journal article·2021-12Open access

Application and discussion of various crack closure models to predict fatigue crack growth in 6061-T651 aluminium alloy

Victor Ribeiro, José Correia, Grzegorz Lesiuk, Aparecido Gonçalves, Abílio De Jesus, Filippo Berto

Abstract

Abstract Fatigue is one of the main causes of failures as well as mechanical fractures in structural details made of aluminium alloys under cyclic loading, where the materials (during the crack growth process) are subject to the stress R-ratio effects and crack closure phenomenon. In this research work, a comparison of the effect of various crack closure/opening models on the fatigue crack growth behaviour of 6061-T651 aluminium alloy is presented. The crack closure models under consideration are the following: Elber; Katcher and Kaplan; Clerivet and Bathias; Schijve; Zhang; Newman; Savaidis; Codrington-Kotousov; and, Correia. A comparison between these models and experimental data is also done. Deterministic quadratic relations based on experimental results between U vs R and R eff vs. R are suggested and compared with various crack closure models under consideration, where U is a quantitative parameter function of crack opening and closing concept. This investigation into the crack closure/opening effects is made using experimental results from the first cycle and stabilised measurements ( U 1 and U s ). Correia’s and Newman’s models presented a better agreement with the experimental results ( U d , s or R eff , s ). In this study, the crack closure quantitative parameters based on the first cycle and stabilised measurements reveal to be different, where U and R eff vary with the crack growth process, which suggests the assumptions listed by Hudak and Davidson, Ellyin, and Correia seem to be correct. Therefore, it can be concluded that the simultaneous monitoring of CTOD-based experimental measurements of the crack closure effects and getting the crack tip stress–strain field based on digital image correlation (DIC) measurements, supported by analytical/numerical solutions, seems to be a good way to describe the fatigue crack growth.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Fatigue and fracture mechanics · Material Properties and Failure Mechanisms · Non-Destructive Testing Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (77)

