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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">10.17073/0368-0797-2023-1-50-56</article-id><article-id custom-type="elpub" pub-id-type="custom">blackmet-2478</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>Transformation of fine structure of lamellar pearlite under deformation of rail steel</article-title><trans-title-group xml:lang="ru"><trans-title>Трансформация тонкой структуры пластинчатого перлита при деформации рельсовой стали</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5147-5343</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Громов</surname><given-names>В. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Gromov</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Виктор Евгеньевич Громов, д.ф.-м.н., профессор, заведующий кафедрой естественнонаучных дисциплин им. профессора В.М. Финкеля</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Viktor E. Gromov, Dr. Sci. (Phys.-Math.), Prof., Head of the Chair of Scien­ce named after V.M. Finkel’</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">gromov@physics.sibsiu.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/0000-0003-4908-6776</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Аксёнова</surname><given-names>К. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Aksenova</surname><given-names>K. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Крестина Владимировна Аксёнова, к.т.н., доцент кафедры естественнонаучных дисциплин им. профессора В.М. Финкеля</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Krestina V. Aksenova, Cand. Sci. (Eng.), Assist. Prof. of the Chair of Scien­ce named after V.M. Finkel’</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">19krestik91@mail.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/0000-0001-8022-7958</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванов</surname><given-names>Ю. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>Yu. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Юрий Федорович Иванов, д.ф.-м.н., профессор, главный научный сотрудник лаборатории плазменной эмиссионной электроники</p><p>Россия, 634055, Томск, пр. Академический 2/3</p></bio><bio xml:lang="en"><p>Yurii F. Ivanov, Dr. Sci. (Phys.-Math.), Prof., Chief Researcher of the Laboratory of Plasma Emission Electronics</p><p>2/3 Akademicheskii Ave., Tomsk 634055, Russian Federation</p></bio><email xlink:type="simple">yufi55@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кузнецов</surname><given-names>Р. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuznetsov</surname><given-names>R. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Роман Вадимович Кузнецов, соискатель степени к.т.н. кафед­ры естественнонаучных дисциплин им. профессора В.М. Финкеля</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Roman V. Kuznetsov, Candidates for a degree of Cand. Sci. (Eng.) of the Chair of Science named after V.M. Finkel’</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">mail@kuzmash.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5147-5343</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кормышев</surname><given-names>В. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Kormyshev</surname><given-names>V. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Василий Евгеньевич Кормышев, к.т.н., старший научный сотрудник Управления научных исследований</p><p>Россия, 654007, Кемеровская обл. – Кузбасс, Новокузнецк, ул. Кирова, 42</p></bio><bio xml:lang="en"><p>Vasilii E. Kormyshev, Cand. Sci. (Eng.), Senior Researcher of Department of Scientific Researches</p><p>42 Kirova Str., Novokuznetsk, Kemerovo Region – Kuzbass 654007, Russian Federation</p></bio><email xlink:type="simple">89236230000@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Сибирский государственный индустриальный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Siberian State Industrial University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт сильноточной электроники Сибирского отделения РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Institute of High Current Electronics, Siberian Branch of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>01</day><month>03</month><year>2023</year></pub-date><volume>66</volume><issue>1</issue><fpage>50</fpage><lpage>56</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Gromov V.E., Aksenova K.V., Ivanov Y.F., Kuznetsov R.V., Kormyshev V.E., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Громов В.Е., Аксёнова К.В., Иванов Ю.Ф., Кузнецов Р.В., Кормышев В.Е.</copyright-holder><copyright-holder xml:lang="en">Gromov V.E., Aksenova K.V., Ivanov Y.F., Kuznetsov R.V., Kormyshev V.E.