- مبلغ: ۸۶,۰۰۰ تومان
- مبلغ: ۹۱,۰۰۰ تومان
A stochastic model is developed to describe the fracture behaviour of concrete fibres at micro-level, and a probabilistic relation between the fibre strain and the concrete damage variable is established. In this context, the concrete damage evolution can be quantified by two representative random variables. In this regard, the number of random variables employed in potential reliability assessment studies can be greatly reduced. The accuracy of the proposed method is verified by comparing the first- and second-order moments of the stochastic damage evolution with the corresponding closed form solutions. Further, the proposed method is applied to the non-linear analysis and reliability assessment of a five-story reinforced concrete frame, and the results show that it is quite efficient for stochastic response determination and reliability evaluation of complex structures.
Based on the theoretical analysis and the numerical example, several conclusions can be obtained as follows:
(1) The fiber bundle model can simulate the random fracture of concrete fibres, and a stochastic model is developed to describe the behaviour of concrete fibre at the micro-level.
(2) A probabilistic relation between the damage variable and the fibre strain is established. The damage evolution can be quantified by two random variables.
(3) The mean and standard deviation of damage evolution agree quite well with the corresponding analytical solutions. The probability density function of the damage can also be obtained.
(4) The proposed method is quite efficient for stochastic response determination and reliability evaluation of complex structures.