Relation between the Mogi and the Coulomb failure criteria
Relation between the Mogi and the Coulomb failure criteria
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DOI：
10.1016/j.ijrmms.2004.11.004
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发表时间：
2005-04-01
影响因子：
7.2
通讯作者：
Zimmerman, RW
中科院分区：
文献类型：
--
作者：
Al-Ajmi, AM;Zimmerman, RW
岩石力学文献中有许多已发展起来的剪切破坏准则。在这些准则中，莫尔-库仑准则是最常用的在实践中。这一标准有两个主要组成部分。第一个假设是，在破坏时，大主应力σ1是小主应力σ3的线性增加函数：该准则的第二个方面是假设中间主应力σ2的值对岩石强度没有影响。近年来，越来越多的证据表明，中间主应力确实对岩石强度有影响[1，2，4，5，8，9]。Mogi [2]在多轴压缩试验的基础上，提出了考虑σ2对岩石破坏影响的破坏准则。然而，Mogi失效准则的有用性仍然是争论的主题[8，9]。特别是Mogi准则的幂律形式受到批评，因为它的两个参数无法与库仑破坏定律的标准参数（例如粘聚力和内摩擦角）联系起来。本文首先回顾并定义了库仑、莫尔和Mogi破坏准则。然后，我们检查了八种岩石的已发表数据，并表明Mogi准则的线性形式基本上与更好地代表多轴破坏数据一样好。
The rock mechanics literature is rich with a number of shear failure criteria that have been developed. Among these criteria, the Mohr–Coulomb criterion is the most commonly used in practice. There are two major components of this criterion. The first is the assumption that, at failure, the major principal stress σ1 is a linearly increasing function of the minor principal stress, σ3: The second aspect of this criterion is the assumption that the value of the intermediate principal stress, σ2; has no influence on the rock strength. In recent years, much evidence has been accumulating to suggest that the intermediate principal stress does indeed have an influence on rock strength [1, 2, 4, 5, 8, 9]. Based on some polyaxial compression tests, Mogi [2] suggested a failure criterion that considered the influence of σ2 on rock failure. Nevertheless, the usefulness of the Mogi failure criterion remains the subject of debate [8, 9]. In particular, the power-law form of the Mogi criterion has been criticised because its two parameters cannot be related to the standard parameters of the Coulomb failure law, such as the cohesion and the angle of internal friction.In this paper, we first review and define the Coulomb, Mohr and Mogi failure criteria. We then examine published data from eight rocks, and show that a linear form of the Mogi criterion does essentially as good a job of representing polyaxial failure data as does the more