Does anybody knows any equation about the correlation of the hardness and other mechanical properties?
I'm interested in any eqs.
If You know something, please give me a link or a title of a book.
In my world of tungsten carbide, hardness used to correlate with wear properties. That has become a considerably less direct relationship in the last decade or so. So the date of the correlation formulas should be taken into account.
Any correlation between mech'l props and hardnesses will be approximations. I once regressed an empirical eqn into data from one of the published charts. Here it is, no guarantee: Cubic Poynomial fit: y = 86.2163 + .681282x - .00106x^2 + .001094x^3; where y = tensile strength in ksi, x = HRC.
As a further approximation to an approximation, yield strength for steel runs around 85% of UTS, but you're on thin ice.