周新刚, 夏辉, 李克非. 基于FVM数值分析的海工混凝土结构耐久可靠度Monte Carlo模拟[J]. 工程力学, 2014, 31(9): 166-173. DOI: 10.6052/j.issn.1000-4750.2013.04.0306
引用本文: 周新刚, 夏辉, 李克非. 基于FVM数值分析的海工混凝土结构耐久可靠度Monte Carlo模拟[J]. 工程力学, 2014, 31(9): 166-173. DOI: 10.6052/j.issn.1000-4750.2013.04.0306
ZHOU Xin-gang, XIA Hui, LI Ke-fei. FVM NUMERICAL ANALYSIS BASED ON MONTE CARLO SIMULATION FOR DURABILITY AND RELIABILITY OF MARINE CONCRETE STRUCTURES[J]. Engineering Mechanics, 2014, 31(9): 166-173. DOI: 10.6052/j.issn.1000-4750.2013.04.0306
Citation: ZHOU Xin-gang, XIA Hui, LI Ke-fei. FVM NUMERICAL ANALYSIS BASED ON MONTE CARLO SIMULATION FOR DURABILITY AND RELIABILITY OF MARINE CONCRETE STRUCTURES[J]. Engineering Mechanics, 2014, 31(9): 166-173. DOI: 10.6052/j.issn.1000-4750.2013.04.0306

基于FVM数值分析的海工混凝土结构耐久可靠度Monte Carlo模拟

FVM NUMERICAL ANALYSIS BASED ON MONTE CARLO SIMULATION FOR DURABILITY AND RELIABILITY OF MARINE CONCRETE STRUCTURES

  • 摘要: 为研究海工混凝土结构耐久性设计及寿命预测的可靠度方法,分析了耐久性设计与寿命预测的半理论、半经验解析模型方法,讨论了截面形状等条件对氯离子扩散传输的影响。该文研究应用有限体积法(FVM)分析求解混凝土中氯离子含量和蒙特卡罗(Monte Carlo)模拟求解耐久失效概率,分析海工混凝土结构耐久可靠度。这种方法可简称FVM-MC方法。在FVM-MC方法中,首先采用FVM方法求解混凝土中的氯离子含量,然后采用Monte Carlo方法对失效概率进行模拟求解。验证分析表明,FVM-MC方法分析模拟精度高,是海工混凝土结构可靠度分析的一种可靠方法。计算结果表明,截面形状等对混凝土结构的耐久可靠度具有显著的影响,采用Fick第二定律解析解的半理论、半经验模型,由于没有考虑截面形状效应,增加了矩形截面构件的耐久失效风险;圆形截面具有近似一维的扩散传输特点,在条件相同情况下,其构件耐久可靠度显著地高于方形或矩形截面的构件。

     

    Abstract: In order to study the reliability method for durability design and service life prediction of marine concrete structures, a semi empirical and semi theoretical analytical model for durability design and service life prediction of marine concrete structures is analyzed, and the influence of geometric shape and section on the diffusion transportation of chloride ions in concrete is discussed. A new approach to durability reliability analysis is proposed in this paper. The method is called the FVM-MC simulation method. The principle of the method is to first calculate the chloride ion content in concrete structural members using FVM, then analyze the durability failure probability using a Monte Carlo simulation. Verification shows that the FVM-MC method is accurate and feasible, and it is a reliable method for conducting durability reliability analysis of marine concrete structures. Simulations show that geometric shape and section have significant influences on the durability and reliability of concrete structures. The risk of durability failure may be increased in concrete structural members with rectangular sections designed by the analytical Fick’s 2nd law model, because the impact of geometric shape and section has been neglected. Within circular sections, the diffusion transportation of chloride ions is similar to one dimensional transportation. Members with circular sections are conducive to durability.

     

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