ISSN 0036-0295, Russian Metallurgy (Metally), Vol. 2008, No. 5, pp. 391–397. © Pleiades Publishing, Ltd., 2008. Original Russian Text © O.P. Maksimkin, K.V. Tsai, 2008, published in Metally, 2008, No. 5, pp. 39–47. Magnetometric Study of the ' Martensite Transformationin a Neutron-Irradiated 12Kh18N10T Steel O. P. Maksimkin and K. V. Tsai Institute of Nuclear Physics, National Nuclear Center, Republic of Kazakhstan, ul. Ibragimova 1, Almaty, 480082 Republic of Kazakhstan Received August 24, 2007 Abstract—The α'-martensite formation in the corrosion-resistant 12Kh18N10T steel unirradiated and irradi18 –2 ated by neutrons (to a dose of 5 10 cm ) is studied by magnetometric measurements during its static defor-mation in the course of repeated unloading–loading cycles. Kinetic curves are plotted, and the parameters of the variation in the α'-martensite content in deformed samples are determined for the following two types of measurements: under loading (dynamic curve of α'-martensite accumulation) and unloading (static curve). The nature of the complex change in the magnetization of the deformed steel samples during unloading, which man-ifests itself in detecting the so-called elastic martensite, is discussed. PACS numbers: 62.20.-x DOI: 10.1134/S0036029508050066 INTRODUCTION The results of numerous experiments on the uniaxial tension of metastable austenitic stainless steels [1–3] indicate that, from a certain critical strain (stress) to failure, the α' martensite (deformation-induced martensite), which has ferromagnetic properties, nucleates and accumulates in samples. The formation of the α ' martensite substantially affects the plastic flow, deformation localization, and the character of the tensile curve of these steels. Usually, the problem of describ-ing the laws of the α '-martensite formation and growth in a deformed sample as a function of the continuously recorded mechanical deformation characteristics (force P, linear elongation ∆l) is reduced to finding a static kinetic relation Mf = f(τ), where Mf is the α'-martensite content in the sample by time τ. Researchers use a set of discrete experimental values {M f i , ∆li} obtained during periodic unloading of a deformed sample followed by recording the residual strain and measuring the α'-martensite content by X-ray diffraction, Möss-bauer spectroscopy, dilatometry, or hydrostatic weigh-ing [3– 6]. This is a rather long procedure, which is also complicated by a change in the state of the sample after every new stage of determining the α'-martensite content for the next loading. This creates difficulties for matching the experimental data obtained. With the experimental technique used in this work [7, 8], we can determine the dynamic (obtained during deformation) characteristics of α '-martensite accumulation in the material and to reveal a change in the martensite content upon unloading. This technique uses the ferromagnetic property of the α' martensite that forms during deformation in an initially paramagnetic austen- ite matrix. As for magnetometric measurements, this work resembles the studies of magnetoelastic effects by constructing the dependence of the magnetic induction on the mechanical stresses during loading and unloading [9, 10]. The qualitative difference consists in the fact that the object of inquiry is represented by a ferromagnetic phase whose content can change as a function of the degree of plastic deformation. Neutron irradiation is known to strongly affect the microstructure of austenite and to substantially change the character of the deformation of steel samples and the formation of the α' martensite in them [8, 11, 12]. Therefore, the purpose of this work is to study the kinetics of the deformation martensite formation in an irradiated austenitic steel. EXPERIMENTAL We studied the corrosion-resistant austenitic 12Kh18N10T steel of the following chemical composi-tion: Fe C Cr Ni Ti Si Mn P S Base 0.12 17.00 10.66 0.50 0.34 1.67 0.032 0.013 The tendency of this steel toward the formation of deformation martensite is relatively weak: the total α'martensite content upon uniaxial tension to the ultimate tensile strength in the 12Kh18N10T steel does not exceed 2–3%. For mechanical tests, we prepared dumbbell samples with a gage portion 10 mm in length and 1.7 mm in diameter (Fig. 1). To avoid possible ferrite inclusions, which could affect the purity of the experiment, 391 392 MAKSIMKIN, TSAI 10 ∅ 1.7 9 3.5 5 . ∅5 ∅3 36.5 Fig. 1. Appearance and dimensions of a cylindrical steel sample for uniaxial tension. Fig. 2. Schematic diagram for the setup used for magnetometric measurements: (1) excitation coils, (2) measuring coils, (3) amplifier, (4) amplifying–measuring deformed