An analytical-based approach for simulating fatigue crack growth in round bars
Source abstract
Abstract
This paper presents an analytical-based approach to simulate fatigue growth of surface cracks in round bars subjected to cyclic tension and/or bending. The proposed approach assumes a part-elliptical crack front shape, and it is capable to incorporate plasticity-induced crack closure models. In addition, it is mesh-insensitive, easy to implement, and much faster than the numerical methods which are currently utilised for the same purpose. In the beginning, it is developed, in orthogonal elliptical coordinates, a governing equation describing the crack shape evolution. Then, the governing equation is extended to incorporate plasticity-induced crack closure effects. Further, it is investigated the main parameters affecting fatigue crack growth in round bars, in particular, the initial crack length, the loading conditions and, the material properties. Finally, the outcomes of fatigue crack growth simulations based on the proposed approach are compared with published experimental and theoretical studies. Overall, an excellent agreement can be observed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Load-Bearing Analysis · Structural Behavior of Reinforced Concrete
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References (40)
Show source-provided references
1. Antunes FV, Branco B, Costa JD, Rodrigues DM (2010) Plasticity induced crack closure in middle-crack tension specimen: numerical versus experimental. Fatigue Fract Eng Mater Struct 33:673–68610.1111/j.1460-2695.2010.01479.x ↗
2. Berto F, Lazzarin KA (2011) On higher order terms and out-of-plane singular mode. Mech Mater 43:332–34110.1016/j.mechmat.2011.03.004 ↗
3. Berto F, Lazzarin P, Wang CH (2004) Three-dimensional linear elastic distributions of stress and strain energy density ahead of V-shaped notches in plates of arbitrary thickness. Int J Fract 127:265–28210.1023/B:FRAC.0000036846.23180.4d ↗
4. Branco R, Antunes FV, Costa JD, Yang FP, Kuang ZB (2012) Determination of the Paris law constants in round bars from beach marks on fracture surfaces. Eng Fract Mech 96:96–10610.1016/j.engfracmech.2012.07.009 ↗
5. Branco R, Costa JD, Antunes FV (2014) Fatigue behaviour and life prediction of lateral notched round bars under bending-torsion loading. Eng Fract Mech 119:66–8410.1016/j.engfracmech.2014.02.009 ↗
6. Branco R, Antunes FV, Costa JD (2015) A review on 3D-FE adaptive remeshing techniques for crack growth modelling. Eng Fract Mech 141:170–19510.1016/j.engfracmech.2015.05.023 ↗
7. Camas D, Garcia-Manrique J, Perez-Garcia F, Gonzalez-Herrera A (2020) Numerical modelling of three-dimensional fatigue crack closure: Plastic wake simulation. Int J Fatigue 131:10534410.1016/j.ijfatigue.2019.105344 ↗
8. Carpinteri A (1992) Elliptical-arc surface cracks in round bars. Fatigue Fract Eng Mater Struct 15:1141–115310.1111/j.1460-2695.1992.tb00039.x ↗
9. Carpinteri A (1993) Shape change of surface cracks in round bars under cyclic axial loading. Int J Fatigue 15:21–2610.1016/0142-1123(93)90072-X ↗
10. Carpinteri A, Brighenti R, Vantadori S (2010) Influence of the cold-drawing process on fatigue crack growth of a V-notched round bar. Int J Fatigue 32:1136–114510.1016/j.ijfatigue.2009.12.014 ↗
11. Caspers M, Mattheck C, Munz D (1990) Propagation of surface cracks in notched and unnotched rods. Surf Crack Growth 1060:365–389
12. Codrington J, Kotousov A (2009) A crack closure model of fatigue crack growth in plates of finite thickness under small-scale yielding conditions. Mech Mater 41:165–17310.1016/j.mechmat.2008.10.002 ↗
13. Couroneau N, Royer J (1998) Simplified model for the fatigue crack growth analysis of surface cracks in round bars under mode I. Int J Fatigue 20:711–71810.1016/S0142-1123(98)00037-1 ↗
14. Elber W (1970) Fatigue crack closure under cyclic tension. Eng Fract Mech 2:37–4510.1016/0013-7944(70)90028-7 ↗
15. Elber W (1971). The significance of fatigue crack closure. Damage Tolerance in Aircraft Structures, ASTM STP 486, America Society for Testing and Materials10.1520/STP26680S ↗
16. Garcia-Manrique J, Camas D, Parrón-Rubio ME, Gonzalez-Herrera A (2018) Corrections in numerical methodology to evaluate plasticity induced crack closure along the thickness. Theor Appl Fract Mech 97:215–22310.1016/j.tafmec.2018.08.004 ↗
