Incoprea Theory
Vol. X · 999 project

Theory 024/Materials Processing

Adhesion Is Roughness Wavelength

The claim

Coating adhesion is maximal at an intermediate substrate roughness wavelength rather than at maximum roughness.

01The mechanism

Mechanical keying requires features the coating can penetrate; features too coarse leave voids at valleys.

02Predictions

  • P1Adhesion should peak at a roughness wavelength.
  • P2Smoother and rougher substrates should both perform worse.

03Refutation

Monotonic adhesion with roughness would remove the optimum.