Effect of quantum mechanics and relativistic frequency parameter on hot deformation behaviour of CoCrFeMnNiC_0.5high entropy Alloy

Abstract

In the present investigation, a comparative study is carried out between the effect of the frequency parameter suggested by Zener-Hollomon (Z) and the effect of quantum mechanics and relativistic frequency parameter formulated by Muñoz-Andrade (M) on hot deformation behavior of CoCrFeMnNiC0.5 high entropy alloy (HEA), in the temperature range between 973 K and 1273 K and in the strain rate range between 0.001 and 1 s -1. The crucial findings denote that at strain of ε=0.8, the frequency parameter M increased when the temperature and the strain rate increased. Moreover, the nature wavelength (λ) associated with the frequency parameter M is reduced as the temperature and the strain rate are increased. This natural wavelength λ of CoCrFeMnNiC0.5 HEA development during the thermomechanical conditions applied in the present study are in the range between 0.346μm and 0.509μm. Such values are in a closed agreement with the width of the microbands (MBs) produced inside of grains. These MBs are considered as the dominant mechanism inside of crystals during the microstructural evolution related with the phenomenology and mechanics of discontinuous dynamic recrystallization in this HEA. These findings associated with the Muñoz-Andrade frequency parameter M, fully coincide with the Big Bang theory. Nevertheless, the findings associated with the Zener-Hollomon parameter Z, do not obey the Big-Bang theory. For example, the frequency parameter Z at the same deformation (ε=0.8) and thermomechanical conditions decreased as the temperature and the strain rate are increased. Additionally, the wavelength λ associated with the frequency parameter Z is in the range between 162μm and 1630μm, where such values does not coincide with the width of the MBs produced inside of grains during hot deformation of this CoCrFeMnNiC0.5 HEA.