s, é 0.01/s, reheating temperature C). fraction of ferrite for each type of transformation are listed in Table 3. Comparing the number of grains per unit area, dynamic transformation has about fifteen times as many grains as static transformation. It is deduced from this result that the dynamic transformation remarkably increases ferrite nucleation rate. In addition to this, dynamic transformation gives much more finer ferrite than static transformation. The reason for this fine ferrite in dynamic transformation can be attributed to two factors: one is high nucleation rate of ferrite and the other is random distribution of ferrite grain orientations. Ferrite nucleation is greatly enhanced by the deformation which increases dislocation density at defect sites where ferrite nuclei are preferentially formed such as prior austenite grain boundaries, deformation bands, twin boundaries, etc.. Once ferrite nuclei are formed, they will grow very rapidly because the diffusion rate also greatly increases due to high dislocation density. This will make the ferrite grains to impinge on each other at the very early stage of grain growth. If the neighboring ferrite grains have similar orientations, they will easily coalesce into a single grain. Figure 5 reveals the results of EBSD analysis on the orientation distribution of ferrite grains dynamically transformed at 750 C at the strain rate of 0.1/s, the same condition as in Fig. 1(e). The fraction of low angle boundary, whose misorientation angle is lower than 15 degrees, was found to be about 11% (2.2% for Mackenzie distribution). Therefore, it is known that the ferrite grains have random orientation distribution Fig. 5. Distribution of misorientation angles of ferrite grains dynamically transformed under the condition of deformation temperature of 750 C and strain rate of 0.1/s, the same condition as Fig. 1(e). which means that dynamically formed ferrite grains have mainly high angle boundaries and are relatively stable against coarsening Nucleation Sites for SIDT Figure 6 shows optical micrographs revealing the change of nucleation sites according to the strain level under the same condition as that in Fig. 3 but at lower magnification to show broader region, reheating temperature of C, strain rate of 0.1/s, and deformation temperature of 750 C. When strain is small (e 0.2), the SIDT ferrite starts to form along the prior austenite grain boundaries. As the strain is increased, the interior of austenite grains become activated as nucleation sites for SIDT ferrite which are probably deformation bands or annealing twin boundaries, etc. It can be misunderstood that the SIDT ferrite fraction in Fig. 6 (optical) is larger than that in Fig. 3 (SEM), especially in larger strain cases, even though the testing conditions are the same. Comparing these two Figs. 3 and 6 carefully, ISIJ
5 Fig. 6. Optical micrographs of quenched specimen revealing the variation of nucleation sites of SIDT as a function of strain under the same experimental condition as Fig. 3: (a) e 0.2, (b) e 0.4, (c) e 0.6, and (d) e 1.0. the martensite islands between SIDT ferrite are so fine that they look like SIDT ferrite in low magnification optical micrographs. This has a great advantage to obtaining fine and uniform microstructure especially in usual manufacturing processes. If coarse austenite is remained too much after SIDT such as Fig. 3(a) or 3(b) cases, the untransformed part will statically transform to coarse ferrite during interpass time or cooling stage. This results in a bimodal distribution of fine (dynamic transformation) and coarse (static transformation) ferrites in final microstructure. If untransformed austenite remains fine as islands between dynamically transformed ferrites, then they will transform to fine ferrites during cooling even though it is static transformation Effect of Prior Austenite Grain Size The fraction of SIDT ferrite was metallographically measured and the variations with PAGS and strain rate are plotted in Fig. 7. In this case, the total strain is 1.2. PAGS has a great effect on the SIDT. The smaller PAGS, the higher the fraction of SIDT ferrite under a given deformation condition. This is mainly because the prior austenite grain boundary is the most preferential nucleation site for SIDT ferrite. The smaller PAGS has the