<?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">omna</journal-id><journal-title-group><journal-title xml:lang="ru">Омский научный вестник</journal-title><trans-title-group xml:lang="en"><trans-title>Omsk Scientific Bulletin</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1813-8225</issn><issn pub-type="epub">2541-7541</issn><publisher><publisher-name>Омский государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25206/1813-8225-2025-194-41-48</article-id><article-id custom-type="edn" pub-id-type="custom">UMOBKZ</article-id><article-id custom-type="elpub" pub-id-type="custom">omna-242</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>МАШИНОСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MECHANICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Моделирование процесса проволочно-вырезной электроэрозионной обработки методом конечных элементов</article-title><trans-title-group xml:lang="en"><trans-title>Modeling of wire-cut electrical discharge machining process by finite element method</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5831-282X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Бобков</surname><given-names>Н. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Bobkov</surname><given-names>N. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Бобков Николай Владимирович - старший преподаватель кафедры «Технология машиностроения» ОмГТУ, SPIN-код: 5351-7755. AuthorID (РИНЦ): 819427. AuthorID (SCOPUS): 57194829384. ResearcherID: S-1503-2016.</p><p>Омск</p></bio><bio xml:lang="en"><p>Bobkov Nikolay Vladimirovich - Senior Lecturer at the Mechanical Engineering Technology Department, Omsk State Technical University (OmSTU), SPIN-code: 5351-7755. AuthorID (RSCI): 819427. AuthorID (Scopus): 57194829384 ResearcherID: S-1503-2016.</p><p>Omsk</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6681-087X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Федоров</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Fedorov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Федоров Алексей Аркадьевич - кандидат технических наук, доцент кафедры «Технология машиностроения» ОмГТУ, SPIN-код: 4626-9660. AuthorID (РИНЦ): 610896. AuthorID (SCOPUS): 57193509299. ResearcherID: A-7188-2014.</p><p>Омск</p></bio><bio xml:lang="en"><p>Fedorov Alexey Arkadyevich - Candidate of Technical Sciences, Associate Professor at the Mechanical Engineering Technology Department, OmSTU, Omsk. SPIN-code: 4626-9660. AuthorID (RSCI): 610896. AuthorID (Scopus): 57193509299 ResearcherID: A-7188-2014.</p><p>Omsk</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>Артеменко</surname><given-names>Н. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Artemenko</surname><given-names>N. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Артеменко Никита Сергеевич - аспирант, инженер научно-исследовательской части Учебного научно-производственного центра «Современные технологии машиностроения» ОмГТУ.</p><p>Омск</p></bio><bio xml:lang="en"><p>Artemenko Nikita Sergeyevich - Postgraduate, Research Engineer at the “Modern Manufacturing Technologies” Research and Production Center, OmSTU.</p><p>Omsk</p></bio><email xlink:type="simple">dickydick89@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Омский государственный технический университет<country>Россия</country></aff><aff xml:lang="en">Omsk State Technical University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2025</year></pub-date><pub-date pub-type="epub"><day>30</day><month>06</month><year>2025</year></pub-date><volume>0</volume><issue>2</issue><fpage>41</fpage><lpage>48</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Бобков Н.В., Федоров А.А., Артеменко Н.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Бобков Н.В., Федоров А.А., Артеменко Н.С.</copyright-holder><copyright-holder xml:lang="en">Bobkov N.V., Fedorov A.A., Artemenko N.S.