journal article·2018-10Open access

A diffusion-based approach for modelling crack tip behaviour under fatigue-oxidation conditions

R. J. Kashinga, L. G. Zhao, V. V. Silberschmidt, R. Jiang, P. A. S. Reed

International Journal of Fracture· Volume 213· Issue 2

Abstract

Modelling of crack tip behaviour was carried out for a nickel-based superalloy subjected to high temperature fatigue in a vacuum and air. In a vacuum, crack growth was entirely due to mechanical deformation and thus it was sufficient to use accumulated plastic strain as a criterion. To study the strong effect of oxidation in air, a diffusion-based approach was applied to investigate the full interaction between fatigue and oxygen penetration at a crack tip. Penetration of oxygen into the crack tip induced a local compressive stress due to dilatation effect. An increase in stress intensity factor range or dwell times imposed at peak loads resulted in enhanced accumulation of oxygen at the crack tip. A crack growth criterion based on accumulated levels of oxygen and plastic strain at the crack tip was subsequently developed to predict the crack growth rate under fatigue-oxidation conditions. The predicted crack-growth behaviour compared well with experimental results.
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Research context

OpenAlex topics: High Temperature Alloys and Creep · Fatigue and fracture mechanics · Nuclear Materials and Properties

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References (32)

Show source-provided references
1. Abdelaziz Y, Hamouine A (2008) A survey of the extended finite element. Comput Struct 86(11–12):1141–115110.1016/j.compstruc.2007.11.001 ↗
2. Azari Z, Abbadi M, Moustabchir H (2008) The influence of fatigue cycling on the oxidation kinetics and crack initiation of a Cr–Mo steel. Int J Fatigue 30(3):517–52710.1016/j.ijfatigue.2007.03.011 ↗
3. Bensch M, Konrad C, Fleischmann E, Rae CMF, Glatzel U (2013) Influence of oxidation on near-surface $${\upgamma }\prime $$ γ ′ fraction and resulting creep behaviour of single crystal Ni-base superalloy M247LC SX. Mater Sci Eng A 577:179–18810.1016/j.msea.2013.04.032 ↗
4. Bensch M, Preußner J, Hüttner R, Obigodi G, Virtanen S, Gabel J, Glatzel U (2010) Modelling and analysis of the oxidation influence on creep behaviour of thin-walled structures of the single-crystal nickel-base superalloy René N5 at 980 C. Acta Mater 58(5):1607–161710.1016/j.actamat.2009.11.004 ↗
5. Bower A (2009) Applied mechanics of solids. CRC Press, New York10.1201/9781439802489 ↗
6. Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5:247–30210.1016/0749-6419(89)90015-6 ↗
7. Christ H-J, Wackerman K, Krupp U (2016) On the mechanism of dynamic embrittlement and its effect on fatigue crack propagation in IN718 at $$650\circ \text{ C }$$ 650 ∘ C . Procedia Struct Integr 2:557–56410.1016/j.prostr.2016.06.072 ↗
8. Elkadiri H, Horstemeyer M, Bammann D (2008) A theory for stress-driven interfacial damage upon cationic-selective oxidation of alloys. J Mech Phys Solids 56(12):3392–341510.1016/j.jmps.2008.09.001 ↗
9. Encinas-Oropesa A, Drew G, Hardy M, Leggett A, Nicholls JR, Simms NJ (2008) Effects of oxidation and hot corrosion in a nickel disc alloy. In: $$11$$ 11 th international symposium on superalloys, Champion, PA, USA, pp 609–618 September 200810.7449/2008/Superalloys_2008_609_618 ↗
10. Everitt S, Starink M, Reed P (2008) Temperature and dwell dependence of fatigue crack propagation in various heat treated turbine disc alloys. Miner Met Mater Soc 10:741–750
11. Farukh F, Zhao LG, Jiang R, Reed P, Proprentner D, Shollock B (2015) Fatigue crack growth in a nickel-based superalloy at elevated temperature—experimental studies, viscoplasticity modelling and XFEM predictions. Mech Adv Mater Modern Process 1:110.1186/s40759-015-0003-4 ↗
