<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">zldm</journal-id><journal-title-group><journal-title xml:lang="ru">Заводская лаборатория. Диагностика материалов</journal-title><trans-title-group xml:lang="en"><trans-title>Industrial laboratory. Diagnostics of materials</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1028-6861</issn><issn pub-type="epub">2588-0187</issn><publisher><publisher-name>ООО «Издательство «ТЕСТ-ЗЛ»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.26896/1028-6861-2019-85-6-47-52</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-1007</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="ru"><subject>МЕХАНИКА МАТЕРИАЛА: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATERIALS MECHANICS: STRENGTH, DURABILITY, SAFETY</subject></subj-group></article-categories><title-group><article-title>АНАЛИЗ КИНЕТИКИ И НАПРАВЛЕННОСТИ УПРУГОПЛАСТИЧЕСКОГО ДЕФОРМИРОВАНИЯ И РАЗРУШЕНИЯ</article-title><trans-title-group xml:lang="en"><trans-title>ANALYSIS OF THE KINETICS AND DIRECTIONALITY OF ELASTOPLASTIC DEFORMATION AND FRACTURE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Махутов</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Makhutov</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"/><bio xml:lang="en"><p>ul. Bardina, 4, Moscow, 119334</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Макаренко</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Makarenko</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>119334, Москва, ул. Бардина, д. 4</p></bio><bio xml:lang="en"><p>ul. Bardina, 4, Moscow, 119334</p></bio><email xlink:type="simple">I.VMakarenko@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Макаренко</surname><given-names>Л. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Makarenko</surname><given-names>L. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>119334, Москва, ул. Бардина, д. 4</p></bio><bio xml:lang="en"><p>ul. Bardina, 4, Moscow, 119334</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт машиноведения им. А. А. Благонравова РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Blagonravov Mechanical Engineering Research Institute, Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>10</day><month>07</month><year>2019</year></pub-date><volume>85</volume><issue>6</issue><fpage>47</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Махутов Н.А., Макаренко И.В., Макаренко Л.В., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Махутов Н.А., Макаренко И.В., Макаренко Л.В.</copyright-holder><copyright-holder xml:lang="en">Makhutov N.A., Makarenko I.V., Makarenko L.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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://www.zldm.ru/jour/article/view/1007">https://www.zldm.ru/jour/article/view/1007</self-uri><abstract><p>Безопасность и живучесть оборудования регламентируются прочностными характеристиками его отдельных узлов и элементов, в которых могут быть начальные или эксплуатационные дефекты типа поверхностных разноориентированных полуэллиптических трещин. Численные методы расчета позволяют получить больший объем информации о напряженно-деформированном состоянии (НДС) этих элементов по заданным алгоритмам расчета соответствующих моделей разрушения. Изменение вида НДС вблизи контура трещин при переходе от более глубоких точек к поверхностным зависит от стеснения деформаций вдоль их фронта, т.е. от объемности НДС. На основе экспериментальных результатов и численных решений проведена диагностика формоизменения дефектов типа поверхностных разнонаправленных полуэллиптических малоцикловых трещин. Данные конечноэлементного моделирования реализованы на основе макросов программного комплекса ANSYS. Исследована закономерность направленности развития упругопластического разрушения при малоцикловом нагружении. Изложенная методология подтверждена параметрическими уравнениями кинетики формоизменения исследуемых трещин при фрактографическом анализе поверхностей их развития. По результатам испытания образцов с полуэллиптическими трещинами при малоцикловом нагружении приведен анализ параметров морфологии поверхностей развившихся дефектов. Представлены результаты измерений полей интенсивностей упругопластических деформаций в вершине трещины и геометрических характеристик развития поверхностей разрушения. Анализ динамики локального напряженно-деформированного состояния вблизи контура разноориентированных дефектов в деталях и конструкциях оборудования показал хорошее соответствие между экспериментальными параметрами геометрии форм развивающихся трещин и характеристиками, полученными численными методами решения. Представленные параметрические уравнения уточняют характеристики нелинейной механики разрушения, позволяющие оценивать и прогнозировать живучесть и безопасность работоспособности ответственного оборудования. На основе деформационных критериев нелинейной механики разрушения показана зависимость развития разрушения от объемности напряженно-деформированного состояния, указывающая на направленность геометрического развития формы поверхности разрушения.