International Journal of Engineering

International Journal of Engineering

Finite Element Analysis of Multiaxial Fatigue and Mixed-Mode Crack Growth in Inconel 600

Document Type : Original Article

Authors
1 School of Physics, Engineering & Computer Science, University of Hertfordshire, Hatfield AL10 9AB, UK
2 Department of Transport Equipment and Technology, Academy of Engineering, RUDN University, 6 Miklukho-Maklaya Street, Moscow, Russian Federation
Abstract
This study investigates the fatigue life prediction of Inconel 600 under multiaxial loading conditions as well as fatigue crack growth under mixed mode (I and II). Finite element simulations based on critical plane criteria were performed for fatigue analysis under combined tensile and shear loading in different non-proportional modes (i.e., phase difference between tensile and shear loads). To achieve this, fully reversed tensile stress with a maximum value of 480 MPa (mean stress: zero) was considered. Subsequently, a constant shear stress of 28 MPa was applied at different phase angles ranging from 0° to 90° in 10-degree intervals (i.e., 0°≤θ≤90°,∆θ=10° ). For all modes, hysteresis stress diagrams were extracted to investigate the cyclic behavior of the material. Furthermore, various fatigue damage models, including Fatemi-Socie, SWT, normal strain, and shear strain, were employed to assess the fatigue life of the samples under different loading modes using MSC software. The results showed that the Fatemi-Socie and shear strain criteria predict the shortest fatigue life for phase difference in the ranges of 0°-30° and 40°-90°, respectively. Therefore, selecting a more conservative criterion  is not feasible as it depends on the loading conditions. Additionally, it was found that the most critical conditions occurred at phase difference of 50° and 60°. Next, in order to numerically investigate the crack growth behavior, a semi-Arcan fixture model was used. Simulations were performed for four different loading modes (i.e., fixture settings), considering variations in the loading angle with respect to the longitudinal axis of the crack (0°, 30°, 60°, and 90°). Eventually, crack length graphs were extracted in terms of loading cycles. The results indicated that the lowest and highest crack growth rates occurred when the angle between loading and the longitudinal axis of the crack was 0° and 90°, respectively.

Graphical Abstract

Finite Element Analysis of Multiaxial Fatigue and Mixed-Mode Crack Growth in Inconel 600
Keywords

