A calibrated weakest-link model for probabilistic assessment of LCF life considering notch size effects
Source abstract
Abstract
Abstract This study proposes a calibrated weakest-link model for probabilistic life in low cycle fatigue (LCF) regime considering the geometric size effect and the statistical size effect. Weakest-link model is first extended to LCF regime by using damage parameter, and then calibrated based on crack propagation process. Meanwhile, experiments on standard smooth specimens and central hole plate (CHP) specimens are conducted. To improve model accuracy, parameters in the proposed model are calibrated by using Bayesian inference method. Finally, probabilistic LCF life is predicted for CHP specimens with different scales, which shows good agreement with test data.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Probabilistic and Robust Engineering Design · Structural Health Monitoring Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (53)
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1. Notch size effects in the fatigue limit of steel10.1016/S0142-1123(02)00053-1 ↗
2. Einfluss des oberflächenzustandes und der probengröße auf die Schwingfestigkeitseigenschaften
3. Geometrical effects in fatigue: a unifying theoretical model10.1016/S0142-1123(99)00007-9 ↗
4. A multiaxial stress-based critical distance methodology to estimate fretting fatigue life10.1016/j.triboint.2016.07.028 ↗
5. Critical distance for creep crack growth problems10.1016/j.engfracmech.2017.03.001 ↗
6. Determination of the fatigue critical distance according to the line and the point methods with rounded V-notched specimen10.1016/j.ijfatigue.2017.10.002 ↗
7. Implementation of the theory of critical distances using mesh control10.1016/j.tafmec.2017.05.019 ↗
8. Some default values to estimate the critical distance and their effect on structural integrity assessments10.1016/j.tafmec.2017.04.015 ↗
9. The theory of critical distances: a link to micromechanisms10.1016/j.tafmec.2017.05.018 ↗
10. HCF notch predictions based on weakest-link failure models10.1016/S0142-1123(03)00156-7 ↗
11. The probability of HCF–Surface and sub-surface models10.1016/j.ijfatigue.2016.06.021 ↗
12. A new approach to estimating the fatigue notch factor of Ti-6Al-4V components10.1016/j.ijfatigue.2015.08.018 ↗
13. A simplified method for weakest-link fatigue assessment based on finite element analysis10.1016/j.ijfatigue.2017.03.010 ↗
14. The theory of critical distances to estimate lifetime of notched components subjected to variable amplitude uniaxial fatigue loading10.1016/j.ijfatigue.2011.01.012 ↗
15. A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading10.1016/j.ijfatigue.2011.11.015 ↗
16. A novel reformulation of the theory of critical distances to design notched metals against dynamic loading10.1016/j.matdes.2014.12.026 ↗
17. Statistical size effect in the fatigue limit of steel10.1016/S0142-1123(01)00003-2 ↗
18. A combined critical distance and highly-stressed-volume model to evaluate the statistical size effect of the stress concentrator on low cycle fatigue of TA19 plate10.1016/j.ijfatigue.2016.10.003 ↗
19. A cumulative failure probability model for cleavage fracture in ferritic steels10.1016/j.mechmat.2015.11.001 ↗
20. Weibull W. A statistical theory of the strength of materials. Generalstabens litografiska anstalts förlag; 1939.
21. Fatigue life distribution and size effect in ductile cast iron for wind turbine components10.1016/j.engfailanal.2010.07.001 ↗
22. Validation of the weakest link approach and the proposed Weibull based probability distribution of failure for fatigue design of steel welded joints10.1016/j.engfailanal.2016.05.022 ↗
23. Wormsen A, Härkegård G. A statistical investigation of fatigue behaviour according to Weibull's weakest link theory. ECF15, Stockolm 2004; 2004.
24. Statistical size effects on compressive strength and mechanical behavior of concrete10.4028/www.scientific.net/KEM.754.317 ↗
25. Prediction of the size effect in concrete structures using an analytical approach to the weakest link and localization method(WL2)
26. Probability distribution of energetic-statistical size effect in quasibrittle fracture10.1016/j.probengmech.2003.09.003 ↗
27. Evaluation of size effect on strain-controlled fatigue behavior of a quench and tempered rotor steel: experimental and numerical study10.1016/j.msea.2018.08.073 ↗
28. Non-local stress approach for fatigue assessment based on weakest-link theory and statistics of extremes10.1111/j.1460-2695.2007.01190.x ↗
29. A non-local approach for probabilistic assessment of LCF life based on optimized effective-damage-parameter10.1016/j.engfracmech.2018.05.041 ↗
30. Size effect in fatigue based on the extreme value distribution of defects10.1016/j.msea.2013.11.045 ↗
31. A comparison of fatigue strength sensitivity to defects for materials manufactured by AM or traditional processes10.1016/j.ijfatigue.2016.06.020 ↗
32. Mechanical-probabilistic evaluation of size effect of fatigue life using data obtained from single smooth specimen: an example using Fe-30Mn-4Si-2Al seismic damper alloy10.1016/j.engfailanal.2016.11.015 ↗
33. What is fatigue damage? A view point from the observation of low cycle fatigue process10.1016/j.ijfatigue.2004.10.009 ↗
34. Probabilistic assessment of fatigue data from shape homologous but different scale specimens. Application to an experimental program10.1016/j.engfracmech.2017.05.017 ↗
35. Bayesian framework for probabilistic low cycle fatigue life prediction and uncertainty modeling of aircraft turbine disk alloys10.1016/j.probengmech.2013.08.004 ↗
36. Bayesian calibration of computer models10.1111/1467-9868.00294 ↗
37. Zone-based reliability analysis on fatigue life of GH720Li turbine disk concerning uncertainty quantification10.1016/j.ast.2017.08.011 ↗
38. An integrated hydrologic Bayesian multimodel combination framework: confronting input, parameter, and model structural uncertainty in hydrologic prediction10.1029/2005WR004745 ↗
39. Shirazi CH. Data-informed calibration and aggregation of expert opinion in a Bayesian framework. University of Maryland, College Park; 2009.10.1201/9780203859759.ch7 ↗
40. Probabilistic Physics of Failure-based framework for fatigue life prediction of aircraft gas turbine discs under uncertainty10.1016/j.ress.2015.10.002 ↗
41. Probabilistic framework for multiaxial LCF assessment under material variability10.1016/j.ijfatigue.2017.06.019 ↗
42. ASTM Standard E606. Standard practice for strain-controlled fatigue testing. West Conshohocken, PA: ASTM International; 2012.
43. A stress-strain function for the fatigue of metals
44. Fatigue crack propagation-an analysis10.1080/14786436808227524 ↗
45. Analytical fatigue life prediction of shot peened Inconel 71810.1016/j.ijfatigue.2018.04.011 ↗
46. The phenomena of rupture and flow in solids
47. Strain energy density prediction of fatigue crack growth from hole of aging aircraft structures10.1016/S0167-8442(02)00079-4 ↗
48. A generalized weakest-link model for size effect on strength of quasi-brittle materials10.1007/s10853-017-1574-8 ↗
49. A statistical model of fatigue failure incorporating effects of specimen size and load amplitude on fatigue life
50. A general relation between tensile strength and specimen geometry for concrete-like materials10.1007/BF02478688 ↗
51. Effect of specimen size on fatigue properties of reduced activation ferritic/martensitic steels10.1016/S0022-3115(00)00141-0 ↗
52. Wormsen A, Härkegård G. A statistical investigation of fatigue behaviour according to Weibull's weakest link theory. ECF15, Stockolm 2004; 2004.
53. Nelson · 2009