Two-parameter mechanistic model for the fatigue crack growth of metals

Tawqeer Zada


In this paper, a two-parameter mechanistic model for the fatigue crack growth has been developed. Fatigue failure is the major causes of mechanical structural failure. The fatigue failure progress in three stages crack initiation, crack growth and final failure. The fatigue crack growth has been modelled by different approaches, however these approaches are generally empirical. In this paper, a mechanistic fatigue crack growth model is proposed. The striation and its relation to the cyclic load is used for the model development. Scanning electronic microscope results are used to establish relation between striation and crack growth. The developed model is two-parameters. The model has been implemented and validated using experimental data from the literature. The model prediction is satisfactory in region II of the crack growth curve. However, in region I and region III the model deviates from experimental data. It is suggested to incorporate interaction of monotonic and cyclic loading in the mechanistic modelling for the fatigue growth.


Mechanistic, Fatigue, Striation, SEM, two-parameter.


Schijve, J. (2001). Fatigue of structures and materials. Netherlands, Dordrecht: KluwerAcademic Publishers.

Laseure, N., et al., Effects of variable amplitude loading on fatigue life. Sustainable construction sand design, 2015. 6(3).

Khan, R., et al., Effect of stress ratio or mean stress on fatigue delamination growth in composites: critical review. Composite Structures, 2015. 124: p. 214-227.

Shamasundar, S., et al., Finite Element Modeling of Crack initiation and Crack Growth.

Vethe, S., Numerical Simulation of Fatigue Crack Growth. 2012, Institutt for produktutvikling og materialer.

Beden, S., S. Abdullah, and A. Ariffin, Review of fatigue crack propagation models for metallic components. European Journal of Scientific Research, 2009. 28(3): p. 364-397.

Revankar, S.T., B. Wolf, and J.R. Roznic, Metal Fatigue Crack Growth Models. International Journal of Advanced Engineering Applications, Volume1, 2012(4): p. 85-91.

Ritchie, R., Near-threshold fatigue-crack propagation in steels. International Metals Reviews, 1979. 24(1): p. 205-230.

Broek, D., Some contributions of electron fractography to the theory of fracture. International Metallurgical Reviews, 1974. 19(1): p. 135-182.

Schweizer, C., et al., Mechanisms and modelling of fatigue crack growth under combined low and high cycle fatigue loading. International journal of fatigue, 2011. 33(2): p. 194-202.

Bian, L. and F. Taheri, Analytical modeling of fatigue crack propagation in metals coupled with elasto-plastic deformation. International journal of fracture, 2008. 153(2): p. 161-168.

Maierhofer, J., R. Pippan, and H.-P. Gänser, Modified NASGRO equation for physically short cracks. International Journal of fatigue, 2014. 59: p. 200-207.

Jiang, S., et al., An analytical model for fatigue crack propagation prediction with overload effect. Mathematical Problems in Engineering, 2014. 2014.

Nedbal, I., et al., Fractographic reconstitution of fatigue crack history–Part I. Fatigue & Fracture of Engineering Materials & Structures, 2008. 31(2): p. 164-176.

Laird, C. and G. Smith, Crack propagation in high stress fatigue. Philosophical Magazine, 1962. 7(77): p. 847-857.

Laird, C., The influence of metallurgical structure on the mechanisms of fatigue crack propagation, in Fatigue crack propagation. 1967, ASTM International.

Milella, P.P., Morphological Aspects of Fatigue Crack Formation and Growth, in Fatigue and Corrosion in Metals. 2013, Springer. p. 73-108.

Mills, W.J. and L.A. James, Effect of temperature on the fatigue-crack propagation behaviour of Inconel X‐750. Fatigue & Fracture of Engineering Materials & Structures, 1980. 3(2): p. 159-175.

Hertzberg, R.W., Deformation and Fracture Mechanics of Engineering Materials John Wiley and Sons. New York, 1996.

Klingele, H., Essential features in fatigue fractures and remarkable phenomena in fatigue crack growth. Fatigue Crack Topography 28 p(SEE N 85-24321 14-39), 1984.

Bathias, C. and R. Pelloux, Fatigue crack propagation in martensitic and austenitic steels. Metallurgical and Materials Transactions B, 1973. 4(5): p. 1265-1273.

Takeo, Y. and S. Kiyoshi, The effect of frequency on fatigue crack propagation rate and striation spacing in 2024-T3 aluminium alloy and SM-50 steel. Engineering Fracture Mechanics, 1976. 8(1): p. 81-88.

Benachour, M., N. Benachour, and M. Benguediab. Fractograpic Observations and Effect of Stress Ratio on Fatigue Striations Spacing in Aluminium Alloy 2024 T351. in Materials Science Forum. 2017.

Furukawa, K., Method for estimating service load from striation width and height. Materials Science and Engineering: A, 2000. 285(1): p. 80-84.

Lee, E., et al., Fatigue of 7075-T651 aluminum alloy under constant and variable amplitude loadings. International Journal of Fatigue, 2009. 31(11): p. 1858-1864.

Kearney, V. and R. Engle, Numerical analysis of crack propagation in cyclic loaded structures. Journal of basic Engineering, 1967. 89: p. 459-64.

Hörnqvist, M., T. Hansson, and O. Clevfors, Fatigue crack growth testing using varying R-ratios. Procedia Engineering, 2010. 2(1): p. 155-161.

Perez, N., Introduction to fracture mechanics, in Fracture Mechanics. 2017, Springer. p. 53-77.

Chang, T. and W. Guo, Effects of strain hardening and stress state on fatigue crack closure. International journal of fatigue, 1999. 21(9): p. 881-888.

Dubey, S., A. Soboyejo, and W. Soboyejo, An investigation of the effects of stress ratio and crack closure on the micromechanisms of fatigue crack growth in Ti-6Al-4V. Acta Materialia, 1997. 45(7): p. 2777-2787.

Oberg, E., et al., Machinery's handbook. Vol. 200. 2004: Industrial Press New York.

Toribio, J. and V. Kharin, Role of plasticity-induced crack closure in fatigue crack growth. Frattura ed Integritá Strutturale, 2013(25): p. 130.

Nedbal, I., et al., Fractographic reconstitution of fatigue crack history–Part II. Fatigue & Fracture of Engineering Materials & Structures, 2008. 31(2): p. 177-183.

Khan, R., R. Alderliesten, and R. Benedictus, Two-parameter model for delamination growth under mode I fatigue loading (Part B: Model development). Composites Part A: Applied Science and Manufacturing, 2014. 65: p. 201-210.

Suresh, S., Fatigue of materials. 1998: Cambridge university press.

Alderliesten, R., Analytical prediction model for fatigue crack propagation and delamination growth in Glare. International Journal of Fatigue, 2007. 29(4): p. 628-646.



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