<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Frontier Materials &amp; Technologies</journal-id><journal-title-group><journal-title xml:lang="en">Frontier Materials &amp; Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Frontier Materials &amp; Technologies</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2782-4039</issn><issn publication-format="electronic">2782-6074</issn><publisher><publisher-name xml:lang="en">Togliatti State University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">997</article-id><article-id pub-id-type="doi">10.18323/2782-4039-2024-4-70-10</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Predictive fatigue life modelling for aluminum alloys winder high temperature and shot peening interact</article-title><trans-title-group xml:lang="ru"><trans-title>Прогнозное моделирование усталостной долговечности алюминиевых сплавов при повышенных температурах после воздействия дробеструйного упрочнения</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0001-1015-2476</contrib-id><name-alternatives><name xml:lang="en"><surname>Alwin</surname><given-names>Allawi H.</given-names></name><name xml:lang="ru"><surname>Элвин</surname><given-names>Аллави Х.</given-names></name></name-alternatives><address><country country="TN">Tunisia</country></address><bio xml:lang="en"><p>PhD (Mechanical Engineering), Laboratory of Electro-Mechanic Systems (LASEM)</p></bio><bio xml:lang="ru"><p>кандидат технических наук, лаборатория электромеханических систем (LASEM)</p></bio><email>tuqa1990@rocketmail.com</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4144-9958</contrib-id><name-alternatives><name xml:lang="en"><surname>Ksibi</surname><given-names>Hatem</given-names></name><name xml:lang="ru"><surname>Ксиби</surname><given-names>Хатем</given-names></name></name-alternatives><address><country country="TN">Tunisia</country></address><bio xml:lang="en"><p>Professor, permanent member of the Materials, Environment and Energy Laboratory, Faculty of Sciences of Gafsa</p></bio><bio xml:lang="ru"><p>профессор, постоянный член лаборатории материалов, окружающей среды и энергии, факультет естественных наук Гафсы</p></bio><email>hatem.ksibi@ipeis.rnu.tn</email><xref ref-type="aff" rid="aff2"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">National School of Engineers of Sfax (ENIS)</institution></aff><aff><institution xml:lang="ru">Инженерный колледж в Сфаксе (ENIS)</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Sfax Preparatory Engineering Institute (IPEIS)</institution></aff><aff><institution xml:lang="ru">Подготовительный инженерный институт в Сфаксе (IPEIS)</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2024-12-28" publication-format="electronic"><day>28</day><month>12</month><year>2024</year></pub-date><issue>4</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>111</fpage><lpage>122</lpage><history><date date-type="received" iso-8601-date="2024-12-27"><day>27</day><month>12</month><year>2024</year></date><date date-type="accepted" iso-8601-date="2024-12-27"><day>27</day><month>12</month><year>2024</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2024, Alwin A., Ksibi H.</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2024, Элвин А., Ксиби Х.</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="en">Alwin A., Ksibi H.</copyright-holder><copyright-holder xml:lang="ru">Элвин А., Ксиби Х.</copyright-holder><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by/4.0</ali:license_ref></license></permissions><self-uri xlink:href="https://vektornaukitech.ru/jour/article/view/997">https://vektornaukitech.ru/jour/article/view/997</self-uri><abstract xml:lang="en"><p>Enhancing the surface quality of shells subjected to high stress is a major task. A variety of procedures are employed for dealing with this issue. Shot peening is particularly common for aluminium alloys made. In fact, the main method for assessing the surface’s durability under consideration is fatigue testing using standard specimens over several cycles. This paper investigates the performance of aluminium alloys under