</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/2478">https://fermet.misis.ru/jour/article/view/2478</self-uri><abstract><p>The defective substructure of polycrystalline bodies preconditions substructural hardening and mechanical properties. Pearlite, which is the main structural component of rails, is subjected under deformation to considerable transformation accompanied by a number of processes. In the present work, methods of the modern physical materials science were used to study and analyze the defective substructure of pearlite with lamellar morphology and properties of rail steel subjected to fracture under the conditions of uniaxial tensile strain of flat samples. It was established that the ultimate strength changes from 1247 to 1335 MPa, and the relative strain-to-fracture is from 0.69 to 0.75. The formation of three zones of the fracture surface is observed: fibrous, radial and shear zones. Their shapes and sizes have been analyzed. The deformation of rail steel is accompanied by fracture of cementite plates of pearlite colonies and re-precipitation of nanosized particles of tertiary cementite about 8.3 nm in size in the volume of ferrite plates. The main mechanisms of cementite plate fracture are cutting and dissolution. Dislocation substructure is represented by chaotic distribution of dislocations and their clusters. Scalar density of dislocations in ferrite increases from 3.2·1010 cm-2 in the initial state to 7.9·1010 cm–2 at failure. Deformation is accompanied by the formation of internal stress fields which manifest themselves as bending contours of extinction. The sources of stress fields are the interfaces of cementite and ferrite plates as well as grain interfaces. Fragmentation of ferrite and cementite plates has been revealed. The average size of cementite fragments is 9.3 nm. In the fracture zone of the rail steel sample, rotation of pearlite grains has been noted, indicating the presence of a rotational mode of strain. The electron microscopic images of cementite plates show a change in the contrast, which may be related to formation of the Cottrell atmospheres.</p></abstract><trans-abstract xml:lang="ru"><p>Дефектная субструктура поликристаллических тел обуславливает субструктурное упрочнение и механические свойства. Перлит, являющийся основной структурной составляющей рельсов, при деформационном воздействии подвергается значительному преобразованию, которое сопровождается целым рядом процессов. В настоящей работе методами современного физического материаловедения проведены исследования и анализ дефектной субструктуры перлита пластинчатой морфологии и свойств рельсовой стали, подвергнутой разрушению в условиях деформации одноосным растяжением плоских образцов. Установлено, что предел прочности изменяется от 1247 до 1335 МПа, а относительная деформация до разрушения – от 0,69 до 0,75. Наблюдается формирование трех зон поверхности разрушения: волокнистой, радиальной и зоны среза. Проанализированы их форма и размеры. Деформация рельсовой стали сопровождается разрушением пластин цементита колоний перлита и повторным выделением в объеме пластин феррита наноразмерных частиц третичного цементита размером приблизительно 8,3 нм. Основными механизмами разрушения пластин цементита являются разрезание и растворение. Дислокационная субструктура представлена хаотическим распределением дислокаций и их скоплениями. Скалярная плотность дислокаций в феррите увеличивается от 3,2·1010 см–2 в исходном состоянии до 7,9·1010 см–2 при разрушении. Деформация сопровождается формированием внутренних полей напряжений, проявляющихся в виде изгибных контуров экстинкции. Источниками полей напряжений являются границы раздела пластин цементита и феррита, а также границы зерен. Выявлена фрагментация пластин феррита и цементита. Средние размеры фрагментов цементита составляют 9,3 нм. В зоне разрушения образца рельсовой стали отмечено вращение зерен перлита, свидетельствующее о наличии ротационной моды деформации. На электронно-микроскопических изображениях пластин цементита наблюдается изменение контраста, что может быть связано с образованием атмосфер Коттрелла.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>тонкая структура</kwd><kwd>перлит</kwd><kwd>деформация</kwd><kwd>эволюция</kwd><kwd>цементит</kwd><kwd>фрагментация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>fine structure</kwd><kwd>perlite</kwd><kwd>strain by uniaxial tension</kwd><kwd>evolution</kwd><kwd>cementite</kwd><kwd>fragmentation</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена при поддержке Российского фонда фундаментальных исследований (грант № 19-32-60001) и стипендии Президента Российской Федерации для молодых ученых и аспирантов, осуществляющих перспективные научные исследования и разработки по приоритетным направлениям модернизации российской экономики (проект СП-4517.2021.1).  	Выражаем благодарность Е.А. Полевому за предоставленные образцы рельсовой стали и Н.А. Поповой за помощь в обсуждении результатов эксперимента.</funding-statement><funding-statement xml:lang="en">The work was supported by a grant of the Russian Foundation for Fundamental Research (project No. 19-32-60001) and the scholarship of the President of the Russian Federation for young scientists and postgraduate students carrying out promising scientific research and developments in priority areas of modernization of the Russian economy (project SP-4517.2021.1).  	The authors express their gratitude to E.A. Polevoi for providing the samples of rail steel and N.A. Popova for participation in discussion of the experimental results.