Dergiler / Demiryolu Mühendisliği / 2026 / Sayı: 25

Demiryolu Dingilinin S-Geçiş Bölgesindeki Üç Boyutlu Çatlaklarda Çatlak Boyutu ve Yöneliminin Gerilme Şiddet Faktörlerine Etkisi

Effect of Crack Size and Orientation on Stress Intensity Factors of Three-Dimensional Cracks in the S-Transition Region of a Railway Axle

Oğuzhan Demir(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0003-1947-2617
Sayfa
—
Yayın Tarihi
2026-09-16
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Ayrıca β açısının artmasıyla KI azalırken KII ve KIII artmış, bu etkinin β = 30° sonrasında sınırlanmaya başladığı görülmüştür.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Demiryolu dingillerinin S-geçiş bölgeleri, geometrik süreksizlikler ve karmaşık gerilme dağılımları nedeniyle çatlak oluşumu ve ilerlemesi açısından kritik bölgeler arasında yer almaktadır.
📊
Temel Bulgular & Veri:Parametrik analizlerde çatlak derinliğinin yerel radyal et kalınlığına oranı a/t = 0,08, 0,10 ve 0,12, çatlak derinliğinin çatlak uzunluğuna oranı a/c = 0,5, 1,0 ve 1,5, çatlak eğim açıları α = 0°, 15°, 30°, 45°, 60°, 75°, 90° ve çatlak sapma açıları β = 0°, 15°, 30°, 45°, 60° olarak ele alınmıştır.
💡
Sonuç & Katkı:Ayrıca β açısının artmasıyla KI azalırken KII ve KIII artmış, bu etkinin β = 30° sonrasında sınırlanmaya başladığı görülmüştür.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Demiryolu Dingili · S-Geçiş Bölgesi · Gerilme Şiddet Faktörü

Özet

Demiryolu dingillerinin S-geçiş bölgeleri, geometrik süreksizlikler ve karmaşık gerilme dağılımları nedeniyle çatlak oluşumu ve ilerlemesi açısından kritik bölgeler arasında yer almaktadır. Bu çalışmada, demiryolu dingilinin tekerlek ve tahrik dişlisinin dingil üzerindeki oturma yerleri arasında bulunan S-geçiş bölgesindeki üç boyutlu yüzey çatlaklarının gerilme şiddet faktörleri (GŞF) sonlu elemanlar yöntemi kullanılarak sistematik olarak incelenmiştir. Parametrik analizlerde çatlak derinliğinin yerel radyal et kalınlığına oranı a/t = 0,08, 0,10 ve 0,12, çatlak derinliğinin çatlak uzunluğuna oranı a/c = 0,5, 1,0 ve 1,5, çatlak eğim açıları α = 0°, 15°, 30°, 45°, 60°, 75°, 90° ve çatlak sapma açıları β = 0°, 15°, 30°, 45°, 60° olarak ele alınmıştır. Etkileşim integrali yöntemiyle çatlak önü boyunca elde edilen KI, KII ve KIII değerleri değerlendirilmiştir. Sonuçlar, çatlak eğim açısının (α) GŞF bileşenlerinin büyüklüğü ve dağılımı üzerinde belirgin etkisi olduğunu ve eğim açısının artmasıyla çatlak önü dağılımlarının simetrikliğinin bozulduğunu göstermiştir. Buna karşılık, çatlak sapma açısındaki (β) değişimlerde GŞF dağılımları çatlak merkezine göre yaklaşık simetrik kalmıştır. α = 0° durumunda en yüksek KI değerleri elde edilirken, α = 45° civarındaki çatlak yönelimlerinde KII ve KIII değerlerinin mutlak büyüklükleri en yüksek seviyelere ulaşmıştır. Ayrıca β açısının artmasıyla KI azalırken KII ve KIII artmış, bu etkinin β = 30° sonrasında sınırlanmaya başladığı görülmüştür.

