نشریه مهندسی مکانیک امیرکبیر

نشریه مهندسی مکانیک امیرکبیر

پیش‌بینی رفتار خستگی پیچشی احتمالاتی فولاد AISI 52100 با استفاده از رویکرد ترکیبی میکرومکانیک و مکانیک آسیب پیوسته

نوع مقاله : مقاله پژوهشی

نویسندگان
مهدی صفا
احسان براتی
مهرداد خاندائی
مجتمع دانشگاهی مواد و فناوری‌های ساخت، دانشگاه صنعتی مالک اشتر، تهران، ایران
10.22060/mej.2026.25075.7920
چکیده
در این تحقیق اثرات دانه‌بندی و تغییرات خواص مواد، مدول یانگ، در استخراج خستگی پیچشی آلیاژ AISI 52100 مبتنی بر روش احتمالاتی در نظر گرفته شده است. بدین منظور مکانیک آسیب پیوسته و میکرومکانیک مبتنی بر تقسیم‌بندی ورونی با یکدیگر کوپل گردیدند. از شش سطح تنش مختلف با 15 تحلیل به ازای هر سطح تنش در مدل اجزاء محدود دو بعدی استفاده شده و با بهره‌گیری از روش مونت کارلو با قابلیت اعتماد 95 درصد، ده هزار داده به ازای هر سطح تنش تولید شده است. جهت تعیین پراکندگی مقادیر عمر خستگی از تغییرات تصادفی هندسه دانه‌بندی و تغییرات خواص مواد (مدول یانگ) استفاده شده ‌است. فرض شده است که شروع و انتشار آسیب در مرز دانه‌ای باشد. مقدار نرخ رشد آسیب(DΔ) به ازای حالتی که تغییرات مدول یانگ صفر باشد؛ تعیین شده‌است. نتایج حاصل از مدل اجزاء محدود دو بعدی و نتایج اجزاء محدود تک المان با نتایج تجربی موجود برای این آلیاژ مقایسه شده‌اند. با توجه به پراکندگی زیاد عمر خستگی، جهت مقایسه نتایج، از برآزش منحنی بر نتایج تجربی و تحلیلی استفاده شده است. این برآزش نشان داد که درصد خطای بین نتایج این تحقیق با نتایج تجربی بیش از 6 درصد نمی‌باشد.
کلیدواژه‌ها
منحنی تنش برشی-عمر احتمالاتی
میکرومکانیک
مکانیک آسیب
شرط مرزی تناوبی
موضوعات

عنوان مقاله English

Coupled Micromechanics–Continuum Damage Mechanics Framework for Probabilistic Prediction of Torsional Fatigue in AISI 52100 Steel

نویسندگان English

Mahdi Safa
Ehsan Barati
Mehrdad Khandaei
Academic Complex of Materials and Manufacturing Technologies, Malek Ashtar University of Technology, Tehran, Iran
چکیده English

In this study, the effects of grain size distribution and material property variations (Young’s modulus) on the probabilistic-based torsional fatigue life prediction of the AISI 52100 alloy were investigated. To this end, continuum damage mechanics and micromechanics based on Voronoi tessellation were coupled. Six stress levels with fifteen analyses per level were performed using a two-dimensional finite element model. Employing the Monte Carlo method with a 95% confidence level, ten thousand data samples were generated for each stress level. The dispersion in fatigue life was evaluated considering random variations in grain geometry and material properties (Young’s modulus). It was assumed that damage initiation and propagation occur along grain boundaries. The damage growth rate (DΔ) was determined for the case where Young’s modulus variation was zero. The results of the two-dimensional finite element model and single-element finite element analysis were compared with the available experimental data for this alloy. Due to the high scatter in fatigue life, curve fitting was employed to compare analytical and experimental results. The fitting results showed that the error between the present study and the experimental data does not exceed 6%.

