Abstract
This study presents the temperature evolution of dual-phase steel in the prediction of the fatigue crack growth rate under block spectrum loading. The degradation coefficient that can be determined from the degradation-entropy generation theorem can be obtained based on the relationship between entropy generation and crack growth. The fatigue crack growth rate under block spectrum loading was then evaluated using the measured surface temperature evolution of the specimen during a fatigue crack growth test. The results of the present model were then compared with experimental fatigue data and the correlation coefficient \((R^{\mathrm {2}})\) in all conditions was observed to be more than 0.8. Therefore, the results show that entropy generation of the specimen is a reliable parameter in predicting fatigue crack growth rate under block spectrum loading using the intensity of the degradation coefficient.
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References
Bryant MD, Khonsari MM, Ling FF (2008) On the thermodynamics of degradation. Proc R Soc A 464(2096):2001–14. https://doi.org/10.1098/rspa.2007.0371
Bryant MD (2014) Modeling Degradation Using Thermodynamic Entropy. Annual Conference of the Prognostics and Health Management Society, no. 1: 1–7. http://www.phmsociety.org/sites/phmsociety.org/files/phm_submission/2014/phmc_14_076.pdf
Chen TC, Chen ST, Tsay LW, Shiue RK (2018) Correlation between fatigue crack growth behavior and fracture surface roughness on cold-rolled austenitic stainless steels in gaseous hydrogen. Metals 8(4):1–15. https://doi.org/10.3390/met8040221
Choi SH, Kim EY, Kim SI (2014) The micromechanical deformation behaviors of hot-rolled 590FB steel during hole-expansion test. Int J Plast 58:184–200. https://doi.org/10.1016/j.ijplas.2013.11.010
Espinosa AAA, Fellows NA, Durodola JF (2013) Experimental measurement of crack opening and closure loads for 6082–T6 aluminium subjected to periodic single and block overloads and underloads. Int J Fatigue 47:71–82. https://doi.org/10.1016/j.ijfatigue.2012.07.010
Ghaheri A, Honarmand M, Shafyei A (2014) Effects of inter-critical temperatures on martensite morphology, volume fraction and mechanical properties of dual-phase steels obtained from direct and continuous annealing cycles. J Mater Des 62:305–19. https://doi.org/10.1016/j.matdes.2014.04.073
Hajshirmohammadi B, Khonsari MM (2020) A simple approach for predicting fatigue crack propagation rate based on thermography. Theor Appl Fract Mech 107(February):102534. https://doi.org/10.1016/j.tafmec.2020.102534
Haldar A, Mahadevan S (2000) Probability, reliability and statistical methods in engineering design. Wiley, New York
Idris R, Abdullah S, Thamburaja P, Omar MZ (2018) Entropy-based approach for fatigue crack growth rate of dual-phase steel”. Int J Integr Eng 10(5):1–7
Idris R, Abdullah S, Thamburaja P, Omar MZ (2020) Prediction of fatigue crack growth rate based on entropy generation. Entropy 22(1):1–22
Idris R, Abdullah S, Thamburaja P, Omar MZ (2018) The need to generate entropy characteristics for fatigue life prediction in low-carbon steel. J Braz Soc Mech Sci Eng 40(9):409. https://doi.org/10.1007/s40430-018-1335-x
Karolczuk A (2016) Analysis of revised fatigue life calculation algorithm under proportional and non-proportional loading with constant amplitude. Int J Fatigue 88:111–20. https://doi.org/10.1016/j.ijfatigue.2016.03.027
Khan SU, Alderliesten RC, Rans CD, Benedictus R (2010) Application of a modified wheeler model to predict fatigue crack growth in fibre metal laminates under variable amplitude loading. Eng Fract Mech 77(9):1400–1416. https://doi.org/10.1016/j.engfracmech.2010.03.041
Kim D, Kim SG, Kim WT, Cho J, Han HN, Cha PR (2011) Effect of microelasticity on grain growth?: Texture evolution and abnormal grain growth. Scr Mater 64(12):1079–82. https://doi.org/10.1016/j.scriptamat.2011.02.022
Klingbeil NW (2003) A total dissipated energy theory of fatigue crack growth in ductile solids. Int J Fatigue 25(2):117–28. https://doi.org/10.1016/S0142-1123(02)00073-7
Kong YS, Abdullah S, Schramm D, Omar MZ, Haris SM (2018) Generation of artificial road profile for automobile spring durability analysis. J Kejuruteraan 30(2):123–28
Krajewski S, Nowacki J (2016) Artificial intelligence in the AHSS steel mechanical properties and microstructure analysis. Prz Elektrotech 1(6):102. https://doi.org/10.15199/48.2016.06.19 5
Laseure N, Schepens I, Micone N, Waele W De (2015) Effects of variable amplitude loading on fatigue life. Int J Sustain Constr Des 6(3):1–10
Lee JH, Park SH, Kwon HS, Kim GS, Soo C (2014) Laser, tungsten inert gas, and metal active gas welding of DP780 steel: comparison of hardness, tensile properties and fatigue resistance. J Mater Des 4(64):559–65. https://doi.org/10.1016/j.matdes.2014.07.065