Abstract

S-transition regions of railway axles are critical locations for crack initiation and propagation due to geometric discontinuities and highly non-uniform stress fields. In this study, the stress intensity factors (SIFs) of three-dimensional surface cracks located in the S-transition region between the wheel and driving-gear seats of a railway axle were systematically investigated using the finite element method. The parametric analyses considered crack-depth-to-local-wall-thickness ratios of a/t = 0.08, 0.10, and 0.12, crack-depth-to-crack-length ratios of a/c = 0.5, 1.0, and 1.5, crack inclination angles of α = 0°, 15°, 30°, 45°, 60°, 75°, 90°, and crack deflection angles of β = 0°, 15°, 30°, 45°, 60°. The KI, KII, and KIII components were calculated along the crack front using the Interaction Integral method. The results showed that crack inclination (α) has a pronounced effect on the magnitude and distribution of the SIF components, with increasing inclination generally reducing KI and enhancing KII and KIII at intermediate angles. Increasing inclination also caused the crack front SIF distributions to become less symmetric. In contrast, changes in crack deflection angle (β) generally preserved the approximately symmetric character of the crack front distributions. At α = 0°, the highest KI values were obtained, whereas the absolute values of KII and KIII reached their highest levels for crack orientations around α = 45°. Furthermore, as the β angle increased, KI decreased while KII and KIII increased, with this effect becoming limited beyond β = 30°.

🔖

Bu Makaleye Atıf Yap

Demir, O. (2026). Demiryolu Dingilinin S-Geçiş Bölgesindeki Üç Boyutlu Çatlaklarda Çatlak Boyutu ve Yöneliminin Gerilme Şiddet Faktörlerine Etkisi. Demiryolu Mühendisliği, Sayı: 25. https://doi.org/10.47072/demiryolu.2020448

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (44)

