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A dissipative force between colliding viscoelastic bodies: Rigorous approach

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journal contribution
posted on 22.03.2017, 13:48 by Nikolay V. Brilliantov, Anastasiya V. Pimenova, Denis S. Goldobin
A collision of viscoelastic bodies is analysed within a mathematically rigorous approach. We develop a perturbation scheme to solve continuum mechanics equation, which deals simultaneously with strain and strain rate in the bulk of the bodies' material. We derive dissipative force that acts between particles and express it in terms of particles' deformation, deformation rate and material parameters. It differs noticeably from the currently used dissipative force, found within the quasi-static approximation and does not suffer from inconsistencies of this approximation. The proposed approach may be used for other continuum mechanics problems where the bulk dissipation is addressed.

Funding

AVP and DSG acknowledge financial support from the Russian Science Foundation (grant No. 14-21-00090).

History

Citation

EPL, 2015, 109 (1)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

EPL

Publisher

European Physical Society, EDP Sciences, Società Italiana di Fisica, IOP Publishing, EPL Association

issn

0295-5075

eissn

1286-4854

Copyright date

2015

Available date

22/03/2017

Publisher version

http://iopscience.iop.org/article/10.1209/0295-5075/109/14005/meta

Language

en

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