Is wear law really Archard's law (1953), or Reye's law (1860) ???
In 1860 the mathematician and geometer Reye proposed a simple and elegant theory for explaining the consumption of a solid body when it slides with friction on a rough surface . Reye’s model became very popular in Europe (in Italy was promulgated by Panetti ), and it is still taught in university courses of applied mechanics. But, strangely enough, this theory has been totally ignored in English and American literature. Why? A paper from 2001 by Villaggio is interesting to read today.
1. Ferrari, C. and Romiti, A., Meccanica Applicata alle Macchine, Torino, 1966.
2. Galerkin, B.,‘On the analysis of stresses in dams and retaining walls of trapezoidal section’, Sbornik Len.
Inst. 99 (1929) 147–170.
3. Girkmann, K., Fl¨achentragwerke, Springer, Wien, 1959.
4. Goryacheva, I.G.,Contact Mechanics in Tribology, Kluwer, Dordrecht, Boston, London, 1988.
5. Kragelskii, I.V., Friction and Wear, Butterworths, London, 1965.
6. Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, 4th edn, Cambridge University Press,
7. Panetti, M., Meccanica Applicata, Torino, 1947.
8. Reye, T., ‘Zur Theorie der Zapfenreibung’, Der Civilingenieur 4 (1860) 235–255.
9. Szab´o, I., H¨ohere Technische Mechanik, Springer, Berlin, G¨ottingen, Heidelberg, 1964.
10. Tabor, D., ‘Junction growth in metallic friction’, Proc. R. Soc. A 251 (1959) 378.
11. Worch, G., ‘Elastische Scheiben’, in: Beton-Kalender, II, Berlin, M¨unich, D¨usseldorf, Ernst u. Sohn, 1967,