A methodology to determine a conditional probability density distribution surface from S–N data

Zhai, Jianming; Li, Xiaoyang

doi:10.1016/j.ijfatigue.2012.05.008

Cited by 30 publications

(12 citation statements)

References 21 publications

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“…A large number of experiments have confirmed that the standard deviation of fatigue life will get larger as the stress level drops [18][19][20] (as shown in Figure 1). This phenomenon indicates that the P-S-N curves of materials are not parallel to each other, but present a downward opening bell shape.…”

Section: Basic Assumptionsmentioning

confidence: 78%

A new method for obtaining P-S-N curves under the condition of small sample

Gao

Liu

2017

Proceedings of the Institution of Mechanical Engineers, Part O:

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The P-S-N curves are the traditional tool for design against fatigue, which can be transformed into straight lines in the double logarithm coordinate system. There is a widely accepted assumption that the P-S-N curves will intersect at one point if they are extended to the high-stress or low-fatigue life zone. Based on this assumption and from a perspective of geometry, a new method for obtaining P-S-N curves under the condition of small sample is proposed. The proposed method makes it possible to obtain the P-S-N curves by a unified mathematical expression. The validity of the proposed method is verified by the fatigue test data of aluminum alloy 2524-T3. The result indicates that the P-S-N curves obtained by the proposed method with 17 samples agree well with those obtained by the traditional group test method with 59 samples. By comparison, the number of samples and the fatigue test time are reduced by 71.19%, while the average relative error is less than 5%.

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Section: Basic Assumptionsmentioning

confidence: 78%

A new method for obtaining P-S-N curves under the condition of small sample

Gao

Liu

2017

Proceedings of the Institution of Mechanical Engineers, Part O:

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“…They also revealed that induced compressive residual stresses increased the surface hardness and increased the dislocation density, which provided an improvement in the fatigue strength. Zhai and Li [3] performed a conditional probability density distribution surface, by two functions such as a function of the mean value of the population and the stress level and the other one was a function of the standard deviation and the stress level. They also proposed a theoretical fatigue limit, according to the small probability event.…”

Section: Matec Web Of Conferences 165 10012 (2018)mentioning

confidence: 99%

“…Such engine components are subjected to the fatigue phenomenon, due to constant amplitude loading, during their usage. On the other hand, fatigue test results (S-N data) usually expose remarkable scatters, even when tests are intently performed to diminish the experimental error [2][3][4]. As a result of this inherent variation in fatigue data, median S-N fatigue lifetime curves are not adequate for the fatigue analysis in order to design components [4].…”

Section: Introductionmentioning

confidence: 99%

Reliability prediction, scatter-band analysis and fatigue limit assessment of high-cycle fatigue properties in EN-GJS700-2 ductile cast iron

Khameneh

Azadi

2018

MATEC Web Conf.

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In this article, high-cycle fatigue properties of the EN-GJS700-2 ductile cast iron were experimentally examined, using the four-point rotary-bending fatigue machine. Such material has been widely utilized for manufacturing crankshafts in automotive industries. Therefore, standard specimens were extracted from the crankshaft to consider the manufacturing effect. The other aim of this work is to develop a model, anticipating the probabilistic behavior of the EN-GJS700-2 ductile cast iron. For such objective, the parametric analysis of the most commonly used statistical distributions were performed and compared. Based on the best fitted distribution function on experimental data, fatigue lifetime reliability specifications of the material were analyzed and represented through probabilistic modeling. In addition, the S-N diagram with its scatter-band were conducted at different values of the confidence level. As another investigation, the criterion for designing the crankshaft is the infinite lifetime, or in more practical terms, is the design with allowable stress levels, below the fatigue limit. Based on the staircase test methodology, fatigue endurance limit tests were conducted. Then, statistical trends of the fatigue limit were analyzed by the Dixon-Mood method, based on the maximum likelihood estimation. Obtained results represents that the fatigue limit was 211 MPa for the ductile cast iron.

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“…Xie et al conducted fatigue tests with standard plate specimens under four stress levels and then used backwards statistical inference method to build up P ‐ S‐N curves. Various studies have been focus on this kind of research method because the fatigue test data of standard specimen can be easily available . While, the fatigue tests of component are usually unrealistic due to its large cost, especially for some expensive or large‐scale components.…”

Section: Introductionmentioning

confidence: 99%

“…Various studies have been focus on this kind of research method because the fatigue test data of standard specimen can be easily available. 9,10 While, the fatigue tests of component are usually unrealistic due to its large cost, especially for some expensive or large-scale components. Therefore, it is of great significance to develop an alternative method to figure out fatigue life dispersion of a high temperature component.…”

Section: Introductionmentioning

confidence: 99%

A general framework for fatigue reliability analysis of a high temperature component

Luo

Wang

et al. 2018

Quality & Reliability Eng

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Fatigue reliability analysis for a high temperature component is a complex task due to the difficulties of doing experiments and uncertainties occurring in practical engineering. Researchers usually focus on the fatigue life scatter of standard specimens since the life data are easily available from fatigue tests. An alternative method is proposed in this paper which can replace the real tests of high temperature components with finite element (FE) simulation. A constitutive model coupled damage rule is utilized in this work to describe the cyclic stress‐strain response. Then, the FE simulations is incorporated into the general framework for reliability assessment. An adaptive least squares support vector machines with Latin hypercube sampling and learning function is employed to construct limit state function. To verify the accuracy and robustness of proposed method, a numerical example is utilized. In the end of this paper, a three‐layer structure extrusion container is applied for whole flowchart of fatigue reliability analysis.

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A methodology to determine a conditional probability density distribution surface from S–N data

Cited by 30 publications

References 21 publications

A new method for obtaining P-S-N curves under the condition of small sample

A new method for obtaining P-S-N curves under the condition of small sample

Reliability prediction, scatter-band analysis and fatigue limit assessment of high-cycle fatigue properties in EN-GJS700-2 ductile cast iron

A general framework for fatigue reliability analysis of a high temperature component

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