Application of statistical representation of the microstructure to modeling of phase transformations in DP steels by solution of the diffusion equation

Abstract The approach based on solution of diffusion equation and multiple Level Set Method was proposed to model phase transformation phenomena occurring in Dual Phase (DP) steels during continuous annealing. Coupled solutions of the Second Fick Law and level set equations were used to create framework for dealing with a moving boundary problems. Diffusion and level set partial differential equations were solved using Finite Element (FE) method with local mesh refinement. Velocity function depended on the curvature of the interface and the carbon concentration gradient, was proposed to simulate grain growth. Statistically Similar Representative Volume Element with DP microstructure was generated. This element was subjected to plastic deformation in tension, compression and shear. Finally, homogenized properties of the DP steel were determine.