Perturbation Stochastic Finite Element Method for Chloride Diffusion with Time-Dependent in Concrete

Abstract

The random analysis of the process of chloride diffusion in concrete is a basis of the reliability assessment for durability of concrete structures. In this paper, the diffusion coefficient with time-dependent is introduced to Fick's second law, and perturbation stochastic finite element method (SFEM) with time-dependent(TD) is proposed. The stochastic finite element equation with TD is solved by the perturbation method with a group of recursive equations, by which the mean value and standard deviation of chloride concentration in concrete can be determined. An example is given to demonstrate the accuracy and efficiency of the presented method and shows that the analysis of chloride diffusion with time-dependent for concrete structures is closer to engineering practice.