</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://onv.omgtu.ru/jour/article/view/242">https://onv.omgtu.ru/jour/article/view/242</self-uri><abstract><p>В статье предлагается методика моделирования процессов проволочно-вырезной электроэрозионной обработки методом конечных элементов. Описаны основные подходы к расчету тепловых полей, анализу дефектного слоя и фазовых превращений, возникающих при обработке материалов. Рассмотрена возможность использования модели для прогнозирования глубины дефектного слоя и топографии обработанной поверхности. Предложенная методика позволяет оценивать влияние параметров обработки на качество заготовок из титановых и циркониевых сплавов. Методика может применяться в авиационной и космической промышленности, медицине, судостроении и других отраслях, где требуется высокая точность обработки сложных деталей.</p></abstract><trans-abstract xml:lang="en"><p>The paper proposes a methodology for modeling of wire-cut electrical discharge machining processes by finite element method. The authors describe the main approaches to calculating thermal fields by analyzing the recast layer and phase transformations occurring during material processing. Moreover, the article considers the feasibility of using the model to predict the depth of the recast layer and the topography of the processed surface. The proposed methodology allows estimating the influence of machining parameters on the quality of titanium and zirconium alloy blanks. The methodology can be applied in aviation and space industry, medicine, shipbuilding and other industries where high precision machining of complex parts is required.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>электроэрозионная обработка</kwd><kwd>моделирование</kwd><kwd>конечные элементы</kwd><kwd>дефектный слой</kwd><kwd>параметры обработки</kwd><kwd>распространение тепловой энергии</kwd><kwd>тугоплавкие металлы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>electrical discharge machining</kwd><kwd>modeling</kwd><kwd>finite elements</kwd><kwd>defect layer</kwd><kwd>machining parameters</kwd><kwd>heat energy distribution</kwd><kwd>refractory metals</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">Лазаренко Б. Р., Лазаренко Н. И. Электрическая эрозия металлов. В 2 вып. Москва: Госэнергоиздат, 1944. 60 с.</mixed-citation><mixed-citation xml:lang="en">Lazarenko B. R., Lazarenko N. I. Elektricheskaia eroziia metallov [Electrical erosion of metals]. Moscow, 1944. Vol. 1-2. P. 60. (In Russ.).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Kunieda M., Lauwers B., Rajurkar K. P [et al.]. Advancing EDM through fundamental insight into the process. CIRP Annals. 2005. Vol. 54, no. 2. P. 64–87. DOI: 10.1016/s0007-8506(07)60020-1.</mixed-citation><mixed-citation xml:lang="en">Kunieda M., Lauwers B., Rajurkar K. P [et al.]. Advancing EDM through fundamental insight into the process. CIRP Annals. 2005. Vol. 54, no. 2. P. 64–87. DOI: 10.1016/s0007-8506(07)60020-1.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Descoeudres A. Characterization of electrical discharge machining plasmas. EPFL. 2006. DOI: 10.5075/epfl-thesis-3542.</mixed-citation><mixed-citation xml:lang="en">Descoeudres A. Characterization of electrical discharge machining plasmas. EPFL. 2006. DOI: 10.5075/epfl-thesis-3542.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Joshi S., Pande S. Development of an intelligent process model for EDM. The International Journal of Advanced Manufacturing Technology. 2009. Vol. 45. P. 300–317. DOI: 10.1007/s00170-009-1972-4.</mixed-citation><mixed-citation xml:lang="en">Joshi S., Pande S. Development of an intelligent process model for EDM. The International Journal of Advanced Manufacturing Technology. 2009. Vol. 45. P. 300–317. DOI: 10.1007/s00170-009-1972-4.