sample, and (6) reference sample. unit, (5) we performed the austenitization of the samples at 1050C for 30 min followed by water cooling. After a preliminary heat treatment, the steel samples were paramagnetic. To study the effect of irradiation on the phenomena analyzed in this work, some samples were subjected to neutron irradiation in the core of a VVR-K reactor to a dose of 5 1018 cm–2 at a temperature below 100C. Uniaxial tensile tests were carried out on an FR100/1 tensile-testing machine at 20C and a speed v = 0.5 mm/min. This machine was equipped with a special-purpose device intended for the in situ measurement of the total content of the deformation-induced ferromagnetic α' martensite from the magnetization of a deformed cylindrical steel sample during deformation. The device for the magnetometric measurements contained two excitation coils 1 connected in series and inductively coupled measuring coils 2 turned on toward each other (Fig. 2). The excitation coils were powered from low-frequency public-address amplifier 3, and the signal from the measuring coils passed to amplifying– measuring unit 4. Samples 5 and 6, whose gage portions were inside the measuring coils, were measured. In contrast to reference sample 6, sample 5 was intended for deformation and was fixed in the grips of the tensile-testing machine. When sample 5 was subjected to tension, the α' martensite nucleated in its structure, the magnetization of the steel sample changed, and a transducer recorded a disbalance signal. To convert the magnetization into the percentage of the ferromagnetic phase in the sample, we used a standard with a known α'-phase content, similar to the technique in [13]. The sensitivity of determining the magneticphase content in the sample was ~0.05%. Using this experimental technique, we simultaneously obtained a continuous synchronized stress– strain diagram and a magnetization curve for a deformed sample during both loading and unloading. The magnetometric data represented information on the relative percentage of the ferromagnetic phase in the deformed material. To obtain points in a static magnetization curve, i.e., the curve obtained by magnetometric measurements during unloading, the sample was periodically unloaded during deformation and was then again loaded. Simultaneously, we detected a change in the magnetometric signal from the deformed sample. The mechanical tests with step-by-step unloading, repeated loading, and the recording of magnetometric data were performed on neutron-irradiated and unirradiated 12Kh18N10T steel samples. As a result, we obtained information on the behavior of the steel magnetization during unloading at various stages of plastic deformation. The measurement data obtained on irradiated samples were compared with the data obtained on unirradiated samples to estimate the effect of irradiation on the kinetics of the ferromagnetic phase in a deformed sample during unloading. It should be noted that the measurement of the magnetic signal depends substantially on the sensitivity and design of the magnetometric transducer. Nevertheless, with the experimental setup, we were able to reliably estimate the character of the change in the magnetic response from deformed samples during continuous deformation and unloading. RESULTS AND DISCUSSION Figure 3 shows the typical experimental diagrams in the P–∆l and Mf–∆l coordinates for the 12Kh18N10T steel that were obtained during loading and during periodic unloading and repeated loading. The elastic part of deformation is known to be restored after unloading in the range of the plastic flow in metallic samples. In the tensile curve presented in the P–∆l coordinates (Fig. 3, curve 1), this process is described by a linear relationship (dashed lines) with a slope that is equal to the elastic modulus of the material. During the repeated loading of a sample above its yield strength, the tensile curve continues practically from the point in the curve from which unloading began if a rather short time has passed since unloading. With a magnetic transducer, we simultaneously record a change in the magnetization I, which is connected with a change in the relative content of the α' martensite in the sample by the relation Mf(∆l) = I(∆l)/I0 (Fig. 3, curve 2). Here, I0 = 1.4B corRUSSIAN METALLURGY (METALLY) Vol. 2008 No. 5 MAGNETOMETRIC STUDY OF THE γ α' MARTENSITE TRANSFORMATION responds to the “zero” of the magnetic transducer. During repeated loading, the curve of the change in the magnetization is close to the corresponding unloading curve and is slightly shifted up along the ordinate axis. The table gives the mechanical characteristics of the deformed 12Kh18N10T steel in the initial