کلیدواژه‌ها English

Probabilistic Shear Stress–Life Curve
Micromechanics
Damage Mechanics
Periodic Boundary Condition
  1. J. Lorenz, F. Sadeghi, A. Sharma, C. Wang, B. Wang, An investigation into various failure criteria on rolling contact fatigue through an improved probabilistic model, Tribology International, 188 (2023) 108875.
  2. Yu, H.Z. Huang, Y.F. Li, W. Yang, Z. Deng, A modified nonlinear fatigue damage accumulation model for life prediction of rolling bearing under variable loading conditions, Fatigue & Fracture of Engineering Materials & Structures, 45(3) (2022) 852-864.
  3. Morris, F. Sadeghi, Y.C. Chen, C. Wang, B. Wang, A novel approach for modeling retained austenite transformations during rolling contact fatigue, Fatigue & Fracture of Engineering Materials & Structures, 41(4) (2018) 831-843.
  4. Lei, S. Li, J. Chen, G. Wang, Modeling Martensitic Phase Transformation of Retained Austenite Under Rolling Contact Fatigue, Fatigue & Fracture of Engineering Materials & Structures, 48(10) (2025) 4119-4133.
  5. Shen, S.M. Moghadam, F. Sadeghi, K. Paulson, R.W. Trice, Effect of retained austenite–Compressive residual stresses on rolling contact fatigue life of carburized AISI 8620 steel, International Journal of Fatigue, 75 (2015) 135-144.
  6. V. Zaretsky, E.V. Branzai, Model Specification for Rework of Aircraft Engine, Power Transmission, and Accessory/Auxiliary Ball and Roller Bearings, 2007.
  7. Awd, S. Münstermann, F. Walther, Effect of microstructural heterogeneity on fatigue strength predicted by reinforcement machine learning, Fatigue & Fracture of Engineering Materials & Structures, 45(11) (2022) 3267-3287.
  8. K. Prajapati, M. Tiwari, Experimental investigation on evolution of surface damage and topography parameters during rolling contact fatigue tests, Fatigue & Fracture of Engineering Materials & Structures, 43(2) (2020) 355-370.
  9. Gholami, M.A. Farsi, Reliability analysis of rectangular plate under in-plane tensile loading using continuum damage mechanics theory, energy, 2 (2021) 2 (in persian).
  10. Talebi, M.H. Sadeghi, M.M. Ettefagh, Estimating the Remaining Useful Life of Bearings Using Weibull Function Fitting on IMF, Amirkabir Journal of Mechanical Engineering, 57(1) (2025) 105-122 (in persian).
  11. Raje, F. Sadeghi, R.G. Rateick Jr, A statistical damage mechanics model for subsurface initiated spalling in rolling contacts, Journal of Tribology, 130 (2008) 11.
  12. Raje, F. Sadeghi, Statistical numerical modelling of sub-surface initiated spalling in bearing contacts, Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 223(6) (2009) 849-858.
  13. Raje, T. Slack, F. Sadeghi, A discrete damage mechanics model for high cycle fatigue in polycrystalline materials subject to rolling contact, International Journal of Fatigue, 31(2) (2009) 346-360.
  14. Harris, R. Barnsby, Life ratings for ball and roller bearings, Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 215(6) (2001) 577-595.
  15. Jalalahmadi, F. Sadeghi, A Voronoi finite element study of fatigue life scatter in rolling contacts, Journal of Tribology, 131 (2009) 15.
  16. Weinzapfel, F. Sadeghi, Numerical modeling of sub-surface initiated spalling in rolling contacts, Tribology International, 59 (2013) 210-221.
  17. Weinzapfel, F. Sadeghi, V. Bakolas, A. Liebel, A 3D finite element study of fatigue life dispersion in rolling line contacts, Journal of Tribology, 133 (2011) 10.
  18. Warhadpande, F. Sadeghi, M.N. Kotzalas, G. Doll, Effects of plasticity on subsurface initiated spalling in rolling contact fatigue, International Journal of Fatigue, 36(1) (2012) 80-95.
