Numerical simulation of diffusive interaction of precipitates with matrix in multicomponent systems

The proposed method of numerical simulation of diffusive interaction between precipitates and matrix is based on the application of the Finite difference method and on the solution of differential equations of diffusion as well as of the equations of mass balance in differential form in combination with transcendental thermodynamic equations describing the conditions of local equilibrium at interfaces. This method was used to calculate the dissolution of vanadium carbides in austenite and to consider the dependence of the kinetics of the carbide dissolution on the overlapping of the diffusion fields of different precipitates for carbon and carbide-forming element.