state (with-out irradiation) and after neutron irradiation to a dose of 5 1018 cm–2 that were calculated from the experimental diagrams. Here, σcrM and δcrM are the critical stress and strain, respectively, for the appearance of the α ' martensite in the deformed sample, and MBf is the maximum total α'-martensite content, which specifies the magnetization detected at failure. Neutron irradiation is known to substantially modify the physicomechanical properties of metallic materials. Most often, it leads to radiation hardening (an increase in σ0.2 and σu), a decrease in the length of the uniform deformation section, and a decrease in the total plasticity [11, 12]. An analysis of the mechanical properties of metastable chromium–nickel steels subjected to neutron irradiation over a wide dose range demon-strates that, apart from radiation embrittlement, an irra-diated material can also behave anomalously during tension. Specifically, an irradiated steel can exhibit a relatively high plasticity at a relatively high dose (~1021 cm–2) [14]. In our case (see table), neutron irra-diation followed by tension at a temperature of 20C and a rate of ~10–4 cm–1 results in this deformation behavior of the 12Kh18N10T steel. It exhibits insignif-icant radiation hardening, and the curve of the irradi-ated steel is slightly below that for the unirradiated material in the section of a localized flow in the P– ∆ l stress–strain diagram. As compared to the unirradiated material, the plasticity of the steel after irradiation remains almost the same. A higher sensitivity to irradiation is observed when the magnetization, which characterizes the α'-martensite content, is measured in a deformed steel sample. As follows from the stress–strain diagram, the critical strain corresponding to the beginning of α'-martensite formation in the irradiated steel decreases to ~4%. For comparison, the α ' martensite in the unirradiated 12Kh18N10T steel begins to form in an austenitic matrix at a critical strain of ~17%. Thus, upon neutron irradiation, the beginning of α' martensite formation during tension shifts toward low strains as compared to the unirradiated material. This effect was observed ear-lier in unirradiated steels with significant radiation Mf, arb. units P, kN 1.6 393 (a) 25 1 20 1.2 2 15 0.8 10 0.4 5 0 1 2 3 4 ∆l, mm 0 Mf, arb. units 25 2 20 P, kN 1.6 (b) 1 1.2 15 0.8 10 0.4 0 5 1 2 3 4 ∆l, mm 0 Fig. 3. (1) P–∆l tensile curves recorded during step-bystep unloading and repeated loading (dashed lines indicate unloading–loading cycles) and (2) the corresponding Mf–∆ l magnetization curves for the deformed samples of 12Kh18N10T steel (a) in the austenitized unirradiated state and (b) after neutron irradiation. hardening, which was accompanied by the loss of plas-ticity [15]. It was noted that a localized flow and neck-ing can begin immediately after the yield strength because of a decrease in the length of the uniform elon-gation section. The maximum strains concentrate in the region of a localized flow, and the α '-martensite content increases substantially there. At a constant strain rate, the intensity of the deformation martensite formation can be expressed through the α'-martensite content ∆Mf accumulated in deformation time ∆τ, ∆Mf/∆l. It was found that, as compared to the unirradiated material, the intensity of the α'-martensite formation in the neck of the irradiated steel is higher. In some cases, the total α'-martensite content decreases in the irradiated samples deformed to failure. Effect of neutron irradiation on the mechanical properties of austenitic 12Kh18N10T steel State of the steel Before irradiation After irradiation σ0.2 σu δu MPa 274 358 δ % 722 725 RUSSIAN METALLURGY (METALLY) 42 36 Vol. 2008 52 47 No. 5 M σcr , MPa 539 473 δcr M 17 4 ,% B M f, arb. units 15.5 22.5 394 MAKSIMKIN, TSAI Mf P It follows from Fig. 4 that, if the tension of a sample is broken at any time τi = ∆li/v (which corresponds to a certain α'-martensite content M f i ), the magnetometer signal is not constant as the sample is unloaded: it first increases, passes through a maximum, and decreases to a certain value. As a result, we have 3 I Msf = MDf + ∆ M f , III i 2 1 ∆l i D is the relative α'-martensite content that corresponds to the full magnetization of the sample in the loaded state and Msf i is the martensite content that corresponds to the remanent magnetization of the sample after unloading. Both the sign and value of ∆ M f i (i.e., the α' martensite accumulated in time τi) depend on the degree of the preliminary tension of the steel sample. In other words, the magnetic response from an unloaded steel sample containing the α' martensite depends strongly on the state of the