For concrete structure lack of enough durability due to corrosion by chloride ion under chlorine salt environment, and based on the Fick's Diffusion Law, a mathematical model for concrete corroded by chloride ion diffusion is established and studied. Based on Galerkin FEM with weighted residuals, numerically discrete analysis of the models and final finite-difference-discrete format about time are obtained. Comparisons of PDE models between traditional heat conduction and chloride ion diffusion have been done. According to different parameters and APDL in ANSYS, a program for transformation of parameters including initial and boundary conditions is designed, so as to solve modeling by resolving module of heat conduction in ANSYS. A two-dimensional example from references, namely a concrete plate corroded by chloride ion under chlorine salt environment, is analyzed. All the results show the investigation is reliable and feasible for the research of durability of concrete structure under corrosion environment.