Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Viscoelastic Hertzian Impact — Feature Article

Version 1 : Received: 17 April 2024 / Approved: 17 April 2024 / Online: 17 April 2024 (17:02:43 CEST)

A peer-reviewed article of this Preprint also exists.

Argatov, I. Viscoelastic Hertzian Impact. Lubricants 2024, 12, 193. Argatov, I. Viscoelastic Hertzian Impact. Lubricants 2024, 12, 193.

Abstract

The problem of normal impact of a rigid sphere onto a Maxwell viscoelastic solid half-space is considered. The first-order asymptotic solution is constructed in the framework of Hunter’s model of viscoelastic impact [Hunter, S. C., 1957. Energy absorbed by elastic waves during impact. Journal of the Mechanics and Physics of Solids, 5(3), 162–171.]. In particular, simple analytical approximations have been derived for the maximum contact force and the time to achieve it. A linear regression method is suggested for evaluating the instantaneous elastic modulus and the mean relaxation time from a set of experimental data collected for different impactors and impact velocities.

Keywords

impact problem; spherical impactor; Hertzian impact; Maxwell viscoelastic solid; asymptotic model; maximum contact force; impact duration; coefficient of restitution

Subject

Engineering, Mechanical Engineering

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