<?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">10.26896/1028-6861-2020-86-1-44-50</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-1145</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>Кинетика разнонаправленности упругопластического разрушения при учете анизотропии свойств материала</article-title><trans-title-group xml:lang="en"><trans-title>Kinetics of the multidirectionality of elastic-plastic fracture with allowance for anisotropy of the material properties</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>Nikolai A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Николай Андреевич Махутов</p><p>119334, Москва, ул. Бардина, д. 4</p></bio><bio xml:lang="en"><p>4 ul. Bardina, 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>Ivan V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Иван Васильевич Макаренко</p><p>119334, Москва, ул. Бардина, д. 4</p></bio><bio xml:lang="en"><p>4 ul. Bardina, Moscow, 119334</p></bio><email xlink:type="simple">I.V.Makarenko@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>Leonid V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Леонид Васильевич Макаренко</p><p>119334, Москва, ул. Бардина, д. 4</p></bio><bio xml:lang="en"><p>4 ul. Bardina, 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>2020</year></pub-date><pub-date pub-type="epub"><day>30</day><month>01</month><year>2020</year></pub-date><volume>86</volume><issue>1</issue><fpage>44</fpage><lpage>50</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Махутов Н.А., Макаренко И.В., Макаренко Л.В., 2020</copyright-statement><copyright-year>2020</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/1145">https://www.zldm.ru/jour/article/view/1145</self-uri><abstract><p>Живучесть, ресурс и безопасность эксплуатации конструкций определяются степенью их повреждаемости, которая преобладающим образом регламентируется наличием и развитием в материале дефектов типа трещин. На основе расчетно-экспериментальных данных и численных решений предложены кинетические зависимости развития поверхностных разноориентированных полуэллиптических трещин с учетом анизотропии свойств материала. Получены результаты, необходимые для исследований задач кинематики нелинейной механики сплошной анизотропной среды. Предложены уточняющие параметрические уравнения состояния упругопластической деформационной анизотропии. Приведены функциональные зависимости параметров кинетических диаграмм малоциклового разрушения от механических свойств материала для широкого класса сварных соединений аустенитных нержавеющих циклически стабильных сталей типа 12Х18Н10Т. Исследованы процессы развития наклонных поверхностных полуэллиптических трещин в континуумах сварных соединений при нелинейных граничных условиях нагружения. Проведены расчетно-экспериментальные и численные исследования напряженно-деформированного состояния в окрестности контура как стационарных, так и растущих поверхностных полуэллиптических произвольно ориентированных в пространстве трещин при упругопластическом номинальном циклическом нагружении с учетом анизотропии свойств материала. Получено функциональное распределение параметра неоднородности механических свойств материала, влияющего на накопление локальных пластических деформаций и на направление развития упругопластического разрушения, представленное в виде кинетического уравнения нелинейной механики разрушения. На основе сравнения экспериментальных результатов и численных расчетов напряженно-деформированного состояния по контуру исследуемых трещин при нелинейных краевых условиях нагружения показано хорошее согласование интенсивностей относительных упругопластических деформаций в их поверхностных точках с учетом деформационной анизотропии. Расчеты на сопротивление упругопластическому разрушению элементов ответственного оборудования с учетом рассматриваемых факторов нелинейной механики разрушения и неоднородности свойств позволят повысить точность оценки их прочности, эксплуатационных ресурсов и живучести.</p></abstract><trans-abstract xml:lang="en"><p>Survivability, service life and operational safety of the engineering structures are determined by their damage rate which is mainly regulated by the presence and development of the crack-like defects in the material. Kinetic dependences describing the development of multidirectional semi-elliptic surface cracks with allowance for the anisotropy of the material properties are proposed proceeding from experimental data and numerical solutions. The obtained results are required in studying kinematic problems in nonlinear mechanics of a continuous anisotropic medium. Refining parametric equations for elastoplastic deformation anisotropy are proposed. Functional dependences of the parameters of the kinetic diagrams of low-cycle fracture on the mechanical properties of the material are presented for a wide class of welded joints of austenite stainless cyclically stable steels (12Kh18N10T). The processes of developing inclined semi-elliptic surface cracks in the continuums of welded joints under non-linear boundary loading conditions are studied. We