Have a personal or library account? Click to login
A Model for Fatigue Crack Growth in the Paris Regime under the Variability of Cyclic Hardening and Elastic Properties Cover

A Model for Fatigue Crack Growth in the Paris Regime under the Variability of Cyclic Hardening and Elastic Properties

Fatigue of Aircraft Structures
Volume 2017 (2017): Issue 9 (December 2017)
By: Tayeb Kebir,  Mohamed Benguediab and  Abdellatif Imad  
Open Access
|Aug 2018

References

  1. [1] N. Vikram and R. Kumar, “Review on fatigue-crack growth and finite element method,” Int. J. Sci. Eng. Res., vol. 4, no. 4, pp. 833–843, 2013.
    Search in Google ScholarBack to article
  2. [2] F. Bergner, G. Zouhar, and G. Tempus, “The material-dependent variability of fatigue crack growth rates of aluminium alloys in the Paris regime,” Int. J. Fatigue, vol. 23, pp. 383–394, 2001.10.1016/S0142-1123(01)00006-8
    Search in Google ScholarBack to article
  3. [3] J. H. Melson, “Fatigue crack growth analysis with finite element methods and a monte carlo simulation,” Thesis Master, Faculty of the Virginia Polytechnic Institute, 2014.
    Search in Google ScholarBack to article
  4. [4] T. Mann, “The influence of mean stress on fatigue crack propagation in aluminium alloys,” Int. J. Fatigue, vol. 29, no. 8, pp. 1393–1401, 2007.
    Search in Google ScholarBack to article
  5. [5] A. E. M. Alaoui, “Influence du chargement sur la propagation en fatigue de fissures courtes dans un acier de construction navale,” Thesis Doctor, University of Metz, 2005.
    Search in Google ScholarBack to article
  6. [6] K. Alrubaie, E. Barroso, and L. Godefroid, “Fatigue crack growth analysis of pre-strained 7475–T7351 aluminum alloy,” Int. J. Fatigue, vol. 28, no. 8, pp. 934–942, Aug. 2006.10.1016/j.ijfatigue.2005.09.008
    Search in Google ScholarBack to article
  7. [7] J.-K. Kim and D.-S. Shim, “The variation in fatigue crack growth due to the thickness effect,” Int. J. Fatigue, vol. 22, pp. 611–618, 2000.10.1016/S0142-1123(00)00032-3
    Search in Google ScholarBack to article
  8. [8] J. R. Mohanty, B. B. Verma, and P. K. Ray, “Prediction of fatigue crack growth and residual life using an exponential model: Part I (constant amplitude loading),” Int. J. Fatigue, vol. 31, pp. 418–424, 2009.10.1016/j.ijfatigue.2008.07.015
    Search in Google ScholarBack to article
  9. [9] J. C. Newman, “The merging of fatigue and fracture mechanics concepts: a historical perspective,” Prog. Aerosp. Sci., vol. 34, no. 5–6, pp. 347–390, 1998.10.1016/S0376-0421(98)00006-2
    Search in Google ScholarBack to article
  10. [10] M. Vormwald, “Fatigue crack propagation under large cyclic plastic strain conditions,” Procedia Mater. Sci., vol. 3, pp. 301–306, 2014.10.1016/j.mspro.2014.06.052
    Search in Google ScholarBack to article
  11. [11] P. Johansingh, C. Mukhopadhyay, T. Jayakumar, S. Mannan, and B. Raj, “Understanding fatigue crack propagation in AISI 316 (N) weld using Elber’s crack closure concept: Experimental results from GCMOD and acoustic emission techniques,” Int. J. Fatigue, vol. 29, no. 12, pp. 2170–2179, Dec. 2007.
    Search in Google ScholarBack to article
  12. [12] M. Vormwald, “Effect of cyclic plastic strain on fatigue crack growth,” Int. J. Fatigue, pp. 1–9, 2015.
    Search in Google ScholarBack to article
  13. [13] K. Prasad, V. Kumar, K. Bhanu Sankara Rao, and M. Sundararaman, “Effects of crack closure and cyclic deformation on thermomechanical fatigue crack growth of a Near α Titanium Alloy,” Metall. Mater. Trans. A, vol. 47A, no. 7, pp. 3713–3730, Jul. 2016.