more grain boundary area in a given volume of material and this will result in the larger volume fraction of ferrite on the assumption that the widths of SIDT ferrite agglomerates formed along the prior austenite grain boundaries are the same irrespective of PAGS. In Fig. 7, the equilibrium ferrite fraction curve calculated by using Thermo-Calc is also drawn. One thing noteworthy in this figure is that the SIDT ferrite fraction reaches almost equilibrium value when the PAGS is sufficiently small, e.g., 11 mm for reheating temperature of 900 C. As the deformation temperature is lowered, the fraction of SIDT ferrite Fig. 7. Variation of SIDT ferrite fraction with deformation temperature as a function of reheating temperature and strain rate. Equilibrium ferrite fraction was calculated by using Thermo-Calc. steeply increases just like the increase of equilibrium ferrite fraction. From Fig. 7, it can be said that deformation temperature shows the most significant effect on the SIDT fraction among the processing parameters considered here. This implies that the chemical driving force for the transformation is still very important because the kinetics of SIDT is mainly affected by transformation temperature even though it is stimulated by mechanical deformation. As the strain rate is increased, the fraction transformed slightly decreases. This is because the transformation time becomes shorter if strain rate is increased. The effect of strain rate, however, is not as remarkable as that of PAGS and deformation temperature ISIJ 750
6 4. Discussion 4.1. Grain Refinement by SIDT The first issue to be considered is whether the ferrite transformation occurs dynamically during deformation or not. This kind of question may arise because the incubation time for static transformation would become so short due to the deformation that some part of highly dislocated austenite may start to transform to ferrite in the course of quenching. This question can be solved if we take a close look at Figs. 1, 2, and Fig. 8. It is known from the Fig. 1 that the quenched samples have characteristic microstructures according to the relative position of deformation temperatures to the critical temperatures, i.e., Ae3 and Ar3. For example, no ferrite can be observed in Figs. 1(a) and 1(b) where the deformation temperature is higher than Ae3. Comparing the microstructures of Figs. 1(b) and 1(c), there exists a drastic change between them while the temperature difference is only 50 C. If the fine ferrite grains observed in Figs. 1(c) 1(g) were not formed during deformation but during quenching, it is reasonable that one should observe some ferrite grains also in Figs. 1(a) and 1(b), which is not the case. As can be observed in Fig. 2, the stress strain curve obtained during deformation at the temperature lower than Ae3 reveals that a certain dynamic softening mechanism is operated during the deformation. This softening is the result of dynamic transformation of austenite to ferrite (Figs. 3 and 6) and will be discussed in more detail in comparison with DRX in the following section. Finally, a specially designed dilatometric experiment was carried out to prove the dynamic transformation. A specimen is heated and deformed at a certain temperature and then cooled down to ambient temperature. During cooling, the diametral change is recorded so that the extent of phase transformation be quantitatively measured. This specimen is heated again to high enough temperature for full austenitizing and then cooled again at the same cooling rate as primary cooling step. During this secondary cooling, the change in specimen s diameter is also recorded and, finally, the changes in specimen s diameter with temperature during primary and secondary cooling steps are compared with each other. Figure 8 shows the results of this kind of dilatometric experiment. In Fig. 8(a), the specimen was deformed by the strain of 0.8 at 900 C which is higher than Ae3 temperature, i.e., austenite region. In order to gain consistency, the variations of relative dilation of specimen with temperature are plotted with the normalized value to that at deformation temperature designated as O in the figure. As can be seen, both the primary and secondary cooling dilatometric curves exactly overlap except only transformation start temperature