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Beck J. V. Large time solutions for temperatures in a semiinfinite body with a disk heat source. International Journal of Heat and Mass Transfer. 1981. Vol. 24, no. 1. P. 155–164.</mixed-citation><mixed-citation xml:lang="en">Beck J. V. Large time solutions for temperatures in a semiinfinite body with a disk heat source. International Journal of Heat and Mass Transfer. 1981. Vol. 24, no. 1. P. 155–164.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Jilani S. T., Pandey P. C. Analysis and modelling of EDM parameters. Precision Engineering. 1982. Vol. 4. P. 215–221.</mixed-citation><mixed-citation xml:lang="en">Jilani S. T., Pandey P. C. Analysis and modelling of EDM parameters. Precision Engineering. 1982. Vol. 4. P. 215–221.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Pandit S. M., Rajurkar K. P. A stochastic approach to thermal modeling applied to electro-discharge machining. ASME. J. Heat Transfer. 1983. Vol. 105, no. 3. P. 555–562. DOI: 10.1115/1.3245621.</mixed-citation><mixed-citation xml:lang="en">Pandit S. M., Rajurkar K. P. A stochastic approach to thermal modeling applied to electro-discharge machining. ASME. J. Heat Transfer. 1983. Vol. 105, no. 3. P. 555–562. DOI: 10.1115/1.3245621.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Dijck F., Dutré W. Heat conduction model for the calculation of the volume of molten metal in electric discharges. Journal of Physics D: Applied Physics. 2002. Vol. 7. P. 899. DOI: 10.1088/0022-3727/7/6/316.</mixed-citation><mixed-citation xml:lang="en">Dijck F., Dutré W. Heat conduction model for the calculation of the volume of molten metal in electric discharges. Journal of Physics D: Applied Physics. 2002. Vol. 7. P. 899. DOI: 10.1088/0022-3727/7/6/316.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Erden A., Kaftanoglu B. Heat transfer modelling of electric discharge machining. Proceedings of the Twenty-First International Machine Tool Design and Research Conference. London, 1981. DOI: 10.1007/978-1-349-05861-7_46.</mixed-citation><mixed-citation xml:lang="en">Erden A., Kaftanoglu B. Heat transfer modelling of electric discharge machining. Proceedings of the Twenty-First International Machine Tool Design and Research Conference. London, 1981. DOI: 10.1007/978-1-349-05861-7_46.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Jilani S. T., Pandey P. C. An analysis of surface erosion in electrical discharge machining. Wear. Vol. 84, Issue 3. 1983. P. 275–284. DOI: 10.1016/0043-1648(83)90269-7.</mixed-citation><mixed-citation xml:lang="en">Jilani S. T., Pandey P. C. An analysis of surface erosion in electrical discharge machining. Wear. Vol. 84, Issue 3. 1983. P. 275–284. DOI: 10.1016/0043-1648(83)90269-7.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Pandey P. C, Jilani S. T. Plasma channel growth and the resolidified layer in EDM. Precision Engineering. 1986. Vol. 8. P. 104–110.</mixed-citation><mixed-citation xml:lang="en">Pandey P. C, Jilani S. T. Plasma channel growth and the resolidified layer in EDM. Precision Engineering. 1986. Vol. 8. P. 104–110.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Beck J. V. Transient temperatures in a semi-infinite cylinder heated by a disk heat source. International Journal of Heat and Mass Transfer. 1981. Vol. 24. P. 1631–1640.</mixed-citation><mixed-citation xml:lang="en">Beck J. V. Transient temperatures in a semi-infinite cylinder heated by a disk heat source. International Journal of Heat and Mass Transfer. 1981. Vol. 24. P. 1631–1640.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Salah N. B., Ghanem F., Atig K. B. Numerical study of thermal aspects of electric discharge machining process. International Journal of Machine Tools and Manufacture. 2006. Vol. 46, no. 7-8. P. 908–911. DOI: 10.1016/j.ijmachtools.2005.04.022.