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An analytical expression of reliability solution for Druker-Prager criterion

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  • Department of Architecture and Civil Engineering, Logistical Engineering University, Chongqing 400041, P. R. China

Received date: 2006-10-30

  Revised date: 2007-11-19

  Online published: 2008-01-18

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.

Cite this article

ZHANG Lang;LIU Dong-sheng;SONG Qiang-hui;LIU Shan-wen . An analytical expression of reliability solution for Druker-Prager criterion[J]. Applied Mathematics and Mechanics, 2008 , 29(1) : 121 -128 . DOI: 10.1007/s10483-008-0114-z

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