Viscoelastic Hertzian Impact

Author:

Argatov Ivan1ORCID

Affiliation:

1. Institut für Mechanik, Technische Universität Berlin, 10623 Berlin, Germany

Abstract

The problem of normal impact of a rigid sphere on 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. 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 spherical impactors and impact velocities.

Publisher

MDPI AG

Reference76 articles.

1. Goldsmith, W. (1960). Impact—The Theory and Physical Behaviour of Colliding Solids, Edward Arnold Ltd.

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4. Characterizing viscoelastic mechanical properties of highly compliant polymers and biological tissues using impact indentation;Mijailovic;Acta Biomater.,2018

5. Accurate contact law for surface motions of small-body exploration rovers;Wei;J. Guid. Control. Dyn.,2021

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