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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="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">10.26896/1028-6861-2023-89-12-81-87</article-id><article-id custom-type="elpub" pub-id-type="custom">zldm-2085</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>ИССЛЕДОВАНИЕ СТРУКТУРЫ И СВОЙСТВ. МЕХАНИКА МАТЕРИАЛОВ: ПРОЧНОСТЬ, РЕСУРС, БЕЗОПАСНОСТЬ. ОБМЕН ОПЫТОМ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>TESTING OF STRUCTURE AND PARAMETERS. MECHANICAL TESTING METHODS. EXCHANGE OF EXPERIENCE</subject></subj-group></article-categories><title-group><article-title>Экспериментальное определение вязкости межслойного разрушения композитного материала</article-title><trans-title-group xml:lang="en"><trans-title>Experimental determination of the interlayer fracture toughness of a composite material</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>Белоусов</surname><given-names>И. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Belousov</surname><given-names>I. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Илья Сергеевич Белоусов</p><p>630051, Новосибирск, ул. Ползунова, д. 21; 630073, г. Новосибирск, пр-т К. Маркса, д. 20</p></bio><bio xml:lang="en"><p>Il’ya S. Belousov</p><p>21, Polzunova ul., Novosibirsk, 630051; 20, K. Marksa prosp., Novosibirsk, 630073</p></bio><email xlink:type="simple">nio2_s2024@sibnia.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>Беспалов</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Bespalov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Валерий Андреевич Беспалов</p><p>630051, Новосибирск, ул. Ползунова, д. 21</p></bio><bio xml:lang="en"><p>Valerii A. Bespalov</p><p>21, Polzunova ul., Novosibirsk, 630051</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>СибНИА им. С.А. Чаплыгина; Новосибирский государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>S.A. Chaplygin Siberian Research Institute of Aviation; Novosibirsk State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>СибНИА им. С.А. Чаплыгина</institution><country>Россия</country></aff><aff xml:lang="en"><institution>S.A. Chaplygin Siberian Research Institute of Aviation</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>18</day><month>12</month><year>2023</year></pub-date><volume>89</volume><issue>12</issue><fpage>81</fpage><lpage>87</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Белоусов И.С., Беспалов В.А., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Белоусов И.С., Беспалов В.А.</copyright-holder><copyright-holder xml:lang="en">Belousov I.S., Bespalov V.A.</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/2085">https://www.zldm.ru/jour/article/view/2085</self-uri><abstract><p>При решении задачи моделирования распространения межслоевых дефектов в многослойных композитных материалах необходимо знать характеристики рассматриваемого материала, связанные с процессами разрушения. Цель данной работы — определение межслоевой вязкости разрушения в случае нормального отрыва — GIc. Представлены результаты испытаний по определению вязкости разрушения в условиях нормального отрыва. На основании полученных данных проведено конечно-элементное моделирование испытаний. Процесс расслоения моделировали с помощью подходов, наиболее распространенных в рамках метода конечных элементов: VCCT (virtual crack closure technique) и CZM (cohesive zone model). В данных подходах вязкость разрушения используется как основной параметр возникновения расслоения. Проведено сравнение полученных данных с экспериментом. Для подтверждения корректности экспериментальных данных вязкости разрушения GIс проведено моделирование процесса испытаний на сжатие образца типа полоса с дефектом в виде сквозного непроклея. Данная задача включает в себя нелинейный статический расчёт с учетом потери устойчивости и последующего закритического поведения и, как следствие, распространения зоны расслоения. Результаты, полученные с помощью конечно-элементного моделирования, согласуются с имеющимися экспериментальными данными.</p></abstract><trans-abstract xml:lang="en"><p>Modeling the propagation of interlaminar defects in multilayer composite materials requires knowledge of the characteristics of the material under study associated with the fracture processes. The goal of the study is determination of the interlaminar fracture toughness in the case of normal traction (GIc). Finite element modeling of testing was carried out proceeding from the data obtained. The delamination process was modeled using the most common approaches within the finite element method: VCCT (virtual crack closure technique) and CZM (cohesive zone model), wherein the fracture toughness is used as the main parameter for the occurrence of delamination. The obtained data are compared with the experiment. To confirm the correctness of the obtained experimental data on the fracture toughness GIc, modeling of the process of compression testing of a strut-type specimen with a defect in the form of a through-the-width delamination was carried out. This problem includes a nonlinear static solution with buckling and subsequent post-buckling behavior, and, as a result, the spread of the delamination zone. The data obtained using finite element modeling are consistent with the available experimental data.