A thermodynamic framework for the phase‐field approach considering carbide precipitation during phase transformations

Microstructure evolution during recrystallization annealing affects the macroscopic material properties for various steels. The phenomena include phase transformations and carbide precipitation. requirements most engineering components are both, high strength sufficient residual ductility to withstand mechanical burden offer preferable manufacturing conditions. In present work a thermodynamic framework is proposed combine two phase-field approaches investigation of bimodal grain sizes. developed prototype model studies transformations, diffusion carbon concentration precipitation carbides. Recystallization enables transformation purely martensitic microstructure into ferrite accompanied by boundary movement described orientation crystallinity. An adopted approach describes driven temperature stored energy. extended capture based on kinetics atoms. Fractions phases depicted order parameters multiphase-field tied framework, thus yielding novel constitutive capable describing complex behavior metals thermo-mechanical processing. Subsequently, suitable algorithm presented plasticity in dimensions proposed. fractions illustrated numerical examples conclusive finite element simulations.