  1. U. Zerbst, S. Beretta, G. Köhler, A. Lawton, M. Vormwald, H. T. Beier, et al., “Safe life and damage tolerance aspects of railway axles-A review,” Engineering Fracture Mechanics, vol. 98, pp. 214-271, 2013, doi: 10.1016/j.engfracmech.2012.09.029.
  2. U. Zerbst, M. Vormwald, C. Andersch, K. Mädler, and M. Pfuff, “The development of a damage tolerance concept for railway components and its demonstration for a railway axle,” Engineering Fracture Mechanics, vol. 72, no. 2, pp. 209-239, 2005, doi: 10.1016/j.engfracmech.2003.11.011.
  3. U. Zerbst, M. Schödel, and H. Beier, “Parameters affecting the damage tolerance behaviour of railway axles,” Engineering Fracture Mechanics, vol. 78, no. 5, pp. 793-809, 2011, doi: 10.1016/j.engfracmech.2010.03.013.
  4. M. Luke, I. Varfolomeev, K. Lütkepohl, and A. Esderts, “Fracture mechanics assessment of railway axles: Experimental characterization and computation,” Engineering Failure Analysis, vol. 17, no. 3, pp. 617-623, 2010, doi: 10.1016/j.engfailanal.2009.04.008.
  5. M. Luke, I. Varfolomeev, K. Lütkepohl, and A. Esderts, “Fatigue crack growth in railway axles: Assessment concept and validation tests,” Engineering Fracture Mechanics, vol. 78, no. 5, pp. 714-730, 2011, doi: 10.1016/j.engfracmech.2010.11.024.
  6. Z. Pater, J. Tomczak, and T. Bulzak, “Novel cross wedge rolling method for producing railcar axles,” The International Journal of Advanced Manufacturing Technology, vol. 128, pp. 3403-3413, 2023, doi: 10.1007/s00170-023-12142-1.
  7. M. Madia, S. Beretta, and U. Zerbst, “An investigation on the influence of rotary bending and press fitting on stress intensity factors and fatigue crack growth in railway axles,” Engineering Fracture Mechanics, vol. 75, no. 8, pp. 1906-1920, 2008, doi: 10.1016/j.engfracmech.2007.08.015.
  8. M. Madia, S. Beretta, M. Schödel, U. Zerbst, M. Luke, and I. Varfolomeev, “Stress intensity factor solutions for cracks in railway axles,” Engineering Fracture Mechanics, vol. 78, no. 5, pp. 764-792, 2011, doi: 10.1016/j.engfracmech.2010.03.019.
  9. M. Yamamoto and H. Ishiduka, “Stress concentration of transition groove induced by a press-fitted part in railway axles,” International Journal of Fatigue, vol. 97, pp. 48-55, 2017, doi: 10.1016/j.ijfatigue.2016.12.025.
  10. T. Nwe and M. Pimsarn, “Multiaxial fatigue-life prediction of railway axles with consideration of braking effects,” Mathematical Modelling of Engineering Problems, vol. 10, no. 3, pp. 897-905, 2023, doi: 10.18280/mmep.100320.
  11. A. Pourheidar, S. Beretta, D. Regazzi, and C. Baykara, “Comparison of SIF solutions for cracks under rotating bending and their impact upon propagation lifetime of railway axles,” Procedia Structural Integrity, vol. 8, pp. 116-127, 2018, doi: 10.1016/j.prostr.2017.12.060.
  12. R. Hannemann and M. Sander, “Effect of specimen geometry and press-fit on the stress intensity factor solution for scaled wheelset axles under bending,” Procedia Structural Integrity, vol. 2, pp. 2527-2534, 2016, doi: 10.1016/j.prostr.2016.06.316.
  13. R. Hannemann, P. Köster, and M. Sander, “Investigations on crack propagation in wheelset axles under rotating bending and mixed mode loading,” Procedia Structural Integrity, vol. 5, pp. 861-868, 2017, doi: 10.1016/j.prostr.2017.07.104.
  14. R. Hannemann, P. Köster, and M. Sander, “Fatigue crack growth in wheelset axles under bending and torsional loading,” International Journal of Fatigue, vol. 118, pp. 262-270, 2019, doi: 10.1016/j.ijfatigue.2018.07.038.
  15. T. Nwe and M. Pimsarn, “Deterministic stress intensity factor of a railway axle under adverse running condition,” Materials Science Forum, vol. 1109, pp. 165-171, 2023, doi: 10.4028/p-k75d6R.
