On the Continuous Mechanics First and Second-Order Formulations for Nonequilibrium Nucleation: Derivation and Applications

Abstract

Nucleation and growth are phenomena that can be applied to several fields of science and technology. On the other hand, nucleation depends on the cooling rate, dislocating the equilibrium, as surface energy depends on the created and deformed surface area. The crystalline/glassy transition limit dependence on the thermal gradient is also analyzed. In this paper, under continuum mechanics, first-and second-order nonequilibrium nucleation formulation models are derived, and a phase-change moving interface is considered in the thermal field. Important nucleation variables are plotted against the cooling rate for several nucleation angles. It is coupled with a theoretical model for the molar-specific heat capacity of solids to analyse its dependence on nucleation kinetics.

On the derivation of unsteady closed-form analytical solution for the solidification of pure and eutectic materials with boundary conditions of the third kind

“…Nonetheless, it is imperative to emphasize that the precision and control of their respective outcomes are directly correlated with the properties of interest of the material under investigation, the boundary conditions assumed, and the physical and/or mathematical simplifications accepted. In this sense, the analytical methods [6][7][8][9][10][11][12][13][14][15] are limited to the study of solidification in slabs due to the greater simplicity of the mathematical treatment as a result of their geometric characteristics, which is the only case for which an exact solution has been obtained thus far. Therefore, they present considerable limitations from the point of view of their practical application.…”

Hot Deformation Behavior and Microstructural Evolution of a TiB2/Al-Zn-Mg-Cu-Zr Composite

“…Nucleation during recrystallization is very complex in nature. The local thermal gradient plays a decisive role in nucleation [23][24][25]. Numerous studies [26][27][28][29][30][31] have revealed that the DRX mechanism is dominated by continuous dynamic recrystallization (CDRX) and discontinuous dynamic recrystallization (DDRX) in Al-Zn-Mg-Cu alloys.…”