Abstract
Abstract The merit of this study is logically bridging the microfractures and the macrodefects by establishing the nonlinear fuzzy functionals. The rational verification of the probabilistic distribution of the generalized damage that has produced the microfractures was provided in this study. The triaxial computed tomography tests were also implemented for the rock specimens. Consequently, the hybrid uncertain models of the generalized damage were created by the expansion criterion. The definition of the certain damage variable derived from the secant modulus degeneration has been compared with the definition of the generalized damage in this study, by which the effectiveness of the hybrid uncertain models was highlighted. The ultimate status function with the nonlinearity was founded in order to realize the simulation of the generalized reliability of the target engineering case. Based on the numerical approach, the generally updated fields were computed. The discreteness and the correlation of the generally updated fields were analyzed as well. The results show that this study has the confidence for engineering application.
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