17. He Z, Kotousov A, Berto F (2015) Effect of vertex singularities on stress intensities near plate free surfaces. Fatigue Fract Eng Mater Struct 38:860–86910.1111/ffe.12294 ↗
18. He Z, Kotousov A, Berto F, Branco R (2016) A brief review of three-dimensional effects near crack front. Phys Mesomech 19:6–2010.1134/S1029959916010021 ↗
19. Hobbs JW, Burguete RL, Heyes PF, Patterson EA (2000) The effect of eccentric loading on the fatigue performance of high-tensile bolts. Int J Fatigue 22:531–53810.1016/S0142-1123(00)00004-9 ↗
20. Hou CY (2008) Simultaneous simulation of closure behavior and shape development of fatigue surface cracks. Int J Fatigue 30:1036–104610.1016/j.ijfatigue.2007.08.020 ↗
21. James LA, Mills WJ (1998) Review and synthesis of stress intensity factor solutions applicable to cracks in bolts. Eng Fract Mech 30:641–65410.1016/0013-7944(88)90156-7 ↗
22. Kotousov A, Zakavi B, Khanna A, Branco R (2018) On the analysis of structures with cracks of elliptical and part-elliptical shapes. Theor Appl Fract Mech 98:149–15610.1016/j.tafmec.2018.09.013 ↗
23. Kotousov A, Khanna A, Branco R, Jesus A, Correia JA (2019) Review of current progress in 3D linear elastic fracture mechanics. Mech Fatigue Metals Struct Integrity 7:125–13110.1007/978-3-030-13980-3_16 ↗
24. Levan A, Royer J (1993) Part-circular surface cracks in round bars under tension, bending and twisting. Int J Fract 61:71–9910.1007/BF00032340 ↗
25. Lin XB, Smith RA (1997) Shape growth simulation of surface cracks in tension fatigued round bars. Int J Fatigue 19:461–46910.1016/S0142-1123(97)00012-1 ↗
26. Lin XB, Smith RA (1998) Fatigue growth simulation for cracks in notched and unnotched round bars. Int J Mech Sci 40:405–41910.1016/S0020-7403(97)00039-8 ↗
27. Newman JC, Raju IS (1984) Prediction of fatigue crack growth patterns andlives in three-dimensional cracked bodies. In: 6th International conference on fracture, December. New Delhi, pp 4–1010.1016/B978-1-4832-8440-8.50151-4 ↗
28. Paris PC, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng Trans Am Soc Mech Eng Ser D 85:528–53410.1115/1.3656900 ↗
29. Pook LP (2013) A 50-year retrospective review of three-dimensional effects at cracks and sharp notches. Fatigue Fract Eng Mater Struct 36:699–72310.1111/ffe.12074 ↗
30. Salah AS, Lovegrove JM (1981) Stress intensity factors for fatigue cracking of round bars. Int J Fatigue 3:117–12310.1016/0142-1123(81)90059-1 ↗
31. Shen H, Guo W (2005) 3D constraint effect on 3D fatigue crack propagation. Int J Fatigue 27:617–62310.1016/j.ijfatigue.2004.12.005 ↗
32. Shin CS, Cai CQ (2004) Experimental and finite element analyses on stress intensity factors of elliptical surface crack in a circular shaft under tension and bending. Int J Fract 129:239–26410.1023/B:FRAC.0000047784.23236.7d ↗
33. Toribio J, Matos JC, González B, Escuadra J (2009) Numerical modelling of crack shape evolution for surface flaws in round bars under tensile loading. Eng Fail Anal 16:618–63010.1016/j.engfailanal.2008.02.014 ↗
34. Toribio J, Matos JC, González B, Escuadra J (2014) Numerical modelling of cracking path in round bars subjected to cyclic tension and bending. Int J Fatigue 58:20–2710.1016/j.ijfatigue.2013.03.017 ↗
35. Yang FP, Kuang ZB, Shlyannikov VN (2006) Fatigue crack growth for straight-fronted edge crack in a round bar. Int J Fatigue 28:431–43710.1016/j.ijfatigue.2005.07.036 ↗
36. Yu P, Guo W (2012) An equivalent thickness conception for prediction of surface fatigue crack growth life and shape evolution. Eng Fract Mech 93:65–7410.1016/j.engfracmech.2012.06.008 ↗
37. Zakavi B, Kotousov A, Khanna A, Branco R (2019) A new method for analysis of part-elliptical surface cracks in structures subjected to fatigue loading. Theor Appl Fract Mech 103:10225810.1016/j.tafmec.2019.102258 ↗
38. Zakavi B, Kotousov A, Branco R (2021a) Overview of three-dimensional linear-elastic fracture mechanics. Int J Fract. https://doi.org/10.1007/s10704-021-00528-910.1007/s10704-021-00528-9 ↗
39. Zakavi B, Kotousov A, Branco R (2021b) The evaluation of front shapes of through-the-thickness fatigue cracks. Metals 11:40310.3390/met11030403 ↗
40. Zhu SP, Yu ZY, Correia J, Jesus A, Berto F (2018) Evaluation and comparison of critical plane criteria for multiaxial fatigue analysis of ductile and brittle materials. Int J Fat 112:279–28810.1016/j.ijfatigue.2018.03.028 ↗