An interval analysis method for fatigue crack growth life prediction with uncertainty

Long, Xiangyun; Jiang, Chao; Liu, K.; Han, Xu; Gao, Wei; Li, B.C.

doi:10.1016/j.compstruc.2018.09.005

Cited by 35 publications

(14 citation statements)

References 47 publications

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“…The risk of a catastrophic failure was reduced based on the initial crack size distribution and specified fatigue life to ensure safety and reliability of fatigue crack structures. The objective of the fatigue design was to define the lifetime inspections interval before the catastrophic failure begins based on the confidence bounds [53]. The estimation of scheduled interval inspections was achieved in this analysis according to the safety of factors.…”

Section: Resultsmentioning

confidence: 99%

“…The confidence bounds for the results are calculated depending on the mean and standard deviation of the random parameters by BootstrapS-FEM. The lower and upper bounds are utilised in the prediction of fatigue life based on the variation of ranges of uncertain parameters [53,70]. The bounds are allowed to solve problems that exist for predicting the remaining fatigue life of cracked structures in a reliable and efficiency way [70].…”

Section: Resultsmentioning

confidence: 99%

“…The prediction of lower and upper bounds from the random samples are important based on the varied ranges of uncertain parameters [52]. The bounds can reduce a large error in the prediction which significantly affects the accuracy of prediction for uncertain interval parameters [53].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Fatigue crack growth analysis using Bootstrap S-version finite element model

Husnain

Akramin

Chuan

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The objective of this paper was to predict the fatigue life, surface crack and initial flaw size distribution of fatigue surface crack growth. A statistical analysis is carried out to evaluate the distributions of initial flaw size as an input uncertain parameter. The prediction of remaining life to schedule the maintenance is important to prevent serious accidents from occurring. The three-point and four-point bendings are analysed using the Bootstrap S-version finite element model (BootstrapS-FEM) whereby the bootstrap resampling method is embedded into S-version finite element model. The validation process is conducted between the predictions, deterministic and previous experimental results. The BootstrapS-FEM with lognormal distribution shows a more accurate trend against normal distribution based on the coefficient of determination, normalised root-mean-square error and mean absolute percentage error. The prediction of fatigue life for three-point and four-point bendings by BootstrapS-FEM was well compared with previous experimental results within range from 5 to 17% of percentage errors. These errors were acceptable to the purpose of prediction which are less than 20%. The uncertainties in structural components are considered by the upper and lower bounds in probabilistic analysis. The BootstrapS-FEM results show a better agreement with previous experimental results and deterministic solutions. Initial flaw size distributions are evaluated to prior scheduled inspection for the prevention of a catastrophic failure. The risk of a catastrophic failure can be evaluated based on the initial crack size distribution and specified fatigue life for ensuring safety and reliability of the fatigue crack structures. Keywords Fatigue • Crack growth • S-version finite element model • Bootstrap resampling method • Probabilistic analysis List of symbols a Initial crack depth B n Bootstrap samples c Initial crack length C Paris coefficient c C I Constant of VCCM c cr Critical crack length da Crack growth increment da∕dN Crack growth rate E Young's modulus of elasticity G Total Total energy release rate G I,II,III Energy release rate for mode I, II and III i Number of nodes along the crack tip K I,II,III Stress intensity factor for mode I, II and III n Fatigue power parameter N, n Sample size P I i

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Fatigue crack growth analysis using Bootstrap S-version finite element model

Husnain

Akramin

Chuan

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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show abstract

“…Xie et al [ 21 ] used the interval parameters in order to establish the fatigue characteristics model under different stress states, and realized the fatigue characteristic standardization model based on the new interval analysis method, which solved the problems of insufficient sampling performance, low precision and insufficient stability of test equipment. In order to realize the calculation of parameters with boundaries but uncertain sizes, Guerine et al [ 22 ] proposed an interval analysis method of dynamic response from a wind turbine gear system; Long et al [ 23 ] proposed an interval analysis method of fatigue crack growth life prediction; and Liu et al [ 24 ] proposed an interval uncertainty analysis method of structural static response. Galván et al [ 25 ] obtained the best solution when designing dynamic systems by introducing interval analysis theory.…”

Section: Introductionmentioning

confidence: 99%

Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number

2021

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There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering the uncertainty of the design parameters, the data with boundaries but uncertain size are expressed in intervals, and then the interval calculation formula for the permanent deformation of the asphalt mixture is derived, and the interval results are obtained. In order to avoid the dependence of interval calculation on the computer code, according to the interval calculation rule, the interval calculation method with the upper and lower end point values as point operations is proposed. In order to overcome the contradiction between interval expansion results and engineering applications, by splitting the multi-interval variable formulas, the interval variable weights are reasonably given, and the synthesis of each single interval result realizes a simplified calculation based on interval variable weight assignment. The analysis results show that the interval calculation method based on the point operation rule is accurate and reliable, and the simplified method based on the interval variable weight assignment is effective and feasible. The simplified interval calculation method proposed in this paper provides a reference for the interval application of road design theory.

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“…Very often, the lower and upper bounds of fatigue life or reliability index are only calculated without a comprehensive evaluation. 13,14 Thus, it is of great practical significance to establish an economic and a reasonably accurate method to evaluate fatigue reliability using the interval uncertainty model.…”

Section: Introductionmentioning

confidence: 99%

Weak ternary interval evaluation of fatigue life and its application to mining dump truck

et al. 2020

Fatigue Fract Eng Mat Struct

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A method of weak ternary interval (TI) evaluation of fatigue life is proposed in this study to reasonably evaluate the nonprobabilistic reliability considering the interval uncertainty. The conventional interval is extended into a TI by introducing an expected value, that is, a value without uncertainty, as the third parameter of the interval to deal with the deviation between the expected value and the median value of the interval. Next, the TI of fatigue life is evaluated by introducing an index of attitude in the exponential function to weaken the unimportant upper bound and deal with the overconservative lower bound. Therefore, the evaluation is reflected in the form of an equivalent fatigue life as an indicator of the nonprobabilistic reliability. Next, the TIs of the fatigue parameters are obtained with limited fatigue test data from a practical engineering application. Finally, the proposed method is applied to a mining dump truck frame to demonstrate its significance and validity.

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An interval analysis method for fatigue crack growth life prediction with uncertainty

Cited by 35 publications

References 47 publications

Fatigue crack growth analysis using Bootstrap S-version finite element model

Fatigue crack growth analysis using Bootstrap S-version finite element model

Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number

Weak ternary interval evaluation of fatigue life and its application to mining dump truck

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