I am trying to determine the maximum true contact pressure [Cylinder on flat body model]. I only have the Vickers hardness value (500 HV for 10 kgf load). Is there a way to correlate them?
I know in plasticity and Hertzian contacts (paraboloid contacting a flat surface), the hardness is usually defined as the mean contact pressure. The displacement into the surface also corresponds to this hardness, and Hertzian maximum normal pressure can be related to mean pressure as detailed in: https://www.agilent.com/cs/library/eseminars/Public/Session%205%20-%20Mechanics%20of%20plasticity.pdf.
You can use the Tabor equation: H=3S, here H (MPa) - hardness & S (MPa) - yield stress.
Also you can use the next equation describing indentation h (mm) of a cylindrical body (indenter) into a material with HV (MPa):
h=(P/HV/l)^2/(2R), here P - load (N), l - length (mm), R - radius (mm) of a cylindrical object. This equation can be easily transformed into a equation for a case of a spherical body (indenter) indentation.