have carried out combined computational, experimental and numerical studies of the stress-strain state in the vicinity of the contour of stationary and growing surface semi-elliptic cracks randomly oriented in space under elastoplastic nominal cyclic loading taking into account the anisotropy of the material properties. The functional distribution of the inhomogeneity parameter of the mechanical properties of the material, which affects accumulation of the local plastic strains and direction of developing the elastoplastic fracture is obtained and presented in the form of the kinetic equation of nonlinear fracture mechanics. Comparison of the experimental results and numerical calculations of the stress-strain state along the contour of the cracks under study in nonlinear boundary loading conditions revealed a good agreement between the intensities of relative elastoplastic deformations at their surface points with allowance for the deformation anisotropy. Calculations of the elastoplastic fracture resistance of the critical elements of the equipment with allowance for considered factors of nonlinear fracture mechanics and heterogeneity of the properties can improve the accuracy of evaluation of their strength, service life and survivability.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>локальные упругопластические деформации</kwd><kwd>анизотропия свойств материала</kwd><kwd>скорость развития малоцикловых трещин</kwd><kwd>поверхностные наклонные полуэллиптические трещины</kwd><kwd>коэффициент интенсивности деформаций</kwd></kwd-group><kwd-group xml:lang="en"><kwd>local elastic-plastic deformations</kwd><kwd>anisotropy of the material properties</kwd><kwd>low-cycle crack propagation rate</kwd><kwd>inclined semi elliptical surface cracks</kwd><kwd>strain intensity factor</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., 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 kinetic 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="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Zhao Jun, Zhang Xing. The asymptotic study of fatigue crack growth based on damage mechanics / Engn. Fracture Mechanics. 1995. Vol. 50. N 1. P. 131 – 141.</mixed-citation><mixed-citation xml:lang="en">Zhao Jun, Zhang Xing. The asymptotic study of fatigue crack growth based on damage mechanics / Engn. Fracture Mechanics. 1995. Vol. 50. N 1. P. 131 – 141.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</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="cit4"><label>4</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="cit5"><label>5</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 in clined semi-elliptical surface cracks / Inorganic Materials. 2017. Vol. 53. N 15. P. 1502 – 1505.</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 in clined semi-elliptical surface cracks / Inorganic Materials. 2017. Vol. 53. N 15. P. 1502 – 1505.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Махутов Н. А., Макаренко И. В., Макаренко Л. В. Исследование пространственной механической неоднородности сварных соединений аустенитных нержавеющих сталей / Заводская лаборатория. Диагностика материалов. 2004. Т. 70. № 2. С. 39 – 49.</mixed-citation><mixed-citation xml:lang="en">Makhutov N. A., Makarenko I. V., Makarenko L. V. Research of spatial mechanical heterogeneity of welded connections austenite stainless steels / Zavod. Lab. 2004. Vol. 70. N 2. P. 39 – 49 [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">ANSYS, 2010. Structural Analysis Guide. 660578.</mixed-citation><mixed-citation xml:lang="en">ANSYS, 2010. Structural Analysis Guide. 660578.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Makhytov N. A., Makarenko I. V., Makarenko L. V. A study of fracture kinetics in welded components of nuclear power plant equipment in the presence of surface semi-elliptical variously oriented cracks / Strength of Materials. 2010. Vol. 42. N 1. P. 25 – 31.</mixed-citation><mixed-citation xml:lang="en">Makhytov N. A., Makarenko I. V., Makarenko L. V. A study of fracture kinetics in welded components of nuclear power plant equipment in the presence of surface semi-elliptical variously oriented cracks / Strength of Materials. 2010. Vol. 42. N 1. P. 25 – 31.</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. P. 454 – 458.</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. P. 454 – 458.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Li CQ, Fu GY, Yang W. Stress intensity factors for inclined external surface cracks in pressurized pipes / Engng. Fract. Mech. 2016. Vol. 165. P. 72 – 86.</mixed-citation><mixed-citation xml:lang="en">Li CQ, Fu GY, Yang W. Stress intensity factors for inclined external surface cracks in pressurized pipes / Engng. Fract. Mech. 2016. Vol. 165. P. 72 – 86.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Fu GY, Yang W, Li CQ. Stress intensity factors for mixed mode fracture induced by inclined cracks in pipes under axial tension and bending / Theor. Appl. Fract. Mech. 2017. Vol. 89. P. 100 – 109.