Abstract

It is significant to clarify the reasonable value range of damage stress in the brittle failure process of rock to predict rock instability, such as collapse and landslide. Previous studies on damage stress were mostly limited to the statistical analysis of results obtained through laboratory rock mechanics experiments, and relevant theoretical studies are urgently needed. This study first derived the theoretical expression of the ratio of the rock damage stress to the peak stress σ_cd/σ_f by combining the three dimensional renormalization group model established by the proper stress transfer mechanism with the rock damage constitutive model, and obtained its theoretical range. Then, the rationality of the theoretical results was tested by analyzing the statistical results obtained through laboratory rock mechanics experiments for samples with different lithologies under different confining pressures. The reasonable value range of σ_cd/σ_f for describing the brittle failure of rock under compression is [0.76, 0.93]. The reasons for some experimentally obtained σ_cd/σ_f values falling outside of the reasonable range are discussed. The findings of this study can be useful for the investigation of disaster mechanisms and the development of rock mass instability prediction models.

中文翻译：

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岩石受压脆性破坏时损伤应力的合理取值范围

摘要

明确岩石脆性破坏过程中损伤应力的合理取值范围，对于预测岩石崩塌、滑坡等失稳具有重要意义。以往对损伤应力的研究大多局限于对实验室岩石力学实验结果的统计分析，迫切需要相关的理论研究。本研究首先将适当应力传递机制建立的三维重整化群模型与岩石损伤本构模型相结合，推导了岩石损伤应力与峰值应力之比σ _cd / σ _f的理论表达式，并得到了其理论表达式。范围。然后，通过对不同岩性样品在不同围压下的室内岩石力学实验统计结果进行分析，检验了理论结果的合理性。描述岩石受压脆性破坏的σ _cd / σ _f合理取值范围为[0.76，0.93]。讨论了一些实验获得的σ _cd / σ _f值落在合理范围之外的原因。这项研究的结果可用于灾害机制的调查和岩体失稳预测模型的开发。