Notches, nominal stresses, fatigue strength reduction factors and constant/variable amplitude multiaxial fatigue loading
Source abstract
Abstract
This paper deals with the reformulation of the Modified Wöhler Curve Method to make it suitable for being used along with nominal stresses to design notched components against constant/variable amplitude multiaxial fatigue loading. The accuracy of this design methodology is checked against a large number of experimental results taken from the literature. The outcomes of the performed validation exercise strongly support the idea that the proposed approach can safely be used to perform the multiaxial fatigue assessment of notched structural components. This holds true also when the necessary fatigue strength reduction factors are estimated via standard, classic formulas.
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Research context
OpenAlex topics: Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design · Structural Load-Bearing Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (78)
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1. McKelvey S, Zhang S, Subramanian E, Lee Y-L. Review and Assessment of Multiaxial Fatigue Limit Models. SAE Technical Paper 2020-01-0192, 2020, doi:10.4271/2020-01-0192.10.4271/2020-01-0192 ↗
2. Gradient elasticity: a transformative stress analysis tool to design notched components against uniaxial/multiaxial high-cycle fatigue10.1111/ffe.12447 ↗
3. Multiaxial fatigue life response depending on proportionality grade between normal and shear strains/stresses and material ductility10.1016/j.ijfatigue.2019.105468 ↗
4. Statistical size effect on multiaxial fatigue strength of notched steel components10.1016/j.ijfatigue.2017.08.002 ↗
5. Engineering approaches to multiaxial and non-proportional fatigue of notched components10.1002/mawe.201700188 ↗
6. Multiaxial fatigue life prediction method of notched specimens considering stress gradient effect10.1111/ffe.13438 ↗
7. Comparison of different one-parameter damage laws and local stress-strain approaches in multiaxial fatigue life assessment of notched components10.1016/j.ijfatigue.2021.106405 ↗
8. Two methods for predicting the multiaxial fatigue limits of sharp notches10.1046/j.1460-2695.2003.00683.x ↗
9. A unifying approach to estimate the high-cycle fatigue strength of notched components subjected to both uniaxial and multiaxial cyclic loadings10.1111/j.1460-2695.2004.00759.x ↗
10. 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 ↗
11. 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 ↗
12. Notched fatigue behavior and stress analysis under multiaxial states of stress10.1016/j.ijfatigue.2014.01.014 ↗
13. Multiaxial fatigue analysis of notched components using combined critical plane and critical distance approach10.1016/j.ijmecsci.2019.06.027 ↗
14. 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 ↗
15. Multiaxial variable amplitude fatigue life analysis including notch effects10.1016/j.ijfatigue.2015.12.011 ↗
16. Multiaxial variable amplitude fatigue life analysis using the critical plane approach, Part II: Notched specimen experiments and life estimations10.1016/j.ijfatigue.2017.09.009 ↗
17. Proportional/non-proportional constant/variable amplitude multiaxial notch fatigue: cyclic plasticity, non-zero mean stresses, and critical distance/plane10.1111/ffe.13036 ↗
18. Rennert R, Kullig E, Vormwald M, Esderts A, Siegele D. Analytical strength assessment of components made of steel, cast iron and aluminium materials in mechanical engineering, 6th Edition, VDMA Verlag, Frankfurt, Germany, 2012.
19. Anon. BS 7608, Guide to fatigue design and assessment of steel products, 2014.
20. Hobbacher AF. Recommendations for Fatigue Design of Welded Joints and Components. Springer International Publishing, 2016, ISBN: 978-3-319-23757-2.10.1007/978-3-319-23757-2 ↗
21. DNVGL-RP-C203 - Fatigue design of offshore structures
22. On the multiaxial fatigue assessment of complex three-dimensional stress concentrators10.1016/j.ijfatigue.2014.01.001 ↗
23. Zur Theorie der technischen Formzahl10.1007/BF02584908 ↗
24. Peterson RE. Notch sensitivity. In Metal Fatigue, Eds: G. Sines and J. L. Waisman, McGraw-Hill, New York, 1959, pp. 293-306.
25. 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 ↗
26. Engineering Steels under Combined Cyclic and Static stresses10.1243/PIME_PROC_1949_160_040_02 ↗
27. Anon. ENV 1993-1-1, EUROCODE 3, Design of steel structures, 2005.
28. Anon. EN 1999-1-1, EUROCODE 9, Design of aluminium structures, 2007.
29. Anon. EN 13000:2010+A1:2014, Cranes - Mobile cranes, 2014.
30. A bi-parametric modified Wöhler curve for high cycle multiaxial fatigue assessment10.1046/j.1460-2695.2002.00462.x ↗
31. A stress-based method to predict lifetime under multiaxial fatigue loadings10.1046/j.1460-2695.2003.00723.x ↗
32. Lee Y-L, Pan J, Hathaway RB, Barkey ME. Fatigue Testing and Analysis. Elsevier Butterworth–Heinemann, 2005.
33. The two thresholds of fatigue behaviour10.1111/j.1460-2695.1993.tb00129.x ↗
34. Microstructural effects on crack closure and propagation thresholds of small fatigue cracks10.1046/j.1460-2695.2001.00455.x ↗
35. The fatigue limit and its elimination10.1046/j.1460-2695.1999.00204.x ↗
36. Course of SN-curves especially in the high-cycle fatigue regime with regard to component design and safety10.1016/j.ijfatigue.2006.11.015 ↗
37. On the fatigue notch factor, Kf10.1016/0142-1123(95)93538-D ↗
38. On fatigue limit in the presence of notches: classical vs. recent unified formulations10.1016/S0142-1123(03)00106-3 ↗