high-temperature exposure, examining their behaviour with and without shot peening-induced hardening. In fact, the study focuses on the fatigue behaviour of aluminium alloys 2024-T4 and 2024-T361 at 250 °C. Experiments on standard-sized specimens were conducted at both room temperature and 250 °C to evaluate how temperature affects fatigue life. The findings were consistent with previously published data, providing useful insights into the behaviour of these alloys at extreme temperatures. Additionally, a mathematical model was developed, integrating the Stress – Number of cycles curve, loading sequence, temperature, and surface hardness from shot peening. This model was compared with Miner’s rule to assess its predictive accuracy. The results show that the new model provides more accurate predictions of fatigue life than Miner’s rule, thereby improving the reliability and safety of components in high-temperature applications. By offering precise fatigue life predictions, this research aids in the design and development of more durable aluminium alloy components, ensuring optimal performance and safety in challenging operating environments.</p></abstract><trans-abstract xml:lang="ru"><p>Повышение качества поверхности оболочек из алюминиевых сплавов, подвергающихся высоким нагрузкам, остается актуальной задачей, для решения которой используются различные методы. Для алюминиевых сплавов наибольшее распространение получило дробеструйное упрочнение. В статье исследуются усталостные характеристики алюминиевых сплавов 2024-T4 и 2024-T361 после дробеструйного упрочнения и без него при комнатной и повышенной температуре (250 °C). Полученные результаты хорошо согласуются с ранее опубликованными данными, предоставляя полезную информацию о поведении этих сплавов при повышенных температурах. Была разработана математическая модель, объединяющая кривую усталости «напряжение – количество циклов до разрушения», амплитуду нагрузки, температуру и твердость поверхности, подвергнутой дробеструйному упрочнению. Полученные с использованием этой модели результаты были сравнены с гипотезой Майнера для оценки усталостной долговечности. Было установлено, что новая модель обеспечивает более точные прогнозы усталостной долговечности, чем гипотеза Майнера, тем самым повышая надежность и безопасность разработанных на ее основе компонентов при высокотемпературных условиях эксплуатации. </p></trans-abstract><kwd-group xml:lang="en"><kwd>shot peening</kwd><kwd>predictive fatigue life</kwd><kwd>aluminium alloys</kwd><kwd>AA2024-T4</kwd><kwd>AA2024-T361</kwd><kwd>high temperature exposure</kwd><kwd>variable loading</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>дробеструйное упрочнение</kwd><kwd>прогнозная усталостная долговечность</kwd><kwd>алюминиевые сплавы</kwd><kwd>AA2024-T4</kwd><kwd>AA2024-T361</kwd><kwd>высокотемпературное воздействие</kwd><kwd>переменное нагружение</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Ahcene A.S., Bey K., Mzad H. Mechanical Fatigue Test of Aluminum Composite Panel (ACP) with Aramid Nida-Core Under Cyclic Bending. Strojnícky časopis - Journal of Mechanical Engineering, 2020, vol. 70, no. 2, pp. 1–10. DOI: 10.2478/scjme-2020-0015.</mixed-citation><mixed-citation xml:lang="ru">Ahcene A.S., Bey K., Mzad H. Mechanical Fatigue Test of Aluminum Composite Panel (ACP) with Aramid Nida-Core Under Cyclic Bending // Strojnícky časopis - Journal of Mechanical Engineering. 2020. Vol. 70. № 2. P. 1–10. DOI: 10.2478/scjme-2020-0015.</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Al-Obaid Y.F. Shot peening mechanics: experimental and theoretical analysis. Mechanics of Materials, 1995, vol. 19, no. 2-3, pp. 251–260. DOI: 10.1016/0167-6636(94)00036-g.</mixed-citation><mixed-citation xml:lang="ru">Al-Obaid Y.F. Shot peening mechanics: experimental and theoretical analysis // Mechanics of Materials. 1995. Vol. 19. № 2-3. P. 251–260. DOI: 10.1016/0167-6636(94)00036-g.