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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">blackmet</journal-id><journal-title-group><journal-title xml:lang="en">Izvestiya. Ferrous Metallurgy</journal-title><trans-title-group xml:lang="ru"><trans-title>Известия высших учебных заведений. Черная Металлургия</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">0368-0797</issn><issn pub-type="epub">2410-2091</issn><publisher><publisher-name>National University of Science and Technology "MISIS"</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/0368-0797-2022-12-879-886</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2453</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATERIAL SCIENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>МАТЕРИАЛОВЕДЕНИЕ</subject></subj-group></article-categories><title-group><article-title>Strain and fracture of Cr – Mn – C – N steel in cast state</article-title><trans-title-group xml:lang="ru"><trans-title>Деформация и разрушение Cr – Mn – C – N стали в литом состоянии</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2195-4906</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дерюгин</surname><given-names>Е. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Deryugin</surname><given-names>E. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Евгений Евгеньевич Дерюгин, д.ф.-м.н., профессор, ведущий научный сотрудник</p><p>Россия, 634055, Томск, пр. Академичес­кий, 2/4</p></bio><bio xml:lang="en"><p>Evgenii E. Deryugin, Dr. Sci. (Phys.–Math.), Prof., Leading Researcher</p><p>2/4 Akademiches­kii Ave., Tomsk 634055, Russian Federation</p></bio><email xlink:type="simple">dee@ispms.tsc.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5179-1955</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Наркевич</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Narkevich</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Наталья Аркадьевна Наркевич, к.т.н., доцент, старший научный сотрудник</p><p>Россия, 634055, Томск, пр. Академичес­кий, 2/4</p></bio><bio xml:lang="en"><p>Natal’ya A. Narkevich, Cand. Sci. (Eng.), Assist. Prof., Senior Researcher</p><p>2/4 Akademiches­kii Ave., Tomsk 634055, Russian Federation</p></bio><email xlink:type="simple">natnark@list.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0880-2898</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гоморова</surname><given-names>Ю. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Gomorova</surname><given-names>Yu. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юлия Федоровна Гоморова, к.т.н., научный сотрудник</p><p>Россия, 634055, Томск, пр. Академичес­кий, 2/4</p></bio><bio xml:lang="en"><p>Yulia F. Gomorova, Cand. Sci. (Eng.), Research Associate</p><p>2/4 Akademiches­kii Ave., Tomsk 634055, Russian Federation</p></bio><email xlink:type="simple">gomjf@ispms.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт физики прочности и материаловедения Сибирского отделения РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of Strength Physics and Materials Science, Siberian Branch of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2022</year></pub-date><pub-date pub-type="epub"><day>31</day><month>12</month><year>2022</year></pub-date><volume>65</volume><issue>12</issue><fpage>879</fpage><lpage>886</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Deryugin E.E., Narkevich N.A., Gomorova Y.F., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Дерюгин Е.Е., Наркевич Н.А., Гоморова Ю.Ф.</copyright-holder><copyright-holder xml:lang="en">Deryugin E.E., Narkevich N.A., Gomorova Y.F.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://fermet.misis.ru/jour/article/view/2453">https://fermet.misis.ru/jour/article/view/2453</self-uri><abstract><p>The paper studies the influence of boundary conditions and the loading rate on the strain behavior and fracture of Cr – Mn – C – N austenitic steel in the cast state without additional heat treatment. Regularities of steel strain and fracture were analyzed on the basis of three-point bending test data of square-section samples with and without a notch, placed with a rib on supports. In addition to the initial stage of the steel elastic strain, this unconventional arrangement of the sample on supports enabled the detection of two more stages of strain development under the effect of an external applied force: the stage of nonlinear strain and the stage of discontinuous strain preceding the moment of sample failure. As the loading rate increases, it was demonstrated that the fracture resistance and the extent of the nonlinear strain stage of the sample with a notch decreases, and the extent of the discontinuous strain stage increases. The sample without a notch has a prolonged nonlinear strain stage