39. Stephens RI, Fatemi A, Stephens RR, Fuchs HO. Metal Fatigue in Engineering. 2nd Edition, Wiley, New York, USA, 2000.
40. Heywood RE. Designing against fatigue. Chapman and Hall, London, UK; 1962.
41. Dowling NE. Mechanical Behaviour of Materials. 2nd ed. Prentice-Hall Inc., New Jersey, USA; 1998.
42. Atzori B. Appunti di Costruzione di Macchine. Ed. Cortina, Padova, Italy (In Italian), 2000.
43. On the use of nominal stresses to predict the fatigue strength of welded joints under biaxial cyclic loadings10.1111/j.1460-2695.2004.00814.x ↗
44. Multiaxial fatigue limits and material sensitivity to non-zero mean stresses normal to the critical planes10.1111/j.1460-2695.2008.01228.x ↗
45. The mean stress effect on the high-cycle fatigue strength from a multiaxial fatigue point of view10.1016/j.ijfatigue.2004.11.012 ↗
46. The influence of high R ratio on unnotched fatigue behaviour of 1045 steel with three different heat treatments10.1016/S0142-1123(02)00116-0 ↗
47. Bulk deformation fatigue damage models10.1016/0025-5416(88)90546-0 ↗
48. Kaufman RP, Topper T. The influence of static mean stresses applied normal to the maximum shear planes in multiaxial fatigue. In: Biaxial and Multiaxial fatigue and Fracture, Edited by A. Carpinteri, M. de Freitas and A. Spagnoli, Elsevier and ESIS, 123-143, 2003.10.1016/S1566-1369(03)80008-0 ↗
49. A novel engineering method based on the critical plane concept to estimate the lifetime of weldments subjected to variable amplitude multiaxial fatigue loading10.1111/j.1460-2695.2009.01349.x ↗
50. A simple and efficient numerical algorithm to determine the orientation of the critical plane in multiaxial fatigue problems10.1016/j.ijfatigue.2010.05.004 ↗
51. Estimating fatigue damage under variable amplitude multiaxial fatigue loading10.1111/j.1460-2695.2011.01594.x ↗
52. Estimating the orientation of Stage I crack paths through the direction of maximum variance of the resolved shear stress10.1016/j.ijfatigue.2013.05.007 ↗
53. A critical plane approach to multiaxial fatigue damage including out-of-phase loading10.1111/j.1460-2695.1988.tb01169.x ↗
54. Multiaxial fatigue damage models10.1115/1.3225980 ↗
55. A path-independent parameter for fatigue under proportional and non-proportional loading10.1111/j.1460-2695.1993.tb00739.x ↗
56. Four stress analysis strategies to use the Modified Wöhler Curve Method to perform the fatigue assessment of weldments subjected to constant and variable amplitude multiaxial fatigue loading10.1016/j.ijfatigue.2013.12.001 ↗
57. An improved critical plane and cycle counting method to assess damage under variable amplitude multiaxial fatigue loading10.1111/ffe.13281 ↗
58. Fatigue testing under variable amplitude loading10.1016/j.ijfatigue.2006.10.011 ↗
59. Haibach E. Betriebsfestigkeit—Verfahren und Daten zur Bauteilberechnung. VDI-Verlag GmbH, Düsseldorf, Germany, 1989.
60. Matsuishi M, Endo T. Fatigue of metals subjected to varying stress. Presented to the Japan Society of Mechanical Engineers, Fukuoka, Japan, 1968.
61. Die Lebensdauer von Kugellagern
62. Cumulative damage in fatigue
63. Multiaxial fatigue of welded joints under constant and variable amplitude loadings10.1046/j.1460-2695.2001.00393.x ↗
64. Hänel B, Haibach E, Seeger T, Wirthgen G, Zenner H. FKM-Guideline – Analytical Strength Assessment of Components in Mechanical Engineering, 5th Extended Edition, VDMA Verlag, Frankfurt, Germany, 2007.
65. Multi-axial fatigue behaviour of a severely notched carbon steel10.1016/j.ijfatigue.2005.05.010 ↗
66. 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.
67. Fatigue specimens subjected to combined loading. Role of hydrostatic pressure10.1016/S0142-1123(01)00030-5 ↗
68. Multiaxial fatigue of V-notched steel specimens: a non-conventional application of the local energy method10.1111/j.1460-2695.2011.01585.x ↗
69. Multiaxial fatigue strength of severely notched cast iron specimens10.1016/j.ijfatigue.2014.01.013 ↗
70. Experimental investigation of the multiaxial fatigue strength of ductile cast iron10.1016/j.tafmec.2014.07.003 ↗
71. Fatigue crack growth behavior in the presence of notches and multiaxial nominal stress states10.1016/j.engfracmech.2016.08.017 ↗
72. On the consideration of normal and shear stress interaction in multiaxial fatigue damage analysis10.1016/j.ijfatigue.2017.03.042 ↗
73. The role of the shear and normal stress gradients on life estimation of notched Al7050-T7451 under multiaxial loadings10.1016/j.tafmec.2018.07.006 ↗
74. Constant/variable amplitude multiaxial notch fatigue of additively manufactured AISI 316L10.1016/j.ijfatigue.2021.106412 ↗
75. Fatigue strength of notched specimens made of 40CrMoV13.9 under multiaxial loading10.1016/j.matdes.2013.08.013 ↗
76. Pilkey WD, Pilkey DF, Bi Z. Peterson’s stress concentration factors. 4th Edition, John Wiley & Sons, Inc., 2020.10.1002/9781119532552 ↗
77. Standard Practice for Statistical Analysis of Linear or Linearized Stress-Life (S-N) and Strain-Life (ε-N) Fatigue Data
78. On the accuracy of nominal, structural, and local stress based approaches in designing aluminium welded joints against fatigue10.1016/j.ijfatigue.2016.11.002 ↗