  16. A. Boldyrev, P. Zhirov, S. Kravcov, and F. Lozbinev, “Improvement of the direct method to determine stress intensity factors for wheel pair axles,” Transport Engineering, pp. 36-43, 2024, doi: 10.30987/2782-5957-2024-10-36-43.
  17. L. Náhlík, P. Pokorný, M. Ševčík, R. Fajkoš, P. Matušek, and P. Hutař, “Fatigue lifetime estimation of railway axles,” Engineering Failure Analysis, vol. 73, pp. 139-157, 2017, doi: 10.1016/j.engfailanal.2016.12.014.
  18. L. Náhlík, P. Pokorný, M. Ševčík, and P. Hutař, “Influence of initial inclined surface crack on estimated residual fatigue lifetime of railway axle,” Journal of Multiscale Modelling, vol. 7, no. 4, Art. no. 1640007, 2016, doi: 10.1142/S1756973716400072.
  19. A. Levan and J. Royer, “Part-circular surface cracks in round bars under tension, bending and twisting,” International Journal of Fracture, vol. 61, no. 1, pp. 71-89, 1993, doi: 10.1007/BF00032340.
  20. M. Fonte and M. Freitas, “Stress intensity factors for semi-elliptical surface cracks in round bars under bending and torsion,” International Journal of Fatigue, vol. 21, no. 5, pp. 457-463, 1999, doi: 10.1016/S0142-1123(98)00090-5.
  21. J. Lebahn, H. Heyer, and M. Sander, “Numerical stress intensity factor calculation in flawed round bars validated by crack propagation tests,” Engineering Fracture Mechanics, vol. 108, pp. 37-49, 2013, doi: 10.1016/j.engfracmech.2013.04.013.
  22. A. O. Ayhan, “Mixed mode stress intensity factors for deflected and inclined surface cracks in finite-thickness plates,” Engineering Fracture Mechanics, vol. 71, nos. 7-8, pp. 1059-1079, 2004, doi: 10.1016/S0013-7944(03)00153-X.
  23. H. Şahin and A. O. Ayhan, M. Faruk Yaren, “Three-dimensional mixed-mode stress intensity factor solutions for inclined surface cracks in plate structures subjected to uniaxial and biaxial uniform tensile loading,” Marine Structures, vol. 96, Art. no. 103631, doi: 10.1016/j.marstruc.2024.103631.
  24. X.-Y. Fang, H.-N. Zhang, and D.-W. Ma, “Influence of initial crack on fatigue crack propagation with mixed mode in U71Mn rail subsurface,” Engineering Failure Analysis, vol. 136, Art. no. 106220, 2022, doi: 10.1016/j.engfailanal.2022.106220.
  25. M. Rieger et al., “Fatigue crack growth in full-scale railway axles-Influence of secondary stresses and load sequence effects,” International Journal of Fatigue, vol. 132, Art. no. 105360, 2020, doi: 10.1016/j.ijfatigue.2019.105360.
  26. D. Šimůnek, M. Leitner, J. Maierhofer, H. Gänser, and R. Pippan, “Analytical and numerical crack growth analysis of 1:3 scaled railway axle specimens,” Metals, vol. 9, no. 2, Art. no. 184, 2019, doi: 10.3390/met9020184.
  27. D. Šimůnek, M. Leitner, M. Rieger, R. Pippan, H. Gänser, and F. Weber, “Fatigue crack growth in railway axle specimens-Transferability and model validation,” International Journal of Fatigue, vol. 133, Art. no. 105421, 2020, doi: 10.1016/j.ijfatigue.2019.105421.
  28. A. Pourheidar, L. Patriarca, S. Beretta, and D. Regazzi, “Investigation of fatigue crack growth in full-scale railway axles subjected to service load spectra: Experiments and predictive models,” Metals, vol. 11, no. 9, Art. no. 1427, 2021, doi: 10.3390/met11091427.
  29. J. Maierhofer, H. P. Gänser, D. Šimůnek, M. Leitner, R. Pippan, and M. Luke, “Fatigue crack growth model including load sequence effects-Model development and calibration for railway axle steels,” International Journal of Fatigue, vol. 132, Art. no. 105377, 2020, doi: 10.1016/j.ijfatigue.2019.105377.
  30. V. Giannella, R. Sepe, G. D. Michele, and R. Esposito, “Deterministic fatigue crack-growth simulations for a railway axle by dual boundary element method,” IOP Conference Series: Materials Science and Engineering, vol. 1038, no. 1, Art. no. 012080, 2021, doi: 10.1088/1757-899X/1038/1/012080.