and exhibits maximum strength in the absence of the discontinuous stage. The end of the nonlinear strain stage corresponds to the moment of sample failure. A characteristic property of cast steel under the given loading conditions is that the fracture of the sample is brittle, despite the prolonged stage of non-linear strain. Structural metallographic and diffractometric studies have shown that in all tests the steel fracture is brittle with-out traces of plastic yield. The nonlinear strain stage of steel is determined not by dislocation plastic yield, but by the mechanism of γ → αʹ transformation in austenitic interlayers between nitride and carbide particles under the effect of an external applied force. The discontinuous strain stage of steel is associated with the process of stable crack propagation across the sample.</p></abstract><trans-abstract xml:lang="ru"><p>Исследовано влияние граничных условий и скорости нагружения на деформационное поведение и разрушение стали на основе Cr – Mn – С – N аустенита в литом состоянии без дополнительной термической обработки. Закономерности деформации и разрушения стали проанализированы на основе данных испытаний на трехточечный изгиб образцов квадратного сечения с надрезом и без надреза, положенных ребром на опоры. Такое нетрадиционное расположение образца на опорах позволило обнаружить помимо начальной стадии упругой деформации стали еще две стадии развития деформации под действием внешней приложенной силы: стадию нелинейной деформации и стадию прерывистой деформации, предшествующей моменту разрушения образца. Показано, что с увеличением скорости нагружения сопротивление разрушению и протяженность стадии нелинейной деформации образца с надрезом увеличивается, а протяженность стадии прерывистой деформации уменьшается. Образец без надреза имеет продолжительную стадию нелинейной деформации и проявляет максимальную прочность при отсутствии стадии прерывистого течения. Завершение стадии нелинейной деформации соответствует моменту разрушения образца. Характерным свойством литой стали при заданных условиях нагружения является то, что разрушение образца совершается хрупко, несмотря на продолжительную стадию нелинейной деформации. Структурные металлографические и дифрактометрические исследования показали, что во всех испытаниях разрушение стали происходит хрупко без следов пластической деформации. Стадия нелинейной деформации стали определяется не дислокационной пластической деформацией, а механизмом γ → αʹ-превращения в аустенитных прослойках между нитридными и карбидными частицами под действием внешней приложенной силы. Стадия прерывистой деформации стали связана с процессом стабильного распространения трещины по поперечному сечению образца.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>литая Cr – Mn – C – N сталь</kwd><kwd>дендритная структура</kwd><kwd>прерывистый распад</kwd><kwd>нитриды</kwd><kwd>испытания на изгиб</kwd><kwd>разрушение</kwd></kwd-group><kwd-group xml:lang="en"><kwd>cast Cr – Mn – C – N steel</kwd><kwd>dendritic structure</kwd><kwd>discontinuous decay</kwd><kwd>nitrides</kwd><kwd>bending test</kwd><kwd>fracture</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена в рамках государственного задания ИФПМ Сибирского отдедения РАН (тема FWRW-2021-0009), а также при поддержке Российского научного фонда, грант № 22-29-00438.</funding-statement><funding-statement xml:lang="en">The work was performed within the framework of the state task of the Institute of Strength Physics and Materials Science, Siberian Branch of the Russian Academy of Sciences, project FWRW-2021-0009 and supported by the Russian Science Foundation, grant RSF 22-29-00438.</funding-statement></funding-group></article-meta></front><body><p>Introduction</p><p>Austenitic chromium-manganese steels with a high content of interstitial (C + N) elements possess high strain hardening [1 – 3], corrosion resistance [4, 5], and endurance under alternating loads [3, 6]. The presence of carbon in their composition not only simplifies melting (since it eliminates the need for oxygen blowing for carbon oxidation or the use of high-purity carbon-free charge components), but also improves strength properties. Works [7, 8] noted that nitrogen not only increases the strength, but, like manganese, increases the fluidity of steels, making them more technologically advanced than cast chromium-nickel steels.</p><p>Currently studies are being performed which are aimed at developing a method of making wear-resistant coatings from the steels under study [9 – 11], as well as composite coatings, in which Cr – Mn – C – N austenite is used as a matrix [12, 13].