Abstract
A novel approach for the fatigue life prediction based on the combination of FE simulation using ABAQUS and fatigue analysis in FE-SAFE has been proposed in this paper. A phenomenological constitutive equation and an exponential ductile damage model were first developed using an iterative method to describe the whole deformation process including fracture of plate specimen prepared from N80 oil tube. In addition, fatigue tests for N80 specimen were conducted at a stress ratio R = 0.1 and at a loading frequency of 15 Hz, in which the maximum applied stress was chosen as 500, 540 and 600 MPa. The fatigue test data was further analyzed using Kolmogorov–Smirnov (K–S) tests, and results show that the logarithm fatigue life follows normal distribution. The S–N curve for N80 oil tube materials was established based on the fatigue test results and statistical analysis. The results of stress distribution in N80 plate specimen from FE simulation and the experimentally determined S–N curve were imported to FE-SAFE for the prediction of fatigue life. Good agreement has been achieved between the predicted fatigue life using the proposed approach and experimental results.
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References
V.V. Bolotin, A unified approach to damage accumulation and fatigue crack growth. Eng. Fract. Mech. 22(3), 387–398 (1985)
E. Santecchia, A.M.S. Hamouda, F. Musharavati, E. Zalnezhad, M. Cabibbo, M. El Mehtedi, S. Spigarelli, A review on fatigue life prediction methods for metals. Adv. Mater. Sci. Eng. 2016, 1–26 (2016)
A. Palmgren, Die Lebensdauer von Kugellargern. Zeitshrift Vereines Duetsher Ingenieure 68(4), 339 (1924)
M. Ma, Cumulative damage in fatigue. J. Appl. Mech. 12, A159–A164 (1945)
S.M. Marco, W.L. Starkey, A concept of fatigue damage. Trans Asme 76(4), 627–632 (1954)
S. Manson, J. Freche, C. Ensign, Application of a double linear damage rule to cumulative fatigue. Fatigue crack propagation (ASTM International, West Conshohocken, 1967)
S. Subramanyan, A cumulative damage rule based on the knee point of the SN curve. J. Eng. Mater. Technol. 98(4), 316–321 (1976)
J. Chaboche, P. Lesne, A non-linear continuous fatigue damage model. Fatigue Fract. Eng. Mater. Struct. 11(1), 1–17 (1988)
Z. Peng, H.-Z. Huang, J. Zhou, Y.-F. Li, A new cumulative fatigue damage rule based on dynamic residual SN curve and material memory concept. Metals 8(6), 456 (2018)
X. Wang, W. Zhang, T. Zhang, J. Gong, M. Abdel Wahab, A new empirical life prediction model for 9–12% Cr steels under low cycle fatigue and creep fatigue interaction loadings. Metals 9(2), 183 (2019)
S. Manson, A complex subject-some simple approximations. Exp. Mech. 5(7), 193–226 (1965)
L.F. Coffin Jr., A study of the effects of cyclic thermal stresses on a ductile metal. Trans. Am. Soc. Mech. Eng. N. Y. 76, 931–950 (1954)
O.H. Basquin, The exponential law of endurance tests. Proc Am Soc Test Mater 10, 625–630 (1910)
A. Aeran, S.C. Siriwardane, O. Mikkelsen, I. Langen, A new nonlinear fatigue damage model based only on S–N curve parameters. Int. J. Fatigue 103, 327–341 (2017)
K. Rege, D.G. Pavlou, A one-parameter nonlinear fatigue damage accumulation model. Int. J. Fatigue 98, 234–246 (2017)
S.-P. Zhu, D. Liao, Q. Liu, J.A.F.O. Correia, A.M.P. De Jesus, Nonlinear fatigue damage accumulation: isodamage curve-based model and life prediction aspects. Int. J. Fatigue 128, 105185 (2019)
M. Araghi, H. Rokhgireh, A. Nayebi, Evaluation of fatigue damage model of CDM by different proportional and non-proportional strain controlled loading paths. Theor. Appl. Fract. Mech. 98, 104–111 (2018)
J. Huang, Q. Meng, Z. Zhan, W. Hu, F. Shen, Damage mechanics-based approach to studying effects of overload on fatigue life of notched specimens. Int. J. Damage Mech 28(4), 538–565 (2019)
N. Liu, X. Cui, J. Xiao, J. Lua, N. Phan, A simplified continuum damage mechanics based modeling strategy for cumulative fatigue damage assessment of metallic bolted joints. Int. J. Fatigue 131, 105302 (2020)
A.J. McEvily, A modified constitutive relation for fatigue crack growth, in Proceedings of the 7th International Fatigue Congress (Fatigue’99). Higher Education Press, pp. 329–336 (1999)
A.J. McEvily, S. Ishihara, On the dependence of the rate of fatigue crack growth on the Σna (2a) parameter. Int. J. Fatigue 23(2), 115–120 (2001)
