Recently, I published a detailed description of simple approximations of load - indentation depth relationship for thin layers indented with conical, paraboloidal (often referred to as"spherical"), cylindrical and blunt conical tips . Their error, relative to to the exact solutions of the problem of frictionless indentation for a thin, linear elastic layer, is negligible. These approximations are implemented in AtomicJ as Lebedev - Chebyshev equations. The paper is available here (please write to...
Recently, we published a paper in Review of Scientific Instruments about AtomicJ....