Incremental formulation for the prediction of microstructural change in multi-pass hot forming

A new mathematical formulation for static microstructural changes in hot forming is proposed. This formulation can be easily coupled with incremental model for dynamic microstructural changes as it is formulated in an incremental form using the dislocation density as a representative variable with I:he simplification of recrystallized structure. Coupling incremental formulations for dynamic and static microstructural changes, microstructural changes under multi-pass hot forming are computed and discussed. As these formulations are formulated in an incremental form, we will be able to predict microstructural evolution including partial dynamic/static recrystallization caused by any deformation history and temperature history computed by FEM and/or FDM.