</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Hou Hua, Dong Ruifeng, Tan Yuxin, Li Chenhui, Zhang Xiaoyang, Wu Li, Zhu Bin, Zhao Yuhong. Microstructural characteristics and enhanced mechanical properties of 2024 aluminum alloy resulting from shot-peening treatment .Materials Characterization, 2023, vol. 206, part A, article number 113412. DOI: 10.1016/j.matchar.2023.113412.</mixed-citation><mixed-citation xml:lang="ru">Hou Hua, Dong Ruifeng, Tan Yuxin, Li Chenhui, Zhang Xiaoyang, Wu Li, Zhu Bin, Zhao Yuhong. Microstructural characteristics and enhanced mechanical properties of 2024 aluminum alloy resulting from shot-peening treatment // Materials Characterization. 2023. Vol. 206. Part A. Article number 113412. DOI: 10.1016/j.matchar.2023.113412.</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Palmgren A.G. Die Lebensdauer von Kugellagern. Life Length of Roller Bearings or Durability of Ball Bearings. Zeitschrift des Vereines Deutscher Ingenieure (ZVDI), 1924, vol. 14, pp. 339–341.</mixed-citation><mixed-citation xml:lang="ru">Palmgren A.G. Die Lebensdauer von Kugellagern. Life Length of Roller Bearings or Durability of Ball Bearings // Zeitschrift des Vereines Deutscher Ingenieure (ZVDI). 1924. Vol. 14. P. 339–341.</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Susmel L. The Modified Wöhler Curve Method calibrated by using standard fatigue curves and applied in conjunction with the Theory of Critical Distances to estimate fatigue lifetime of aluminum weldments. International Journal of Fatigue, 2009, vol. 31, no. 1, pp. 197–212. DOI: 10.1016/j.ijfatigue.2008.04.004.</mixed-citation><mixed-citation xml:lang="ru">Susmel L. The Modified Wöhler Curve Method calibrated by using standard fatigue curves and applied in conjunction with the Theory of Critical Distances to estimate fatigue lifetime of aluminum weldments // International Journal of Fatigue. 2009. Vol. 31. № 1. P. 197–212. DOI: 10.1016/j.ijfatigue.2008.04.004.</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Miner M.A. Cumulative damage in fatigue. Journal of Applied Mechanics, 1945, vol. 12, no. 3, pp. A159–A164. DOI: 10.1115/1.4009458.</mixed-citation><mixed-citation xml:lang="ru">Miner M.A. Cumulative damage in fatigue // Journal of Applied Mechanics. 1945. Vol. 12. № 3. P. A159–A164. DOI: 10.1115/1.4009458.</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Blasón S., Correia J.A.F.O., Jesus A.M.P., Calcada R.A.B., Fernandez-Canteli A. A probabilistic analysis of Miner’s law for different loading conditions. Structural Engineering and Mechanics, 2016, vol. 60, no. 1, pp. 71–90. DOI: 10.12989/sem.2016.60.1.071.</mixed-citation><mixed-citation xml:lang="ru">Blasón S., Correia J.A.F.O., Jesus A.M.P., Calcada R.A.B., Fernandez-Canteli A. A probabilistic analysis of Miner’s law for different loading conditions // Structural Engineering and Mechanics. 2016. Vol. 60. № 1. P. 71–90. DOI: 10.12989/sem.2016.60.1.071.</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Mahdi H.S., Faris S.T., Abed R.M., Alalkawi H.M., Nasir R. Cumulative fatigue life estimation under combined shot peening and elevated temperature for AA7001-T6. Diyala Journal of Engineering Sciences, 2023, vol. 16, no. 2, pp. 50–59. DOI: 10.24237/djes.2023.16204.</mixed-citation><mixed-citation xml:lang="ru">Mahdi H.S., Faris S.T., Abed R.M., Alalkawi H.M., Nasir R. Cumulative fatigue life estimation under combined shot peening and elevated temperature for AA7001-T6 // Diyala Journal of Engineering Sciences. 2023. Vol. 16. № 2. P. 50–59. DOI: 10.24237/djes.2023.16204.</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Alwin A.H., Ksibi H., Driss Z., Alalkawi H.J.M. Fatigue variable loading under combined high temperature and shot peening treatment for AA2024-T4 and AA2024-T361. Strojnícky časopis - Journal of Mechanical Engineering, 2023, vol. 73, no. 1, pp. 1–12. DOI: 10.2478/scjme-2023-0001.</mixed-citation><mixed-citation xml:lang="ru">Alwin A.H., Ksibi H., Driss Z., Alalkawi H.J.M. Fatigue variable loading under combined high temperature and shot peening treatment for AA2024-T4 and AA2024-T361 // Strojnícky časopis - Journal of Mechanical Engineering. 2023. Vol. 73. № 1. P. 1–12. DOI: 10.2478/scjme-2023-0001.