This paper explains a novel methodology to determine the High Cycle Fatigue (HCF) reliability of materials with defects. A defect was represented by a semi-spherical void situated at a specimen surface subjected to periodic loading. Then, the Finite Element (FE) method was carried out to find out the stress distribution near the defects for diverse sizes and diverse loadings. The Crossland stress change is studied and interpolated by a mathematical function depending on fatigue limits, defect radius, and profundity from the defect tip. The HCF strength of defect material is computed by the “stress strength” approach via the Monte Carlo sampling. This approach leads to determine Kitagawa–Takahashi diagrams, for a definite reliability, of materials with defects. The calculated HCF reliabilities agree well with fatigue tests. Obtaining Kitagawa–Takahashi diagrams with reliability level permits the engineer to be engaged in an endurance problem to compute the defective fatigue lives in safe and efficient process. As a final point, we discuss the sensitivity effects of defect size, defect free fatigue limits, affected depth, and load amplitude to envisage the fatigue reliability of materials with defects.
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Anouar Nasr 1, 2 ; Wannes Hassine 1 ; Chokri Bouraoui 3
@article{CRMECA_2018__346_12_1199_0,
author = {Anouar Nasr and Wannes Hassine and Chokri Bouraoui},
title = {Affected depth approach to determine the fatigue strength of materials containing surface defects},
journal = {Comptes Rendus. M\'ecanique},
pages = {1199--1215},
publisher = {Elsevier},
volume = {346},
number = {12},
year = {2018},
doi = {10.1016/j.crme.2018.08.012},
language = {en},
}
TY - JOUR AU - Anouar Nasr AU - Wannes Hassine AU - Chokri Bouraoui TI - Affected depth approach to determine the fatigue strength of materials containing surface defects JO - Comptes Rendus. Mécanique PY - 2018 SP - 1199 EP - 1215 VL - 346 IS - 12 PB - Elsevier DO - 10.1016/j.crme.2018.08.012 LA - en ID - CRMECA_2018__346_12_1199_0 ER -
%0 Journal Article %A Anouar Nasr %A Wannes Hassine %A Chokri Bouraoui %T Affected depth approach to determine the fatigue strength of materials containing surface defects %J Comptes Rendus. Mécanique %D 2018 %P 1199-1215 %V 346 %N 12 %I Elsevier %R 10.1016/j.crme.2018.08.012 %G en %F CRMECA_2018__346_12_1199_0
Anouar Nasr; Wannes Hassine; Chokri Bouraoui. Affected depth approach to determine the fatigue strength of materials containing surface defects. Comptes Rendus. Mécanique, Volume 346 (2018) no. 12, pp. 1199-1215. doi : 10.1016/j.crme.2018.08.012. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.08.012/
[1] High cycle fatigue behaviour of spheroidal graphite cast iron, Fatigue Fract. Eng. Mater. Struct., Volume 21 (1998), pp. 287-296
[2] A probabilistic approach to predict the very high cycle fatigue behaviour of spheroidal graphite cast iron structures, Fatigue Fract. Eng. Mater. Struct., Volume 23 (1999), pp. 173-180
[3] Probabilistic high cycle fatigue behaviour of nodular cast iron containing casting defects, Fatigue Fract. Eng. Mater. Struct., Volume 32 (2009), pp. 292-309
[4] Three reliability methods for fatigue crack growth, Eng. Fract. Mech., Volume 53 (1996), pp. 733-752
[5] A diffusion model for fatigue crack growth, Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci., Volume 367 (1979), pp. 47-58
[6] Coupled reliability and boundary element model for probabilistic fatigue life assessment in mixed mode crack propagation, Int. J. Fatigue, Volume 32 (2010), pp. 1823-1834
[7] Cumulative fatigue damage dynamic interference statistical model, Int. J. Fatigue, Volume 17 (1995), pp. 559-566
[8] Application of inverse first-order reliability method for probabilistic fatigue life prediction, Probab. Eng. Mech., Volume 26 (2011), pp. 148-156
[9] Multiaxial fatigue limit for defective materials: mechanisms and experiments, Acta Mater., Volume 52 (2004), pp. 3911-3920
[10] Fatigue initiation in C35 steel: influence of loading and defect, Int. J. Fatigue, Volume 32 (2010), pp. 780-787
[11] Influence of casting defects on the behaviour of cast aluminium AS7G06-T6, Int. J. Fatigue, Volume 63 (2014), pp. 97-109
[12] Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusion, Elsevier Science Ltd, Oxford, UK, 2002
[13] Effect of large hydrostatic pressure on the tensional fatigue strength of fan alloy steel, Proceedings of International Conference on Fatigue of Metals, Institution of Mechanical Engineers, London, UK, 1956, pp. 138-149
[14] Multiaxial fatigue limit criterion for defective materials, Eng. Fract. Mech., Volume 73 (2006), pp. 112-133
[15] Fatigue limit assessment for defective materials based on affected depth, Metall. Res. Technol., Volume 114 (2017), p. 505
[16] Fiabilité des structures: couplage mécano-fiabiliste statique, Hermès, Paris, 2005
[17] Moment methods for structural reliability, Struct. Saf., Volume 23 (2001), pp. 47-75
[18] On computation methods for structural reliability analysis, Struct. Saf., Volume 9 (1990), pp. 79-96
[19] La pratique des essais de fatigue, Pyc Livres, Paris, 1982 ([in French]) (ISBN: 2-85330-053-6)
[20] Statistical distribution functions and fatigue of structures, Int. J. Fatigue, Volume 27 (2005), pp. 1031-1039
[21] La fatigue des matériaux et des structures, Hermès, Paris, 1997 ([in French])
[22] Probabilistic high cycle fatigue behaviour prediction based on global approach criteria, Int. J. Fatigue, Volume 29 (2007), pp. 209-221
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