Rebound indentation problem for a viscoelastic half-space and\n axisymmetric indenter - Solution by the method of dimensionality reduction

The method of dimensionality reduction (MDR) is extended for the axisymmetric\nfrictionless unilateral Hertz-type contact problem for a viscoelastic\nhalf-space and an arbitrary axisymmetric rigid indenter under the assumption\nthat an arbitrarily evolving in time circular contact area remains singly\nconnected during the whole process of indentation. In particular, the MDR is\napplied to study in detail the so-called rebound indentation problem, where the\ncontact radius has a single maximum. It is shown that the obtained closed-form\nanalytical solution for the rebound indentation displacement (recorded in the\nrecovery phase, when the contact force vanishes) does not depend on the\nindenter shape.\n