F. Wang, W. Cui, Approximate method to determine the model parameters in a new crack growth rate model. Mar. Struct. 22(4), 744–757 (2009)
F. Chen, F. Wang, W. Cui, Fatigue life prediction of engineering structures subjected to variable amplitude loading using the improved crack growth rate model. Fatigue Fract. Eng. Mater. Struct. 35(3), 278–290 (2012)
E. Castillo, A. Fernández-Canteli, D. Siegele, Obtaining S–N curves from crack growth curves: an alternative to self-similarity. Int. J. Fract. 187(1), 159–172 (2014)
J.A.F.O. Correia, S. Blasón, A. Arcari, M. Calvente, N. Apetre, P.M. Moreira, A.M. De Jesus, A.F. Canteli, Modified CCS fatigue crack growth model for the AA2019-T851 based on plasticity-induced crack-closure. Theor. Appl. Fract. Mech. 85, 26–36 (2016)
J. Shi, D. Chopp, J. Lua, N. Sukumar, T. Belytschko, Abaqus implementation of extended finite element method using a level set representation for three-dimensional fatigue crack growth and life predictions. Eng. Fract. Mech. 77(14), 2840–2863 (2010)
I.V. Singh, B.K. Mishra, S. Bhattacharya, R.U. Patil, The numerical simulation of fatigue crack growth using extended finite element method. Int. J. Fatigue 36(1), 109–119 (2012)
H. Dirik, T. Yalçinkaya, Crack path and life prediction under mixed mode cyclic variable amplitude loading through XFEM. Int. J. Fatigue 114, 34–50 (2018)
H. Li, J. Li, H. Yuan, A review of the extended finite element method on macrocrack and microcrack growth simulations. Theor. Appl. Fract. Mech. 97, 236–249 (2018)
X. Wan, Y. Shan, X. Liu, H. Wang, J. Wang, Simulation of Biaxial Wheel test and fatigue life estimation considering the influence of tire and wheel camber. Adv. Eng. Softw. 92, 57–64 (2016)
M.M. Zakirnichnaya, I.M. Kulsharipov, Wedge gate valves selected during technological pipeline systems designing service life assessment. Procedia Eng. 206, 1831–1838 (2017)
X. Hong, G. Xiao, W. Haoyu, L. Xing, W. Sixing, Fatigue damage analysis and life prediction of E-clip in railway fasteners based on ABAQUS and FE-SAFE. Adv. Mech. Eng. 10(3), 1687814018767249 (2018)
B. Saadouki, T. Sapanathan, P.H. Pelca, M. Elghorba, M. Rachik, Fatigue damage in fieldshapers used during electromagnetic forming and welding processes at high frequency impulse current. Int. J. Fatigue 109, 93–102 (2018)
V. Granados-Alejo, C. Rubio-González, C.A. Vázquez-Jiménez, J.A. Banderas, G. Gómez-Rosas, Influence of specimen thickness on the fatigue behavior of notched steel plates subjected to laser shock peening. Opt. Laser Technol. 101, 531–544 (2018)
Y. Duan, J.A. Gonzalez, P.A. Kulkarni, W.W. Nagy, J.A. Griggs, Fatigue lifetime prediction of a reduced-diameter dental implant system: numerical and experimental study. Dent. Mater. 34(9), 1299–1309 (2018)
H. Xiao, Y. Zhang, Q. Li, F. Jin, M.M. Nadakatti, Analysis of the initiation and propagation of fatigue cracks in the CRTS II slab track inter-layer using FE-SAFE and XFEM. Proc. Inst. Mech. Eng. Part F J. Rail Rapid Transit. 233(7), 678–690 (2019)
X.L. Zheng, B. Lü, H. Jiang, Determination of probability distribution of fatigue strength and expressions of P–S–N curves. Eng. Fract. Mech. 50(4), 483–491 (1995)
P.C. Gope, Determination of sample size for estimation of fatigue life by using Weibull or log-normal distribution. Int. J. Fatigue 21(8), 745–752 (1999)
H. Li, D. Wen, Z. Lu, Y. Wang, F. Deng, Identifying the probability distribution of fatigue life using the maximum entropy principle. Entropy 18(4), 111 (2016)
S. Muhammad, P.-Y.B. Jar, Determining stress-strain relationship for necking in polymers based on macro deformation behavior. Finite Elem. Anal. Des. 70–71, 36–43 (2013)
Y. Zhang, P.-Y.B. Jar, Phenomenological modelling of tensile fracture in PE pipe by considering damage evolution. Mater. Des. 77, 72–82 (2015)
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The authors acknowledge the financial support from National Natural Science Foundation of China (11802343), China Postdoctoral Science Foundation (2018M630809), the Fundamental Research Funds for the Central Universities (18CX02174A).
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Liu, X., Zhang, Y., Zhu, J. et al. Fatigue Lifetime Prediction for Oil Tube Material Based on ABAQUS and FE-SAFE. J Fail. Anal. and Preven. 20, 936–943 (2020). https://doi.org/10.1007/s11668-020-00894-x
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DOI: https://doi.org/10.1007/s11668-020-00894-x