Abstract:The origin and development of fuzzy stochastic damage mechanics are introduced in order to interpret and describe damage mechanics more essentially with the analysis of harmony of damage conception,probability,fuzzy degree of membership in interval[0,1]. Three kinds of fuzzy conditions of damage variables are formulated and translated by analyzing damage variable generalized uncertain essentiality;the corresponding fuzzy mapping distributions,namely,half depressed distribution,swing distribution,combined swing distribution,by which the fuzzy evolving processes of stochastic damage with different forms can be discussed,were put forward;and the fuzzy process of the stochastic damage variables is realized during adaptive generation and formation. Furthermore,by the demonstration of damage variable¢s generalized probabilistic characteristics,according to the expansion theory and the theory and definition that damage variable accords with b probability distribution,the integrations of CDF,PDF for stochastic damage variable in fuzzy sets are modified. At the same time,combining with the equivalent normalization theory,three kinds of fuzzy stochastic damage functional are introduced into constitutive model to realize the sync analysis of reliability of fuzzy stochastic finite element method and fuzzy stochastic damage in fuzzy sets;and the damage model is clarified. 3D fuzzy stochastic damage mechanical characters of Longtan rolled-concrete dam are researched by self-developed fuzzy stochastic damage finite element method. The statistical dependence and abnormality of the random field parameters are considered comprehensively in fuzzy stochastic damage model. The uncertainty of the damage variable is extended perfectly;and the uncertainties of fuzzy and randomness are introduced into analysis and modeling of continuous damage mechanics rationally and efficiently. The research can provide references for innovation and extension of nondeterministic damage mechanics research and structure reliability analysis.