Show source-provided references
1. A history of fatigue10.1016/0013-7944(95)00178-6 ↗
2. British Standards Institution. BS7910:2005: Guidance on Methods for Assessing the Acceptability of Flaws in Metallic Structures.
3. Suresh · 1998 · 679 pages.
4. Geometry effects on fracture trajectory of PMMA samples under pure mode-I loading10.1016/j.engfracmech.2016.05.014 ↗
5. Multiparametric full-field representations of the in-plane stress fields ahead of cracked components under mixed mode loading10.1016/j.ijfatigue.2011.12.004 ↗
6. Combined analytical-numerical methodologies for the evaluation of mixed-mode (I + II) fatigue crack growth rates in structural steels10.1016/j.engfracmech.2017.04.016 ↗
7. Fatigue life prediction based on an equivalent initial flaw size approach and a new normalized fatigue crack growth model10.1016/j.engfailanal.2016.04.003 ↗
8. Unified two-stage fatigue methodology based on a probabilistic damage model applied to structural details10.1016/j.tafmec.2017.09.004 ↗
9. A rational analytic theory of fatigue
10. A critical analysis of crack propagation laws10.1115/1.3656900 ↗
11. Review of fatigue crack propagation models for metallic components
12. Obtaining S-N curves from crack growth curves: An alternative to self-similarity10.1007/s10704-014-9928-6 ↗
13. Fatigue crack closure under cyclic tension10.1016/0013-7944(70)90028-7 ↗
14. Elber, W. 1971, “The significance of fatigue crack closure”, ASTM Special Technical Publication, May, pp. 230-242.10.1520/STP26680S ↗
15. Review on crack closure for constant amplitude loading in fatigue10.1016/0013-7944(92)90228-7 ↗
16. Fatigue of structures and materials in the 20th century and the state of the art10.1016/S0142-1123(03)00051-3 ↗
17. Fatigue crack closure: a review of the physical phenomena10.1111/ffe.12578 ↗
18. Modified CCS fatigue crack growth model for the AA2019-T851 based on plasticity-induced crack-closure10.1016/j.tafmec.2016.08.024 ↗
19. Effects of R-Factor and Crack Closure on Fatigue Crack Growth for Aluminum and Titanium Alloys
20. Study of crack tip opening under cyclic loading taking into account the environment and R ratio10.1016/0013-7944(79)90100-0 ↗
21. Some formulas for the crack opening stress level10.1016/0013-7944(81)90034-5 ↗
22. Crack propagation studies on Al 7475 on the basis of constant amplitude and selective variable amplitude loading histories10.1111/j.1460-2695.1987.tb00210.x ↗
23. A crack opening stress equation for fatigue crack growth10.1007/BF00020751 ↗
24. The consequences of short crack closure on fatigue crack growth under variable amplitude loading10.1111/j.1460-2695.1991.tb00654.x ↗
25. An analytical procedure for predicting opening loads of cracks at notches10.1111/j.1460-2695.1995.tb01186.x ↗
26. Mode I fatigue crack growth at notches considering crack closure10.1016/j.ijfatigue.2010.02.010 ↗
27. A crack closure model of fatigue crack growth in plates of finite thickness under small-scale yielding conditions10.1016/j.mechmat.2008.10.002 ↗
28. The Dependence of Crack Closure on Fatigue Loading Variables
29. Ellyin · 1997 · 470 pages.
30. Crack Closure Effects on Fatigue Crack Propagation Rates: Application of a Proposed Theoretical Model10.1155/2016/3026745 ↗
31. Strain-based approach for fatigue crack propagation simulation of the 6061–T651 aluminium alloy10.1504/IJMSI.2017.087336 ↗
32. Crack growth behavior of aluminum alloy 6061 T651 under uniaxial and biaxial planar testing condition
33. On effective stress range factor in fatigue10.1115/1.3224772 ↗
34. Some studies on fatigue crack growth rate of aluminum alloy 606110.1016/j.jmatprotec.2007.11.302 ↗
35. Fracture mechanics analysis of the effect of clamping stress on the fatigue life of riveted built-up railroad girders under variable amplitude loading10.1016/j.engfailanal.2020.104812 ↗
36. Lu, T., Zhao, P. & Xuan, F.-. 2019, “Fatigue life prediction for component with local structural discontinuity based on stress field intensity”, Structural Integrity, vol. 7, pp. 245-251.10.1007/978-3-030-13980-3_32 ↗
37. CEN-TC 250. EN 1993-1-9: Eurocode 3, Design of steel structures – Part 1-9: Fatigue. European Committee for Standardization, Brussels; 2003.
38. DNV GL Group. DNVGL-RP-C203: Fatigue design of offshore steel structures; Edition April 2016.
39. Analysis of stresses and strains near the end of a crack traversing a plate10.1115/1.4011547 ↗
40. ASTM E647-15e1, Standard Test Method for Measurement of Fatigue Crack Growth Rates, ASTM International, West Conshohocken, PA, 2015.
41. Practical determination method of the threshold stress intensity factor range Δkth