due to the different conditions of austenite, which implies that, during deformation at austenite region, there was no phase transformation. On the other hand, in Fig. 8(b), the specimen was deformed at 775 C followed by cooling to ambient temperature. In this case, the deformation temperature lies between Ae3 and Ar3 temperature. The dilation curve in primary cooling for deformed specimen underlies that in secondary cooling, which implies that there occurred some extent of phase transformation during the Fig. 8. Comparison of dilation curves between deformed specimen and reheated specimen: (a) deformed at austenite region (900 C) and (b) deformed at below Ae3 temperature (775 C). deformation at below Ae3 temperature. Moreover, from the difference between these two curves, it is possible to calculate the fraction of phase transformation during deformation. In Fig. 8(b), the ratio of length AB/AC corresponds to the fraction of dynamically transformed ferrite during deformation at 775 C. From these experimental results, it is convinced that the g-to-a transformation occurs dynamically during deformation if the imposed strain exceeds a critical level. One of the most important features of dynamic transformation is refinement of final microstructure. As mentioned in the previous section, two metallurgical factors can be proposed as the main causes for grain refinement: high nucleation rate and random orientation distribution. An attempt of quantitative analysis on the increase of ferrite nucleation rate by deformation was made by Suh 20) using pillbox model. 21) Equation (1) expresses the ratio of nucleation rate of deformed state to that of undeformed state. J*( s deformed) Dapp Sd J*( s undeformed) DL S0 αγ 2 αγ 2 4πσ ( ) ε 4πσ ( ) ε exp φ kt φ kt d 2 d 2...(1) where J s * is steady state nucleation rate of ferrite, D app and D L are apparent diffusivity and lattice diffusivity of carbon ISIJ
7 atom, respectively, S is number of nucleation site, f represents free energy of driving force for nucleation, e and s ag are functions related with interfacial energy. The subscripts d and 0 denote deformed and undeformed states, respectively. From this equation, it is known that strain increases diffusivity, number of nucleation site, and driving force for transformation which individually have the effects of increasing nucleation rate. Of course, these factors will also increase the growth rate of ferrite nuclei. Therefore, it is easily expected that the ferrite grains impinge on each other at the very early stage of growth. Suh 20) has calculated the effects of each factor by using appropriate models and concluded that the nucleation rate can be accelerated up to 10 4 times by deformation. Since there are lots of imperfections within the polycrystalline material, the strain cannot be uniformly distributed throughout the material during deformation in a microscopic sense. The lattice structures at prior austenite grain boundaries, deformation bands, annealing twin boundaries, etc., will become easily distorted during deformation. Consequently, it is not difficult to expect that dynamically transformed ferrite nuclei from these highly dislocated regions will have quite random orientations. Actually, the dynamically transformed ferrite grains have random orientations as shown in Fig. 5. This high misorientation angles between neighboring grains will retard coalescence of ferrite grains. These two facts, rapid nucleation followed by early impingement and random orientation distribution, are believed to be the main reasons for the grain refinement by dynamic transformation Critical Strain for SIDT Figure 9 schematically represents the relationship between strain and transformation start curve. There is no doubt that deformation accelerates phase transformation kinetics, both nucleation (start) and growth (finish). If imposed strain is so small (e e 1 ) that transformation doesn t start until the deformation is ceased, dynamic transformation will not occur at all. If deformation is continued, however, so that transformation starts during strain is being imposed (e e 2 ), then transformation will dynamically start. Therefore, it can be said that critical strain (e c ) for SIDT lies between e 1 and e 2. Because the strain should be larger than at least critical level in order to