</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Mazlan S., Yidris N., Koloor S.S.R., Petru M. Experimental and numerical analysis of fatigue life of aluminum Al 2024-T351 at elevated temperature. Metals, 2020, vol. 10, no. 12, article number 1581. DOI: 10.3390/met10121581.</mixed-citation><mixed-citation xml:lang="ru">Mazlan S., Yidris N., Koloor S.S.R., Petru M. Experimental and numerical analysis of fatigue life of aluminum Al 2024-T351 at elevated temperature // Metals. 2020. Vol. 10. № 12. Article number 1581. DOI: 10.3390/met10121581.</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Alwin A.H.A., Ksibi H., Driss Z., Alalkawi H.J.M. Optimization of the Shot Peening Time (SPT) in Terms of Mechanical Properties and Fatigue Life of AA2024-T4. AIP Conference Proceedings, 2024, vol. 3002, no. 1, article number 070048. DOI: 10.1063/5.0206464.</mixed-citation><mixed-citation xml:lang="ru">Alwin A.H.A., Ksibi H., Driss Z., Alalkawi H.J.M. Optimization of the Shot Peening Time (SPT) in Terms of Mechanical Properties and Fatigue Life of AA2024-T4 // AIP Conference Proceedings. 2024. Vol. 3002. № 1. Article number 070048. DOI: 10.1063/5.0206464.</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Al-Rubaie K.S. A general model for stress-life fatigue prediction. Materialwissenschaft Und Werkstofftechnik, 2008, vol. 39, no. 6, pp. 400–406. DOI: 10.1002/mawe.200800282.</mixed-citation><mixed-citation xml:lang="ru">Al-Rubaie K.S. A general model for stress-life fatigue prediction // Materialwissenschaft Und Werkstofftechnik. 2008. Vol. 39. № 6. P. 400–406. DOI: 10.1002/mawe.200800282.</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Alkawi H.J.M., Mohammed Q.K., Al-Nuami W.S. The effect of shot peening and residual stresses on cumulative fatigue damage. Engineering and Technology Journal, 2010, vol. 28, no. 15, pp. 5055–5070. DOI: 10.30684/etj.28.15.14.</mixed-citation><mixed-citation xml:lang="ru">Alkawi H.J.M., Mohammed Q.K., Al-Nuami W.S. The effect of shot peening and residual stresses on cumulative fatigue damage // Engineering and Technology Journal. 2010. Vol. 28. № 15. P. 5055–5070. DOI: 10.30684/etj.28.15.14.</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Kondo Y. Fatigue under variable amplitude loading. Comprehensive Structural Integrity, 2003, vol. 4, pp. 253–279. DOI: 10.1016/b0-08-043749-4/04029-5.</mixed-citation><mixed-citation xml:lang="ru">Kondo Y. Fatigue under variable amplitude loading // Comprehensive Structural Integrity. 2003. Vol. 4. P. 253–279. DOI: 10.1016/b0-08-043749-4/04029-5.</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Maleki E., Bagherifard S., Unal O., Bandini M., Farrahi G.H., Guagliano M. Introducing gradient severe shot peening as a novel mechanical surface treatment. Scientific Reports, 2021, vol. 11, no. 1, article number 22035. DOI: 10.1038/s41598-021-01152-2.</mixed-citation><mixed-citation xml:lang="ru">Maleki E., Bagherifard S., Unal O., Bandini M., Farrahi G.H., Guagliano M. Introducing gradient severe shot peening as a novel mechanical surface treatment // Scientific Reports. 2021. Vol. 11. № 1. Article number 22035. DOI: 10.1038/s41598-021-01152-2.</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Hectors K., De Waele W. Cumulative Damage and Life Prediction Models for High-Cycle Fatigue of Metals: A Review. Metals, 2021, vol. 11, no. 2, article number 204. DOI: 10.3390/met11020204.</mixed-citation><mixed-citation xml:lang="ru">Hectors K., De Waele W. Cumulative Damage and Life Prediction Models for High-Cycle Fatigue of Metals: A Review // Metals. 2021. Vol. 11. № 2. Article number 204. DOI: 10.3390/met11020204.</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Fatemi A., Yang L. Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials. International Journal of Fatigue, 1998, vol. 20, no. 1, pp. 9–34. DOI: 10.1016/s0142-1123(97)00081-9.</mixed-citation><mixed-citation xml:lang="ru">Fatemi A., Yang L. Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials // International Journal of Fatigue. 1998. Vol. 20. № 1. P. 9–34. DOI: 10.1016/s0142-1123(97)00081-9.