</p><p>Works [5, 7, 8] show that Cr – Mn – C – N steels have high strength properties, ductility and cold resistance, if nitrogen and carbon are dissolved in austenite. This is ensured by quenching from 1150 to 1200 °C in water and/or by strain hardening during cold strain, including frictional loads. Oil and natural gas production, storage and transportation systems require high-strength corrosion-resistant steels. Parts of complex shape can be made from these by casting only [<xref ref-type="bibr" rid="cit8">8</xref>]. The Cr – Mn – C – N steels can be used as an alternative to expensive chromium-nickel steels. However, when slowly cooled from the liquid state or during isothermal aging in the temperature range from 400 to 950 ºC, the austenite in them decays with the formation of Me2N and Me23C6 particles (where Me is metal) [5, 9]. Despite the fact that Cr2N particles have a HCP (hexagonal closely packed) lattice and possess high hardness (according to different data from 15.7 [<xref ref-type="bibr" rid="cit14">14</xref>] to 29.5 GPa [<xref ref-type="bibr" rid="cit15">15</xref>]), aging has no positive effect on the strength properties of steels and reduces their ductility [<xref ref-type="bibr" rid="cit16">16</xref>]. The composite structure1 formed from interlaced strong dendritic axes and ductile interaxial sites provides high impact toughness of Cr8Mn28N cast steel.</p><p>The strain behaviour and fracture features of Cr – Mn – C – N steel in the cast state, containing nitrides, carbonitrides and chromium carbides, as well as its crack resistance have not been studied.</p><p>The purpose of the present work is to study the influence of boundary conditions and the loading rate on the strain behavior and fracture resistance of cast Cr – Mn – C – N austenitic steel without additional heat treatment.</p><p> </p><p>Material and research methods</p><p>Steel was melted under equilibrium conditions in a 50 kg induction furnace with a chromium-magnesite lining. Scrap metal, medium-carbon ferrochrome, ferromanganese and nitrogenous ferrochrome were used as a charge. Steel from the furnace was poured first into a ladle and then into five sand moulds. The sinkhead with a shrink hole was removed from the ingots obtained. The ingots of Cr – Mn – C – N steel under study did not contain gas holes. The chemical composition of the steel is given as follows, % (wt.): 24.40 Cr; 16.40 Mn; 1.10 Si; 0.18 Ni; 0.57 C; 0.70 N; 0.017 S; and the rest is Fe.</p><p>The structure was studied on an Axiovert 25 optical microscope (Zeiss, Germany) after etching in the C2H5OH, HCl and HNO3 solution in the volume parts ratio of 3:2:1. The phase analysis was performed by X-ray diffractometry on XRD-7000 (Shimadzu, Japan) in CoKα radiation. The structure of the fracture surface was studied on a scanning electron microscope (SEM) Tescan MIRA 3 LMU.</p><p>The strain behaviour of steel was studied under three-point bending of samples at room temperature on Instron 5582 testing machine (Instron, US) at vertical displacement rates of the crossarm of 0.30 and 0.01 mm/min according to the sample layouts on supports shown in Fig. 1. At least three samples of each material were tested.</p><p> </p><p> </p><p>Results and discussion</p><p>The steel under study has a high content of austenite-promoting elements. After quenching from 1100 °C this assured its position in the Schaeffler diagram [<xref ref-type="bibr" rid="cit17">17</xref>] in the austenitic region (Fig. 2, point 1). After casting into sand moulds the steel has dendritic structure (Fig. 3, a), in which, at high magnification, platy nitrides of Cr2N can be observed. This corresponds to the equilibrium phase diagram for steel of similar composition, built on the basis of thermodynamic calculations [<xref ref-type="bibr" rid="cit5">5</xref>].</p><p> </p><p> </p><p>Large (about 5 µm) individual chromium carbide particles present in the diagram [<xref ref-type="bibr" rid="cit5">5</xref>] are differentiated well, around which intermittent decay of austenite is not observed in the chromium-depleted zones. The depletion of austenite with chromium, nitrogen and carbon reduces Nieq and Creq (Nieq = Ni + 25N + 0.5Mn + 0.3Cu + 30C; Creq = Cr + 2Si + 1.5Mo + 5V +1.75Nb +1.5Ti) and changes the steel position in the diagram without changing the phase (Fig. 2, point 2).</p><p>The diffraction pattern (Fig. 3, b) shows reflections from the austenite planes. Reflections from particles are not detected in the diffraction pattern because of a very “noisy” background due to the dendritic structure.</p><p>Samples with the 5×5 mm cross-section with a shallow notch (0.5 mm deep, 0.3 mm wide) were loaded by the three-point bending method. In experiments with three-point bending, the beam is placed with a side on two supports, and force is applied to the center of the beam (Fig. 1, a) [18, 19]. In the present work, the beam was placed not with a side, but with a rib on supports (Fig. 1, b). It was assumed that such an arrangement would prolong the stage of plastic yield and stable crack propagation.