initiate dynamic transformation, it is very important to know critical strain Fig. 9. Schematic representation of the variation of transformation start curve as a function of strain. for SIDT. The critical strain can be measured metallographically or dilatometrically if we can draw a plot of dynamic transformation fraction versus strain. The strain under which the SIDT fraction is null becomes the critical (threshold) strain. There is a simple method for determining critical strain of SIDT by using stress strain curve. Poliak and Jonas 22) analyzed thermodynamically and kinetically the onset of DRX in terms of a model based on the principles of nonequilibrium thermodynamics. They had deduced that the initiation of DRX requires two conditions: local maximum stored energy and minimum dissipation rate, and the initiation of DRX corresponds to the following condition. θc...(2) σ σ 0 where q is the conventional strain hardening rate ( s/ e). Equation (2) means that the onset of DRX corresponds to the inflection point in q-s plot and the local minimum point in ( s/ e) versus s plot. Basically SIDT and DRX are similar phenomena in that they are dynamic softening mechanisms of deformed austenite. The only difference is that ferrite grains are formed from deformed austenite by SIDT whereas austenite grains are formed by DRX. Consequently, Poliak and Jonas s method can be applied with no modification to determine the critical strain for SIDT. As a sample case, the stress-strain curves at various deformation temperatures for strain rate of 0.1/s and reheating temperature of C are shown in Fig. 10(a). It is evident that dynamic softening occurred at all testing conditions. Figure 10(b) shows the variations of strain hardening rate with flow stress for different testing temperatures. The inflection points of each curve in Fig. 10(b) lie on a single straight line passing through the origin with the slope of 1.9, which indicates that the rate of substructural change at the critical state is constant irrespective of softening mechanism. 22) From local minimum in ( s/ e) versus s plots (the same as the intersection points in Fig. 10(b)), the critical strain values were determined and shown in Fig. 11 for various experimental conditions: deformation temperature, reheating temperature, and strain rate. As far as the critical strain is concerned, strain rate effect is more pronounced than PAGS contrary to the effect on transformation fraction by SIDT. Even though the effect is relatively small, the smaller PAGS shows the smaller critical strain value. Among the processing parameters, lowering reheating temperature (small PAGS) has the most pronounced effects on the promotion of SIDT both by reducing critical strain and accelerating the kinetics a great deal. It can be seen that the deformation temperature dependency of critical stain is changed at just below Ae3 temperature. In the region above Ae3, critical strain increases as testing temperature is lowered whereas the reversed dependency is shown in the region below Ae3. At above Ae3, since ferrite is not thermodynamically obtainable, possible softening mechanism is DRX. It has been well known that the critical strain for DRX increases with increasing Zener- Hollomon parameter. 23) Thus the temperature dependency of critical strain for DRX at this temperature region is easi ISIJ 752
8 Fig. 12. Schematic illustration of temperature dependencies of critical strains of SIDT and DRX. Fig. 10. (a) Stress strain curves at various deformation temperatures (reheating temperature C, é 0.1/s) and (b) plot of strain hardening rate against flow stress calculated from the stress strain curves in (a). chemical driving force for g-to-a transformation increases. At the same time, the driving force for nucleation of SIDT will also increase, which results in the decrease in critical strain for SIDT with decreasing testing temperature. If the critical strain for SIDT is larger than that of DRX in this temperature region, then DRX will occur earlier as strain is imposed. In other words, these two softening mechanisms compete with each other because the preferential sites for both mechanisms are the same and the softening mechanism having lower critical strain is operated earlier and preoccupies the possible nucleation sites such as grain boundaries