    Search in Google ScholarBack to article
  14. [14] H. L. Ewalds, “The effect of environment on fatigue crack closure in Aluminium alloys,” Eng. Fract. Mechamics, vol. 13, pp. 1001–1006, 1980.
    Search in Google ScholarBack to article
  15. [15] J. R. Lloyd, “The effect of residual stress and crack closure on fatigue crack growth,” University of Wollongong Thesis Collection, 1999.
    Search in Google ScholarBack to article
  16. [16] L. Lawson, E. Y. Chen, and M. Meshii, “Near-threshold fatigue: a review,” Int. J. Fatigue, vol. 21, pp. 15–34, 1999.10.1016/S0142-1123(99)00053-5
    Search in Google ScholarBack to article
  17. [17] P. Pao, H. Jones, S. Cheng, and C. Feng, “Fatigue crack propagation in ultrafine grained Al–Mg alloy,” Int. J. Fatigue, vol. 27, no. 10–12, pp. 1164–1169, Oct. 2005.
    Search in Google ScholarBack to article
  18. [18] T. Hanlon, E. D. Tabachnikova, and S. Suresh, “Fatigue behavior of nanocrystalline metals and alloys,” Int. J. Fatigue, vol. 27, no. 10–12, pp. 1147–1158, 2005.
    Search in Google ScholarBack to article
  19. [19] K. Pandey and S. Chand, “An energy based fatigue crack growth model,” Int. J. Fatigue, vol. 25, no. 8, pp. 771–778, Aug. 2003.10.1016/S0142-1123(03)00049-5
    Search in Google ScholarBack to article
  20. [20] P. J. Huffman, “A strain energy based damage model for fatigue crack initiation and growth,” Int. J. Fatigue, vol. 88, pp. 197–204, 2016.10.1016/j.ijfatigue.2016.03.032
    Search in Google ScholarBack to article
  21. [21] N. W. Klingbeil, “A total dissipated energy theory of fatigue crack growth in ductile solids,” Int. J. Fatigue, vol. 25, pp. 117–128, 2003.10.1016/S0142-1123(02)00073-7
    Search in Google ScholarBack to article
  22. [22] S. C. Wu, Z. W. Xu, C. Yu, O. L. Kafka, and W. K. Liu, “A physically short fatigue crack growth approach based on low cycle fatigue properties,” Int. J. Fatigue, vol. 103, pp. 185–195, Oct. 2017.10.1016/j.ijfatigue.2017.05.006
    Search in Google ScholarBack to article
  23. [23] A. Noroozi, G. Glinka, and S. Lambert, “A two parameter driving force for fatigue crack growth analysis,” Int. J. Fatigue, vol. 27, no. 10–12, pp. 1277–1296, Oct. 2005.
    Search in Google ScholarBack to article
  24. [24] A. Noroozi, G. Glinka, and S. Lambert, “A study of the stress ratio effects on fatigue crack growth using the unified two-parameter fatigue crack growth driving force,” Int. J. Fatigue, vol. 29, no. 9–11, pp. 1616–1633, 2007.
    Search in Google ScholarBack to article
  25. [25] R. C. Dimitriu and H. K. D. H. Bhadeshia, “Fatigue crack growth rate model for metallic alloys,” Mater. Des., vol. 31, pp. 2134–2139, 2010.
    Search in Google ScholarBack to article
  26. [26] J. C. Radon, “A model for fatigue crack growth in a threshold region,” Int. J. Fatigue, vol. 4, no. 3, pp. 161–166, 1982.10.1016/0142-1123(82)90044-5
    Search in Google ScholarBack to article
  27. [27] K. M. Lal and S. B. L. Garg, “A fatigue crack propagation model for strain hardening materials,” Eng. Fract. Mechamics, vol. 9, pp. 939–949, 1977.10.1016/0013-7944(77)90014-5
    Search in Google ScholarBack to article
  28. [28] B. Tomkins, “Fatigue crack propagation – an analysis,” Phil Mag, vol. 18, no. 155, pp. 1041–1066, 1968.
    Search in Google ScholarBack to article
  29. [29] N. A. Fleck, K. J. Kang, and M. F. Ashby, “The cyclic properties of engineering materials,” Acta Metall. Materalia, vol. 42, pp. 365–381, 1994.10.1016/0956-7151(94)90493-6
    Search in Google ScholarBack to article
  30. [30] K. K. Shi, L. X. Cai, S. Qi, and C. Bao, “Prediction of fatigue crack growth based on low cycle fatigue properties,” Eng. Fract. Mech., pp. 1–18, 2013.