</mixed-citation><mixed-citation xml:lang="en">Salah N. B., Ghanem F., Atig K. B. Numerical study of thermal aspects of electric discharge machining process. International Journal of Machine Tools and Manufacture. 2006. Vol. 46, no. 7-8. P. 908–911. DOI: 10.1016/j.ijmachtools.2005.04.022.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Jithin S., Raut A., Bhandarkar U. P. [et al.]. Finite element model for topography prediction of electrical discharge textured surfaces considering multi-discharge phenomenon. International Journal of Mechanical Sciences. 2020. Vol. 177. P. 105604. DOI: 10.1016/j.ijmecsci.2020.105604.</mixed-citation><mixed-citation xml:lang="en">Jithin S., Raut A., Bhandarkar U. P. [et al.]. Finite element model for topography prediction of electrical discharge textured surfaces considering multi-discharge phenomenon. International Journal of Mechanical Sciences. 2020. Vol. 177. P. 105604. DOI: 10.1016/j.ijmecsci.2020.105604.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Ming W., Zhen Z., Shengyong Y. [et al.]. Investigating the energy distribution of work piece and optimizing process parameters during the EDM of Al6061, Inconel718 and SKD11. The International Journal of Advanced Manufacturing Technology. 2017. Vol. 92. P. 4039–4056. DOI: 10.1007/s00170-017-0488-6.</mixed-citation><mixed-citation xml:lang="en">Ming W., Zhen Z., Shengyong Y. [et al.]. Investigating the energy distribution of work piece and optimizing process parameters during the EDM of Al6061, Inconel718 and SKD11. The International Journal of Advanced Manufacturing Technology. 2017. Vol. 92. P. 4039–4056. DOI: 10.1007/s00170-017-0488-6.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Singh H. Experimental study of distribution of energy during EDM process for utilization in thermal models. International Journal of Heat and Mass Transfer. 2012. Vol. 55, no. 19-20. P. 5053–5064. DOI: 10.1016/j.ijheatmasstransfer.2012.05.004.</mixed-citation><mixed-citation xml:lang="en">Singh H. Experimental study of distribution of energy during EDM process for utilization in thermal models. International Journal of Heat and Mass Transfer. 2012. Vol. 55, no. 19-20. P. 5053–5064. DOI: 10.1016/j.ijheatmasstransfer.2012.05.004.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang Y., Yonghong L., Yanget S. [et al.]. A novel method of determining energy distribution and plasma diameter of EDM. International Journal of Heat and Mass Transfer. 2014. Vol. 75. P. 425–432. DOI: 10.1016/j.ijheatmasstransfer.2014.03.082.</mixed-citation><mixed-citation xml:lang="en">Zhang Y., Yonghong L., Yanget S. [et al.]. A novel method of determining energy distribution and plasma diameter of EDM. International Journal of Heat and Mass Transfer. 2014. Vol. 75. P. 425–432. DOI: 10.1016/j.ijheatmasstransfer.2014.03.082.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Li Q., Yang X. Study on arc plasma movement and its effect on crater morphology during single-pulse discharge in EDM. The International Journal of Advanced Manufacturing Technology. 2020. Vol. 106. P. 5033–5047. 106. DOI: 10.1007/s00170-020-04964-0.</mixed-citation><mixed-citation xml:lang="en">Li Q., Yang X. Study on arc plasma movement and its effect on crater morphology during single-pulse discharge in EDM. The International Journal of Advanced Manufacturing Technology. 2020. Vol. 106. P. 5033–5047. 106. DOI: 10.1007/s00170-020-04964-0.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Ghiculescu D., Marinescu N. I., Nanu S. Modelling aspects of removal mechanism at ultrasonic aided electro discharge machining. International Journal of Material Forming. 2009. Vol. 2. P. 685–688. DOI: 10.1007/s12289-009-0586-6.</mixed-citation><mixed-citation xml:lang="en">Ghiculescu D., Marinescu N. I., Nanu S. Modelling aspects of removal mechanism at ultrasonic aided electro discharge machining. International Journal of Material Forming. 2009. Vol. 2. P. 685–688. DOI: 10.1007/s12289-009-0586-6.