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Failure Probability Model considering the Effect of Intermediate Principal Stress on Rock Strength

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  • Yonglai Zheng
  • Shuxin Deng

Abstract

A failure probability model is developed to describe the effect of the intermediate principal stress on rock strength. Each shear plane in rock samples is considered as a micro-unit. The strengths of these micro-units are assumed to match Weibull distribution. The macro strength of rock sample is a synthetic consideration of all directions’ probabilities. New model reproduces the typical phenomenon of intermediate principal stress effect that occurs in some true triaxial experiments. Based on the new model, a strength criterion is proposed and it can be regarded as a modified Mohr-Coulomb criterion with a uniformity coefficient. New strength criterion can quantitatively reflect the intermediate principal stress effect on rock strength and matches previously published experimental results better than common strength criteria.

Suggested Citation

  • Yonglai Zheng & Shuxin Deng, 2015. "Failure Probability Model considering the Effect of Intermediate Principal Stress on Rock Strength," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, November.
    • Handle: RePEc:hin:jnlmpe:960973
    DOI: 10.1155/2015/960973
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