  31. V. Giannella, “Fatigue crack-growth predictions for a railway axle under material data variability,” IOP Conference Series: Materials Science and Engineering, vol. 1038, no. 1, Art. no. 012062, 2021, doi: 10.1088/1757-899X/1038/1/012062.
  32. P. Pokorný, P. Dlhý, J. Poduška, R. Fajkoš, T. Vojtek, L. Náhlík, M. Grasso, and P. Hutař, “Influence of heat treatment-induced residual stress on residual fatigue life of railway axles,” Theoretical and Applied Fracture Mechanics, vol. 109, Art. no. 102732, 2020, doi: 10.1016/j.tafmec.2020.102732.
  33. Y. Hu, Q. Qin, S. Wu, X. Zhao, and W. Wang, “Fatigue resistance and remaining life assessment of induction-hardened S38C steel railway axles,” International Journal of Fatigue, vol. 144, Art. no. 106068, 2021, doi: 10.1016/j.ijfatigue.2020.106068.
  34. D. D. Ji, J. W. Zhang, J. S. Xu, H. Li, and K. Su, “Residual life prediction of a deep-rolled axle with flaws based on the extended finite element method,” Scientia Sinica Technologica, vol. 53, pp. 417-429, 2023.
  35. L. Zou, D. Zeng, Y. Zhang, L. Lu, H. Zhao, T. Xu, G. Shi, and H. Chen, “A coupled wear and crack initiation-propagation methodology for fretting fatigue life assessment in press-fitted axles,” International Journal of Fatigue, vol. 159, Art. no. 106817, 2022, doi: 10.1016/j.ijfatigue.2022.106817.
  36. T. Xu, L. Lu, D. Zeng, and L. Zou, “Fretting fatigue crack growth simulation and residual life assessment of railway press-fitted axle,” Engineering Fracture Mechanics, vol. 286, Art. no. 109290, 2023, doi: 10.1016/j.engfracmech.2023.109290.
  37. Y. Sarıkavak, “Tekerlek Ray Etkileşimi, Perlitik ve Beynitik Çeliklerin Yorulma Hasar Direnci Üzerine Bir Sonlu Elemanlar Analizi”, Demiryolu Mühendisliği, sy 14, ss. 65–76, Tem. 2021, doi: 10.47072/demiryolu.934471.
  38. R.-G. Yan, W.-J. Wang, R. Ding, Y.-M. Zeng, W. Shan, Y. Yin, and X.-S. Wang, “Research on size effects in fracture properties and residual life prediction for high-speed train axles,” Theoretical and Applied Fracture Mechanics, vol. 134, Part B, Art. no. 104715, 2024, doi: 10.1016/j.tafmec.2024.104715.
  39. D. Tichoň, T. Vojtek, P. Dlhý, P. Pokorný, L. Náhlík, A. Fernández-Canteli, R. Fajkoš, O. Peter, et al., “Stochastic assessment of residual fatigue life of railway axles considering relevant critical factors,” Railway Engineering Science, vol. 34, pp. 1-24, 2026, doi: 10.1007/s40534-025-00376-6.
  40. H. Zhao, D. Liao, J. Gao, S. Zhu, L. Liu, J. Han, and S. Li, “Damage tolerance assessment of heavy-duty freight railway axles with artificial defects,” Chinese Journal of Mechanical Engineering, vol. 38, Art. no. 57, 2025, doi: 10.1186/s10033-025-01218-6.
  41. D. Zeng, Y. Meng, Y. Dong, X. Zhang, L. Zou, and L. Lu, “Fretting fatigue analysis and residual strength evaluation of railway axles containing defects of natural crack and micro-sinking,” Engineering Fracture Mechanics, vol. 313, Art. no. 110678, 2025, doi: 10.1016/j.engfracmech.2024.110678.
  42. Y. Dong, D. Zeng, H. Zhao, P. Wu, et al., “Fretting fatigue strength evaluation of scaled press-fitted railway axle containing a circumferential groove defect,” International Journal of Fatigue, vol. 194, Art. no. 108824, 2025, doi: 10.1016/j.ijfatigue.2025.108824.
  43. F. Lasmar and F. de C. Magalhães, “Fracture mechanics-based residual life assessment of railway axles with cracks at the wheel hub interface,” in Proc. 28th Int. Congress of Mechanical Engineering (COBEM 2025), 2025, Art. no. COB2025-1164, doi: 10.26678/ABCM.COBEM2025.COB2025-1164.
  44. Ansys Mechanical, Help System, Fracture Analysis Guide: SMART Method for Crack-Growth Simulation. (2026). ANSYS, Inc, Canonsburg, PA.