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Khatri B. C., Rathod P., Valaki J. B. Ultrasonic vibration– assisted electric discharge machining: A research review. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 2016. Vol. 230, no. 2. P. 319–330. DOI: 10.1177/0954405415573061.</mixed-citation><mixed-citation xml:lang="en">Khatri B. C., Rathod P., Valaki J. B. Ultrasonic vibration– assisted electric discharge machining: A research review. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 2016. Vol. 230, no. 2. P. 319–330. DOI: 10.1177/0954405415573061.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Mansoor S. M. Finite element analysis of magnetic field assisted wire electric discharge machine. IOP Conference Series: Materials Science and Engineering. 2018. Vol. 402, no. 1. P. 012051. DOI: 10.1088/1757-899X/402/1/012051.</mixed-citation><mixed-citation xml:lang="en">Mansoor S. M. Finite element analysis of magnetic field assisted wire electric discharge machine. IOP Conference Series: Materials Science and Engineering. 2018. Vol. 402, no. 1. P. 012051. DOI: 10.1088/1757-899X/402/1/012051.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Ming W. Comparative study of energy efficiency and environmental impact in magnetic field assisted and conventional electrical discharge machining. Journal of Cleaner Production. 2019. Vol. 214. P. 12–28. DOI: 10.1016/j.jclepro.2018.12.231.</mixed-citation><mixed-citation xml:lang="en">Ming W. Comparative study of energy efficiency and environmental impact in magnetic field assisted and conventional electrical discharge machining. Journal of Cleaner Production. 2019. Vol. 214. P. 12–28. DOI: 10.1016/j.jclepro.2018.12.231.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Yu L. L. Research on mechanism and application of electrical discharge machining with synchronous servo double electrodes for non-conductive engineering ceramics. China University of Petroleum (East China). 2008. DOI: 10.2991/emeit.2012.280.</mixed-citation><mixed-citation xml:lang="en">Yu L. L. Research on mechanism and application of electrical discharge machining with synchronous servo double electrodes for non-conductive engineering ceramics. China University of Petroleum (East China). 2008. DOI: 10.2991/emeit.2012.280.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Yang X., Guo J., Chen X. [et al.]. Molecular dynamics simulation of the material removal mechanism in micro-EDM. Precision Engineering. 2011. Vol. 35, no. 1. P. 51–57. DOI: 10.1016/j.precisioneng.2010.09.005.</mixed-citation><mixed-citation xml:lang="en">Yang X., Guo J., Chen X. [et al.]. Molecular dynamics simulation of the material removal mechanism in micro-EDM. Precision Engineering. 2011. Vol. 35, no. 1. P. 51–57. DOI: 10.1016/j.precisioneng.2010.09.005.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Yue X., Yang X. Molecular dynamics simulation of machining properties of polycrystalline copper in electrical discharge machining. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 2019. Vol. 233, no. 2. P. 371–380. DOI: 10.1177/0954405417748187.</mixed-citation><mixed-citation xml:lang="en">Yue X., Yang X. Molecular dynamics simulation of machining properties of polycrystalline copper in electrical discharge machining. Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture. 2019. Vol. 233, no. 2. P. 371–380. DOI: 10.1177/0954405417748187.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Zhang G., Guo J., Minget W. [et al.]. Study of the machining process of nano-electrical discharge machining based on combined atomistic-continuum modeling method. Applied Surface Science. 2014. Vol. 290. P. 359–367. DOI: 10.1016/j.apsusc.2013.11.084.</mixed-citation><mixed-citation xml:lang="en">Zhang G., Guo J., Minget W. [et al.]. Study of the machining process of nano-electrical discharge machining based on combined atomistic-continuum modeling method. Applied Surface Science. 