为了准确分析氯离子侵蚀环境下混凝土结构的耐久性,同时考虑表面氯离子浓度和扩散系数的时变性对混凝土中氯离子扩散过程的影响。首先应用变量代换法、Laplace积分变换及其逆变换,建立了同时考虑混凝土表面氯离子浓度和扩散系数时变性的氯离子扩散解析解。通过算例分析验证了解析解的正确性,并对比研究了表面氯离子浓度和扩散系数的时变性对混凝土中氯离子扩散的影响。结果表明,两个参数的时变性都会对混凝土中氯离子浓度分布产生显著影响,且随着计算深度增大,双时变影响越显著,其中扩散系数的时变性影响更大。因而,混凝土结构耐久性分析和设计中应同时考虑表面氯离子浓度和氯离子扩散系数的时变性。
The time-dependency of the surface chloride concentration and diffusion coefficient of concrete was taken into consideration to investigate the process of chloride diffusion in concrete. The variable substitution method, the Laplace integral transformation and its inverse transformation were applied to yield the closed-form solutions ( CFS) of the governing partial differential equation descri-bing the diffusion process. The CFS was proved by the Finite Element Method. Examples were con-sidered to demonstrate the accuracy and applicability of the proposed CFS. Results show that the time-dependency of the two parameters has significant influence on the chloride diffusion, and as the computation depth increases, the influence becomes more significant. Moreover, the time-dependen-cy of the diffusion coefficient has a more important impact than the surface chloride concentration. The time-dependency of the surface chloride concentration and diffusion coefficient should be consid-ered to predict the service life and design the durability of concrete structures more accurately.