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.
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Zhang, L., Liu, Ds., Song, Qh. et al. An analytical expression of reliability solution for Druker-Prager criterion. Appl. Math. Mech.-Engl. Ed. 29, 121–128 (2008). https://doi.org/10.1007/s10483-008-0114-z
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DOI: https://doi.org/10.1007/s10483-008-0114-z