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>композитные материалы</kwd><kwd>расслоение</kwd><kwd>конечно-элементное моделирование</kwd><kwd>вязкость разрушения</kwd></kwd-group><kwd-group xml:lang="en"><kwd>composite materials</kwd><kwd>delamination</kwd><kwd>finite element modeling</kwd><kwd>fracture toughness</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">Sridharan S. (ed.). Delamination behaviour of composites. 1st ed. — NW: Woodhead Publishing, 2008. — 788 p.</mixed-citation><mixed-citation xml:lang="en">Sridharan S. (ed.). Delamination behaviour of composites. 1st ed. — NW: Woodhead Publishing, 2008. — 788 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Chermoshentseva A. S. Development of a technique for increasing the strength of thin-walled structural elements made of composite materials with delamination-type defects: dis. phd. — Moscow, 2018. — 168 p. [in Russian].</mixed-citation><mixed-citation xml:lang="en">Chermoshentseva A. S. Development of a technique for increasing the strength of thin-walled structural elements made of composite materials with delamination-type defects: dis. phd. — Moscow, 2018. — 168 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Zhiharev M. V. Estimation of the strength of high-loaded plates made of composite materials under local impact. Candidate’s Thesis — Chelyabinsk, 2019. — 125 p. [in Russian].</mixed-citation><mixed-citation xml:lang="en">Zhiharev M. V. Estimation of the strength of high-loaded plates made of composite materials under local impact. Candidate’s Thesis — Chelyabinsk, 2019. — 125 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Mortell D. J., Tanner D. A., McCarthy C. T. In-situ SEM study of transverse cracking and delamination in laminated composite materials / Composites Science and Technology. 2014. Vol. 105. P. 118 – 126. DOI: 10.1016/j.compscitech.2014.10.012</mixed-citation><mixed-citation xml:lang="en">Mortell D. J., Tanner D. A., McCarthy C. T. In-situ SEM study of transverse cracking and delamination in laminated composite materials / Composites Science and Technology. 2014. Vol. 105. P. 118 – 126. DOI: 10.1016/j.compscitech.2014.10.012</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Urnev A. S., Chernyatin A. S., Matvienko Y. G., Razumovskii I. A. Experimental and numerical sizing of a delamination defect in layered composite material / Industr. Lab. Mater. Diagn. 2018. Vol. 84. N 10. P. 59 – 66 [in Russian]. DOI: 10.26896/1028-6861-2018-84-10-59-66</mixed-citation><mixed-citation xml:lang="en">Urnev A. S., Chernyatin A. S., Matvienko Y. G., Razumovskii I. A. Experimental and numerical sizing of a delamination defect in layered composite material / Industr. Lab. Mater. Diagn. 2018. Vol. 84. N 10. P. 59 – 66 [in Russian]. DOI: 10.26896/1028-6861-2018-84-10-59-66</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Bokhoeva L. A. Peculiarities of strength calculation of structural elements made of isotropic and composite materials with permissible defects. — Ulan-Ude: VSGTU, 2007. — 192 p. [in Russian].</mixed-citation><mixed-citation xml:lang="en">Bokhoeva L. A. Peculiarities of strength calculation of structural elements made of isotropic and composite materials with permissible defects. — Ulan-Ude: VSGTU, 2007. — 192 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Refahi Oskouei A., Zucchelli A., Ahmadi M., Minak G. An integrated approach based on acoustic emission and mechanical information to evaluate the delamination fracture toughness at mode I in composite laminate / Materials &amp; Design. 2010. Vol. 32. P. 1444 – 1455. DOI: 10.1016/j.matdes.2010.08.048</mixed-citation><mixed-citation xml:lang="en">Refahi Oskouei A., Zucchelli A., Ahmadi M., Minak G. An integrated approach based on acoustic emission and mechanical information to evaluate the delamination fracture toughness at mode I in composite laminate / Materials &amp; Design. 