</p></abstract><trans-abstract xml:lang="en"><p>Safety, survivability, and serviceability of the equipment are governed by the strength characteristics of the separate units and elements which can contain initial or operational defects such as superficial differently oriented semi-elliptical cracks. Numerical methods of calculation provide a large bulk of information about the stress-strain state (SSS) of those elements proceeding from the given algorithms for calculating the corresponding fracture models. Change in the type of the SSS near the crack contour when going from the bulk to the surface depends on the constraint of deformations along their front, i.e., on the 3D character of the SSS. Diagnostics of the form change of the defects (surface differently oriented semi-elliptic low-cycle cracks) is carried out on the basis of experimental results and numerical solutions. The data of the finite element modeling are implemented on the basis of macros of the ANSYS program complex. The regularity of the directionality of developing the elastoplastic fracture under low-cycle loading is studied. The proposed methodology is proved by the parametric equations of the kinetics of forming changes of the cracks under study in the fractographic analysis of the surfaces of their development. The results of testing samples with semi-elliptic cracks under low-cycle loading are used in analysis of the parameters of the morphology of the surfaces of the developed defects. The results of measuring fields of elastoplastic deformation intensity in the crack tip and geometrical characteristics of the fracture surface development are presented. Analysis of the dynamics of the local stress-strain state near the contour of multi-oriented defects in parts and structural units of the equipment showed a good agreement between the experimental parameters of the geometry of developing cracks and characteristics obtained by numerical methods. The presented parametric equations specify the characteristics of nonlinear fracture mechanics thus providing reliable estimation and forecasting of survivability, and safety of serviceability of the critical equipment. The deformation criteria of nonlinear fracture mechanics are used to demonstrate the dependence of fracture development on the 3D character of the stress-strain state indicating to the directionality of the geometric development of the fracture surface form.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>поверхностные наклонные полуэллиптические трещины</kwd><kwd>упругопластические деформации и напряжения</kwd><kwd>малоцикловое разрушение</kwd><kwd>объемность напряженно-деформированного состояния</kwd></kwd-group><kwd-group xml:lang="en"><kwd>surface inclined semi-elliptical cracks</kwd><kwd>elastic-plastic deformations and stresses</kwd><kwd>low-cycle fracture</kwd><kwd>3D character of the stress-strain state</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А. Деформационные критерии разрушения и расчет конструкций на прочность. — М.: Машиностроение, 1981. — 273 с.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A. Deformation Fracture Criteria and Strength Calculations of Structural Elements. — Moscow: Mashinostroenie, 1981. — 273 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А. Конструкционная прочность, ресурс и техногенная безопасность. В 2-х ч. — Новосибирск: Наука, 2005. — 1110 с.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A. Structural Integrity, Service Life, and Environmental Safety. in 2 parts. — Novosibirsk: Nauka, 2005. — 1110 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А., Макаренко И. В. Методика исследования кинетики полуэллиптических поверхностных наклонных трещин при малоцикловом нагружении / Заводская лаборатория. 1984. Т. 50. № 2. С. 63 - 66.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V Technique of research of kinetics of semi-elliptical superficial inclined cracks at low-cycle loading / Zavod. Lab. 1984. Vol. 50. N 2. P 63 - 66 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А., Фролов К. В., Стекольников В. В., Макаренко И. В. и др. Прочность и ресурс водо-водяных энергетических реакторов. — М.: Наука, 1988. — 312 с.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Frolov K. V, Stekolnikov V V, Makarenko I. V, et al. Durability and a resource of water-water power reactors. — Moscow: Nauka, 1988. — 312 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Makhutov N. A., Makarenko I. V, Makarenko L. V Residual Stress in Inhomogeneous Austenitic Steels Subjected to Elastop-lastic Strain / Industr. Lab. Diagn. Mater. 1999. Vol. 65. N 4. P 249 - 252.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V, Makarenko L. V Residual Stress in Inhomogeneous Austenitic Steels Subjected to Elastoplastic Strain / Industr. Lab. Diagn. Mater. 1999. Vol. 65. N4.P 249 - 252.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов H. А., Макаренко И. В., Макаренко Л. В. Влияние механической пространственной неоднородности на кинетику трещин в аустенитных сталях / Проблемы прочности. 2004. Т. 36. № 1. С. 113 - 119.