    Search in Google ScholarBack to article
  31. [31] K. K. Shi, L. X. Cai, L. Chen, S. C. Wu, and C. Bao, “A prediction model for fatigue crack growth using effective cyclic plastic zone and low cycle fatigue properties,” Int. J. Fatigue, vol. 158, pp. 209–219, Apr. 2016.10.1016/j.engfracmech.2016.02.046
    Search in Google ScholarBack to article
  32. [32] A. Tzamtzis and A. T. Kermanidis, “Fatigue crack growth prediction in 2xxx AA with friction stir weld HAZ properties,” Frat. ed Integrità Strutt., vol. 35, pp. 396–404, 2016.10.3221/IGF-ESIS.35.45
    Search in Google ScholarBack to article
  33. [33] S. K. Paul and S. Tarafder, “Cyclic plastic deformation response at fatigue crack tips,” Int. J. Press. Vessel. Pip., vol. 101, pp. 81–90, 2013.10.1016/j.ijpvp.2012.10.007
    Search in Google ScholarBack to article
  34. [34] F. V. Antunes, R. Branco, P. A. Prates, and L. Borrego, “Fatigue crack growth modelling based on CTOD for the 7050-T6 alloy,” Fatigue Fract. Eng. Mater. Struct., vol. 40, no. 8, pp. 1309–1320, Aug. 2017.
    Search in Google ScholarBack to article
  35. [35] B. Ould Chikh, A. Imad, and M. Benguediab, “Influence of the cyclic plastic zone size on the propagation of the fatigue crack in case of 12NC6 steel,” Comput. Mater. Sci., vol. 43, pp. 1010–1017, 2008.
    Search in Google ScholarBack to article
  36. [36] S. C. Forth, C. W. Wright, and W. M. Johnston, “7075-T6 and 2024-T351 aluminum alloy fatigue crack growth rate data,” NASA Cent. Aerosp. Inf., no. 213907, pp. 1–19, 2005.
    Search in Google ScholarBack to article
  37. [37] A. Tzamtzis and A. T. Kermanidis, “Improvement of fatigue crack growth resistance by controlled overaging in 2024-T3 aluminium alloy,” Fatigue Fract. Eng. Mater. Struct., vol. 0, pp. 1–13, 2014.10.1111/ffe.12163
    Search in Google ScholarBack to article
  38. [38] A. Fatemi, A. Plaseied, A. K. Khosrovaneh, and D. Tanner, “Application of bi-linear log-log S-N model to strain-controlled fatigue data of aluminum alloys and its effect on life predictions,” Int. J. Fatigue, vol. 27, pp. 1040–1050, 2005.
    Search in Google ScholarBack to article
  39. [39] S. Mikheevskiy, “Elastic-plastic fatigue crack growth analysis under variable amplitude loading spectra,” Thesis Doctor, University of Waterloo of Canada, 2009.10.1016/j.ijfatigue.2009.02.035
    Search in Google ScholarBack to article
  40. [40] J. T. P. Castro, Fatigue - Volume II - Propagation of cracks, thermal and stochastic effects. 2009.
    Search in Google ScholarBack to article
  41. [41] J. Colin, “Deformation history and load sequence effects on cumulative fatigue damage and life predictions,” Thesis Doctor, University of Toledo Digital Repository, 2010.
    Search in Google ScholarBack to article
  42. [42] A. Saoudi, “Prédiction de la rupture par fatigue dans les pièces automobiles en alliages aluminium,” Thesis Doctor, University of Quebec of Chicoutimi, 2008.10.1522/030032462
    Search in Google ScholarBack to article
  43. [43] A. H. Noroozi, G. Glinka, and S. Lambert, “Prediction of fatigue crack growth under constant amplitude loading and a single overload based on elasto-plastic crack tip stresses and strains,” Eng. Fract. Mech., vol. 75, no. 2, pp. 188–206, 2008.10.1016/j.engfracmech.2007.03.024
    Search in Google ScholarBack to article
  44. [44] ASTM E 647-00, “Standard test method for measurement of fatigue crack growth rates,” ASTM Int., vol. 3, pp. 1–43, 2001.
