A dissipative force between colliding viscoelastic bodies: Rigorous approach

Nikolay V. Brilliantov, Anastasiya V. Pimenova, Denis S. Goldobin

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)


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.

Original languageEnglish
Article number14005
JournalEurophysics Letters
Issue number1
Publication statusPublished - 1 Jan 2015
Externally publishedYes


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