Measurement and estimation of probabilistic fatigue limits using Monte-Carlo simulations

Bai, Xin; Xie, Liyang; Zhang, Ruijin; Guan, Ruoyi; Tong, Anshi; Bai, Enjun

doi:10.1016/j.ijfatigue.2016.10.029

Cited by 12 publications

(6 citation statements)

References 10 publications

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“…Equation ( 6) is the median S-N curve of the material, which can be described by a linear equation in a double logarithmic coordinate. The existed research shows 22 that the dispersion of fatigue life under different stress levels is different. When the stress level is higher, the life dispersion is smaller, and when the stress level is lower, the life dispersion is larger.…”

Section: P-s-n Curves Based On Bootstrap Methods and Life Conversion ...mentioning

confidence: 99%

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

Pan

Liu

et al. 2022

Fatigue Fract Eng Mat Struct

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The small sample data under the highest stress level are augmented based on the improved Bootstrap method, and then the augmented data are converted to sample data under the lower stress levels with the Principle of Fatigue Life Probability Percentiles Consistency. Furthermore, the augmented sample data and the original data are fused into the equivalent large sample data to establish the P-S-N curve with higher accuracy. Meanwhile, a new method for calculating the fatigue damage parameter of the notched specimens is proposed based on the two-point method. A modified P-S-N curve is established to predict the fatigue life of other specimens with different stress concentration coefficients under different stress levels. In addition, the experimental data of three kinds of materials are collected to verify the feasibility and accuracy of the new method. The results show that the predicted fatigue life is in good agreement with the experimental life.

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Section: P-s-n Curves Based On Bootstrap Methods and Life Conversion ...mentioning

confidence: 99%

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

Pan

Liu

et al. 2022

Fatigue Fract Eng Mat Struct

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“…The Monte Carlo simulation is an important statistical tool to analyze fatigue data, since fatigue life is probabilistic and not deterministic. Several studies were conducted based on Nomenclature: a, b, = fatigue material properties; RPD, = relative percentage difference in relation to a reference material; k, = reduction factor of the yield strength; L, = number of stress levels; n, = number of statistical simulations; N, = fatigue life until failure; N av , = average life; N ref , = reference life; n s , = total number of specimens tested; N sim , = simulate life; PR, = percent of replication; RN, = random number; S, = stress; S a , = alternating stress; S H a , = alternating stress admissible for upper stress level; S max , S min , = maximum and minimum stress of the load cycle; STD, = standard deviation; S ut , = ultimate strength; S y , = yield strength Monte Carlo Method, such as Bai et al, 17 Cetin et al 18 and Sanches et al 19 In this paper, an investigation of experimental parameters for a fatigue curve definition is carried out, considering the statistical planning effects on the estimation of the S-N curve and the evaluation of the RPD for a large number of curves simulated using Monte Carlo method. The information presented in this paper has great practical significance, once it was verified that different fatigue test setups (ie, experimental designs) have influence on the quality of S-N curves for the region of finite life.…”

Section: Introductionmentioning

confidence: 99%

“…The results presented herein are impossible to establish just through experimental procedure because fatigue testes are time consuming and expensive. In this context, statistical simulations have been used to evaluate several aspects of fatigue, such as Bai et al, 17 who proposed a new fatigue limit test method based on Monte Carlo simulations.…”

Section: Introductionmentioning

confidence: 99%

Methodology for assessment of statistical planning effects on the S‐N curve determination using Monte Carlo simulations

Goedel

Pravia

Mezzomo

2018

Fatigue Fract Eng Mat Struct

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One of the most important input data in fatigue analysis is the material fatigue properties. This research aims to present a methodology for assessment of statistical planning of fatigue experiments through a MatLab algorithm developed based on Monte Carlo simulations, which enables to simulate statistically the effects of main parameters used for defining the fatigue test setting and to verify their impact on the relative percentage difference (RPD) in fatigue properties estimation comparing to a reference material. The aspects treated here have not been clearly discussed in the standards. Therefore, the proposed recommendations combined with standards procedures is a tool for test engineers, permitting a fatigue test planning with more background and precision, which can help in decisions about which is the better setup, including the sample size, number of stress levels, stress value in each level, and replication. The methodology and good practices presented in this paper were demonstrated by means of actual data from the literature.

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“…The Monte Carlo simulation is an important statistical tool to analyze fatigue data, since fatigue life is probabilistic and not deterministic. Several studies were conducted based on Monte Carlo Method, such as Bai et al 2017, Cetin, Härkegård and Naess 2013and Sanches et al 2015 Some authors already used the term "hybrid approach" for developed methods that use mixed analytics and experimental data. For example, one can refer to Strzelecki and Sempruch 2016a, 2016b and Szala and Ligaj 2016 .…”

Section: Introductionmentioning

confidence: 99%

Fatigue lifespan of a fillet welded joint - Hybrid approach to obtain the S-N curve with a reduced number of tests

Goedel

Mezzomo

Pravia

2018

Lat. Am. j. solids struct.

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This paper introduces a hybrid approach for obtaining S-N curves with reduced number of tests associated to statistically simulated data. In order to validate the proposal, two validation process were developed. One using a methodology to generate S-N curves based on Monte Carlo simulations and other using actual data according Zhao et al. 1998 , allowing to compare the hybrid approach with the experimental curve S-N obtained with high replication. In both validation process, a good accuracy was verified. Subsequently, the fatigue analysis of a fillet welded joint was carried out using finite element analysis to evaluate the cumulative damage and fatigue life, enabling comparison between the proposed method and standard NBR 8800 2008. The results obtained with the proposed methodology allowed more accuracy results and less conservative than standard for the same weld detail class, both for fatigue life and for cumulative fatigue damage evaluations.

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Measurement and estimation of probabilistic fatigue limits using Monte-Carlo simulations

Cited by 12 publications

References 10 publications

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

A study on modified P‐S‐N curve of notched specimens based on small sample under multiaxial loading

Methodology for assessment of statistical planning effects on the S‐N curve determination using Monte Carlo simulations

Fatigue lifespan of a fillet welded joint - Hybrid approach to obtain the S-N curve with a reduced number of tests

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