2010. Vol. 32. P. 1444 – 1455. DOI: 10.1016/j.matdes.2010.08.048</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Heidari-Rarani M., Sayedain M. Finite element modeling strategies for 2D and 3D delamination propagation in composite DCB specimens using VCCT, CZM and XFEM approaches / Theor. Appl. Fracture Mech. 2019. Vol. 103. DOI: 10.1016/j.tafmec.2019.102246</mixed-citation><mixed-citation xml:lang="en">Heidari-Rarani M., Sayedain M. Finite element modeling strategies for 2D and 3D delamination propagation in composite DCB specimens using VCCT, CZM and XFEM approaches / Theor. Appl. Fracture Mech. 2019. Vol. 103. DOI: 10.1016/j.tafmec.2019.102246</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Ekhtiyari A., Alderliesten R., Shokrieh M. M. Loading rate dependency of strain energy release rate in mode I delamination of composite laminates / Theor. Appl. Fracture Mech. 2021. Vol. 112. DOI: 10.1016/j.tafmec.2021.102894</mixed-citation><mixed-citation xml:lang="en">Ekhtiyari A., Alderliesten R., Shokrieh M. M. Loading rate dependency of strain energy release rate in mode I delamination of composite laminates / Theor. Appl. Fracture Mech. 2021. Vol. 112. DOI: 10.1016/j.tafmec.2021.102894</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Krueger R. Virtual crack closure technique: History, approach, and applications / Appl. Mech. Rev. Vol. 57(2). P. 109 – 143. DOI: 10.1115/1.1595677</mixed-citation><mixed-citation xml:lang="en">Krueger R. Virtual crack closure technique: History, approach, and applications / Appl. Mech. Rev. Vol. 57(2). P. 109 – 143. DOI: 10.1115/1.1595677</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Irwin G. Analysis of stresses and strains near the end of the crack traversing a plate / J. Appl. Mech. 1957. Vol. 24. P. 361 – 364.</mixed-citation><mixed-citation xml:lang="en">Irwin G. Analysis of stresses and strains near the end of the crack traversing a plate / J. Appl. Mech. 1957. Vol. 24. P. 361 – 364.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Dugdale D. S. Yielding of steel sheets containing slits / J. Mech. Phys. Solids. 1960. Vol. 8. P. 100 – 104. DOI: 10.1016/0022-5096(60)90013-2</mixed-citation><mixed-citation xml:lang="en">Dugdale D. S. Yielding of steel sheets containing slits / J. Mech. Phys. Solids. 1960. Vol. 8. P. 100 – 104. DOI: 10.1016/0022-5096(60)90013-2</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Barenblatt G. I. The Mathematical Theory of Equilibrium Cracks in Brittle Fracture / Adv. Appl. Mech. 1962. Vol. 7. P. 55 – 129. DOI: 10.1016/S0065-2156(08)70121-2</mixed-citation><mixed-citation xml:lang="en">Barenblatt G. I. The Mathematical Theory of Equilibrium Cracks in Brittle Fracture / Adv. Appl. Mech. 1962. Vol. 7. P. 55 – 129. DOI: 10.1016/S0065-2156(08)70121-2</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Tamuzs V., Tarasovs S., Viks U. Progressive delamination and fiber bridging modeling in double cantilever beam composite specimens / Eng. Fracture Mech. 2001. Vol. 68. P. 513 – 525. DOI: 10.1016/S0013-7944(00)00131-4</mixed-citation><mixed-citation xml:lang="en">Tamuzs V., Tarasovs S., Viks U. Progressive delamination and fiber bridging modeling in double cantilever beam composite specimens / Eng. Fracture Mech. 2001. Vol. 68. P. 513 – 525. DOI: 10.1016/S0013-7944(00)00131-4</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Liaojun Yao, Jurui Liu, Zhangming Lyu, Alderliesten R. C., Cui Hao, Chuanxi Ren, Licheng Guo. In-situ damage mechanism investigation and a prediction model for delamination with fibre bridging in composites / Eng. Fracture Mech. 2023. Vol. 281. DOI: 10.1016/j.engfracmech.2023.109079</mixed-citation><mixed-citation xml:lang="en">Liaojun Yao, Jurui Liu, Zhangming Lyu, Alderliesten R. C., Cui Hao, Chuanxi Ren, Licheng Guo. In-situ damage mechanism investigation and a prediction model for delamination with fibre bridging in composites / Eng. Fracture Mech. 2023. Vol. 281. DOI: 10.1016/j.engfracmech.2023.109079</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Shokrieh M. M., Salamat-talab M., Heidari-Rarani M. Dependency of bridging traction of DCB composite specimen on interface fiber angle / Theor. Appl. Fracture Mech. 2017. Vol. 90. P. 22 – 32. DOI: 10.1016/j.tafmec.2017.02.009</mixed-citation><mixed-citation xml:lang="en">Shokrieh M. M., Salamat-talab M., Heidari-Rarani M. Dependency of bridging traction of DCB composite specimen on interface fiber angle / Theor. Appl. Fracture Mech. 2017. Vol. 90. P. 22 – 32. DOI: 10.1016/j.tafmec.2017.02.009</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Maksimenko V. N., Olegin I. P., Pustovoi N. V. Methods for calculating the strength and stiffness of structural elements made of composites: textbook. — Novosibirsk: NSTU, 2015. — 424 p. [in Russian].</mixed-citation><mixed-citation xml:lang="en">Maksimenko V. N., Olegin I. P., Pustovoi N. V. Methods for calculating the strength and stiffness of structural elements made of composites: textbook. — Novosibirsk: NSTU, 2015. — 424 p. [in Russian].</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Shokrieh M. M., Rajabpour-Shirazi H., Heidari-Rarani M., Haghpanahi M. Simulation of mode I delamination propagation in multidirectional composites with R-curve effects using VCCT method / Computational Materials Science. 2012. Vol. 65. P. 66 – 73.</mixed-citation><mixed-citation xml:lang="en">Shokrieh M. M., Rajabpour-Shirazi H., Heidari-Rarani M., Haghpanahi M. Simulation of mode I delamination propagation in multidirectional composites with R-curve effects using VCCT method / Computational Materials Science. 2012. Vol. 65. P. 66 – 73.</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>
