Abstract The present study is devoted to evolution of rocks in the fracture process. Initially the rock is considered as an ideal medium with no cracks. Rock formation is assumed in the form of a nested self-similar hierarchical structure. The hierarchical structure scheme is chosen in accordance with the experimentally verified criterion of fracture. The failure probability of the lowest structure level represents a function of time, temperature, material parameters and loading conditions. Knowing the failure probabilities of each structure level allows one to calculate the stress dynamics in a rock material, failure volumes for each hierarchy level, energy release, etc. The influence of temperature, type of the hierarchical structure, rock material, stress rate on the fracture dynamics is considered. The results of calculations of the rock fracture dynamics are compared with the results of experiments. This study can be seen as an attempt to explain the stability of the Gutenberg-Richter law.

中文翻译：

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作为分层结构破坏过程的岩石损伤演化

摘要 本研究致力于岩石在断裂过程中的演化。最初，岩石被认为是没有裂缝的理想介质。岩层假定为嵌套的自相似层次结构。根据实验验证的断裂准则选择分层结构方案。最低结构层的失效概率代表时间、温度、材料参数和载荷条件的函数。了解每一层结构的破坏概率，就可以计算岩石材料的应力动力学、每一层的破坏体积、能量释放等。 温度、层结构类型、岩石材料、应力率对岩石材料的影响考虑断裂动力学。将岩石断裂动力学的计算结果与实验结果进行了比较。这项研究可以看作是试图解释古腾堡-里希特定律的稳定性。