2014. Vol. 290. P. 359–367. DOI: 10.1016/j.apsusc.2013.11.084.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Yue X., Yang X., Li Q. [et al.]. Novel methods for highspeed observation of material removal and molten pool movement in EDM. Precision Engineering. 2020. Vol. 66. P. 295–305. DOI: 10.1016/j.precisioneng.2020.07.009.</mixed-citation><mixed-citation xml:lang="en">Yue X., Yang X., Li Q. [et al.]. Novel methods for highspeed observation of material removal and molten pool movement in EDM. Precision Engineering. 2020. Vol. 66. P. 295–305. DOI: 10.1016/j.precisioneng.2020.07.009.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Wang J., Han F. Simulation model of debris and bubble movement in consecutive-pulse discharge of electrical discharge machining. International Journal of Machine Tools and Manufacture. 2014. Vol. 77. P. 56–65. DOI: 10.1016/j.ijmachtools.2013.10.007.</mixed-citation><mixed-citation xml:lang="en">Wang J., Han F. Simulation model of debris and bubble movement in consecutive-pulse discharge of electrical discharge machining. International Journal of Machine Tools and Manufacture. 2014. Vol. 77. P. 56–65. DOI: 10.1016/j.ijmachtools.2013.10.007.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Zhu Z., Guo D., Xu J. [et al.]. Processing characteristics of micro electrical discharge machining for surface modification of TiNi shape memory alloys using a TiC powder dielectric. Micromachines. 2020. Vol. 11, no. 11. P. 1018. DOI: 11.1018.10.3390/mi11111018.</mixed-citation><mixed-citation xml:lang="en">Zhu Z., Guo D., Xu J. [et al.]. Processing characteristics of micro electrical discharge machining for surface modification of TiNi shape memory alloys using a TiC powder dielectric. Micromachines. 2020. Vol. 11, no. 11. P. 1018. DOI: 11.1018.10.3390/mi11111018.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Ming W., Zhang S., Zhang G. [et al.]. Progress in modeling of electrical discharge machining process. International Journal of Heat and Mass Transfer. 2022. Vol. 187. P. 122563. DOI: 10.1016/j.ijheatmasstransfer.2022.122563.</mixed-citation><mixed-citation xml:lang="en">Ming W., Zhang S., Zhang G. [et al.]. Progress in modeling of electrical discharge machining process. International Journal of Heat and Mass Transfer. 2022. Vol. 187. P. 122563. DOI: 10.1016/j.ijheatmasstransfer.2022.122563.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Dibitonto D. D., Eubank P. T., Patel M. R. [et al.]. Theoretical models of the electrical discharge machining process. I. A simple cathode erosion model. Journal of Applied Physics. 1989. Vol. 66, no. 9. P. 4095–4103. DOI: 10.1063/1.343994.</mixed-citation><mixed-citation xml:lang="en">Dibitonto D. D., Eubank P. T., Patel M. R. [et al.]. Theoretical models of the electrical discharge machining process. I. A simple cathode erosion model. Journal of Applied Physics. 1989. Vol. 66, no. 9. P. 4095–4103. DOI: 10.1063/1.343994.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Eubank P. T., Patel M. R., Barrufet M. A. [et al.]. Theoretical models of the electrical discharge machining process. III. The variable mass, cylindrical plasma model. Journal of Applied Physics. 1993. Vol. 73, no. 11. P. 7900–7909. DOI: 10.1063/1.353942.</mixed-citation><mixed-citation xml:lang="en">Eubank P. T., Patel M. R., Barrufet M. A. [et al.]. Theoretical models of the electrical discharge machining process. III. The variable mass, cylindrical plasma model. Journal of Applied Physics. 1993. Vol. 73, no. 11. P. 7900–7909. DOI: 10.1063/1.353942.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Wang Z. L., Xie B. C., Wang, Y. K. [et al.]. Numerical Simulation of Cathode Erosion in EDM Process. Advanced Materials Research. 2012. Vol. 462. P. 109–115. DOI: 10.4028/www.scientific.net/AMR.462.109.