On One Fundamental Property of the Contact (Impact) of Rigid Elastic Bodies

If we assume that two bodies are in contact and only the pressure between them changes, then the deformation of the material changes proportionally to the cube root of our pressure (Heinrich Hertz, 1884¹). The convergence of elastic bodies is proportional to the pressure to the power of 2/3, and not to the pressure to the power of one (M.S. Leibenson, 1947²). Let us point out that the dependence of the form h = const F ^2/3 or F = const h^3/2 occurs not only for balls but also when other finite bodies come into contact (L.D. Landau and E.M. Lifshitz, 1953³).