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作为现代脆性破坏统计理论基础的Ｗｅｉｂｕｌｌ［１］链条强度模型，由于它在数学处理上比较简单，在近十几年来得到了广泛的应用和发展［２－４］。但它有一个显著的缺点，就是没有考虑各个基本计算单元间的相互作用，这在很多情况下，特别是在非均匀应力场的情况下，是引起误差的主要原因。本文在进行大量试验的基础上，提出单元间的单向相邻相关性假设，初步改正了这个重要缺点。虽然得出的计算公式较Ｗｅｉｂｕｌｌ公式略为复杂，但和实验比较，则精度有明显提高。脆性破坏统计理论中的另一个重要问题，是对破坏强度分布律的研究。本文根据对大量试验数据的分析，建议了一个破坏模型，并作了理论推导，得到强度分布律是服从正态分布的。
The Weibull [1] chain strength model, which is the basis of modern brittle failure statistics theory, has been widely applied and developed in recent decades due to its relatively simple mathematical processing [2-4]. However, it has a significant drawback, that is, it does not consider the interactions between the various basic computing units. This is the main cause of errors in many cases, especially in the case of non-uniform stress fields. On the basis of a large number of experiments, this paper proposes a one-way adjoining assumption of inter-unit correlation, and initially corrects this important shortcoming. Although the calculated formula is slightly more complex than the Weibull formula, the precision is significantly improved when compared with the experimental one. Another important issue in the theory of brittle failure statistics is the study of the law of failure intensity distribution. Based on the analysis of a large number of experimental data, this paper proposes a damage model and makes a theoretical derivation. It is found that the law of intensity distribution obeys the normal distribution.