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A model has been established to simulate the realistic spatio-temporal microstructure evolution in recrystal- lization of a magnesium alloy using the phase field approach.A set of rules have been proposed to decide the real physical value of all parameters in the model.The thermodynamic software THERMOCALC is applied to determine the local chemical free energy and strain energy,which is added to the free energy density of grains before recrystallization.The Arrhenius formula is used to describe boundary mobility and the activity energy is suggested with a value of zinc segregation energy at the boundary.However,the mobility constant in the formula was found out by fitting to a group of grain size measurements during recrystallization of the alloy. The boundary range is suggested to decide the gradient parameters in addition of fitting to the experimental boundary energy value.These parameter values can be regarded as a database for other similar simulations and the fitting rules can also be applied to build up databases for any other alloy systems.The simulated results show a good agreement with reported experimental measurement of the alloy at the temperatures from 300 to 400℃for up to 100 rain but not at 250℃.This implies a mechanism variation in activity energy of the boundary mobility in the alloy at low temperature.
A model has been established to simulate the realistic spatio-temporal microstructure evolution in recrystal- lization of a magnesium alloy using the phase field approach. A set of rules have been proposed to decide the real physical value of all parameters in the model. Thermodynamic software THERMOCALC is applied to determine the local chemical free energy and strain energy, which is added to the free energy density of grains before recrystallization. Arrhenius formula is used to describe boundary mobility and the activity energy is suggested with a value of zinc segregation energy at the boundary. Even, the mobility constant in the formula was found out by fitting to a group of grain size measurements during recrystallization of the alloy. The boundary range is suggested to decide the gradient parameters in addition of fitting to the experimental boundary energy value These parameter values can be viewed as a database for other similar simulations and the fitting rules can al so be applied to build up databases for any other alloy systems. The simulated results show a good agreement with reported experimental measurement of the alloy at the temperatures from 300 to 400 ° C for up to 100 rain but not at 250 ° C. This implies a mechanism variation in activity energy of the boundary mobility in the alloy at low temperature.