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Applied Mathematics and Mechanics

, Volume 29, Issue 1, pp 121–128 | Cite as

An analytical expression of reliability solution for Druker-Prager criterion

  • Zhang Lang  (张浪)Email author
  • Liu Dong-sheng  (刘东升)Email author
  • Song Qiang-hui  (宋强辉)
  • Liu Shan-wen  (刘山文)
Article

Abstract

Strength parameters of rock mass are taken as random variables. Based on the reliability theory, an analytical expression of reliability solution for Drucker-Prager criterion is given. The Monte-Carlo method and FORM (first order reliability method) are used to test the correctness of the solution. Some influences of variation of strength parameters on the judging results of Drucker-Prager criterion are discussed by the use of the solution. Conclusions of discussion show that variations of strength parameters have different influences on the reliability probability of Drucker-Prager criterion. When the coefficients of variation of strength parameters are great, their influences on the reliability probability of Drucker-Prager criterion are obvious and can not be neglected. The conclusions of this paper provide a new way for the reliability judgment of yield on rock mass.

Key words

Drucker-Prager criterion strength parameters random variables reliability 

Chinese Library Classification

TU91 O211.9 

2000 Mathematics Subject Classification

60A99 

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Copyright information

© Editorial Committee of Appl. Math. Mech. and Springer-Verlag 2008

Authors and Affiliations

  • Zhang Lang  (张浪)
    • 1
    Email author
  • Liu Dong-sheng  (刘东升)
    • 1
    Email author
  • Song Qiang-hui  (宋强辉)
    • 1
  • Liu Shan-wen  (刘山文)
    • 1
  1. 1.Department of Architecture and Civil EngineeringLogistical Engineering UniversityChongqingP. R. China

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