Estimating notch fatigue limits via a machine learning-based approach structured according to the classic Kf formulas
Source abstract
Abstract
This paper deals with the problem of estimating notch fatigue limits via machine learning. The proposed strategy is based on those constitutive elements that were used by the pioneers like Peterson, Neuber, Heywood, and Topper to devise their well-known formulas. The machine learning algorithms being considered were trained and tested using a database containing 238 notch fatigue limits taken from the literature. The outcomes from this study confirm that machine learning is a promising approach for designing notched components against fatigue. In particular, the accuracy in the estimates can easily be increased by simply increasing size and quality of the calibration dataset. Further, since machine learning regression models are highly flexible and can handle high-dimensional datasets with many input features, they can capture complex relationships between input features and the target variable. This means that the accuracy in estimating notch fatigue limit can be increased by including in the analyses further input features like, for instance, grain size or hardness. Finally, machine learning’s generalization ability is crucial for regression tasks where the goal is to predict values for new materials.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Fatigue and fracture mechanics · Mechanical Failure Analysis and Simulation · Non-Destructive Testing Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (75)
Show source-provided references
1. The two thresholds of fatigue behaviour10.1111/j.1460-2695.1993.tb00129.x ↗
2. Microstructural effects on crack closure and propagation thresholds of small fatigue cracks10.1046/j.1460-2695.2001.00455.x ↗
3. The fatigue limit and its elimination10.1046/j.1460-2695.1999.00204.x ↗
4. Course of SN-curves especially in the high-cycle fatigue regime with regard to component design and safety10.1016/j.ijfatigue.2006.11.015 ↗
5. Susmel L. Multiaxial Notch Fatigue: from nominal to local stress-strain quantities. Woodhead & CRC, Cambridge, UK, ISBN: 1 84569 582 8, 2009.10.1533/9781845695835.1 ↗
6. Lee · 2005
7. Prediction of fatigue–crack growth with neural network-based increment learning scheme10.1016/j.engfracmech.2020.107402 ↗
8. Using machine learning to predict lifetime under isothermal low-cycle fatigue and thermo-mechanical fatigue loading10.1016/j.ijfatigue.2022.107067 ↗
9. A physics-informed machine learning approach for notch fatigue evaluation of alloys used in aerospace10.1016/j.ijfatigue.2023.107536 ↗
10. Fatigue life prediction of aluminum alloy via knowledge-based machine learning10.1016/j.ijfatigue.2021.106716 ↗
11. Modelling fatigue life prediction of additively manufactured Ti-6Al-4V samples using machine learning approach10.1016/j.ijfatigue.2022.107483 ↗
12. Data driven method for predicting the effect of process parameters on the fatigue response of additive manufactured AlSi10Mg parts10.1016/j.ijfatigue.2023.107500 ↗
13. On the efficiency of machine learning for fatigue assessment of post-processed additively manufactured AlSi10Mg10.1016/j.ijfatigue.2022.106841 ↗
14. Fatigue life prediction of sandwich composite materials under flexural tests using a Bayesian trained artificial neural network10.1016/j.ijfatigue.2006.06.013 ↗
15. Uncertainty quantification in Neural Networks by Approximate Bayesian Computation: Application to fatigue in composite materials10.1016/j.engappai.2021.104511 ↗
16. Self-learning locally-optimal hypertuning using maximum entropy, and comparison of machine learning approaches for estimating fatigue life in composite materials of the aerospace industry10.1016/j.engstruct.2023.115829 ↗
17. Matloff · 2017
18. Campbell · 2022
19. Rasmussen · 2006
20. Wegelin JA. A survey of Partial Least Squares (PLS) methods, with emphasis on the two-block case. Department of Statistics, University of Washington, Seattle, Washington, 98195 USA, Technical Report No. 371, 2000.
21. Rokach · 2008
22. Marsland · 2015
23. Raschka · 2022
24. Universal features of elastic notch-tip stress fields10.1016/0142-1123(87)90069-7 ↗
25. Neuber · 1958
26. Peterson · 1953
27. Peterson RE. Notch sensitivity. In Metal Fatigue, Eds: G. Sines and J. L. Waisman, McGraw-Hill, New York, 1959, pp. 293-306.
28. On the fatigue notch factor10.1016/0142-1123(95)93538-D ↗
29. On fatigue limit in the presence of notches: classical vs. recent unified formulations10.1016/S0142-1123(03)00106-3 ↗
30. Kuhn P, Hardrath HF. An engineering method for estimating notch-size effect in fatigue tests on steel. NASA Tech Note 2805, 1952.
31. Dowling · 1998
32. Heywood · 1962
33. Prediction of non-propagating cracks10.1016/0013-7944(79)90081-X ↗
34. Geometrical effects in fatigue: a unifying theoretical model10.1016/S0142-1123(99)00007-9 ↗
35. DuQuesnay DL, Topper TH, Yu MT. The Effect of Notch Radius on the Fatigue Notch Factor and the Propagation of Short Cracks. In: The Behaviour of Short Fatigue Cracks, EGF Pub. 1 (Edited by K. J. Miller and E. R. de los Rios, 1986, Mechanical Engineering Pubblications, London, pp. 323-335.