</funding-statement></funding-group></article-meta></front><body><p>Introduction</p><p>One of the basic and most general types of strengthening of polycrystalline bodies is substructural, caused by the defective substructure. This largely determines the mechanical properties of materials. The nucleation and development of microcracks in plastic materials are closely related to the substructure evolution [1, 2]. </p><p>Significant increase in the intensity of railway traffic and traffic concentration requires high operational durability of rails made of pearlitic steel. During operation, rails are subjected to significant strain effects, accompanied by evolution of the structural-phase state of pearlite [3, 4]. Importance of the information in this field is determined by the depth of understanding the fundamental issues of the physical materials science, on the one hand, and the practical importance, on the other hand. The practical importance is connected with the creation of high-quality rails with high performance properties, ensuring accident-free operation with a passing tonnage of more than 2 billion tons (gross). Creation of special types of rails for high-speed railways, low-temperature reliability, and increased contact-fatigue endurance requires a study of the dependence of hardening on the structural state of rails before strain and establishing cause-effect relations between the phenomena that determine the strain behavior [3, 4].</p><p>In the initial state, rails contain about 70 % of pearlite of lamellar morphology [5 – 7], the deformation of which is accompanied by a complex transformation of ferrite and cementite [8, 9] usually observed by transmission electron microscopy. Main attention is paid to the strain-induced fracture of cementite [10 – 12] which leads to an increase in the carbon concentration in ferrite and an additional hardening mechanism [<xref ref-type="bibr" rid="cit13">13</xref>].</p><p>The purpose of the present work was to analyze the defective substructure of pearlite of rail steel lamellar morphology, fractured under the conditions of uniaxial tensile strain of flat samples.</p><p> </p><p>Research materials and methods</p><p>Samples of rail steel, the properties and elementary composition of which are regulated by GOST R 51685–2013, were used as the research material. The chemical composition of rails of DT350 category, % (wt.) was as follows: C 0.73; Mn 0.75; Si 0.58; P 0.012; S 0.007; Cr 0.42; Ni 0.07; Cu 0.13; Ti 0.003; Mo 0.006; V 0.04; Al 0.003; Ti 0.008; and the rest was iron.</p><p>Mechanical tests were performed by uniaxial tensioning of flat proportional samples in the form of double-sided blades with the dimensions of the working area of the blades of 1.5×4.45×8.0 mm. Samples were cut from the head of 100-meter differentially hardened rails of DT350 category produced by JSC “EVRAZ – Joint West Siberian Metallurgical Plant”. Uniaxial tensile strain was applied on an Instron 3369 testing machine at a loading rate of 1.2 mm/min. </p><p>The structure of the fracture surface was studied by scanning electron microscopy (SEM 515 Philips device). The steel deformed substructure in the fracture zone was studied by transmission electron diffraction microscopy (thin-foil method) (JEM-2100 JEOL device) [14 – 16]. Foil for the transmission electron microscope was made by ion thinning (Ion Slicer EM-091001S installation, thinning achieved by argon ions) of plates cut from fractured samples on the Isomet Low Speed Saw installation perpendicular to the fracture surface. The methods for measuring the scalar and excess dislocation densities did not differ from those described in [3, 4].</p><p> </p><p>Results and discussion</p><p>The tests showed that tensile strength varied in the range from 1247 to 1335 MPa, and strain of the samples at failure ranged from 0.69 to 0.75. As a rule, under tensile strain of the samples three zones are formed on the fracture surface: a fibrous zone (central part of the specimen); the radial zone following it; and the shear zone along the edge of the sample [<xref ref-type="bibr" rid="cit17">17</xref>]. The fibrous zone is elliptical in shape with a large axis parallel to the long sides of the rectangle. The radial zone of the samples, whose width is much greater than their thickness, has a chevron or herringbone shape. Chevron patterns are often associated with unstable, relatively rapid crack propagation. The appearance of a chevron pattern is caused by the mismatch between the general direction of crack propagation and the shortest direction from the crack front to the free surface. In this case, radial scars propagate towards the free surface, forming chevron patterns [<xref ref-type="bibr" rid="cit17">17</xref>]. The vertices of V-shaped chevrons are directed away from the fracture center. </p><p>Previously, it was shown in [2 – 4, 18] that the following components are distinguished in the structure of the steel studied according to the morphological feature: pearlite grains of lamellar morphology, grains of ferrite-carbide mixture (irregular pearlite grains) and grains of structurally free ferrite (ferrite grains with no carbide phase particles in their volume). The main type of structure of the steel under study is lamellar pearlite grains, the relative content of which in the material is 0.7. The relative content of ferrite-carbide mixture grains is 0.27; and the rest are grains of structurally free ferrite.