Abstract –
Based on the Corten-Dolan model and the law of material residual strength degradation, a new nonlinear fatigue accumulation damage model is established. Combining the traditional material residual strength degradation model with the equivalent damage law, a material residual strength model suitable for variable amplitude loading is established. Subsequently, based on the above residual strength model, the material residual strength attenuation coefficient is constructed by using the ratio of material residual strength to initial strength, and it is introduced into the traditional Corten-Dolan model and its key parameter d to improve the model. The proposed model can not only consider the influence of residual strength on damage accumulation, but fully consider the influence of small load, stress state and damage degree as well. According to the test data of aluminum alloy 7070 - T7451, titanium alloy Ti-6Al-4V, ductile iron GS61, 45 steel, 16Mn steel, and aluminum alloy welded joints, it is verified that compared with the traditional Corten-Dolan model, the established model has higher accuracy in fatigue life prediction under two-level block loading or multi-level block loading. The proposed model can better calculate the fatigue life of metal materials under multi-level variable amplitude loading and the mathematical expression is relatively simple and has strong engineering practicability.
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REFERENCES
W. Zhang, W. Jiang, X. Zhao, et al., “Fatigue life of a dissimilar welded joint considering the weld residual stress: Experimental and finite element simulation,” Int. J. Fatigue 109, 182–190 (2018). https://doi.org/10.1016/j.ijfatigue.2018.01.002
C. Shao, H. Cui, F. Lu, et al., “Quantitative relationship between weld defect characteristic and fatigue crack initiation life for high-cycle fatigue property,” Int. J. Fatigue 123, 238–247 (2019). https://doi.org/10.1016/j.ijfatigue.2019.02.028
R. C. Brzostek, U. Suhuddin, and J. F. Dos Santos, “Fatigue assessment of refill friction stir spot weld in AA 2024-T3 similar joints,” Fatigue Fract. Eng. Mater. Struct. 41 (5), 1208–1223 (2018). https://doi.org/10.1111/ffe.12764
S. P. Zhu, Z. Y. Yu, Q. Liu, et al., “Strain energy-based multiaxial fatigue life prediction under normal/shear stress interaction,” Int. J. Damage Mech. 28 (5), 708–739 (2019). https://doi.org/10.1177/1056789518786031
S. P. Zhu, Q. Lei, H. Z. Huang, et al., “Mean stress effect correction in strain energy-based fatigue life prediction of metals,” Int. J. Damage Mech. 26 (8), 1219–1241 (2017). https://doi.org/10.1177/1056789516651920
L. Xi and Z. Songlin, “Strengthening and damaging under low-amplitude loads below the fatigue limit,” Int. J. Fatigue 31, 341–345 (2009). https://doi.org/10.1016/j.ijfatigue.2008.08.004
H. Mayer, “Fatigue damage of low amplitude cycles in low carbon steel,” J. Mater. Sci. 44, 4919–4929 (2009). https://doi.org/10.1007/s10853-009-3751-x
S. P. Zhu, H. Z. Huang, and Z. L. Wang, “Fatigue life estimation considering damaging and strengthening of low amplitude loads under different load sequences using fuzzy sets approach,” Int. J. Damage Mech. 20, 876–899 (2011). https://doi.org/10.1177/1056789510397077
K. Rege and D. G. Pavlou, “A one-parameter nonlinear fatigue damage accumulation model,” Int. J. Fatigue 98, 234-246 (2017). https://doi.org/10.1016/j.ijfatigue.2017.01.039
L. Si-Jian, L. Wei, T. Da-Qing, and L. Jun-Bi, “A new fatigue damage accumulation model considering loading history and loading sequence based on damage equivalence,” Int. J. Damage Mech. 27, 707–728 (2018). https://doi.org/10.1177/1056789517701531
J. P. Dias, S. Ekwaro-Osire, A.Cunha Jr, et al., “Parametric probabilistic approach for cumulative fatigue damage using double linear damage rule considering limited data,” Int. J. Fatigue 127, 246–258 (2019). https://doi.org/10.1016/j.ijfatigue.2019.06.011
S. P. Zhu, D. Liao, Q. Liu, et al., “Nonlinear fatigue damage accumulation: isodamage curve-based model and life prediction aspects,” Int. J. Fatigue 128, 105185 (2019). https://doi.org/10.1016/j.ijfatigue.2019.105185
H. T. Corten and T. J. Dolan, “Cumulative fatigue damage,” in Proceedings of the International Conference on Fatigue of Metals, London, 10-14 September, 1956, New York, 28–30 November, 1956 (Institution of Mechanical Engineering Great Britain, London, 1956), Vol. 1, pp. 235–242.
