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众所周知,岩石类材料的强度具有统计特性,即使试验条件严格控制,但结果仍呈现很大的分散性,这是材料本身结构中各种尺度缺陷随机分布和随机长大的必然结果,必须用概率的非确定性的方法来处理。早期,W.Weibull(1939)应用最弱环原理对强度的统计理论作了基础性的工作,后经Gumbel(1958)、Bolotin(1965)、Batdorf(1974)、Jayatilaka和Trustrum(1977)、Provan(1987)等人的发展,逐渐形成了统计断裂力学这一学科。
As we all know, the strength of rock materials has statistical characteristics. Even if the experimental conditions are strictly controlled, the results still show great dispersion. This is an inevitable result of the random distribution and random growth of defects at various scales in the structure of the material itself. The probability must be used. The non-deterministic method to deal with. Earlier, W. Weibull (1939) applied the weakest ring principle to the basic theory of intensity statistics, followed by Gumbel (1958), Bolotin (1965), Batdorf (1974), Jayatilaka, and Trustrum (1977), Provan. (1987) and others have gradually formed the discipline of statistical fracture mechanics.