Convergence analysis of finite element carburizing model

The one-dimensional carburization problem was solved theoretically by Laplace transforms, basing on which the convergence of finite element carburizing model was studied with the software SYSWORLD. The parameter D_H stands for the depth where carbon concentration changed significantly. The analysis results shows that the grid size should be less than D_H/3 referring to analytical result for 1-D carburization; tetragonal grids are preferable to triangular ones for 2-D carburization, the grid size should be less than D_H/4; and the grid size should be less than D_H/5 for 3-D carburization.