12. He X, Zhang Y, Shi H, Gu J, Li C, Kadau K, Luesebrink O (2014) Influence of orientation and temperature on the fatigue crack growth of a nickel-based directionally solidified superalloy. Mater Sci Eng A 618:153–16010.1016/j.msea.2014.09.007 ↗
13. Huseyin S, Wei S (1989) The significance of crack closure under high temperature fatigue crack growth with hold periods. Eng Fract Mech 33(3):371–38810.1016/0013-7944(89)90087-8 ↗
14. Jiang R, Bull D, Proprentner D, Shollock B, Reed PAS (2017) Effects of oxygen-related damage on dwell-fatigue crack propagation in a P/M Ni-based superalloy: from 2D–3D assessment. Int J Fatigue 99:175–18610.1016/j.ijfatigue.2017.03.003 ↗
15. Jiang R, Everitt S, Lewandowski M, Gao N, Reed PAS (2014) Grain size effects in a Ni-based turbine disc alloy in the time and cycle dependent crack growth regimes. Int J Fatigue 62:217–22710.1016/j.ijfatigue.2013.07.014 ↗
16. Jiang R, Reed PAS (2016) Critical assessment 21: oxygen-assisted fatigue crack propagation in turbine disc superalloys. Mater Sci Technol 32(5):401–40610.1080/02670836.2016.1148227 ↗
17. Karabela A, Zhao LG, Lin B, Tong J, Hardy MC (2013) Oxygen diffusion and crack growth for a nickel-based superalloy under fatigue-oxidation conditions. Mater Sci Eng A 567:46–5710.1016/j.msea.2012.12.088 ↗
18. Karabela A, Zhao LG, Tong J, Simms NJ, Nicholls JR, Hardy MC (2011) Effects of cyclic stress and temperature on oxidation damage of a nickel-based superalloy. Mater Sci Eng A 528(19–20):6194–620210.1016/j.msea.2011.04.029 ↗
19. Karihaloo B, Xiao Q (2003) Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review. Comput Struct 528(19–20):6194–6202
20. Kitaguchi H, Li H, Evans H, Ding R, Jones I, Baxter G, Bowen P (2013) Oxidation ahead of a crack tip in an advanced Ni-based superalloy. Acta Mater 61(6):1968–198110.1016/j.actamat.2012.12.017 ↗
21. Kiyak Y, Fedelich B, May T, Pfennig A (2008) Simulation of crack growth under low cycle fatigue at high temperature in a single crystal superalloy. Eng Fract Mech 75(8):2418–244310.1016/j.engfracmech.2007.08.002 ↗
22. Larcht’e F, Cahn J (1982) The effect of self-stress on diffusion in solids. Acta Metall 30(10):1835–184510.1016/0001-6160(82)90023-2 ↗
23. Leo Prakash DG, Walsh MJ, Maclachlan D, Korsunsky AM (2009) Crack growth micro-mechanisms in the IN718 alloy under the combined influence of fatigue, creep and oxidation. Int J Fatigue 31(11–12):1966–197710.1016/j.ijfatigue.2009.01.023 ↗
24. MacLachlan DW, Knowles DM (2001) Fatigue behaviour and lifing of two single crystal superalloys. Fatigue Fract Eng Mater Struct 24(8):503–52110.1046/j.1460-2695.2001.00392.x ↗
25. Molins R, Hochstetter G, Chassaigne JC, Andrieu E (1997) Oxidation effects on the fatigue crack growth behaviour of alloy 718 at high temperature. Acta Mater 45(2):663–67410.1016/S1359-6454(96)00192-9 ↗
26. Pfaendtner JA, McMahon CJ Jr (2001) Oxygen-induced intergranular cracking of a Ni-base alloy at elevated temperatures—an example of dynamic embrittlement. Acta Mater 49(16):3369–337710.1016/S1359-6454(01)00005-2 ↗
27. Stephenson G (1988) Deformation during interdiffusion. Acta Metall 36(10):2663–268310.1016/0001-6160(88)90114-9 ↗
28. Suo Z, Kubair D, Evans A, Clarke D, Tolpygo V (2003) Stresses induced in alloys by selective oxidation. Acta Mater 51(4):959–97410.1016/S1359-6454(02)00499-8 ↗
29. Viskari L, Hörnqvist M, Moore K, Cao Y, Stiller K (2013) Intergranular crack tip oxidation in a Ni-base superalloy. Acta Mater 61(10):3630–363910.1016/j.actamat.2013.02.050 ↗
30. Zhao LG (2011) Modeling of oxygen diffusion along grain boundaries in a nickel-based superalloy. J Eng Mater Technol 133(3):3100210.1115/1.4003777 ↗
31. Zhao LG, Tong J, Hardy MC (2010) Prediction of crack growth in a nickel-based superalloy under fatigue-oxidation conditions. Eng Fract Mech 77(6):925–93810.1016/j.engfracmech.2010.02.005 ↗
32. Zhao LG, Tong J (2008) A viscoplastic study of crack-tip deformation and crack growth in a nickel-based superalloy at elevated temperature. J Mech Phys Solids 56(12):3363–337810.1016/j.jmps.2008.09.006 ↗