为了研究水运工程和海洋工程中圆柱体混凝土构件的氯离子扩散过程及耐久性服役寿命,通过二维氯离子扩散控制方程的坐标变换,建立了圆柱体混凝土构件中氯离子扩散的极坐标控制方程,使用变量分离法和贝塞尔函数的简化公式,推导并建立了圆形截面混凝土构件中氯离子扩散的解析方法,据此分析了不同半径圆柱构件中氯离子浓度的变化规律,通过宏观扩散过程分析以及与有限元方法计算结果的比较,验证了本文方法的正确性;通过与矩形截面混凝土构件中氯离子二维扩散及浓度分布的对比,可知在相同条件下,选择圆形截面代替矩形截面构件可有效提高混凝土结构的抗氯离子侵蚀性能,提高结构耐久性.
The concentration and diffusion of chloride in concrete component with circular section in marine environment is investigated in this paper. Based on Fick's second law, a governing equation of chloride diffusion in concrete components with circular section is developed by coordinate transformation. An analytical solution of the governing equation is presented by the method of separation of variables and the simplified expression of Bessel function. The concentration distributions of chloride in circular section member with different radiuses exposed to chloride environment are analyzed in numerical examples, and are compared with those by commercial FEM package. The study shows that the proposed analytical method is effective and accurate. It can also be concluded that the anti-chloride permeability and durability of concrete structures can be improved by replacing the components with rectangular cross section by using those with circular one.