Journal
SOFT MATTER
Volume 10, Issue 13, Pages 2264-2269Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/c3sm53063a
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Funding
- Swedish Research Council
- Yale University
- Wenner-Gren Foundation
- John Simon Guggenheim Foundation
- Royal Society Wolfson Research Merit Award
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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.
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