</p><p>Fig. 4 shows typical force P – bending λ diagrams of samples with the 5×5 mm cross-section, 50 mm long, when the distance between the supports L is 47 mm. Curve 1 refers to testing of a sample without a notch with slow loading rate of v = 0.01 mm/min. Steel fracture occurs at high external applied force (at P = 2355 ± 15 N). Two stages (stages I and II of elastic and nonlinear strain) are observed in diagram 1. The nonlinear strain stage accounts for at least 60 % of the total strain of the sample. The beginning of the nonlinear strain stage is fixed at the external applied load of P1 = 900 ± 6 N. The end of the nonlinear strain stage corresponds to the moment of sample failure. Thus, a characteristic property of cast steel under the given loading conditions is that the fracture of the sample is brittle, despite the prolonged stage of nonlinear strain.</p><p> </p><p> </p><p>Curve 2 is an example of strain of the sample with a notch in the center of the rib. The notch significantly reduces the strength of the sample and decreases the nonlinear strain stage, which in this case does not exceed 11 % of the sample total strain. The deviation from the elastic strain stage is fixed at a lower value of force (P1 = 813 N). In addition, from the moment the maximum load of Pmax = 1360 N is reached, there is no fracture of the sample and stage III is observed, at which relaxation of the external applied force up to 1220 N occurs in an intermittent manner. The irregular nature of external load relaxation testifies to the process of slip-stick propagation of the main crack across the sample. Fig. 5 shows the moment of the main crack development from the notch registered at stage III of the sample strain.</p><p> </p><p> </p><p>The effect of the loading rate on strain of the samples with a notch is shown in Fig. 6. Curve 1 corresponds to the rate of v = 0.3 mm/min and curve 2 corresponds to the rate of v = 0.01 mm/min. The comparison shows that the qualitative appearance of the diagrams does not change in this case. In both cases, three stages of strain (elastic, nonlinear and discontinuous strain) can be observed. However, as the loading rate increases, the strength of the material increases significantly.</p><p> </p><p> </p><p>With a low (v = 0.01 mm/min) strain rate of the sample, the maximum load is 1360 N, while with v = 0.3 mm/min it reaches a level of 1567 N. The transition to the nonlinear strain stage is almost independent of the loading rate of the sample and is fixed at a level of P1 = 800 ± 10 N.</p><p>An increase in the loading rate is accompanied by an increase in the stage of discontinuous strain associated with the relaxation of the external applied force. In the case of high (v = 0.3 mm/min) loading rate (Fig. 5, curve 2) there is even a decrease in force by the value of ΔP = 138 N.</p><p>Curve 3 in Fig. 6 corresponds to the strain at a rate of v = 0.01 mm/min of a sample with a chevron notch, placed on supports not with a rib but with a side. The sample has the lowest mechanical indicators (Pmax = 891 N; P1 = 670 N; ΔP = 15 N; nonlinear strain less than 1 %).</p><p>The analysis of fracture surfaces of Cr – Mn – C – N steel showed that the fracture character of all samples was brittle with morphological features in the form of foliation (Fig. 7, a) due to the steel structure with platy dispersed particles of Cr2N (Fig. 3, a). Nitrides Cr2N decompose in the process of loading, provoking failure of the sample as a whole. In this regard, there is qualitative similarity between the metallographic image of the structure (Fig. 3, a) and the fracture surface of the steel in question (Fig. 7, a). This still allows for the possibility that an insignificant fraction of nonlinear strain of the sample is due to plastic yield of austenite. On the diffraction pattern obtained from the fracture surface, in addition to reflections from the austenite planes, there is a reflection from plane (110) of αʹ-martensite with BCC lattice (Fig. 7, b).</p><p> </p><p> </p><p>The change in the phase composition during three-point bending tests can be estimated from temperature Md30 [<xref ref-type="bibr" rid="cit20">20</xref>], at which the structure consists of 50 % γ-phase and 50 % α’-martensite after 30 % strain. Since only a part of the (C + N) content remains in solid solution when the casting is cooled, and the rest is in bound form in chromium nitrides and carbides (Fig. 2, point 2). The calculated Md30 temperature of steel in the quenched state and austenite in the aged state increases to –18 °C. The strain of steel at room temperature initiates the γ → αʹ-transformation in austenitic interlayers between the nitride and carbide particles (Fig. 7, b). The strain process is also evidenced by an increase in the half-widths of the diffraction maxima in the diffraction pattern obtained from the steel fracture, when compared to the diffraction pattern obtained from the original cast steel structure (Fig. 3, b; Fig. 5, b). Respectively, the bulk of the nonlinear strain of steel is provided not by the plastic yield of the austenite, but by γ → αʹ-transformation under the effect of an external applied force.