Open Access
Review

Table 1

The comparison and analysis of these prediction models of globularization.

Model name Empirical model Neural network model Processing map
Model description The equations of Avrami and JMAK
Form of explicit functions of macroscopic deformation parameters [17]
Complex nonlinear processing power
Related input variables and output variables in a near-black box approach [19]
A power dissipation map represents the pattern in which the input power is dissipated by the material through microstructural changes rather than heat [61]
Model equation
Pros and cons ■ Predict the grain size volume fraction
□ Predict the morphology evolution
□ Predict Meso-mechanical response
■ Predict Macro-mechanical response
■ Consider hot working parameters
■ Predict the grain size volume fraction
□ Predict the morphology evolution
□ Predict Meso-mechanical response
■ Predict Macro-mechanical response
■ Consider hot working parameters
□ Predict the grain size volume fraction
□ Predict the morphology evolution
□ Predict Meso-mechanical response
■ Predict Macro-mechanical response
■ Consider hot working parameters
Model name Internal variable model Phase field model Microstructure-based FE model
Model description Describe the microstructure evolution through the evolution of several of different internal state variables.
Reflect the complex physical mechanism
Inflect influence of processing history on microstructure [3]
Multiphase field model driven by volume-diffusion and curvature effect
Shape-instabilities induced by the difference in curvature
Based on Rayleigh instabilities and termination migration [24]
Digital material representation method
The constitutive relation measured by the nanometer indentation
The effects of microstructure features on strain localization bands [25]
Model equation
Pros and cons ■ Predict the grain size volume fraction
□ Predict the morphology evolution
□ Predict Meso-mechanical response
■ Predict Macro-mechanical response
■ Consider hot working parameters
□ Predict the grain size volume fraction
■ Predict the morphology evolution
□ Predict Meso-mechanical response
□ Predict Macro-mechanical response
■ Consider hot working parameters
□ Predict the grain size volume fraction
□ Predict the morphology evolution
■ Predict Meso-mechanical response
□ Predict Macro-mechanical response
■ Consider hot working parameters

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