sample before unloading. If where M f i II 0 i 0 Fig. 4. (I) Generalized tensile curve and (II, III) the total content of the ferromagnetic α' martensite in corrosionresistant austenitic 12Kh18N10T steel: (I) P–elongation ∆l tensile diagram, (II) dynamic magnetization curve for a steel sample obtained under loading, and (III) static magnetization curve for a steel sample obtained under unloading. (1, 2, 3) Magnetization of a deformed sample during unloading at the time when elongation ∆l is <∆lu, ≈∆lu, and the sample is unloaded at ∆li < ∆lP, where ∆lP corre- sponds to the ultimate tensile strength and the intense deformation localization processes in the sample, then ing to the ultimate tensile strength of the sample. Msf > MDf (Fig. 4, curve 1). If ∆li > ∆lP, we have s D M f < M f (Fig. 4, curve 3). If the sample is unloaded In [12, 15], this effect was related to a significant decrease in the plasticity and the accompanying embrit- near the ultimate tensile strength, i.e., at ∆lP (Fig. 4, tlement. In our case, the total α'-martensite content in curve 2), the remanent magnetization of the sample is >∆lu, respectively, where ∆lu is the elongation correspond- both the neck and body of the 12Kh18N10T steel sam- ples irradiated to a dose of 5 1018 cm–2 (which do not exhibit a substantial decrease in the plasticity) is higher than the α'-martensite content in the deformed unirradiated steel. To explain this effect, it is necessary to perform additional studies, which is beyond the scope of this work. During periodic unloading of samples at various stages of their deformation, we detected a nonlinear relation between the magnetization I of the unloaded sample and the linearly decreasing load P (see Fig. 3). The coordinates of the first and last points in the magnetization curve correspond to the beginning and end of unloading, and the magnetizations at the beginning of unloading and after complete unloading are significantly different in some cases. A comparison of the recorded diagrams demonstrates that, although the unirradiated and irradiated states of the 12Kh18N10T steel exhibit different tendencies toward α'-martensite formation, they are characterized by similar effects recorded by a magnetic transducer during loading– unloading and repeated loading. To analyze these results, it is convenient to represent them in the form of generalized diagrams, i.e., in the form of the superimposed curves plotted in the P–∆l (Fig. 4, curve I) and Mf–∆l (Fig. 4; curves II, III) coordinates. The magneti- most often characterized by the relation Msf ≈ MDf. The whose shapes are close to parabolas with branches directed down. “spike” increases with the α'-martensite content in the material at the time of unloading. zation curves during unloading represent fragments lines drawn through points M f and D s M f correspond to the following two magnetometric curves: dynamic curve II (it reflects the α'-martensite content in the loaded sample at various strains) and static curve III (it characterizes the process of the periodic unloading of the sample). The shape of the Mf–∆l unloading curve can be explained on the assumption of the simultaneous operation of the following two factors: a magnetoelastic effect, which changes the magnetization of the ferromagnetic component as a result of unloading, and a possible change in the total ferromagnetic-phase content in the deformed sample. An increase in the load applied to an elastically or plastically deformed ferromagnet to the yield strength is known to change its magnetization (so-called Villari effect) [9, 16]. In our case, mechanical stresses change the magnetic properties of the α' martensite. It should be noted that the α' martensite also accumulates in the sample during tension, which should increase the magnetic signal. Unloading first leads to a significant and almost instantaneous increase in the magnetometer signal ∆I+, which indicates a negative sign of the Villari effect for the α' martensite. As is seen from Fig. 3, the magnitude of this RUSSIAN METALLURGY (METALLY) Vol. 2008 No. 5 MAGNETOMETRIC STUDY OF THE γ In some cases, we detected a significant decrease in the magnetization of plastically deformed steel samples ∆I– in the second part of the unloading cycle. As is seen from Fig. 3, this effect in irradiated 12Kh18N10T steel samples begins to manifest itself at lower strains compared to the unirradiated samples (the residual strains δ for the unirradiated and irradiated steels are ~40 and 27.5%, respectively, and the initial external stresses σ at the initial stage of unloading were close to each other (727 and 713 MPa, respectively)). We could assume that the decrease in the magnetization is caused by the