The probability measure of low-quality concrete is essential for the reliability analysis of concrete structures. However, this problem is usually neglected, and the normal distribution or lognormal distribution is often selected as the probability distribution of concrete strength. In this study, a better solution for this problem is given by theoretically deriving of the Burr distribution based on the stochastic damage model. A large amount of in-situ test data in engineering structures is applied to perform a K-S test of different distribution types and to fit the distribution parameters. As a result, the advantage of Burr distribution in representing the tail probability is explained by both theoretical derivation and fitting results. And the Burr distribution is accepted by the K-S test in every strength grade while the other distribution types are all partly rejected.

中文翻译：

---

基于随机损伤模型和毛刺分布的结构内混凝土强度随机建模

劣质混凝土的概率测量对于混凝土结构的可靠性分析至关重要。然而，这个问题通常被忽视，常常选择正态分布或对数正态分布作为混凝土强度的概率分布。本研究通过基于随机损伤模型的毛刺分布理论推导，给出了该问题的较好解决方案。应用大量工程结构现场试验数据，对不同分布类型进行KS检验，拟合分布参数。因此，理论推导和拟合结果都解释了Burr分布在表示尾部概率方面的优势。毛刺分布在每个强度等级中均被 KS 检验所接受，而其他分布类型均被部分拒绝。