Subjects


  1. Nomoto H. Development in materials for ultra-supercritical (USC) and advanced ultra-supercritical (A-USC) steam turbines. Advances in steam turbines for modern power plants: Elsevier; 2017. p. 263-78.
  2. Leonard F. Study of stress corrosion cracking of alloy 600 in high temperature high pressure water: The University of Manchester (United Kingdom); 2010.
  3. Arghavan A, Reza Kashyzadeh K, Asfarjani AA. Investigating effect of industrial coatings on fatigue damage. Applied Mechanics and Materials. 2011;87:230-7. https://doi.org/10.4028/www.scientific.net/AMM.87.230
  4. Kashyzadeh KR, Ghorbani S. Comparison of some selected time-domain fatigue failure criteria dedicated for multi input random non-proportional loading conditions in industrial components. Engineering Failure Analysis. 2023;143:106907. https://doi.org/10.1016/j.engfailanal.2022.106907
  5. Fahmi A-TWK, Kashyzadeh KR, Ghorbani S. A comprehensive review on mechanical failures cause vibration in the gas turbine of combined cycle power plants. Engineering Failure Analysis. 2022;134:106094. https://doi.org/10.1016/j.engfailanal.2022.106094
  6. Reza Kashyzadeh K, Souri K. A short introduction of blade cooling mechanisms in old gas turbines with the aim of proper distribution of temperature profile. J Adv Therm Sci Res. 2023;10:98-111. https://doi.org/10.15377/2409-5826.2023.10.8
  7. Khalid Mohammed Ridha W, Reza Kashyzadeh K, Ghorbani S. Common failures in hydraulic Kaplan turbine blades and practical solutions. Materials. 2023;16(9):3303. https://doi.org/10.3390/ma16093303
  8. Kashyzadeh KR, Ghorbani S. High-cycle fatigue behavior and chemical composition empirical relationship of low carbon three-sheet spot-welded joint: An application in automotive industry. Int J Fatigue. 2023;2(1):1-8. https://doi.org/10.62676/p7x1cn02
  9. Reza Kashyzadeh K. Effects of axial and multiaxial variable amplitude loading conditions on the fatigue life assessment of automotive steering knuckle. Journal of Failure Analysis and Prevention. 2020;20(2):455-63. https://doi.org/10.1007/s11668-020-00841-w
  10. Abdollahnia H, Alizadeh Elizei MH, Reza Kashyzadeh K. Multiaxial fatigue life assessment of integral concrete bridge with a real-scale and complicated geometry due to the simultaneous effects of temperature variations and sea waves clash. Journal of Marine Science and Engineering. 2021;9(12):1433. https://doi.org/10.3390/jmse9121433
  11. Xu J, Shang D-G, Sun G-Q, Chen H, Liu E-T. Fatigue life prediction for GH4169 superalloy under multiaxial variable amplitude loading. Journal of Beijing University of Technology. 2012;38(10):1462-6.
  12. Kim H, Kim KS, Park H. Ratcheting behavior of Inconel 718 at 649° C under multiaxial loading. Journal of Solid Mechanics and Materials Engineering. 2010;4(1):39-50. https://doi.org/10.1299/jmmp.4.39
  13. McDowell DL. Simulation-based strategies for microstructure-sensitive fatigue modeling. Materials Science and Engineering: A. 2007;468:4-14. https://doi.org/10.1016/j.msea.2006.08.129
  14. Susmel L, Tovo R, Lazzarin P. The mean stress effect on the high-cycle fatigue strength from a multiaxial fatigue point of view. International Journal of Fatigue. 2005;27(8):928-43. https://doi.org/10.1016/j.ijfatigue.2004.11.012
  15. Liu B, Yan X. A new model of multiaxial fatigue life prediction with the influence of different mean stresses. International Journal of Damage Mechanics. 2019;28(9):1323-43. https://doi.org/10.1177/1056789518824396
  16. Kashyzadeh KR, Farrahi G, Shariyat M, Ahmadian M. Experimental accuracy assessment of various high-cycle fatigue criteria for a critical component with a complicated geometry and multi-input random non-proportional 3D stress components. Engineering Failure Analysis. 2018;90:534-53. https://doi.org/10.1016/j.engfailanal.2018.03.033
  17. Shariyat M. A fatigue model developed by modification of Gough’s theory, for random non-proportional loading conditions and three-dimensional stress fields. International journal of fatigue. 2008;30(7):1248-58. https://doi.org/10.1016/j.ijfatigue.2007.08.018