redistribution of internal stresses in the deformed sample upon unloading, which results in a local stress jump in some areas. Quantitatively, this effect is likely to be smaller than the initial increase ∆I+. The ∆I curves of the steel samples in an unloading cycle at σ _ σu satis-fies this explanation. However, when a sample with the state σ ≥ σu is unloaded, the decrease in the magnetiza-tion becomes comparable with and, then, exceeds its initial increase during the unloading of the sample due to the Villari effect. This finding indicates that, when a steel sample is deformed in the state near or beyond the ultimate tensile strength, an additional factor, which strongly affects the magnetic signal at the stage of unloading, manifests itself. In particular, this factor can be represented by a decrease in the α'-martensite content when elastic stresses are relieved. If this hypothesis is taken as a working hypothesis, then, according to the generally accepted classification of martensite in steels, part of the α' martensite whose content can change during unloading can be called “elastic martensite” or “high-temperature stress martensite.” The formation of the elastic martensite during the action of elastic stresses in a plastically deformed steel polycrystal can be explained using the general idea of local overstresses in certain places in a loaded sample. For example, the authors of [17] showed that the stress distribution over the cross section of a single-crystal sample is nonuniform during uniaxial tension even in a single crystal. Stresses can concentrate at dislocation pileups, radiation defects, aging products, the intersec-tion of stacking faults, and so on. The stress distribution in a polycrystal is more complex because of the effect of grain boundaries, the orientation of crystallites with respect to an applied load, and other factors. In a poly-crystalline sample, the probability of the appearance of local overstresses in the volume increases even before the application of an external load. Thus, in principle, the presence of local stresses that are equal to or exceed the critical threshold of the α'-martensite formation makes the γ α' martensite transformation possible in a certain microvolume when the applied load does not exceed the yield strength of the material. This is valid for the cases of both an elastically loaded sample (stress martensite) and a plastically deformed sample that is first unloaded and then again loaded. The higher the content of regions with local overstresses in a poly-crystal, the higher the concentration of α 'martensite RUSSIAN METALLURGY (METALLY) Vol. 2008 No. 5 α' MARTENSITE TRANSFORMATION 395 I/I0 20 1' 15 2' 10 2 1 5 0 10 20 30 40 50 δ, % Fig. 5. Change in the magnetization of (1, 2) unirradiated and (1', 2') irradiated 12Kh18N10T steel samples during tensile deformation: (1, 1') dynamic curves obtained in a loading cycle and (2, 2') static curves obtained in an unload-ing cycle. I is the magnetization related to a change in the α'-martensite content in a sample, Mf(∆l) = I(∆l)/I0, where I0 is the “zero” of the magnetic transducer. nucleation centers. The critical factors that affect the stability of α'-martensite microcrystals are the temperature in a microvolume and the level of local microstresses. In principle, a decrease in the total projection of internal stresses onto the preferred growth direction of martensite nucleation centers at a constant temperature or an increase in the temperature in a microvolume can cause not only the termination of growth but also an instability of the bcc lattice. We assume that the reverse α' γ transformation is facilitated in small α'-martensite inclusions having no clear crystallographic interface with the austenitic matrix. This state of the α' martensite is most likely to correspond to the elastic martensite. Neutron-irradiated austenite has numerous radiation defects, which can serve as natural obstacles to disloca-tion slip and can eventually lead to the formation of many nucleation centers of α'-martensite microcrys-tals. This explains the fact of the earlier (concerning strain) decrease in the magnetization of the sample and the increase in ∆I during unloading of the neutron-irra-diated 12Kh18N10T steel as compared to the unirradi-ated steel. We plotted the static curves, or the remanent magnetization Is curves, for the irradiated and initial steel samples using a set of points corresponding to the magnetizations of the samples after complete unloading at various stages of tension up to failure (Fig. 5). The arrows in Fig. 5 connect the points of the beginning and the end of unloading. It is seen that the magnetization ID and remanent magnetization Is curves