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An Effective Bayesian Method for Probability Fatigue Crack Propagation Modeling through Test Data

机译：一种通过测试数据的概率疲劳裂纹传播建模的有效贝叶斯方法

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摘要

Fatigue crack growth test for 2A12-T4 aluminum alloy was conducted under constant amplitude loading, and the scatter of fatigue crack growth was analyzed by using experimental data based on mathematical statistics. A probabilistic modeling method was introduced to describe the crack growth behavior of 2A12-T4 aluminum alloy. The posterior distribution of model parameter is obtained based on diffuse prior distribution and fatigue crack test data, which is through Bayesian updating. Based on posterior samples of model parameter, the simulation steps and approach give us the crack length exceedance probability, the cumulative distribution function of loading cycle number, and scatter of crack length and loading cycle number, of which simulation results were used to verify the veracity and superiority of the proposed model versus the experimental results. In the present study, it can be used for the reliability assessment of aircraft cracked structures.
机译：在恒定幅度载荷下进行2A12-T4铝合金的疲劳裂纹生长试验，通过使用基于数学统计的实验数据分析疲劳裂纹生长的散射。引入了概率的造型方法来描述2A12-T4铝合金的裂纹生长行为。基于漫反射的先前分布和疲劳裂纹测试数据获得了模型参数的后部分布，这是通过贝叶斯更新的疲劳裂缝测试数据。基于模型参数的后样品，模拟步骤和方法给了我们裂缝长度超过概率，加载周期数的累积分布函数，以及裂缝长度和加载循环编号的散射，其中模拟结果用于验证真实性提出模型的优越性与实验结果相比。在本研究中，它可用于飞机破裂结构的可靠性评估。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第5期|7843627.1-7843627.11|共11页
  • 作者

    Du Xu; He Yuting; Zhang Tianyu; Gao Chao; Zhang Teng; Zhang Sheng;

  • 作者单位

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China;

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China;

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China;

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China|Beijing Aeronaut Technol Res Ctr Beijing 100076 Peoples R China;

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China;

    Air Force Engn Univ Xian 710038 Shaanxi Peoples R China;

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