A study on the hot-deformation behavior and dynamic recrystallization of Al–5 wt.%Mg alloy

A New Constitutive Strain-Dependent Garofalo Equation to Describe the High-Temperature Processing of Materials—Application to the AZ31 Magnesium Alloy

“…(15) Finally, the relative error for prediction of our model can be contrasted with the relative errors of other models. For instance, Takuda et al [53] showed relative errors of about 25 %, Cho et al [20] of about 13%, and Maksoud et al [61] of about 8%. Other investigations in modeling using constitutive equations do not allow error determinations.…”

“…In Table 4 we present the strain values that characterize the critical points of the fitting functions, Eqs. (17) to (20), describing the evolution of the Garofalo parameters with strain. ε min is the strain for the minimum of the functional relation, ε max is the strain for the maximum of the functional relation, and ε inf is the strain for the inflection point of the functional relation.…”

“…[20,21] The main laws used correspond to Avrami and Voce, and the Garofalo equation is only used to supply some of the necessary parameters. [22,23] Another approximation for the construction of the constitutive equation extended for a large range of strains is based on dimensional analysis of various variables that are of physical significance such as the stacking fault energy, grain size, dislocation density, etc.…”

Dynamic deformation response of Al-Mg and Al-Mg/B4C composite at elevated temperatures

“…It is worth mentioning that at high temperature conditions yield stress can be ignored compared with the saturation stress. For description of saturation stress as a function of strain rate and temperature, different equations have been proposed [25][26][27][28]. In hot deformation studies, it is common to consider the combined effects of temperature and strain-rate on a single parameter, i.e., the so-called Zener-Hollomon (Z) parameter [29].…”

An investigation of hot deformation response of particulate-reinforced magnesium+9% titanium composite

“…This may be due to the high rate of diffusion, which will not permit the formation of DRX nuclei because of an annihilation of dislocations by faster recovery processes. However, Cho et al 22 who worked on Al, Mg alloys have observed DRX and concluded that the DRX grain size increases with a decrease in the Zener -Hollomon parameter, i.e., at the high temperature and low strain rate. Figure 3 shows microstructure of as-cast magnesium composite, in which Ti particles are distributed through the Mg Matrix.…”