Hertzian contact (sphere)
StaticIn developmentNonlinear contact, Hertzian pressure distribution
- Source:
- Hertz / Johnson, Contact Mechanics
- Tolerance:
- 3%
Problem statement
- Geometry
- Elastic sphere of radius R pressed against a flat half-space (or a second sphere).
- Material
- Linear-elastic isotropic bodies, effective modulus E* from both E, ν.
- Boundary conditions
- Normal load P, frictionless contact.
- Measured quantity
- Contact radius a = (3PR/4E*)^(1/3) and peak pressure p₀ = 3P/(2πa²).
Script
Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.
Results comparison
The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.
Updated: not yet run