42. Three-dimensional fatigue crack propagation simulation using extended finite element methods for steel grades S355 and S690 considering mean stress effects10.1016/j.engstruct.2020.111414 ↗
43. Leblond, J.-., Karma, A., Ponson, L. & Vasudevan, A. 2019, “Configurational Stability of a Crack Propagating in Mixed-Mode I + II + III”, Structural Integrity, vol. 8, pp. 101-105.10.1007/978-3-030-21894-2_20 ↗
44. On the distinction between plasticity-and roughness-induced fatigue crack closure10.1007/s11661-012-1121-9 ↗
45. Roughness-Induced Crack Closure: An Explanation for Microstructurally Sensitive Fatigue Crack Growth10.1007/BF02644220 ↗
46. Kinetics of fatigue crack growth and crack closure effect in long term operating steel manufactured at the turn of the 19th and 20th centuries10.1016/j.engfracmech.2017.04.044 ↗
47. Effect of underloads on plasticity-induced crack closure: A numerical analysis10.1115/1.4042865 ↗
48. Numerical analysis of the influence of crack growth scheme on plasticity induced crack closure results10.1007/978-3-030-13980-3_20 ↗
49. A numerical study of plasticity induced crack closure under plane strain conditions10.1016/j.ijfatigue.2014.03.016 ↗
50. Finite element analysis of specimen geometry effects on fatigue crack closure10.1111/j.1460-2695.1994.tb00816.x ↗
51. Crack closure in fatigue of titanium alloy10.1007/BF00116381 ↗
52. Influence of R on effective stress range ratio and crack growth10.1016/0013-7944(85)90032-3 ↗
53. Geerlofs N., Zuidema J., Sietsma J. 2004, “On the Paris exponent and crack closure effects of alporas aluminum foam”, 15th European Conference of Fracture, ECF15; Advanced Fracture Mechanics for Life and Safety Assessments, Stockholm, Sweden, Aug 11-13, 2004.
54. Yielding of steel sheets containing slits10.1016/0022-5096(60)90013-2 ↗
55. Walker, K., 1970, “The Effect of Stress Ratio During Crack Propagation and Fatigue for 2024-T3 and 7075-T6 Aluminum”, Effects of Environment and Complex Load History on Fatigue Life, ASTM International, pp. 1–14.10.1520/STP32032S ↗
56. Klesnil M., Lukáš P. 1992, “Fatigue of Metallic Materials”, Second Edition, Amsterdam, Netherlands, Elsevier Science, Vol. 71, 272 pages.
57. Dowling N.E. 2012, “Mechanical Behavior of Materials”, Fourth Edition, Westford, USA, Pearson, Vol. 71, 960 pages.
58. Unraveling the myth of closure corrections: Sharpening the definition of opening and closure stresses with an energy approach10.1016/j.ijfatigue.2020.106016 ↗
59. Load sequence effects in fatigue crack growth of thick-walled welded C-Mn steel members10.1016/j.ijfatigue.2015.04.021 ↗
60. Corrosion-fatigue: a review of damage tolerance models10.1080/09506608.2017.1375644 ↗
61. Corrosion-fatigue of A1N railway axle steel exposed to rainwater10.1016/j.ijfatigue.2009.08.003 ↗
62. Corrosion fatigue lifetime assessment of high-speed railway axle EA4T steel with artificial scratch10.1016/j.engfracmech.2021.107588 ↗
63. Quantitative dependence of oxide-induced crack closure on air humidity for railway axle steel10.1016/j.ijfatigue.2019.02.019 ↗
64. On the residual life assessment of high-speed railway axles due to induction hardening10.1080/23248378.2018.1427008 ↗
65. Safe life and damage tolerance aspects of railway axles - A review10.1016/j.engfracmech.2012.09.029 ↗
66. Fatigue resistance and remaining life assessment of induction-hardened S38C steel railway axles10.1016/j.ijfatigue.2020.106068 ↗
67. Behavior of surface and corner cracks subjected to tensile and bending loads in a Ti-6Al-4V alloy
68. A uniaxial tensile behavior based fatigue crack growth model10.1016/j.ijfatigue.2019.105324 ↗
69. A physically short fatigue crack growth approach based on low cycle fatigue properties10.1016/j.ijfatigue.2017.05.006 ↗
70. Fatigue crack propagation rates of the aluminium alloy 6061–T651
71. ASTM E606 / E606M-19e1, Standard Test Method for Strain-Controlled Fatigue Testing, ASTM International, West Conshohocken, PA, 2019.
72. Ramberg · 1943 · 902
73. Morrow, J.D. 1965, “Cyclic plastic strain energy and fatigue of metals”. Int Frict Damp Cyclic Plast ASTM STP, ed. B. Lazan (West Conshohocken, PA: ASTM International, 1965), 45-87.10.1520/STP43764S ↗
74. Manson, S.S. 1954, “Behaviour of materials under conditions of thermal stress”, NACA TN-2933, National Advisory Committee for Aeronautics, Washington DC, 105 pages.
75. A study of the effects of the cyclic thermal stresses on a ductile metal
76. A model to quantify fatigue crack growth by cyclic damage accumulation calculated by strip-yield procedures10.3221/IGF-ESIS.41.18 ↗
77. Crack closure effects on fatigue damage ahead of crack tips10.1016/j.ijfatigue.2019.03.039 ↗