A relation between diffusion of the oxygen ions, chemical expansion in electrocchemical ceramics, and chemically induced stress evolution in the cathode over time for the Single Chamber Solid Oxide Fuel Cell based on the miniaturisation concept using thick films produced by screen-printing method has been established. The proposed model has been used to calculate the time dependent stress distribution in the cathode as a function of the material parameters, geometrical parameters of the cathode, and concentration of the oxygen ions under steady state operating conditions of the Single Chamber Solid Oxide Fuel Cell.