Statistical analysis of the influence of defects on fatigue life using a Gumbel distribution
Source abstract
Abstract
Abstract Location and scale parameters, λ and δ, of a Gumbel distribution are used to quantify defects in metallic materials. To determine the impact of these parameters on fatigue life performance and variability, fatigue crack growth simulations of 7075-T651 aluminum alloy were performed using a modified strip-yield model to produce S-N data. It was observed that defects representing initial crack lengths following a Gumbel distribution yield a fatigue life that follows a log-normal distribution. It was determined that location and scale parameters impact the fatigue life mean and standard deviation, but have little to no effect on the coefficient of variation.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design · Material Properties and Failure Mechanisms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (26)
Show source-provided references
1. Gumbel · 1958
2. Statistical analysis of defects for fatigue strength prediction and quality control of materials10.1046/j.1460-2695.1998.00104.x ↗
3. Murakami · 2002
4. Characterization of inclusions in clean steels: a review including the statistics of extremes methods10.1016/S0079-6425(02)00014-2 ↗
5. FAA. Fatigue crack growth database for damage tolerance analysis, DOT/FAA/AR-05/15; 2005.
6. Fatigue crack closure under cyclic tension10.1016/0013-7944(70)90028-7 ↗
7. An elastic-plastic analytical model for predicting fatigue crack growth in arbitrary edged-cracked two-dimensional geometries with residual stress
8. Newman Jr., JC. Crack-closure model for predicting fatigue crack growth under aircraft spectrum loading. ASTM STP 748; 1981. p. 53–84.10.1520/STP28334S ↗
9. FAA. Metallic materials properties development and standardization, DOT/FAA/AR-MMPDS-01; 2003.
10. Aitchison · 1957
11. Intrinsic material scatter in fatigue crack propagation10.1111/j.1460-2695.1981.tb01133.x ↗
12. The statistical nature of fatigue crack propagation10.1115/1.3443666 ↗
13. Experimental study of the constant probability crack growth curves under constant amplitude loading10.1016/0013-7944(87)90002-6 ↗
14. Hudson CM. A study of fatigue and fracture in 7075–T6 aluminum alloy in vacuum and air environments (Technical No. NASA-TN-D-7262, L-8829), NASA Langley Research; 1973, p. 39.
15. Newman · 1994
16. Statistical analysis of constituent particles in 7075–T6 aluminum alloy10.1007/BF02586171 ↗
17. Fracture mechanics parameters for small fatigue cracks
18. Predition of S-N fatigue curves using various long-crack-derived ΔKeff fatigue crack growth curves and a small crack life prediction model
19. A model for fracture mechanics based prediction of the fatigue strength: further validation and limitations10.1016/j.engfracmech.2013.12.005 ↗
20. DeVore · 1982
21. Stephens · 2000
22. Frost · 1974
23. Fatigue predictions and scatter10.1111/j.1460-2695.1994.tb00239.x ↗
24. Statistical aspects of some fatigue crack growth data10.1016/j.engfracmech.2006.08.019 ↗
25. AGARD. Practical applications of fracture mechanics. AGARDograph No. 257; 1980.
26. Basics of fatigue crack growth