and deformation bands, etc.. In Fig. 11, from the microstructural examination, DRX conditions are marked as open symbols whereas SIDT conditions are marked as solid symbols. The results coincide with the above-mentioned reasoning. For the case where deformation temperature is lower than Ar3, half solid symbols are used. From the experimental results and consideration of each mechanism of SIDT and DRX, the temperature dependencies of critical strains are schematically illustrated in Fig. 12. It is fortunate that we can utilize dynamic transformation phenomenon for the refinement of microstructures in carbon steels owing to the lower critical strain than DRX at below Ae3 temperature. Fig. 11. Change of critical strain for SIDT or DRX with deformation temperature as a function of reheating temperature and strain rate (open mark: DRX, solid mark: SIDT, and half solid mark: SIDT after static transformation start). ly understood. In the temperature region where temperature dependency of critical strain is reversed, the change of softening mechanism is expected. It is clear from Figs. 1, 2, 4, and 8 that SIDT, instead of DRX, had occurred at below Ae3 temperature. As specimen s temperature is decreased from Ae3, the 5. Conclusions (1) Strain-induced dynamic transformation (SIDT) can be very effectively used for the grain refinement in low carbon steels. About 2 mm ferrite grains are obtained through dynamic transformation in the temperature range between Ae3 and Ae1. (2) The main contributions of SIDT to the grain refinement are very rapid and concurrent nucleation and random orientation distribution of ferrite grains due to the deformation. (3) The fraction of SIDT ferrite increases with the increase of strain. There is, however, a critical strain under which no SIDT occurs. (4) As softening mechanisms of strained austenite, SIDT and dynamic recrystallization (DRX) compete with each other. Under Ae3 temperature where the critical strain for SIDT is smaller than that of DRX, SIDT is predominant softening mechanism ISIJ
9 (5) Because prior austenite grain boundary is the most potential nucleation site for SIDT ferrites, the decrease in prior austenite grain size accelerates SIDT kinetics. Increasing strain rate results in the smaller fraction of SIDT ferrite probably due to the insufficient time for transformation. As deformation temperature is lowered, the SIDT fraction increases under a given deformation condition. REFERENCES 1) P. D. Hodgson, M. R. Hickson and R. K. Gibbs: Mater. Sci. Forum, (1998), 63. 2) S. Torizuka, O. Umezawa, K. Tsuzaki and K. Nagai: Mater. Sci. Forum, (1998), ) S. Torizuka, J. Takahashi, O. Umezawa, K. Tsuzaki, K. Nagai, S. Genda and Y. Kougo: CAMP-ISIJ, 12 (1999), ) W.-Y. Choo, D.-H. Seo and S.-W. Lee: CAMP-ISIJ, 12 (1999), ) N. Matsukura and S. Nanba: CAMP-ISIJ, 12 (1999), ) T. Hayashi, S. Torizuka, K. Tsuzaki and K. Nagai: CAMP-ISIJ, 12 (1999), ) Y. Adachi, T. Tomita and S. Hinotani: CAMP-ISIJ, 12 (1999), ) M. Fujioka, Y. Abe, Y. Hagiwara, Y. Adachi, N. Matsukura, T. Hosoda and H. Mabuchi : CAMP-ISIJ, 12 (1999), ) Y. Q. Weng: Proc. of Int. Workshop on the Innovative Structural Materials for Infrastructure in 21st Century, NRIM, Tsukuba, (2000), ) R. Priestner and A. K. Ibraheem: Mater. Sci. Technol., 16 (2000), ) R. Priestner: Thermomechanical Processing of Austenite, ed. by A. J. De Ardo et al., TMS-AIME, Warrendale, PA, (1982), ) Y. Matsumura and H. Yada: Trans. Iron Steel Inst. Jpn., 27 (1987), ) E. Essadiqi and J. J. Jonas: Metall. Trans. A, 19A (1988), ) A. Zarei Hanzaki, R. Pandi. P. D. Hodgson and S. Yue: Metall. Trans. A, 24A (1993), ) R. Pandi and S. Yue: ISIJ Int., 34 (1994), ) S.-H. Lee, D-I. Kwon, Y.-K. Lee and O.-J. Kwon: Metall. Mater. Trans. A, 26A (1995), ) B. Mintz, J. Lewis, and J. J. Jonas: Mater. Sci. Technol., 13 (1997), ) C.-M. Li, H. Yada and H. Yamagata: Scr. Mater., 39 (1998), ) P. D. Hodgson, M. R. Hickson and R. K. Gibbs: Scr. Mater., 40 (1999), ) D.-W. Suh: Ph.D. Thesis, Seoul National Univ., (2000). 21) W. F. Lange, III, M. Enomoto and H. I. Aaronson: Metall. Trans. A, 19A (1988), ) E. I. Poliak and J. J. Jonas: Acta Mater., 44 (1996), ) G. Zhu, J. Gao, S. V. Subramanian and L. E. Collins: Thermomechanical Processing of Steels, TIM, London, (2000), ISIJ 754
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