Q. Liu, Y. Gao, Y. Li, et al., “Fatigue life prediction based on a novel improved version of the Corten-Dolan model considering load interaction effect,” Eng. Struct. 221, 111036 (2020). https://doi.org/10.1016/j.engstruct.2020.111036
S. P. Zhu, H. Z. Huang, Y. Liu, et al., “A practical method for determining the Corten-Dolan exponent and its application to fatigue life prediction,” Int. J. Turbo. Jet. Eng. 29, 79–87 (2012). https://doi.org/10.1515/tjj-2012-0013
A. D' Amore and L. Grassia, “A method to predict the fatigue life and the residual strength of composite materials subjected to variable amplitude (VA) loadings,” Compos. Struct. 228, 111338 (2019). https://doi.org/10.1016/j.compstruct.2019.111338
W. J. R. Christian, F. A. DiazDelaO and E. A. Patterson, “Strain-based damage assessment for accurate residual strength prediction of impacted composite laminates,” Compos. Struct. 184, 1215–1223 (2018). https://doi.org/10.1016/j.compstruct.2017.10.022
L. Y. Xie and W. Q. Lin, “Probability criterion of linear cumulative damage,” J. Mech. Strength. 3, 41–44 (1993).
H. Gao, H. Z. Huang, Z. Lv, et al., “An improved Corten-Dolan’s model based on damage and stress state effects,” J. Mech. Sci. Technol. 29, 3215–3223 (2015). https://doi.org/10.1007/s12206-015-0721-x
X. Y. Zhang, Life and Reliability Analysis of Aero-Engine Turbine Disc (Univ. Electronic Science and Technology of China, 2020) [in Chinese].
A. L. Carvalho, J. P. Martins, and H. J. Voorlwad, “Fatigue damage accumulation in aluminum 7050-T7451 alloy subjected to block programs loading under step-down sequence,” Procedia Eng. 2 (1), 2037–2043 (2010). https://doi.org/10.1016/j.proeng.2010.03.219
O. Jin, H. Lee and S. Mall, “Investigation into cumulative damage rules to predict fretting fatigue life of Ti-6Al-4V under two-level block loading condition” J. Eng. Mater. Technol. 125 (3), 315–323 (2003). https://doi.org/10.1115/1.1590998
A. Aïd, A. Amrouche, B. Bouiadjra, et al, “Fatigue life prediction under variable loading based on a new damage model,” Mater. Des. 32, 183–191 (2011). https://doi.org/10.1016/j.matdes.2010.06.010
D. G. Shang and W. X. Yao, “A nonlinear damage cumulative model for uniaxial fatigue,” Int. J. Fatigue 21 (2) 187–194 (1999). https://doi.org/10.1016/S0142-1123(98)00069-3
J. Tian, Z. M. Liu, and R. He, “Nonlinear fatigue-cumulative damage model for welded aluminum alloy joint of EMU,” J. China Railw. Soc. 34, 40–43 (2012). https://doi.org/10.3969/j.issn.1001-8360.2012.03.007
Funding
This study was supported by the Natural Science Foundation of Liaoning Province (no. 2019KF0204); the State Key Laboratory of Structural Analysis for Industrial Equipment Open Funding, Dalian University of Technology (GZ19204); and Liaoning Province 2020 College Innovation Talents Support Plan.
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Xu, X., Xue, Q. & He, Y. A Corten-Dolan model considering material strength degradation. Mech. Solids 57, 149–162 (2022). https://doi.org/10.3103/S002565442201006X
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DOI: https://doi.org/10.3103/S002565442201006X