Fatigue reliability analysis for structures with hybrid uncertainties combining quadratic response surface and polynomial chaos expansion
Source abstract
Abstract
Abstract This study attempted to propose a novel efficient and accurate uncertainty analysis method for structural fatigue life prediction with hybrid uncertainties. First, PCE was adopted to deal with independent normal random variables, where polynomial coefficients were expressed as quadratic functions of interval variables. In order to determine unknown coefficients, a SCC collocation technique was applied combining with LHS. Interval bounds of the corresponding mean value and standard variance were then deduced, after which a fatigue reliability analysis method was proposed. Finally, three numerical examples were implemented to validate the feasibility and efficiency of the proposed method.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Probabilistic and Robust Engineering Design · Fatigue and fracture mechanics · Wind and Air Flow Studies
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (54)
Show source-provided references
1. Probabilistic fatigue life prediction of multi-directional composite laminates10.1016/j.compstruct.2004.04.012 ↗
2. Fatigue delamination growth rates, and thresholds of composite laminates under hybridmode loading10.1016/j.ijfatigue.2012.01.008 ↗
3. Stochastic fatigue damage modeling under variable amplitude loading10.1016/j.ijfatigue.2006.09.009 ↗
4. Fatigue life prediction method for the practical engineering use taking in account the effect of the overload blocks10.1016/j.ijfatigue.2016.04.006 ↗
5. Probabilistic shape design optimization of structural components under fatigue10.1016/j.compstruc.2016.12.008 ↗
6. Robust optimization design for fatigue life10.1016/j.finel.2011.05.009 ↗
7. A new damage mechanics based approach to fatigue life prediction and its engineering application10.1016/S0894-9166(15)30046-X ↗
8. Fatigue life and early cracking predictions of extruded AZ21B magnesium alloy using critical plane approaches10.1016/j.ijfatigue.2016.04.002 ↗
9. A physical model and constitutive equations for complete characterization of S-N fatigue behavior of metals10.1016/j.actamat.2016.09.001 ↗
10. Mean stress effects in strain life fatigue10.1111/j.1460-2695.2009.01404.x ↗
11. Prediction of stress-life curve of a material under random or cyclic loading with asymmetry10.1016/j.proeng.2015.12.151 ↗
12. Fatigue life predictions using fracture mechanics methods10.1016/j.engfracmech.2008.07.008 ↗
13. A fatigue stress-life damage accumulation model for variable amplitude fatigue loading based on virtual target life10.1016/j.engstruct.2013.03.001 ↗
14. A statistically consistent fatigue damage model based on Miner’s rule10.1016/j.ijfatigue.2013.04.006 ↗
15. Estimating probabilistic fatigue of Nitinol with scarce samples10.1016/j.ijfatigue.2015.11.022 ↗
16. Probabilistic simulation of fatigue damage and life scatter of metallic components10.1016/j.ijplas.2012.11.001 ↗
17. A probabilistic methodology for fatigue life prediction10.1016/S1359-6454(03)00172-1 ↗
18. Probabilistic fatigue S-N curves including the super-long life regime of a railway axle steel10.1016/j.ijfatigue.2009.04.016 ↗
19. Predicting stochastic characteristics of generalized eigenvalues via a novel sensitivity-based probability density evolution method10.1016/j.apm.2020.06.060 ↗
20. Uncertainty quantification and model validation of fatigue crack growth prediction10.1016/j.engfracmech.2011.02.017 ↗
21. Assessment of uncertainties in life prediction of fatigue crack initiation and propagation in welded rails10.1016/j.ijfatigue.2009.03.024 ↗
22. Weibull modeling of the probabilistic S-N curves for rolling contact fatigue10.1016/j.ijfatigue.2014.03.008 ↗
23. Evaluation of the probability distribution of crack propagation life in metal fatigue by means of probabilistic finite element method and B-models10.1016/S0013-7944(99)00053-3 ↗
24. Enhanced B-PFEM model for fatigue life prediction of metals during crack propagation10.1016/S0927-0256(02)00246-X ↗
25. Measurement and estimation of probabilistic fatigue limits using Monte-Carlo simulations10.1016/j.ijfatigue.2016.10.029 ↗
26. Fatigue life prediction of adhesive joint in heat sink using Monte Carlo method10.1016/j.ijadhadh.2014.01.018 ↗
27. Fatigue reliability of deck structures subjected to correlated crack growth10.1007/s11804-013-1212-z ↗
28. Probabilistic life assessment on fatigue crack growth in mixed-mode by coupling of Kriging model and finite element analysis10.1016/j.engfracmech.2015.03.040 ↗
29. A reliability analysis method for fatigue design10.1016/j.ijfatigue.2013.08.004 ↗
30. Estimation of fatigue S-N curves of welded joints using advanced probabilistic approach10.1016/j.ijfatigue.2016.12.032 ↗
31. Development of a reliability-based fatigue life model for gas turbine engine structures10.1016/0013-7944(95)00138-7 ↗
32. A response-surface-based structural reliability analysis method by using non-probability convex model10.1016/j.apm.2013.11.053 ↗
33. Structural design optimization based on the moving baseline strategy
34. Uncertainties in dynamic soil-structure interaction
35. Slope reliability and response surface method10.1061/(ASCE)0733-9410(1985)111:1(32) ↗
36. A response surface approach for reliability analysis
37. A fast and efficient response surface approach for structural reliability problems10.1016/0167-4730(90)90012-E ↗
38. On the accuracy of the polynomial chaos approximation10.1016/j.probengmech.2003.11.017 ↗
39. A stochastic collocation approach for efficient integrated gear health prognosis10.1016/j.ymssp.2013.03.004 ↗
40. Wiener chaos expansions for estimating rain-flow fatigue damage in randomly vibrating structures with uncertain parameters10.1016/j.probengmech.2010.09.002 ↗
41. Stochastic fracture mechanics using polynomial chaos10.1016/j.probengmech.2013.04.002 ↗
42. Probabilistic fatigue life prediction considering the uncertainty of S-N curve
43. Fatigue crack propagation analysis in structures with random parameters based on polynomial chaos expansion method10.1016/j.tafmec.2019.102404 ↗
44. Random fatigue crack growth in hybridmode by stochastic collocation method10.1016/j.engfracmech.2010.07.015 ↗
45. A non-probabilistic time-variant reliable control method for structural vibration suppression problems with interval uncertainties10.1016/j.ymssp.2018.05.039 ↗
46. A Novel Method of Distributed Dynamic Load Identification for Aircraft Structure Considering Multi-source Uncertainties
47. A sparse grid stochastic collocation method for elliptic partial differential equations with random input data10.1137/060663660 ↗
48. Polynomial chaos expansion for sensitivity analysis10.1016/j.ress.2008.10.008 ↗
49. High-order collocation methods for differential equations with random inputs10.1137/040615201 ↗
50. Comparison of the reliability-based and safety factor methods for structural design10.1016/j.apm.2019.03.018 ↗
51. P Thoft-Christensen, M J Baker. Structural reliability theory and its applications. Springer, Heidelberg, 1982. doi:10.1007/978-3-642-68697-9_11.10.1007/978-3-642-68697-9 ↗
52. Combination of structural reliability and interval analysis10.1007/s10409-007-0111-4 ↗
53. First order reliability method with truncated random variables10.1115/1.4007150 ↗
54. Z P Qiu, Z S Zhang. Fatigue crack propagation analysis in structures with random parameters based on polynomial chaos expansion method, 2019, 105: 102404. doi:10.1016/j.tafmec.2019.102404.10.1016/j.tafmec.2019.102404 ↗