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A probability fatigue crack growth rate statistical analysis method based on Gaussian distribution

A technology of fatigue crack growth and Gaussian distribution, applied in the field of statistical analysis of probabilistic fatigue crack growth rate based on Gaussian distribution, can solve problems such as not meeting economic requirements, achieve valuable evaluation results, optimize statistical analysis methods, and meet economical requirements required effect

Pending Publication Date: 2019-04-23
SHENYANG JIANZHU UNIVERSITY
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Problems solved by technology

At present, methods of specifying confidence and reliability are commonly used in engineering to evaluate the fatigue crack growth behavior of materials, and the results are often conservative and do not meet the economic requirements.

Method used

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  • A probability fatigue crack growth rate statistical analysis method based on Gaussian distribution
  • A probability fatigue crack growth rate statistical analysis method based on Gaussian distribution
  • A probability fatigue crack growth rate statistical analysis method based on Gaussian distribution

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Embodiment

[0089] The statistical analysis method of probabilistic fatigue crack growth rate based on Gaussian distribution, the steps are as follows:

[0090] The fatigue crack growth rate fitting curve and the corresponding distribution law of each individual sample are obtained by the principle of the least square method. Figure 4 The fitting curves of 4 groups of median values ​​(50% confidence level and 50% reliability level) of different width samples are given. Due to the different properties of the intercepted sample materials, improper test operation and other factors, there are certain errors in the test data of the fatigue crack growth test. The measured test data often present complex mechanical behavior and dispersion. The dispersion of test data makes each The fatigue crack growth behaviors of the samples are different, and the fitting curves of da / dN-ΔK are interlaced. However, the distribution test shows that within the same stress intensity factor range, the logarithm ...

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Abstract

The invention belongs to the field of material fatigue reliability, and particularly relates to a probability fatigue crack growth rate statistical analysis method based on Gaussian distribution. According to the technical scheme, the probabilistic fatigue crack growth rate statistical analysis method based on Gaussian distribution comprises the following steps of 1) obtaining a fatigue crack growth rate median fitting curve of each single sample through a least square method principle; 2) under different stress intensity factor ranges K, performing statistical analysis on the local data, anddrawing a Gaussian distribution curve graph; 3) fitting a p-da / dN-delta K fitting curve with reliability of 99%; and 4) fitting a p-da / dN-delta K fitting curve with reliability of 1%. According to themethod, the probability distribution condition of the fatigue crack growth rate in different intervals can be truly and reasonably presented, and the distribution rule of the mechanical behavior of the material and the dispersity of test data is objectively reflected.

Description

technical field [0001] The invention belongs to the field of material fatigue reliability, and in particular relates to a statistical analysis method of probability fatigue crack growth rate based on Gaussian distribution. Background technique [0002] Fatigue crack growth is an important research content in the field of fatigue fracture. The fatigue crack growth rate is an important basis for judging the damage tolerance analysis of engineering structural materials, and it is also one of the main mechanical properties of metal materials. Considering economical issues, typical standard specimens are often used to replace the overall structure in the research on the fatigue crack growth behavior of materials. Due to the difference in a series of internal factors such as the material's own performance and actual structure, as well as the influence of external factors such as working load and environment, the process of material fatigue crack growth presents complex mechanical ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F2119/06G06F30/20
Inventor 张啸尘孟维迎张宇
Owner SHENYANG JIANZHU UNIVERSITY
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