</p><p>In order to stimulate the TRIP effect, a sufficiently high local stress σTRIP is required. By definition this is less than the stress of the onset of local fracture of material σTRIP . Nonlinear strain from the TRIP effect depends on the efficiency of the stress concentrator. In the sample with a chevron notch placed on supports with a side, high stress concentration occurs in small vicinity of the chevron under the effect of an external force. Therefore, the contribution of γ → αʹ-transformation to the inelastic strain by the time the sample fails will be minimum (Fig. 6, curve 3).</p><p>In contrast, a wide region of increased stresses is observed when the sample without a notch is loaded, placed with a rib on supports. Reaching the σTRIP value in the wide region is only possible if the external applied stress is high enough. During the loading process, a quite large volume of material will be covered by the γ → αʹ-transformation before fracture begins. The onset of fracture will correspond to the maximum external applied force Pmax and the contribution of γ → αʹ-transformation to the inelastic strain of the sample will also be maximum.</p><p>The γ → αʹ-transformation process is always accompanied by stress relaxation. Therefore, slow loading will involve a larger volume of the sample in the phase transformation compared to fast loading. This explains the quantitative and qualitative difference between loading diagrams 1 and 2 (Fig. 6).</p><p>Material fracture at the final stage of loading is determined by the rate of release of elastic energy during crack propagation. The more the elastic energy accumulated in the sample volume, the lower the probability of stable crack propagation at the prefracture stage. Respectively, the higher the maximum of applied force Pmax by the end of the nonlinear strain stage, the greater the crack length in the sample section, and therefore the longer the development of stage III of strain. The value of Pmax = 2355 N when testing the sample without a concentrator with the loading rate of 0.01 mm/min is so high that the sample fails spontaneously (Fig. 4, diagram 1).</p><p> </p><p>Conclusion</p><p>The paper studies the strain and fracture behavior of austenitic Cr – Mn – C – N steel in the cast state on the basis of three-point bending test data of square-section samples, placed with a rib on supports. Such arrangement of the sample on supports revealed new regularities that cannot be detected under standard test conditions when the sample is placed with a side on supports.</p><p>The study clearly revealed three stages of steel strain under the effect of an external applied force (stage I of elastic strain, stage II of nonlinear strain and stage III of discontinuous strain preceding the moment of sample failure).</p><p>It was demonstrated that as the loading rate increases, the fracture resistance and the extent of the nonlinear strain stage of the sample with a notch increases, and the extent of the discontinuous strain stage decreases.</p><p>The sample without a notch exhibits maximum strength in the absence of the discontinuous strain stage.</p><p>The studies showed that the discontinuous character of the loading diagram is associated with the process of steady crack propagation across the sample. In all cases, the steel fracture is brittle without traces of plastic yield. The analysis of the results obtained shows that the nonlinear strain stage of steel is determined not by dislocation plastic yield, but by the mechanism of γ → αʹ transformation in austenitic interlayers between nitride and carbide particles under the effect of an external applied force.</p><p> </p></body><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Berns H., Gavriljuk V., Riedner S., Tyshchenko A. High strength stainless austenitic CrMnCN stees. Part I: Alloy design and properties // Steel Research International. 2007. Vol. 78. No. 9. P. 714–719. https://doi.org/10.1002/srin.200706274</mixed-citation><mixed-citation xml:lang="en">Berns H., Gavriljuk V., Riedner S., Tyshchenko A. High strength stainless austenitic CrMnCN stees. Part I: Alloy design and properties. 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