Small sample test approach for obtaining P-S-N curves based on a unified mathematical model

Gao, Jianxiong; Yuan, Yiping

doi:10.1177/0954406220925845

Cited by 10 publications

(3 citation statements)

References 29 publications

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“…The Bayes principle can be combined with the prior information of the data to analyze the distribution law of the data. When assessing the fusion effect after data fusion, the S-N curve, or P-S-N curve, is mostly used for testing [ 14 ]. For a small sample size, it is difficult to determine the prior distribution reasonably, and the calculation is complicated.…”

Section: Introductionmentioning

confidence: 99%

Fatigue Life Data Fusion Method of Different Stress Ratios Based on Strain Energy Density

Wang,

Yao,

Zhang

et al. 2024

Materials

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To accurately evaluate the probabilistic characteristics of the fatigue properties of materials with small sample data under different stress ratios, a data fusion method for torsional fatigue life under different stress ratios is proposed based on the energy method. A finite element numerical modeling method is used to calculate the fatigue strain energy density during fatigue damage. Torsional fatigue tests under different stresses and stress ratios are carried out to obtain a database for research. Based on the test data, the Wt-Nf curves under a single stress ratio and different stress ratios are calculated. The reliability of the models is illustrated by the scatter band diagram. More than 85% of points are within ±2 scatter bands, indicating that the fatigue life under different stress ratios can be represented by the same Wt-Nf curve. Furthermore, P-Wt-Nf prediction models are established to consider the probability characteristics. According to the homogeneity of the Wt-Nf model under different stress ratios, we can fuse the fatigue life data under different stress ratios and different strain energy densities. This data fusion method can expand the small sample test data and reduce the dispersion of the test data between different stress ratios. Compared with the pre-fusion data, the standard deviations of the post-fusion data are reduced by a maximum of 21.5% for the smooth specimens and 38.5% for the notched specimens. And more accurate P-Wt-Nf curves can be obtained to respond to the probabilistic properties of the data.

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Section: Introductionmentioning

confidence: 99%

Fatigue Life Data Fusion Method of Different Stress Ratios Based on Strain Energy Density

Wang,

Yao,

Zhang

et al. 2024

Materials

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“…10,11 Currently, small sample problems have been studied in various fields, including water engineering, aviation, mechanical engineering, and biological engineering. [12][13][14][15] Researchers have proposed different methods to address the unique features of small sample problems, including benchmark methods, 16 machine learning, 17 support vector machines, 18 Monte Carlo methods, 19 Bayesian methods, 20,21 bootstrap methods, 22,23 Bayesian bootstrap methods, 24 and so forth. Among these methods, the bootstrap method is the most representative, which was proposed by Eforn based on the Jackknife method 25,26 using the concept of summary resampling.…”

Section: Introductionmentioning

confidence: 99%

Uncertainty for fatigue life of low carbon alloy steel based on improved bootstrap method

Liu

et al. 2023

Fatigue Fract Eng Mat Struct

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Fatigue testing is a crucial technique for assessing the fatigue performance of materials and components. However, the testing process often involves numerous uncertainties, such as variations in part roughness and size, and the collected data typically constitutes small samples. This paper proposes an improved bootstrap method with cycle of uncertainty to address the limitations of traditional bootstrap methods in estimating uncertainties in small sample sizes. The proposed method was applied to estimate the effect of surface roughness and common normal size on fatigue tests, resulting in improved estimation accuracy. The research contributes to the development of improved methods for fatigue life estimation, which has practical implications for mechanical component design and optimization.

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“…It is easier to acquire a more accurate amplitude of equivalent stress even if the statistical data from the fatigue tests is insufficient [12]. Gao also established an empirical model upon the decreasing fatigue strength to simplify the test of the S-N curve with much fewer data samples than before, whatever for materials or components with given structures [13].…”

Section: Introductionmentioning

confidence: 99%

Fatigue Models Based on Real Load Spectra and Corrected S-N Curve for Estimating the Residual Service Life of the Remanufactured Excavator Beam

Zhao

Xiao

Zhou

2021

Metals

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To more accurately predict the residual fatigue cycles and estimate the service life of the remanufactured excavator, the fatigue models integrating the corrected S-N curve, the RFC algorithm, the FEA model, and the mechanism dynamic model are established depending on the real load spectra under experimental working conditions and the corrected S-N curve of the beam metal remanufactured with the welding process. Depending on the test data of the unidirectional stress history and the servo displacements of the major cylinders, the mechanism dynamic model was first established to illustrate the real load spectra applied on the pivots of the working beam. The load spectra are further used in the finite element analysis (FEA) model to obtain the stress contours of the beam relevant to the sampling time, which is the stress spectra at any nodes on the beam in theory. Subsequently, the rain flow counting (RFC) algorithm based on the dual parameters of the cyclic stress amplitude and mean is established to provide the frequency spectra in the longevity region on the beam. Furthermore, due to the fatigue property changes of the beam metal remanufactured with the welding process, its S-N curve is corrected based on the detail fatigue rating (DFR) method to compute the stress cycles at each stress level on the crisis nodes. Finally, the total stress cycles that can be burdened by the remanufactured beam is computed under the Miner’s linear fatigue cumulative criterion. The total number of stress cycles is eventually converted to the fatigue and service life depending on the proportion of the sampling time under relevant working conditions. The results show that integrated fatigue models provide a practical approach to enhancing the accuracy of the estimation on the residual service life of the remanufactured excavator beam. It is significant for improving the reliability and safety of the remanufactured excavator.

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Small sample test approach for obtaining P-S-N curves based on a unified mathematical model

Cited by 10 publications

References 29 publications

Fatigue Life Data Fusion Method of Different Stress Ratios Based on Strain Energy Density

Fatigue Life Data Fusion Method of Different Stress Ratios Based on Strain Energy Density

Uncertainty for fatigue life of low carbon alloy steel based on improved bootstrap method

Fatigue Models Based on Real Load Spectra and Corrected S-N Curve for Estimating the Residual Service Life of the Remanufactured Excavator Beam

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