Archard Wear Equation Formula |
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\( V \;=\; \dfrac{ K \cdot W \cdot L }{ H }\) (Archard Wear Equation) \( K \;=\; \dfrac{ V \cdot H }{ W \cdot L }\) \( W \;=\; \dfrac{ V \cdot H }{ K \cdot L }\) \( L \;=\; \dfrac{ V \cdot H }{ K \cdot W }\) \( H \;=\; \dfrac{ K \cdot W \cdot L }{ V }\) |
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| Symbol | English | Metric |
| \( V \) = Wear Volume | \(in^3\) | \(mm^3\) |
| \( K \) = Archard Wear Coefficient | \(dimensionless\) | \(dimensionless\) |
| \( W \) = Normal Load (Force) | \(lbf\) | \(N\) |
| \( L \) = Sliding Distance | \(in\) | \(mm\) |
| \( H \) = Hardness of the Softest Contacting Material (psi) | \(lbf \;/\; in^2\) | \(Pa\) |
Archard wear equation, abbreviated as \(V\), also called Archard wear law, Archard equation or Archard law, is an empirical relationship used to estimate the amount of material lost due to sliding wear between two contacting surfaces. It relates wear to the applied normal load, the sliding distance, and the material hardness, capturing the idea that wear increases with higher loads and longer sliding distances but decreases as materials become harder. The equation assumes that wear occurs through the formation and removal of microscopic asperity at the contact interface, and that the real area of contact is proportional to the normal load divided by the hardness of the softer material.
Because it is based on simple assumptions about contact and material behavior, the Archard wear law is most accurate for mild wear conditions. It is used in engineering design and analysis for bearings, gears, and sliding components to provide order-of-magnitude wear predictions rather than precise values.
