Critical damage threshold of brittle rock failure based on Renormalization Group theory

An in-depth understanding of damage threshold behavior during rock and failure is critical to predicting short- long-term stability. The percolation theory was used describe the Renormalization Group accurately solve theoretical solution brittle failure. By redefining stress-transfer mechanism between blocks, expression calculated based on theory. experimental investigation shale samples by in-situ micro-computed tomography carried out verify expression. values experimentally were consistent with On this basis, reasonable range limit for mass discussed. laboratory test results different lithologies case studies direct shear tests rockfalls in Mesnil-Val analyzed validate feasibility reveal potential application research results.