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

机译：通过测试数据进行概率疲劳裂纹扩展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：在恒定振幅载荷下进行了2A12-T4铝合金的疲劳裂纹扩展测试，并使用基于数学统计的实验数据分析了疲劳裂纹扩展的散度。介绍了一种概率建模方法来描述2A12-T4铝合金的裂纹扩展行为。基于扩散先验分布和疲劳裂纹测试数据，通过贝叶斯更新获得模型参数的后验分布。基于模型参数的后验样本，仿真步骤和方法给出了裂纹长度超过概率，加载周期数的累积分布函数以及裂纹长度和加载周期数的离散度，并通过仿真结果验证了其准确性。提出的模型相对于实验结果的优越性。在本研究中，它可用于飞机裂纹结构的可靠性评估。

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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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