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Hertz beyond belief
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2014 (English)In: Soft Matter, ISSN 1744-683X, E-ISSN 1744-6848, Vol. 10, no 13, 2264-2269 p.Article in journal (Refereed) Published
Abstract [en]

We examine the validity of Hertz's linear elastic theory for central collisions of spheres using a viscoelastic model. This model explains why Hertz's theory is accurate in predicting the collision time and maximum contact area even when 40% of the kinetic energy is lost due to viscous dissipation. The main reason is that both the collision time and maximum contact area have a very weak dependence on the impact velocity. Moreover, we show that colliding objects exhibit an apparent size-dependent yield strength, which results from larger objects dissipating less energy at a given impact velocity.

Place, publisher, year, edition, pages
2014. Vol. 10, no 13, 2264-2269 p.
Keyword [en]
Restitution Coefficient, Elastic Solids, Granular Gases, Impact, Collision, Contact, Spheres, Energy, Ice, Strength
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-144013DOI: 10.1039/c3sm53063aISI: 000332478800019Scopus ID: 2-s2.0-84896759180OAI: oai:DiVA.org:kth-144013DiVA: diva2:709991
Funder
Swedish Research CouncilThe Wenner-Gren Foundation
Note

QC 20140404

Available from: 2014-04-04 Created: 2014-04-04 Last updated: 2017-12-05Bibliographically approved

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