Acta Mechanica Solida Sinica

, Volume 28, Issue 5, pp 536–555 | Cite as

Uncertainty Analysis of Rock Failure Behaviour Using an Integration of the Probabilistic Collocation Method and Elasto-Plastic Cellular Automaton

  • Pengzhi Pan
  • Fangsheng Su
  • Haijun Chen
  • Shilin Yan
  • Xiating Feng
  • Fei Yan


The Karhunen-Loeve (KL) expansion and probabilistic collocation method (PCM) are combined and applied to an uncertainty analysis of rock failure behavior by integrating a sell-developed numerical method (i.e., the elastic-plastic cellular automaton (EPCA)). The results from the method developed are compared using the Monte Carlo Simulation (MCS) method. It is concluded that the method developed requires fewer collocations than MCS method to obtain very high accuracy and greatly reduces the computational cost. Based on the method, the elasto-plastic and elasto-brittle-plastic analyses of rocks under mechanical loadings are conducted to study the uncertainty in heterogeneous rock failure behaviour.

Key Words

uncertainty analysis probabilistic collocation method elasto-plastic cellular automaton Karhunen-Loeve expansion rock failure process PCM-EPCA 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2015

Authors and Affiliations

  • Pengzhi Pan
    • 1
  • Fangsheng Su
    • 1
  • Haijun Chen
    • 2
  • Shilin Yan
    • 2
  • Xiating Feng
    • 1
  • Fei Yan
    • 1
  1. 1.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil MechanicsChinese Academy of SciencesWuhanChina
  2. 2.School of ScienceWuhan University of TechnologyWuhanChina

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