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.
- 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:
- 作者单位:Department of Architecture and Civil Engineering, Logistical Engineering University,Chongqing 400041, P. R. China