An analytical expression of reliability solution for Druker-Prager criterion

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An analytical expression of reliability solution for Druker-Prager criterion

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 oefficients of variation of strength parameters are great, thcir influences on the reliabil- ity 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.

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作 者: ZHANG Lang LIU Dong-sheng SONG Qiang-hui LIU Shan-wen  
作者单位:Department of Architecture and Civil Engineering, Logistical Engineering University,Chongqing 400041, P. R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(1) 
分类号:TU91 O211.9 
关键词:Drucker-Prager criterion   strength parameters   random variables   reliability  
机标关键词:rock massreliability theoryrandom variables 
基金项目: 
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