  19. A. Bomidi, F. Sadeghi, Three-dimensional finite element elastic–plastic model for subsurface initiated spalling in rolling contacts, Journal of Tribology, 136(1) (2014) 011402.
  20. A. Bomidi, N. Weinzapfel, F. Sadeghi, A. Liebel, J. Weber, An improved approach for 3D rolling contact fatigue simulations with microstructure topology, Tribology transactions, 56(3) (2013) 385-399.
  21. A. Bomidi, N. Weinzapfel, T. Slack, S. Mobasher Moghaddam, F. Sadeghi, A. Liebel, J. Weber, T. Kreis, Experimental and numerical investigation of torsion fatigue of bearing steel, Journal of Tribology, 135(3) (2013) 031103.
  22. M. Moghaddam, J.A. Bomidi, F. Sadeghi, N. Weinzapfel, A. Liebel, Effects of compressive stresses on torsional fatigue, Tribology International, 77 (2014) 196-210.
  23. Morris, F. Sadeghi, Y.-C. Chen, C. Wang, B. Wang, Predicting material performance in rolling contact fatigue via torsional fatigue, Tribology Transactions, (2019).
  24. J. Lorenz, F. Sadeghi, H.K. Trivedi, M.S. Kirsch, Investigation into rolling contact fatigue performance of aerospace bearing steels, International Journal of Fatigue, 172 (2023) 107646.
  25. J. Lorenz, F. Sadeghi, H.K. Trivedi, M.S. Kirsch, C. Wang, Effects of grain refinement on rolling contact fatigue in bearing contacts, Journal of Tribology, 143(12) (2021) 121201.
  26. Lemaitre, A course on damage mechanics, Springer science & business media, 2012.
  27. Alizadeh, M. Dehestani, P. Zysset, Mechanical Properties and Structural Behavior of Bone at Nano Scale with Cohesive Element, Amirkabir Journal of Mechanical Engineering, 53(2) (2021) 745-776 (in persian).
  28. Shiravand, M. Asgari, A new method for estimating the compressive strain of cellular structures using microstructure of foams based on Laguerre tessellations, Amirkabir Journal of Mechanical Engineering, 53(6) (2021) 3629-3644 (in persian).
  29. Cheloee Darabi, A. Pourkamali Anaraki, J. Kadkhodapour, S. Schmauder, Investigation of the micromechanical behavior of ferritic-martensitic steel under complex loading, Amirkabir Journal of Mechanical Engineering, 53(6) (2021) 3689-3702 (in persian).
  30. Ghoolipour, F. Biglari, K. Nikbin, Micromechanical Damage Model for Plasticity of‎ Metals to Predict Failure under Shear Loads, Amirkabir Journal of Mechanical Engineering, 53(12) (2022) 5679-5702 (in persian).
  31. Lemaitre, A continuous damage mechanics model for ductile fracture, Journal of Engineering Materials and Technology, 107 (1985) 7.
  32. Kim, X. Chen, C. Han, H. Lee, Estimation methods for fatigue properties of steels under axial and torsional loading, International journal of fatigue, 24(7) (2002) 783-793.
  33. Shimizu, K. Tsuchiya, K. Tosha, Probabilistic stress-life (PSN) study on bearing steel using alternating torsion life test, Tribology Transactions, 52(6) (2009) 807-816.
  34. Tosha, D. Ueda, H. Shimoda, S. Shimizu, A study on P-S-N curve for rotating bending fatigue test for bearing steel, Tribology transactions, 51(2) (2008) 166-172.
  35. Abedin, S. Maleki, N. Kiani, E. Shahrokhinasab, Shear lag effects in angles welded at both legs, Advances in Civil Engineering, 2019(1) (2019) 8041767.
  36. J. Lorenz, F. Sadeghi, C. Wang, Effect of spatial hardness distribution in rolling contact fatigue performance of bearing contacts, Tribology International, 171 (2022) 107550.
  37. J. Böhm, A short introduction to basic aspects of continuum micromechanics, CDLFMD Report, Technical Report 020624, 31998, 1998.
  38. Barbero Ever, Finite element analysis of composite materials using ANSYS®, in, Boca Raton, FL, CRC Press, 2013.
نشریه مهندسی مکانیک امیرکبیر
دوره 57، شماره 9
آذر 1404
صفحه 1187-1212