## Abstract

The limit state function for corroded reinforced concrete beams was established, in which the non-uniformity coefficient of corrosion was introduced to consider the non-uniformity of corrosion and randomness of steel bars. Then, according to the principle of conservation of probability, the generalized probability density evolution equation of the limit state function for corroded reinforced concrete beams was derived. Meanwhile,the finite difference method of TVD (total variation diminishing) difference scheme was recommended. Next, the time-dependent reliability calculation method based on the probability density evolution theory was proposed for corroded reinforced concrete beams through 'absorption boundary conditions'. Further, the generalized probability density evolution equation and the calculation results of time-varying reliability were shown by taking three corroded reinforced concrete beams as examples. Moreover, the accuracies of the probability density evolution and the time-dependent reliability calculation were investigated through one million-scale of Monte Carlo simulation and the two-norm error index. The comparison results of the second-order moment information and the reliability show that the probability density evolution method can accurately capture the probability density evolution information of corroded reinforced concrete beams during its service period with a relative low calculation cost, and then accurately predict the time-varying reliability.

Translated title of the contribution | Time-dependent reliability analysis for corroded RC beams based on probability density evolution theory |
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Original language | Chinese (Simplified) |

Pages (from-to) | 67-73 |

Number of pages | 7 |

Journal | Jianzhu Jiegou Xuebao/Journal of Building Structures |

Volume | 40 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2019 |

Externally published | Yes |

## Keywords

- Probability density evolution theory
- Reinforced concrete beam
- Reinforcement corrosion
- Time-dependent reliability

## ASJC Scopus subject areas

- Civil and Structural Engineering
- Building and Construction