Li S, Kang Y, Kuang S (2014) Effects of microstructure on fatigue crack growth behavior in cold-rolled dual phase steels. Mater Sci Eng, A 612:153–61. https://doi.org/10.1016/j.msea.2014.06.002
Li Y, Wang H, Gong D (2012) The interrelation of the parameters in the Paris equation of fatigue crack growth. Eng Fract Mech 96:500–509. https://doi.org/10.1016/j.engfracmech.2012.08.016
Liakat M, Khonsari MM (2014) An experimental approach to estimate damage and remaining life of metals under uniaxial fatigue loading. Mater Des 57:289–97. https://doi.org/10.1016/j.matdes.2013.12.027
Lu Z, Liu Y (2011) Experimental investigation of random loading sequence effect on fatigue crack growth. Mater Des 32(10):4773–85. https://doi.org/10.1016/j.matdes.2011.06.034
Mansor NII, Abdullah S, Ariffin AK (2019) Effect of loading sequences on fatigue crack growth and crack closure in API X65 steel. Mar Struct 65:181–96. https://doi.org/10.1016/j.marstruc.2019.01.007
Mehdizadeh M, Khonsari MM (2018) On the application of fracture fatigue entropy to variable frequency and loading amplitude. Theor Appl Fract Mech 98:30–37. https://doi.org/10.1016/j.tafmec.2018.09.005
Micone N, Waele W De, Chhith S (2015) Towards the understanding of variable amplitude fatigue. In: Synergy Internatioanl Conferences—Engineering, Agriculture and Green Industry Innovation. Gödöllő, Hungary
Naderi M, Khonsari MM (2010) A thermodynamic approach to fatigue damage accumulation under variable loading. Mater Sci Eng A 527(23):6133–39. https://doi.org/10.1016/j.msea.2010.05.018
Naderi M, Khonsari MM (2012) A comprehensive fatigue failure criterion based on thermodynamic approach. J Compos Mater 46(4):437–47. https://doi.org/10.1177/0021998311419540
Ontiveros V, Amiri M, Kahirdeh A, Modarres M (2017) Thermodynamic entropy generation in the course of the fatigue crack initiation. Fatigue Fract Eng Mater Struct 40(3):423–34. https://doi.org/10.1111/ffe.12506
Osara JA, Bryant MD (2019) Thermodynamics of Fatigue?: Degradation-entropy generation methodology for system and process characterization and failure analysis. Entropy 21(7):685
Park K, Nishiyama M, Nakada N, Tsuchiyama T, Takaki S (2014) Effect of the martensite distribution on the strain hardening and ductile fracture behaviors in dual-phase steel. Mater Sci Eng A 604:135–41. https://doi.org/10.1016/j.msea.2014.02.058
Peng Z, Huang H-Z, Zhu S-P, Gao H, Lv Z (2016) A Fatigue driving energy approach to high-cycle fatigue life estimation under variable amplitude loading. Fatigue Fract Eng Mater Struct 39(2):180–93. https://doi.org/10.1111/ffe.12347
Richard HA, Sander M (2016) Fatigue crack growth: detect-assess-avoid. Springer, Cham
Salimi H, Pourgol-Mohammad M, Yazdani M (2019) Metal fatigue assessment based on temperature evolution and thermodynamic entropy generation. Int J Fatigue 127(March):403–16. https://doi.org/10.1016/j.ijfatigue.2019.06.022
Simunek D, Leitner M, Maierhofer J, Gänser H (2015) Fatigue crack growth under constant and variable amplitude loading at semi-elliptical and V-notched steel specimens. Procedia Eng 133:348–61. https://doi.org/10.1016/j.proeng.2015.12.670
Sivák P, Ostertagová E (2012) Evaluation of fatigue tests by means of mathematical statistics. Procedia Eng 48:636–42. https://doi.org/10.1016/j.proeng.2012.09.564
Wang XG, Crupi V, Jiang C, Guglielmino E (2015) Quantitative thermographic methodology for fatigue life assessment in a multiscale energy dissipation framework. Int J Fatigue 81:249–56. https://doi.org/10.1016/j.ijfatigue.2015.08.015
Yun H, Modarres M (2019) Measures of entropy to characterize fatigue damage in metallic materials. Entropy 21(8):1–21
Zakaria KA, Abdullah S, Ghazali MJ, Azhari CH (2013) Influence of spectrum loading sequences on fatigue life in a high-temperature environment. Eng Fail Anal 30:111–23. https://doi.org/10.1016/j.engfailanal.2013.01.008
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This work was supported by the Research Fund provided by Universiti Kebangsaan Malaysia (UKM) (Grant no.: GP-2019-K007552).
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Universiti Kebangsaan Malaysia (UKM) (Grant no.: GP-2019-K007552)
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Idris, R., Abdullah, S., Thamburaja, P. et al. Predicting fatigue crack growth rate under block spectrum loading based on temperature evolution using the degradation-entropy generation theorem. Int J Fract 228, 145–158 (2021). https://doi.org/10.1007/s10704-021-00525-y
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DOI: https://doi.org/10.1007/s10704-021-00525-y