Hertz initial point contact — load from prescribed contact pressure

For a ball on a flat, computes the effective modulus, effective radius, initial contact diameter, indentation and contact load corresponding to a prescribed mean contact pressure (e.g. the onset of yield, pmc = Rp0.2).

✓ gevalideerd tegen origineelorigineel: /calculators/p4_5.htm
Hertz initial point contact — load from prescribed contact pressure — original diagram from /calculators/p4_5.htm
Initiële contactdiameter, d = 2r607.9 µm
Indeuking, δ18.48 µm
Contactbelasting, Fc870.71 N
Effectieve elasticiteitsmodulus, E′232.6 GPa
Effectieve contactstraal, R′2.5 mm

Methode & referenties

  • Hertz point-contact theory (ball on flat), solved for load given a target mean contact pressure.
  • Legacy page also has a separate "Brinell Hardness / plastic deformation" section (solve1) — a distinct plasticity/indentation-hardness model, not part of the Hertz contact family, and not ported here.

De berekening is een letterlijke overzetting van de originele client-side JavaScript van /calculators/p4_5.htm. Resultaten zijn geverifieerd gelijk aan het origineel via een geautomatiseerde golden-master-test. Geen enkele formule is opnieuw afgeleid of “verbeterd”.

Hertz initial point contact — load from prescribed contact pressure — Engineering ABC