What is Real area of contact?

The area where asperities on two surfaces actually touch. When the asperities deform plastically it equals the load divided by the hardness, and it is far smaller than the apparent contact area.

Japanese name: 真実接触面積

Real area of contact appears in 4 practice questions across 1 topic, including Surface treatment and tribology.

Field: Surface treatment and tribology

Try it: questions about Real area of contact

A flat steel block (indentation hardness H = 2.0 GPa) rests on a plate of the same steel, and a normal load of 1.0 kN is applied over an apparent contact area of 10 cm². Assuming every contacting asperity deforms plastically and estimating the real area of contact as Ar = W/H, which is closest to its fraction of the apparent contact area?

  1. AAbout 0.5%
  2. BAbout 50%
  3. CAbout 0.05%
Show answer and explanation

Answer: C. About 0.05%

Ar = W/H = 1.0×10³/(2.0×10⁹) = 5.0×10⁻⁷ m² = 0.50 mm². The apparent area is 10 cm² = 1000 mm², so the fraction is 0.50/1000 = 5×10⁻⁴, about 0.05%. Even on a surface that looks flat, only a tiny part at the asperity tips actually touches, and those spots carry a high pressure equal to the hardness. About 0.5% is the value obtained by converting 1 cm² as 10 mm² instead of 100 mm², and about 50% is the value obtained by treating the hardness in MPa instead of GPa. The high local pressure at the real contact spots, together with the high temperature generated by sliding, is the starting point for adhesion and wear.

Real area of contact in the explanations

Questions that mention Real area of contact (4)

  1. A flat steel block (indentation hardness H = 2.0 GPa) rests on a plate of the same steel, and a normal load of 1.0 kN is applied over an apparent contact area of 10 cm². Assuming every contacting asperity deforms plastically and estimating the real area of contact as Ar = W/H, which is closest to its fraction of the apparent contact area?
  2. Which statement correctly describes the empirical law of friction (the Amontons–Coulomb law) that often holds for dry sliding friction between metals?
  3. In the adhesion theory (the view of Bowden and Tabor), the friction force is set by the force needed to shear the adhesive junctions at the real contact spots, and the friction coefficient is μ = s/H (s is the shear strength of the junctions and H is the indentation hardness of the softer material). For s = 0.30 GPa and H = 1.8 GPa, which is closest to μ?
  4. In a pin-on-disk test, a pin of hardness H = 2.0 GPa is loaded with a normal force of 50 N and slid over a distance of 1.0 km. Using the Archard wear equation V = KWL/H with a dimensionless wear coefficient K = 1.0×10⁻⁴, which correctly pairs the wear volume of the pin with the change in wear volume when the load is doubled?

Related terms

Archard wear equation Abrasive wear Adhesive wear Carburizing Electroless nickel plating Nitriding Stribeck curve

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