  18. Shariyat M. New multiaxial HCF criteria based on instantaneous fatigue damage tracing in components with complicated geometries and random non-proportional loading conditions. International Journal of Damage Mechanics. 2010;19(6):659-90. https://doi.org/10.1177/1056789509338317
  19. Yu X, Lin X, Wang Z, Zhang S, Gao X, Zhang Y, et al. Room and high temperature high-cycle fatigue properties of Inconel 718 superalloy prepared using laser directed energy deposition. Materials Science and Engineering: A. 2021;825:141865. https://doi.org/10.1016/j.msea.2021.141865
  20. Kawagoishi, Chen, Nisitani. Fatigue strength of Inconel 718 at elevated temperatures. Fatigue & Fracture of Engineering Materials & Structures. 2000;23(3):209-16. https://doi.org/10.1046/j.14602695.2000.00263.x
  21. Zhu J-Q, Lu Y-X, Sun L-G, Huang S, Mei L-B, Zhu M-L, et al. Effect of microstructure on fatigue resistance of Inconel 740H and Haynes 282 nickel-based alloys at high temperature. Materials Characterization. 2023;203:113095. https://doi.org/10.1016/j.matchar.2023.113095
  22. Maderbacher H, Oberwinkler B, Gänser H-P, Tan W, Rollett M, Stoschka M. The influence of microstructure and operating temperature on the fatigue endurance of hot forged Inconel® 718 components. Materials Science and Engineering: A. 2013;585:123-31. https://doi.org/10.1016/j.msea.2013.07.053
  23. Liu S, Shao S, Guo H, Zong R, Qin C, Fang X. The microstructure and fatigue performance of Inconel 718 produced by laser-based powder bed fusion and post heat treatment. International Journal of Fatigue. 2022;156:106700. https://doi.org/10.1016/j.ijfatigue.2021.106700
  24. Antunes F, Ferreira J, Branco C. High temperature fatigue crack growth in Inconel 718. Materials at High Temperatures. 2000;17(4):439-48. https://doi.org/10.1179/mht.2000.058
  25. Antunes F, Ferreira J, Branco C, Byrne J. Influence of stress state on high temperature fatigue crack growth in Inconel 718. Fatigue & Fracture of Engineering Materials & Structures. 2001;24(2):127-35. https://doi.org/10.1046/j.1460-2695.2001.00375.x
  26. Gustafsson D, Lundström E. High temperature fatigue crack growth behaviour of Inconel 718 under hold time and overload conditions. International Journal of Fatigue. 2013;48:178-86. https://doi.org/10.1016/j.ijfatigue.2012.10.018
  27. Ghonem H, Nicholas T, Pineau A. Elevated temperature fatigue crack growth in alloy 718—part II: effects of environmental and material variables. Fatigue & Fracture of Engineering Materials & Structures. 1993;16(6):577-90. https://doi.org/10.1016/0025-5416(81)90225-8
  28. Meggiolaro M, Castro J. Statistical evaluation of strain-life fatigue crack initiation predictions. International Journal of Fatigue. 2004;26(5):463-76. https://doi.org/10.1016/j.ijfatigue.2003.11.004
  29. Rasul A, Karuppanan S, Perumal V, Ovinis M, Iqbal M. Multi-objective optimization of stress concentration factors for fatigue design of internal ring-reinforced KT-joints undergoing brace axial compression. Civ Eng J. 2024;10:1742-64. https://doi.org/10.28991/CEJ-2024-010-06-03
  30. Major Z, Bodnár L, Merczel DB, Szép J, Lublóy É. Analysis of the heating of steel structures during fire load. 2024. https://doi.org/10.28991/ESJ-2024-08-01-01
  31. Rahmani M, Petrudi AM. Investigation of Crack Growth by Loading Fatigue due to Fluid and Structural Coupling Vibrations in the Joint of Thermowell Welding in Gas Pipeline. http://dx.doi.org/10.46565/jreas.2020.v05i02.001
  32. Carpinteri A, Spagnoli A, Vantadori S. Multiaxial fatigue assessment using a simplified critical plane-based criterion. International Journal of Fatigue. 2011;33(8):969-76. https://doi.org/10.1016/j.ijfatigue.2011.01.004
  33. Carpinteri A, Spagnoli A, Vantadori S. Multiaxial fatigue life estimation in welded joints using the critical plane approach. International Journal of Fatigue. 2009;31(1):188-96. https://doi.org/10.1016/j.ijfatigue.2008.03.024
