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A simple fitting approach is introduced for modeling the strength (hardness)of quaternary and quinary face-centered cubic (fcc) solid solution high entropyalloys (HEAs) in Co-Cr-Fe-Mn-Ni system. It is proposed that the strength ofsolid solution HEAs could be modeled by a polynomial equation whereexperimental data are used for finding the coefficients of polynomial. It isobserved that the proposed polynomial could model the strength of solidsolution HEAs very well. Effects of constituent elements on the hardness ofquinary Co-Cr-Fe-Mn-Ni alloys are investigated; the results indicate that thestrength of alloys decreases with increasing the Fe content. The softeningeffect of Fe is explained by considering its effect on decreasing the shearmodulus of alloys. Furthermore, the effects of parameters enthalpy of mixingand valence electron concentration on the strength of HEAs are investigated.The results show that the enthalpy of mixing has a noticeable effect on thehardness of quinary Co-Cr-Fe-Mn-Ni alloys and the strength increases withdecreasing the enthalpy of mixing. Furthermore, the results show that hardnessof quinary Co-Cr-Fe-Mn-Ni alloys increases with increasing the parametervalence electron concentration.

Simple approach to model the strength of solid-solution high entropy alloys in Co-Cr-Fe-Mn-Ni system