Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/39544
Title: A dissipative force between colliding viscoelastic bodies: Rigorous approach
Authors: Brilliantov, Nikolay V.
Pimenova, Anastasiya V.
Goldobin, Denis S.
First Published: 21-Jan-2015
Publisher: European Physical Society, EDP Sciences, Società Italiana di Fisica, IOP Publishing, EPL Association
Citation: EPL, 2015, 109 (1)
Abstract: 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.
DOI Link: 10.1209/0295-5075/109/14005
ISSN: 0295-5075
eISSN: 1286-4854
Links: http://iopscience.iop.org/article/10.1209/0295-5075/109/14005/meta
http://hdl.handle.net/2381/39544
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2015, European Physical Society, EDP Sciences, Società Italiana di Fisica, IOP Publishing, EPL Association . Deposited with reference to the publisher’s open access archiving policy.
Appears in Collections:Published Articles, Dept. of Mathematics

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