    Search in Google ScholarBack to article
  45. [45] C. Jingjie, H. Yi, D. Leilei, and L. Yugang, “A new method for cyclic crack-tip plastic zone size determination under cyclic tensile load,” Eng. Fract. Mech., vol. 126, pp. 141–154, 2014.10.1016/j.engfracmech.2014.05.001
    Search in Google ScholarBack to article
  46. [46] D. Chen, K. Shirato, M. W. Barsoum, T. El-Raghy, and R. O. Ritchie, “Cyclic fatigue-crack growth and fracture properties in Ti3SiC2 ceramics at elevated temperatures,” J. Am. Ceram. Soc., vol. 84, pp. 2914–2920, 2001.
    Search in Google ScholarBack to article
  47. [47] F. Khelil, B. Aour, M. Belhouari, and N. Benseddiq, “Modeling of fatigue crack propagation in aluminum alloys using an energy based approach,” Eng. Technol. Appl. Sci. Res., vol. 3, pp. 488–496, 2013.10.48084/etasr.329
    Search in Google ScholarBack to article
  48. [48] S. Ray and J. M. C. Kishen, “Energy based fatigue crack propagation model for plain concrete,” Fract. Mech. Concr. Concr. Struct., vol. 8, pp. 978–989, 2010.
    Search in Google ScholarBack to article
  49. [49] S. B. Chakrabortty, “A model relating low cycle fatigue properties and microstructure to fatigue crack propagation rates,” Fatigue Eng. Mater. Struct., vol. 2, pp. 331–344, 1979.10.1111/j.1460-2695.1979.tb01091.x
    Search in Google ScholarBack to article
  50. [50] J. Wasé and E. Heier, “Fatigue crack growth thresholds—the influence of Young’s modulus and fracture surface roughness,” Int. J. Fatigue, vol. 20, no. 10, pp. 737–742, 1998.10.1016/S0142-1123(98)00034-6
    Search in Google ScholarBack to article
  51. [51] S. Groh, S. Olarnrithinun, W. A. Curtin, A. Needleman, V. S. Deshpande, and E. Van der Giessen, “Fatigue crack growth from a cracked elastic particle into a ductile matrix,” Philos. Mag., vol. 88, no. 30–32, pp. 3565–3583, Oct. 2008.
    Search in Google ScholarBack to article
  52. [52] Y. Xiang, Z. Lu, and Y. Liu, “Crack growth-based fatigue life prediction using an equivalent initial flaw model. Part I: Uniaxial loading,” Int. J. Fatigue, vol. 32, no. 2, pp. 341–349, 2010.10.1016/j.ijfatigue.2009.07.011
    Search in Google ScholarBack to article
  53. [53] M. Ndiaye, S. Gaye, Z. Azari, and G. Pluvinage, “Propagation de fissures en fatigue par chocs,” J. des Sci., vol. 6, no. 1, pp. 22–29, 2006.
    Search in Google ScholarBack to article
  54. [54] B. Ould Chikh, J. M. N. A. Imad, and M. Benguediab, “Influence de la variabilité des paramètres de la relation de Paris sur la prédiction de la durée de vie en fatigue,” vol. 4, pp. 27–31, 2007.
    Search in Google ScholarBack to article
  55. [55] Z. Gao, W. Sun, Y. Wang, and F. Zhang, “Fatigue crack growth properties of typical pressure vessel steels at high temperature,” in 18th International Conference on Structural Mechanics in Reactor Technology, 2005, pp. 1754–1761.
    Search in Google ScholarBack to article
DOI: https://doi.org/10.1515/fas-2017-0010 | Journal eISSN: 2300-7591 | Journal ISSN: 2081-7738
Journal RSS Feed
Language: English
Page range: 117 - 135
Published on: Aug 9, 2018
Published by: ŁUKASIEWICZ RESEARCH NETWORK – INSTITUTE OF AVIATION
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
cyclic plastic strain,
elastic properties,
cyclic hardening parameters,
Young’s modulus,
variability,
crack tip,
fatigue crack growth,
constants of the Paris law,
Al-alloys
Related subjects:
Engineering,
Introductions and overviews,
Engineering, other

© 2018 Tayeb Kebir, Mohamed Benguediab, Abdellatif Imad, published by ŁUKASIEWICZ RESEARCH NETWORK – INSTITUTE OF AVIATION
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Previous articleVolume 2017 (2017): Issue 9 (December 2017)Next article