Prediction of durability and reliability of structural elements under high pressure. Part 1. Numerical simulation of damage accumulation

To assess the reliability of unique structures such as reactor vessels of advanced nuclear power plants produced in small batches, the conventional numerical methods based on the steady-state analysis of failures are not applicable. In this paper, a method for predicting durability of complex structural elements of high pressure under prolonged cyclic loading is proposed. The method implies the calculation of a three-dimensional stress-strain state of a structure taking into account creep deformation, accumulation of damages, and durability. To calculate damage accumulation and durability under complex loading conditions, the so-called «chemical» long-term strength criterion is used. Three-dimensional creep problems of structural mechanics are solved by an iterative method based on the finite element method. This method is applied to the numerical analysis of damageability and durability of a high-pressure propulsion system comprising a three-layer structure with welded pipes. This type of construction is used in nuclear power plants. The developed method will be used in Part 2 of the paper to calculate reliability characteristics of structures.

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