Theoretical Model of Crater Wear

A one dimensional mass diffusion equation including the first derivatives with respect to the coordinates in Fick’s second law is considered. The diffusion coefficient is also considered, as a function of temperature distribution in a semi-infinite media under certain boundary conditions. Since the boundary conditions for both temperature and concentration on the contact surfaces are not a well defined function, the solutions are approximated by dividing the boundary conditions into several well defined functions, such as step functions, and then superimposed. The results obtained by the present analysis are compared with the empirical results of other investigators.