Archard equation

The Archard wear equation is a simple model used to describe sliding wear and is based on the theory of asperity contact. The Archard equation was developed much later than Reye's hypothesis [it] (sometimes also known as energy dissipative hypothesis), though both came to the same physical conclusions, that the volume of the removed debris due to wear is proportional to the work done by friction forces. Theodor Reye's model[1][2] became popular in Europe and it is still taught in university courses of applied mechanics.[3] Until recently, Reye's theory of 1860 has, however, been totally ignored in English and American literature[3] where subsequent works by Ragnar Holm[4][5][6] and John Frederick Archard are usually cited.[7] In 1960, Mikhail Mikhailovich Khrushchov [ru] and Mikhail Alekseevich Babichev published a similar model as well.[8] In modern literature, the relation is therefore also known as Reye–Archard–Khrushchov wear law. In 2022, the steady-state Archard wear equation was extended into the running-in regime using the bearing ratio curve representing the initial surface topography.[9]

  1. ^ Cite error: The named reference Reye_1860 was invoked but never defined (see the help page).
  2. ^ Cite error: The named reference Rühlmann_1979 was invoked but never defined (see the help page).
  3. ^ a b Cite error: The named reference Villaggio_2001 was invoked but never defined (see the help page).
  4. ^ Cite error: The named reference Holm_1946 was invoked but never defined (see the help page).
  5. ^ Cite error: The named reference Holm_1958 was invoked but never defined (see the help page).
  6. ^ Cite error: The named reference Holm_1967 was invoked but never defined (see the help page).
  7. ^ Cite error: The named reference Ponter_2013 was invoked but never defined (see the help page).
  8. ^ Cite error: The named reference Khrushchov_1960 was invoked but never defined (see the help page).
  9. ^ Cite error: The named reference Varenberg_2022 was invoked but never defined (see the help page).