</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><citation-alternatives><mixed-citation xml:lang="en">Li Guowei, Dong Zhicheng, Luo Tianhao, Huang Heyuan. Study on the influence of shot peening strengthening before shot peen forming on 2024-T351 aluminum alloy fatigue crack growth rate. Scientific Reports, 2023, vol. 13, no. 1, article number 5313. DOI: 10.1038/s41598-023-32616-2.</mixed-citation><mixed-citation xml:lang="ru">Li Guowei, Dong Zhicheng, Luo Tianhao, Huang Heyuan. Study on the influence of shot peening strengthening before shot peen forming on 2024-T351 aluminum alloy fatigue crack growth rate // Scientific Reports. 2023. Vol. 13. № 1. Article number 5313. DOI: 10.1038/s41598-023-32616-2.</mixed-citation></citation-alternatives></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Starkey W.L., Marco S.M. Effect of Complex Stress-Time Cycles on the Fatigue Properties of Metals. Transactions of ASME, 1957, vol. 79, no. 6, pp. 1329–1336. DOI: 10.1115/1.4013318 .</mixed-citation><mixed-citation xml:lang="ru">Starkey W.L., Marco S.M. Effect of Complex Stress-Time Cycles on the Fatigue Properties of Metals // Transactions of ASME. 1957. Vol. 79. № 6. P. 1329–1336. DOI: 10.1115/1.4013318 .</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Zhao Gongwei, Liu Yating, Ye Nanhai. An improved fatigue accumulation damage model based on load interaction and strength degradation. International Journal of Fatigue, 2022, vol. 156, article number 106636. DOI: 10.1016/j.ijfatigue.2021.106636.</mixed-citation><mixed-citation xml:lang="ru">Zhao Gongwei, Liu Yating, Ye Nanhai. An improved fatigue accumulation damage model based on load interaction and strength degradation // International Journal of Fatigue. 2022. Vol. 156. Article number 106636. DOI: 10.1016/j.ijfatigue.2021.106636.</mixed-citation></citation-alternatives></ref><ref id="B21"><label>21.</label><citation-alternatives><mixed-citation xml:lang="en">Hwang W., Han K.S. Cumulative Damage Models and Multi-Stress Fatigue Life Prediction. Journal of Composite Materials, 1986, vol. 20, no. 2, pp. 125–153. DOI: 10.1177/002199838602000202.</mixed-citation><mixed-citation xml:lang="ru">Hwang W., Han K.S. Cumulative Damage Models and Multi-Stress Fatigue Life Prediction // Journal of Composite Materials. 1986. Vol. 20. № 2. P. 125–153. DOI: 10.1177/002199838602000202.</mixed-citation></citation-alternatives></ref><ref id="B22"><label>22.</label><citation-alternatives><mixed-citation xml:lang="en">Hong Yan Miao, Lévesque M., Gosselin F.P. Shot peen forming pattern optimization to achieve cylindrical and saddle target shapes: The inverse problem. CIRP Journal of Manufacturing Science and Technology, 2022, vol. 36, pp. 67–77. DOI: 10.1016/j.cirpj.2021.11.003.</mixed-citation><mixed-citation xml:lang="ru">Hong Yan Miao, Lévesque M., Gosselin F.P. Shot peen forming pattern optimization to achieve cylindrical and saddle target shapes: The inverse problem // CIRP Journal of Manufacturing Science and Technology. 2022. Vol. 36. P. 67–77. DOI: 10.1016/j.cirpj.2021.11.003.</mixed-citation></citation-alternatives></ref><ref id="B23"><label>23.</label><citation-alternatives><mixed-citation xml:lang="en">Miller K.J., Mohamed H.J., de los Rios E.R. Fatigue damage accumulation above and below the fatigue limit. The Behavior of Short Fatigue Cracks. (EGF 1). London, Mechanical Engineering Publications, 1986, pp. 491–511.</mixed-citation><mixed-citation xml:lang="ru">Miller K.J., Mohamed H.J., de los Rios E.R. Fatigue damage accumulation above and below the fatigue limit // The Behavior of Short Fatigue Cracks. (EGF 1). London: Mechanical Engineering Publications, 1986. P. 491–511.</mixed-citation></citation-alternatives></ref><ref id="B24"><label>24.</label><citation-alternatives><mixed-citation xml:lang="en">Holt J.M.T., ed. Structural Alloys Handbook. West Lafayette, CINDAS/Purdue University Publ., 1996. 580 p.</mixed-citation><mixed-citation xml:lang="ru">Structural Alloys Handbook / ed. J.M.T. Holt. West Lafayette: CINDAS/Purdue University, 1996. 580 p.</mixed-citation></citation-alternatives></ref></ref-list></back></article>