</p><p>As a rule, the structure of lamellar pearlite is represented by alternating ferrite plates (solid solution based on iron crystal body-centered lattice) and cementite plates (iron carbide of Fe3C composition, orthorhombic crystal lattice) [<xref ref-type="bibr" rid="cit19">19</xref>]. Fracture of steel under uniaxial tension conditions in flat samples does not change the morphology of the material. In the fracture zone and away from it, grains with a lamellar structure characteristic of pearlite are present. Change in the steel structure is detected at the level of the defective subsystem and is accompanied by multiple pearlite transformation.</p><p>When considering the transformation of the ferrite plate structure, it was found that ferrite plates of pearlite colonies fragment, i.e., they split into the regions separated by low-angle boundaries. Deformation is accompanied by the formation of a dislocation substructure in the volume of ferrite plates (Fig. 1). Dislocations are distributed chaotically or form clusters. The scalar density of dislocations is 7.9·1010 cm–2, 3.2·1010 cm–2 in the initial state.</p><p> </p><p> </p><p>Deformation of steel is accompanied by the formation of stress fields in the sample. When the material is studied by electron microscopy of thin foils, the internal stress fields appear as bending contours of extinction, located mainly in ferrite plates. The sources of stress fields in the surveyed steel are the interfaces of cementite and ferrite plates (Fig. 2), as well as grain interfaces. It should be noted that the tensile stress of the steel studied is accompanied by pearlite grain rotation, which is most pronounced in the fracture zone of the samples (Fig. 2). The latter suggests the presence of a rotational mode of strain in the fracture zone of the specimen [20 – 22], associated with the formation of local lattice curvature. In this connection, it can be assumed that the development of a similar effect in rail steel makes it easier to move the carbon atoms.</p><p> </p><p> </p><p>Deformation of the steel under study is accompanied by the fracture of cementite plates. Two possible mechanisms of cementite plates fracture are discussed in the scientific literature: cutting and dissolution [2, 3, 13]. Dissolution of cementite plates occurs due to greater binding energy of dislocations with carbon atoms (~0.6 – 0.7 eV) compared to the binding energy of carbon atoms in the cementite lattice [23 – 25]. According to the results of [<xref ref-type="bibr" rid="cit26">26</xref>], an increase in free energy caused by geometric thinning of cementite plates and the formation of slip bands destabilizes the cementite and ensures its fracture. A similar thermodynamic model based on the Gibbs–Thomson effect and the diffusion controlled process of dissolution is proposed in [<xref ref-type="bibr" rid="cit27">27</xref>]. Carbon atoms are carried out by moving dislocations into the volume of ferrite plates with the subsequent formation of nanosized particles of iron carbide (Fig. 3). The average size of the particles located in the ferrite plates is 8.3 nm. Particles of this size are most clearly detected by dark-field analysis (Fig. 3, b).</p><p> </p><p> </p><p>Dissolution of cementite is accompanied by the formation of a region of material around the plates which differs from the main grain volume in contrast (Fig. 4, a). It can be assumed that the change in the contrast is caused by a change in the chemical composition of the material surrounding the cementite plate, namely, an increased concentration of carbon. The carbon atoms pulled out of the cementite by dislocations are capable of forming Cottrell atmospheres, leading to a change in contrast.</p><p>Along with dissolution, the plastic yield of steel is accompanied by fragmentation of cementite plates. It was found that in the fracture zone of samples the cementite plates, while retaining their original morphology, break into regions of coherent dispersion, the average size of which is 9.3 nm (Fig. 5).</p><p> </p><p> </p><p>Conclusion</p><p>The methods of the modern physical materials science were used to study the mechanical properties, defective substructure of pearlite with lamellar morphology, and fracture surface of rail steel subjected to fracture under the conditions of uniaxial tensile stress. It was also established that the ultimate tensile strength varies from 1247 to 1335 MPa. The fracture strain of the samples ranges from 0.69 to 0.75. The formation of three zones of the fracture surface has been detected: fibrous, radial and shear zones. It has been demonstrated that the steel strain is accompanied by fragmentation of ferrite plates with low-angle boundaries and a significant increase in the scalar dislocation density to 7.9·1010 cm–2 (the scalar dislocation density of the initial steel is 3.2·1010 cm–2). The fracture of cementite plates by cutting and dissolution mechanisms was established with subsequent removal of carbon by moving dislocations to the ferrite plates volume with the formation of nanosized (8.3 nm) round-shaped tertiary cementite particles in them. Thermodynamic models of cementite fracture are discussed. It was shown that the dissolution of cementite plates is accompanied by their fragmentation (division into coherent diffusion regions with the average size of 9.3 nm).</p></body><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Конева Н.А., Тришкина Л.И., Козлов Э.В. Физика субструктурного и зернограничного упрочнения. 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