It was easy to find the equation of indentation from Hertz contact theory when a sphere and a flat surface are indenting or 2 spheres are indenting, from Hertz contact theory. However, currently, I am indenting a cylindrical-shaped fibre with a flat plate indenter (so it's a flat-cylindrical contact). I saw the equation of contact area but I did not see the equation for contact depth. Can you please give me with some references?

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