</mixed-citation><mixed-citation xml:lang="en">Fu GY, Yang W, Li CQ. Stress intensity factors for mixed mode fracture induced by inclined cracks in pipes under axial tension and bending / Theor. Appl. Fract. Mech. 2017. Vol. 89. P. 100 – 109.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Chandra D., Putra I. S., Ariffin A. K., Mardi N. A., Nukman Y., Purbolaksono J. Fatigue growth analysis of a surface crack in a solid cylinder under combined cyclic axial-torsion loading / Exp. Tech. 2016. Vol. 40. P. 1397 – 1407.</mixed-citation><mixed-citation xml:lang="en">Chandra D., Putra I. S., Ariffin A. K., Mardi N. A., Nukman Y., Purbolaksono J. Fatigue growth analysis of a surface crack in a solid cylinder under combined cyclic axial-torsion loading / Exp. Tech. 2016. Vol. 40. P. 1397 – 1407.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Guoyang Fu, Wei Yang, Chun-Qing Li. Stress intensity factors for mixed mode fracture induced by inclined cracks in pipes under axial tension and bending / Theor. Appl. Fract. Mech. 2017. Vol. 89. P. 100 – 109.</mixed-citation><mixed-citation xml:lang="en">Guoyang Fu, Wei Yang, Chun-Qing Li. Stress intensity factors for mixed mode fracture induced by inclined cracks in pipes under axial tension and bending / Theor. Appl. Fract. Mech. 2017. Vol. 89. P. 100 – 109.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Bin Qianga, Yadong Lia, Changrong Yao, Xin Wang. Through-thickness welding residual stress and its effect on stress intensity factors for semi-elliptical surface cracks in a butt-welded steel plate / Eng. Fract. Mech. 2018. Vol. 193. P. 17 – 31.</mixed-citation><mixed-citation xml:lang="en">Bin Qianga, Yadong Lia, Changrong Yao, Xin Wang. Through-thickness welding residual stress and its effect on stress intensity factors for semi-elliptical surface cracks in a butt-welded steel plate / Eng. Fract. Mech. 2018. Vol. 193. P. 17 – 31.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Miao X. T., Zhou, C. Y., Li J., He X. H. Studies of elastic and elastic — plastic J-integral for mixed mode cracked plate under biaxial loading / Fatigue. Fract. Eng. Mater. Struct. 2016. Vol. 39. P. 536 – 551.</mixed-citation><mixed-citation xml:lang="en">Miao X. T., Zhou, C. Y., Li J., He X. H. Studies of elastic and elastic — plastic J-integral for mixed mode cracked plate under biaxial loading / Fatigue. Fract. Eng. Mater. Struct. 2016. Vol. 39. P. 536 – 551.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Aliha MRM, Gharehbaghi H. The effect of combined mechanical load welding residual stress on mixed mode fracture parameters of a thin aluminum cracked cylinder / Eng. Fract. Mech. 2017. Vol. 180. P. 213 – 241.</mixed-citation><mixed-citation xml:lang="en">Aliha MRM, Gharehbaghi H. The effect of combined mechanical load welding residual stress on mixed mode fracture parameters of a thin aluminum cracked cylinder / Eng. Fract. Mech. 2017. Vol. 180. P. 213 – 241.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Shen HJ, Guo WL. 3D constraint effect on 3D fatigue crack propagation / Int. J. Fatigue. 2005. Vol. 27. P. 617 – 640.</mixed-citation><mixed-citation xml:lang="en">Shen HJ, Guo WL. 3D constraint effect on 3D fatigue crack propagation / Int. J. Fatigue. 2005. Vol. 27. P. 617 – 640.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Tetsuya Koshima, Hiroshi Okada. Three-dimensional J-integral evaluation for finite strain elastic — plastic solid using the quadratic tetrahedral finite element and automatic meshing methodology / Eng. Fract. Mech. 2015. Vol. 135. P. 34 – 63.</mixed-citation><mixed-citation xml:lang="en">Tetsuya Koshima, Hiroshi Okada. Three-dimensional J-integral evaluation for finite strain elastic — plastic solid using the quadratic tetrahedral finite element and automatic meshing methodology / Eng. Fract. Mech. 2015. Vol. 135. P. 34 – 63.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Ferro P., Berto F., James N. M. Asymptotic residual stress distribution induced by multipass welding processes / Int J Fatigue. 2017. Vol. 101. P. 421 – 430.</mixed-citation><mixed-citation xml:lang="en">Ferro P., Berto F., James N. M. Asymptotic residual stress distribution induced by multipass welding processes / Int J Fatigue. 2017. Vol. 101. P. 421 – 430.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Judt P. O., Ricoeur A., Linek G. Crack path prediction in rolled aluminium plates with fracture toughness orthotropy and experimental validation / Eng. Fract. Mech. 2015. Vol. 138. P. 33 – 48.</mixed-citation><mixed-citation xml:lang="en">Judt P. O., Ricoeur A., Linek G. Crack path prediction in rolled aluminium plates with fracture toughness orthotropy and experimental validation / Eng. Fract. Mech. 2015. Vol. 138. P. 33 – 48.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Lach R., Grellmann W. Mixed mode fracture mechanics behaviour of PMMA / Macromol Symp. 2017. Vol. 373. N 1. P. 1 – 6.</mixed-citation><mixed-citation xml:lang="en">Lach R., Grellmann W. Mixed mode fracture mechanics behaviour of PMMA / Macromol Symp. 2017. Vol. 373. N 1. P. 1 – 6.</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>