36. Engineering formulae for fatigue strength reduction due to crack-like notches10.1007/BF00942722 ↗
37. Evaluation of the fatigue strength of a deep drawing steel
38. Fatigue crack initiation and propagation phases near notches in metals with low notch sensitivity10.1016/S0142-1123(97)00091-1 ↗
39. Fatigue limit of notched bodies10.1016/0025-5416(78)90009-5 ↗
40. Fatigue Behaviour of AA356-T6 cast aluminium alloy weakened by cracks and notches10.1016/S0013-7944(03)00036-5 ↗
41. Nisitani H, Endo M. Unified treatment of Deep and Shallow Notches in Rotating Bending. In: Basic questions in fatigue: Vol. 1, ASTM STP 924, Edited by J. T. Fong and R. J. Fields, pp. 136-153, 1988.10.1520/STP23214S ↗
42. The Effects of Notch Depth on the Initiation Propagation and Non-propagation of Fatigue Cracks10.1299/kikai1938.35.1856 ↗
43. Fatigue Design in the Presence of Stress Concentrations10.1243/03093240360713496 ↗
44. Propagation and non-propagation of short fatigue cracks at a sharp notch10.1111/j.1460-2695.1983.tb00347.x ↗
45. Tanaka K, Akiniwa Y. Notch geometry effect on propagation threshold of short fatigue cracks in notched components. In: Fatigue '87, Vol. II, Edited by R. O. Ritchie and E. A. Starke Jr., 3th Int. Conf. On Fatigue and Fracture Thresholds, pp. 739-748, 1987.
46. A relation between the critical alternating propagation stress and crack length for mild steel10.1243/PIME_PROC_1959_173_065_02 ↗
47. Frost, N. E. Non-propagating cracks in V-notched specimens subjected to fatigue loading. Aeoronaut Quart 1957;VIII:1-20.10.1017/S0001925900010362 ↗
48. Non-damaging notches in fatigue10.1111/j.1460-2695.1986.tb00446.x ↗
49. El Haddad · 1978
50. Notch fatigue behaviour in cast irons explained using a fracture mechanics approach10.1016/0142-1123(96)00018-7 ↗
51. Grover HJ, Bishop SM, Jackson LR. Axial-Load fatigue tests on notched sheet specimens of 24S-T3 and 75S-T6 aluminum alloys and of SAE 4130 steel with stress-concentration factors of 2.0 and 4.0. NACA report TN 2389, 1951.
52. Grover HJ, Bishop SM, Jackson LR. Fatigue strengths of aircraft materials axial load fatigue tests on unnotched sheet specimens of 24S-T3 and 75S-T6 aluminum alloys and of SAE 4130 steel. NACA report TN 2324, 1951.
53. Short crack fatigue properties and component life estimation
54. Landers CB, Hardrath HF. Results of axial-load fatigue tests on electropolished 2024–T3 and 7075–T6 aluminum-alloy-sheet specimens with central holes. NACA report TN 3631, 1956.
55. Engineering steels under combined cyclic and static stresses10.1243/PIME_PROC_1949_160_040_02 ↗
56. Fatigue specimens subjected to combined loading. Role of hydrostatic pressure10.1016/S0142-1123(01)00030-5 ↗
57. Multi-axial fatigue behaviour of a severely notched carbon steel10.1016/j.ijfatigue.2005.05.010 ↗
58. The Modified Wöhler Curve Method applied along with the Theory of Critical Distances to estimate finite life of notched components subjected to complex multiaxial loading paths10.1111/j.1460-2695.2008.01296.x ↗
59. Kurath P, Downing SD, Galliart D. R. Summary of non-hardened notched shaft round robin program. In: Multiaxial Fatigue (edited by G. E. Leese and D. F. Socie), AE-14, Society of Automotive Engineers, pp. 13–32, 1989.
60. Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method10.1111/j.1460-2695.2011.01585.x ↗
61. Fatigue strength of structural components under multi-axial loading in terms of local energy density averaged on a control volume10.1016/j.ijfatigue.2010.11.019 ↗
62. Experimental investigation of the multiaxial fatigue strength of ductile cast iron10.1016/j.tafmec.2014.07.003 ↗
63. A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading10.1016/j.ijfatigue.2011.11.015 ↗
64. Proportional/non-proportional constant/variable amplitude multiaxial notch fatigue: cyclic plasticity, non-zero mean stresses, and critical distance/plane10.1111/ffe.13036 ↗
65. The influence of high R ratio on mild and sharp notched and unnotched fatigue behavior of 1045 steel with three different heat treatments10.1016/j.ijfatigue.2003.10.006 ↗
66. Influence of stress state on high cycle fatigue of notched Ti–6Al–4V specimens10.1016/S0142-1123(99)00059-6 ↗
67. On the use of critical distance theories for the prediction of the high cycle fatigue limit stress in notched Ti–6Al–4V10.1016/j.ijfatigue.2004.06.002 ↗
68. Evaluation of the fatigue strength of notched specimens by the point and line methods with high stress ratios10.1016/j.ijfatigue.2004.11.006 ↗
69. Application of a new model proposal for fatigue life prediction on notches and key-seats10.1016/S0142-1123(99)00046-8 ↗
70. Fatigue life prediction of small notched Ti–6Al–4V specimens using critical distance10.1016/j.engfracmech.2010.04.001 ↗
71. HCF strength estimation of notched Ti–6Al–4V specimens considering the critical distance size effect10.1016/j.ijfatigue.2011.12.019 ↗
72. Atzori B, Lazzarin P, Meneghetti G. Estimation of fatigue limits of sharply notched components. In: Proc. of Fatigue 2006, Atlanta, Georgia, USA, 2006.
73. A strength evaluation method of a sharply notched structure by a new parameter, the equivalent stress intensity factor
74. Notched fatigue behaviours of two cold rolled steels10.1111/j.1460-2695.1991.tb00645.x ↗
75. Pilkey · 2020