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Assessment of a cracked pipe subject to transient flow by the Monte Carlo method

THE PURPOSE OF THIS WORK is to assess the risk of failure of cracked pipe due to fluid transient. A mathematical model has been established based on the mass and momentum conservation laws, the system of hyperbolic partial differential equations has been solved by the method of characteristics and a finite difference method to calculate the maximum pressure in the pipe. Afterwards, a finite element method have been used to perform a reliable assessment analysis of a cracked pipe used in water distribution by using Monte Carlo method and failure assessment diagram (FAD) tools to evaluate the safety factor from deterministic and probabilistic view points.