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V., Makarenko L. V. Effect of the anisotropy of physicomechanical properties on the kinetics of cracks in austenitic steels / Probl. Prochn. 2004. Vol. 36. N 1. P 113 - 119 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А., Макаренко И. В., Макаренко Л. В.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V., Makarenko L. V. Research kinetics destructions at presence superficial semi-elliptical different-guided cracks in welded elements of the equipment of the atomic power station / Probl. Prochn. 2010. N 1. P. 37 - 45.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Исследование кинетики разрушения при наличии поверхностных полуэллиптических разноориентированных трещин в сварных элементах оборудования АЭС / Проблемы прочности. 2010. № 1. С. 37 - 45.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V, Makarenko L. V Studies on the fracture mechanism and kinetics of randomly oriented surface semielliptic cracks at the multiaxial stress-strain state with deformation criteria of nonlinear fracture mechanics / Strength of Materials. 2013. Vol. 45. N 4. July. P 454 - 458.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Makhutov N. A., Makarenko I. V., Makarenko L. V. Studies on the fracture mechanism and kinetics of randomly oriented surface semielliptic cracks at the multiaxial stress-strain state with deformation criteria of nonlinear fracture mechanics / Strength of Materials. 2013. Vol. 45. N 4. July. P. 454 - 458.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V., Makarenko L. V. Calculation and experimental analysis of the stress-strain state for inclined semi-elliptical surface cracks / Inorganic Materials. 2017. Vol. 53. N 15. P 1502 - 1505.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Makhutov N. A., Makarenko I. V, Makarenko L. V Calculation and experimental analysis of the stress-strain state for inclined semi-elliptical surface cracks / Inorganic Materials. 2017. Vol. 53. N 15. P 1502 - 1505.</mixed-citation><mixed-citation xml:lang="en">ANSYS, 2010. Structural Analysis Guide. 660578.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">ANSYS, 2010. Structural Analysis Guide. 660578.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V., Makarenko L. V. Particularities a micro-mechanism of cycle elastic-plastic fracture and damage / Works of the International Conference “In-service damage of materials, its diagnostics and prediction”. Ternopil Ivan Pul’uj State Technical University, Ukraine. September 21 - 24, 2009. P 96 - 102.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Makhutov N. A., Makarenko I. V, Makarenko L. V Particularities a micro-mechanism of cycle elastic-plastic fracture and damage / Works of the International Conference “In-service damage of materials, its diagnostics and prediction”. Ternopil Ivan Pul’uj State Technical University, Ukraine. September 21 - 24, 2009. P 96 - 102.</mixed-citation><mixed-citation xml:lang="en">Predan J., Mocilnic V, Gubeljak N. Stress intensity factors for circumferential semi-elliptical surface cracks in a hollow cylinder subjected to pure torsion / Eng. Fract. Mech. 2013. Vol. 105. P 152 - 168.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Predan J., Mocilnic V, Gubeljak N. Stress intensity factors for circumferential semi-elliptical surface cracks in a hollow cylinder subjected to pure torsion / Eng. Fract. Mech. 2013. Vol. 105. P 152 - 168.</mixed-citation><mixed-citation xml:lang="en">Tada H., Paris C. P, Irwin G. R. The stress analysis of cracks handbook. 3rd ed. — ASME Press, 2000.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Tada H., Paris C. P., Irwin G. R. The stress analysis of cracks handbook. 3rd ed. — ASME Press, 2000.</mixed-citation><mixed-citation xml:lang="en">Oh C.-Y., Kim Y.-J., Oh Y.-J., Kim J.-S., Song T.-K., Kim Y.-B. Evaluation of stress intensity factors due to welding residual stresses for circumferential cracked pipes / Int. J. Press Vessels and Piping. 2013. Vol. 105 - 106. P 36 - 48.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Oh C.-Y., Kim Y.-J., Oh Y.-J., Kim J.-S., Song T.-K., Kim Y.-B. Evaluation of stress intensity factors due to welding residual stresses for circumferential cracked pipes / Int. J. Press Vessels and Piping. 2013. Vol. 105 - 106. P 36 - 48.</mixed-citation><mixed-citation xml:lang="en">Zareei A., Nabavi S. M. Calculation of stress intensity factors for circumferential semielliptical cracks with high aspect ratio in pipes / Int. J. of Press. Vessels and Piping. 2016. Vol. 146. P 32 - 38.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Zareei A., Nabavi S. M. Calculation of stress intensity factors for circumferential semielliptical cracks with high aspect ratio in pipes / Int. J. of Press. Vessels and Piping. 2016. Vol. 146. P 32 - 38.</mixed-citation><mixed-citation xml:lang="en">Zareei A., Nabavi S. M. Calculation of stress intensity factors for circumferential semielliptical cracks with high aspect ratio in pipes / Int. J. of Press. Vessels and Piping. 2016. Vol. 146. P 32 - 38.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