</mixed-citation><mixed-citation xml:lang="en">Wang Z. L., Xie B. C., Wang, Y. K. [et al.]. Numerical Simulation of Cathode Erosion in EDM Process. Advanced Materials Research. 2012. Vol. 462. P. 109–115. DOI: 10.4028/ www.scientific.net/AMR.462.109.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Izquierdo B., Sanchez J., Plaza S. [et al.]. A numerical model of the EDM process considering the effect of multiple discharges. International Journal of Machine Tools and Manufacture. 2009. Vol. 49, no. 3-4. P. 220–229. DOI: 10.1016/j.ijmachtools.2008.11.003.</mixed-citation><mixed-citation xml:lang="en">Izquierdo B., Sanchez J., Plaza S. [et al.]. A numerical model of the EDM process considering the effect of multiple discharges. International Journal of Machine Tools and Manufacture. 2009. Vol. 49, no. 3-4. P. 220–229. DOI: 10.1016/j.ijmachtools.2008.11.003.</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Jithin S., Bhandarkar U. V., Joshi S. S. Multi-spark model for predicting surface roughness of electrical discharge textured surfaces. The International Journal of Advanced Manufacturing Technology. 2020. Vol. 106. P. 3741–3758. DOI: 10.1007/s00170-019-04841-5.</mixed-citation><mixed-citation xml:lang="en">Jithin S., Bhandarkar U. V., Joshi S. S. Multi-spark model for predicting surface roughness of electrical discharge textured surfaces. The International Journal of Advanced Manufacturing Technology. 2020. Vol. 106. P. 3741–3758. DOI: 10.1007/s00170-019-04841-5.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Kansal H. K., Singh S., Kumar P. Numerical simulation of powder mixed electric discharge machining (PMEDM) using finite element method. Mathematical and Computer Modelling. 2008. Vol. 47, no. 11-12. P. 1217–1237. DOI: 10.1016/j.mcm.2007.05.016.</mixed-citation><mixed-citation xml:lang="en">Kansal H. K., Singh S., Kumar P. Numerical simulation of powder mixed electric discharge machining (PMEDM) using finite element method. Mathematical and Computer Modelling. 2008. Vol. 47, no. 11-12. P. 1217–1237. DOI: 10.1016/j.mcm.2007.05.016.</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Sundriyal S., Yadav J., Walia R. [et al.]. Thermophysicalbased modeling of material removal in powder mixed Near-Dry electric discharge machining. Journal of Materials Engineering and Performance. 2020. Vol. 29. P. 6550–6569. DOI: 10.1007/s11665-020-05110-3.</mixed-citation><mixed-citation xml:lang="en">Sundriyal S., Yadav J., Walia R. [et al.]. Thermophysicalbased modeling of material removal in powder mixed Near-Dry electric discharge machining. Journal of Materials Engineering and Performance. 2020. Vol. 29. P. 6550–6569. DOI: 10.1007/s11665-020-05110-3.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Bobkov N. V., Fedorov A. A., Polonyankin D. A. [et al.]. Issledovaniye vliyaniya rezhimov provolochno-vyreznoy elektroerozionnoy obrabotki na morfologiyu, sherokhovatost’ i treshchinoobrazovaniye poverkhnosti tugoplavkikh metallov [Investigation of the influence wedm on morphology, roughness and cracking of surfaces refractory metals]. Dinamika sistem, mekhanizmov i mashin. Dynamics of Systems, Mechanisms and Machines. 2018. Vol. 6, no. 1. P. 148–154. DOI: 10.25206/23109793-2018-6-1-148-154. EDN: VLXWHK. (In Russ.)</mixed-citation><mixed-citation xml:lang="en">Bobkov N. V., Fedorov A. A., Polonyankin D. A. [et al.]. Issledovaniye vliyaniya rezhimov provolochno-vyreznoy elektroerozionnoy obrabotki na morfologiyu, sherokhovatost’ i treshchinoobrazovaniye poverkhnosti tugoplavkikh metallov [Investigation of the influence wedm on morphology, roughness and cracking of surfaces refractory metals]. Dinamika sistem, mekhanizmov i mashin. Dynamics of Systems, Mechanisms and Machines. 2018. Vol. 6, no. 1. P. 148–154. DOI: 10.25206/23109793-2018-6-1-148-154. EDN: VLXWHK. (In Russ.).</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>