  34. Kashyzadeh KR. Utilizing data-driven methods to predict the fatigue life of cement concrete considering corrosive environmental factors. Journal of Design Against Fatigue. 2023;1(3). https://doi.org/10.62676/3th69185
  35. Fatemi A, Socie DF. A critical plane approach to multiaxial fatigue damage including out‐of‐phase loading. Fatigue & Fracture of Engineering materials & structures. 1988;11(3):149-65. https://doi.org/10.1111/j.1460-2695.1988.tb01169.x
  36. Myler P, Wyatt LM. Mechanics of solids. Mechanical Engineer's Reference Book: Elsevier; 1994. p. 8-1-8-42.
  37. Dowling NE, Kampe SL, Kral MV. Mechanical behavior of materials: engineering methods for deformation, fracture, and fatigue. (no Title). 2007.
  38. Riemer A, Leuders S, Thöne M, Richard H, Tröster T, Niendorf T. On the fatigue crack growth behavior in 316L stainless steel manufactured by selective laser melting. Engineering Fracture Mechanics. 2014;120:15-25. https://doi.org/10.1016/j.engfracmech.2014.03.008
  39. Dahar MS, Seifi SM, Bewlay B, Lewandowski JJ. Effects of test orientation on fracture and fatigue crack growth behavior of third generation as-cast Ti–48Al–2Nb–2Cr. Intermetallics. 2015;57:73-82. https://doi.org/10.1016/j.intermet.2014.10.005
  40. Ritchie R, Knott J. Mechanisms of fatigue crack growth in low alloy steel. Acta Metallurgica. 1973;21(5):639-48. https://doi.org/10.1016/0001-6160(73)90073-4
  41. Zinsser W, Lewandowski J. Effects of R-ratio on the fatigue crack growth of Nb-Si (ss) and Nb-10Si In Situ composites. Metallurgical and Materials transactions A. 1998;29:1749-57. https://doi.org/10.1007/s11661-998-0098-x
  42. Maiti S, Geubelle PH. A cohesive model for fatigue failure of polymers. Engineering Fracture Mechanics. 2005;72(5):691-708. https://doi.org/10.1016/j.engfracmech.2004.06.005
  43. Kirane K, Bažant ZP. Size effect in Paris law and fatigue lifetimes for quasibrittle materials: Modified theory, experiments and micro-modeling. International Journal of Fatigue. 2016;83:209-20. https://doi.org/10.1016/j.ijfatigue.2015.10.015
  44. Kujawski D. Correlating R-ratio effects on FCG behavior using ΔKd function. Theoretical and Applied Fracture Mechanics. 2022;118:103244. https://doi.org/10.1016/j.tafmec.2021.103244
  45. Ding J, Hall R, Byrne J. Effects of stress ratio and temperature on fatigue crack growth in a Ti–6Al–4V alloy. International journal of fatigue. 2005;27(10-12):1551-8. https://doi.org/10.1016/j.ijfatigue.2005.06.007
  46. ASTM A. E2207–08, Standard practice for strain-controlled axialtorsional fatigue testing with thin-walled tubular specimens. ASTM International, West Conshohocken (PA, USA): Book of Standards. 2008;3. https://www.astm.org/e2207-15r21.html
  47. Khalil Z, Elghazouli AY, Martinez-Paneda E. A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver. Computer Methods in Applied Mechanics and Engineering. 2022;388:114286. https://doi.org/10.1016/j.cma.2021.114286
  48. Oskui AEh, Choupani N, Shameli M. 3D characterization of mixed-mode fracture toughness of materials using a new loading device. Latin American Journal of Solids and Structures. 2016;13:1464-82. https://doi.org/10.1590/1679-78252779
  49. Choupani N. Experimental and numerical investigation of the mixed-mode delamination in Arcan laminated specimens. Materials Science and Engineering: A. 2008;478(1-2):229-42. https://doi.org/10.1016/j.msea.2007.05.103
  50. Karthik D, Swaroop S. Laser shock peening enhanced corrosion properties in a nickel based Inconel 600 superalloy. Journal of Alloys and Compounds. 2017;694:1309-19.
  51. Moradi A, Ghorbani S, Chizari M. Experimental research on mechanical, material, and metallurgical properties of Inconel 600: Application in elevated temperature environment. Journal of Design Against Fatigue. 2024;2(1). https://doi.org/10.62676/jdaf.2024.2.1.30
  52. Kashyzadeh KR, Farrahi G, Shariyat M, Ahmadian M. Experimental and finite element studies on free vibration of automotive steering knuckle. International Journal of Engineering Transactions B: Applications. 2017;30:1776-83. https://doi.org/10.5829/ije.2017.30.11b.20