A regularized Miner’s rule for fatigue reliability analysis with Mittag-Leffler statistics
Source abstract
Abstract
This paper aims to develop a regularized Miner’s rule to assess the fatigue reliability of composites in conjunction with the Mittag-Leffler Monte Carlo method. The proposed strategy is validated by analyzing experimental data to investigate the fatigue reliability of carbon fiber/epoxy composites under different stress amplitudes. The estimated results are feasible for preliminary analysis at the design stage. The regularized Miner’s rule, a scale transform of fatigue life simulations, accurately describes the damage accumulation rate. It is stressed that the Mittag-Leffler Monte Carlo method is mathematically simple and easy-to-program for researchers and nonexpert engineers.
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Research context
OpenAlex topics: Probabilistic and Robust Engineering Design · Fatigue and fracture mechanics · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Institute of Soft Matter Mechanics, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu, China
References (41)
Show source-provided references
1. 10.1016/j.matdes.2010.06.01010.1016/j.matdes.2010.06.010 ↗
2. 10.1016/j.ijfatigue.2007.02.01110.1016/j.ijfatigue.2007.02.011 ↗
3. 10.1137/07071011110.1137/070710111 ↗
4. 10.1016/j.ijfatigue.2013.08.00410.1016/j.ijfatigue.2013.08.004 ↗
5. 10.1002/pse.7810.1002/pse.78 ↗
6. 10.1016/j.ijfatigue.2014.05.00910.1016/j.ijfatigue.2014.05.009 ↗
7. 10.1016/j.physa.2009.06.03610.1016/j.physa.2009.06.036 ↗
8. 10.1103/PhysRevE.77.02112210.1103/PhysRevE.77.021122 ↗
9. 10.1007/978-3-662-43930-210.1007/978-3-662-43930-2 ↗
10. 10.1016/j.jfa.2014.12.00710.1016/j.jfa.2014.12.007 ↗
11. 10.1007/s10845-009-0341-310.1007/s10845-009-0341-3 ↗
12. 10.1155/2011/29862810.1155/2011/298628 ↗
13. 10.1209/0295-5075/109/3600410.1209/0295-5075/109/36004 ↗
14. Jayakumar K · Journal of the Indian Society of Probability and Statistics · 2003 · 7 · 51
15. 10.1016/S0142-1123(01)00108-610.1016/S0142-1123(01)00108-6 ↗
16. Kozubowski TJ · Statistics and Decisions · 1994 · 12 · 307
17. 10.1016/S0895-7177(01)00115-710.1016/S0895-7177(01)00115-7 ↗
18. 10.1016/j.apor.2012.07.00510.1016/j.apor.2012.07.005 ↗
19. 10.1111/ffe.1211010.1111/ffe.12110 ↗
20. 10.1016/S0378-3758(98)00096-210.1016/S0378-3758(98)00096-2 ↗
21. 10.1016/j.ijfatigue.2006.09.00910.1016/j.ijfatigue.2006.09.009 ↗
22. 10.1177/105678951452407510.1177/1056789514524075 ↗
23. Marco S · Transactions of the ASME · 1954 · 76 · 627
24. 10.1080/01621459.1951.1050076910.1080/01621459.1951.10500769 ↗
25. 10.1115/1.400945810.1115/1.4009458 ↗
26. 10.1111/ffe.1209310.1111/ffe.12093 ↗
27. 10.1016/j.ijadhadh.2014.01.01810.1016/j.ijadhadh.2014.01.018 ↗
28. 10.1111/j.1460-2695.2004.00847.x10.1111/j.1460-2695.2004.00847.x ↗
29. 10.1155/2011/71890110.1155/2011/718901 ↗
30. 10.3390/math302036810.3390/math3020368 ↗
31. 10.1016/j.matdes.2007.05.00510.1016/j.matdes.2007.05.005 ↗
32. 10.1016/j.ijfatigue.2013.04.02410.1016/j.ijfatigue.2013.04.024 ↗
33. 10.1016/S0142-1123(00)00030-X10.1016/S0142-1123(00)00030-X ↗
34. Usynin A · Reliability and Maintainability Symposium · 2008 · 2008 · 334
35. Wang P · Reliability and Maintainability Symposium · 2007 · 2007 · 392
36. 10.1016/0378-4371(96)00209-910.1016/0378-4371(96)00209-9 ↗
37. 10.1016/S0308-0161(97)00053-710.1016/S0308-0161(97)00053-7 ↗
38. Xiong H (2009) A relationship of dispersity between fatigue life and strength of composites . Dissertation, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, China. (In Chinese.).
39. Xu R · Development and Application of Materials · 1994 · 9 · 18
40. Yang HS · Polymer Composites · 2009 · 31 · 55310.1002/pc.20848 ↗
41. Zhu SP, Huang HZ, Liao Q, et al. (2012) Probabilistic modeling of damage accumulation for fatigue reliability analysis. Quality, Reliability, Risk, Maintenance, and Safety Engineering (ICQR2MSE) , 2012 International Conference on IEEE 2012: 918–923.10.1109/ICQR2MSE.2012.6246375 ↗