plotted under the loading of the neutron-irradiated (5 1018 cm–2) steel are well above the corresponding curves of the unirradiated steel. The topologies of the curves for the irradiated and unirradiated steels are the same: the magnetizations of the deformed samples under loading 396 MAKSIMKIN, TSAI (Is – ID)/ID 4 tion in the steel deformed at 20C: (i) a decrease in the kinetic values of the relative strain and stresses for the appearance of the α' martensite in the irradiated steel to 4% and 470 MPa, respectively, as compared to 17% and 540 MPa for the unirradiated material; (ii) insignificant radiation hardening and a high retained plasticity after irradiation and, hence, a high deformationinduced martensite content in both the neck and body of the sample as compared to the unirradiated steel. A high plasticity is retained in irradiated austenitic steels over a rather narrow irradiation dose range [14] and is 1 3 2 1 likely to result from a resonance effect in the kinetics of 2 0 10 20 30 40 50 δ, % Fig. 6. Contribution of dynamic factors ID to the magnetization of the 12Kh18N10T steel during the tension of (1) unir- radiated and (2) neutron-irradiated samples. change with δ (residual strain) according to a nearexponential law. However, remanent magnetization curves 2 and 2' contain “steps,” which are likely to be caused by the end of the uniform deformation of the gage portion of the sample and by the concentration of the α'-martensite formation at the sites of a localized flow. Figure 6 shows the dependences of the dynamic contributions (Is – ID)/ID to magnetization ID on the sample strain δ under loading that are plotted using the data shown in Fig. 5. The curves of the irradiated and unirradiated steels are strongly different. The contribution of the dynamic factors to the magnetization for the initial steel can exceed ID by several times (this is clearly visible at low strains), and the contribution becomes lower than ID when the ultimate tensile strength is approached. In other words, the magnetometric data for the initial 12Kh18N10T steel give an underestimated α'-martensite content during deformation to the ultimate tensile strength because of the action of the magnetoelastic effect. The manifestation of the dynamic factors in the irradiated steel is much weaker. As a rule, their contribution does not exceed (1/2)ID and weakly depends on the degree of plastic deformation. Thus, we simultaneously recorded the load, elongation, and magnetization of the cylindrical samples of the unirradiated and neutron-irradiated (to a dose of 5 1018 cm–2) 12Kh18N10T steel during uniaxial tension and obtained the dynamic and static kinetic dependences of the ferromagnetic α'-martensite content for periodic unloading and repeated loading. Using the change in the magnetization of the deformed steel, we estimated the change in the relative α'-martensite content in the sample. With magnetometric measurements, we revealed the following specific features of the γ α' transforma- α'-martensite formation because of the complex effect of the postirradiation state of the microstructure and the deformation conditions. We found that the magnetic signal (i.e., the related α'-martensite content) depends on the state (loaded or unloaded) of the deformed steel sample. When the sample is unloaded (or repeatedly loaded), its magnetization curve has a complex shape close to a parabola with branches directed down. The magnetization curve of the unloaded steel sample can be explained by the action of the following two dynamic factors: first, a magnetoelastic effect, which increases the magnetization during unloading and, second, a possible decrease in the total α'-martensite content after unloading. The second factor, which is responsible for a decrease in the magnetization, becomes noticeable only at a stress of ~710 MPa (in the irradiated and unirradiated steels), at which the residual strain is 27.5% in the irradiated steel and 40% in the unirradiated steel. The part of the α' martensite that disappears when the elastic stresses in the sample are relieved and appears upon repeated loading is characterized as high-temperature stress martensite, or elastic martensite. Therefore, the authors of [18] concluded that the partially reversible change in the α'-martensite content induced by a change in the load can lead to a decrease in the fatigue life of the 12Kh18N10T steel due to the intense accumulation of latent energy. CONCLUSIONS (1) The dynamic factors caused by elastic structural interactions were shown to affect the results of the magnetometric measurements performed during the plastic deformation of steel samples. 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