Impact of gel balls beyond the Hertzian regime |
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Authors: | Email author" target="_blank">Y?TanakaEmail author |
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Institution: | (1) Creative Research Initiative “SOUSEI”, Hokkaido University, Kita 21 Nishi 10, 011-0021 Sapporo, Japan |
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Abstract: | We study experimentally the impact of spherical gel balls on a rigid substrate, where the balls largely deform like a pancake
at high impact velocities. In our previous study (Y. Tanaka, Y. Yamazaki, K. Okumura, Europhys. Lett. 63, 149 (2003)), we measured the contact time τf and maximally deformed size versus impact velocity and explained the behaviors at the scaling level. In this study, we further measure τm, the time required to reach the maximum deformation (from the initial contact), and the restitution coefficient e. We also make a static experiment where we obtain the force-deformation curve of the gel balls up to fairly large deformations
to explain the data on the impact. We propose two phenomenological treatments going beyond the scaling argument, one for intermediate
impact velocities and the other for large velocities; the former is based on the static experiment while the latter on a Lagrangian
constructed from appropriate constraints. Results from these treatments reproduce the experimental behavior of τm. |
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Keywords: | 61 41 +e Polymers elastomers and plastics 62 20 Fe Deformation and plasticity (including yield ductility and superplasticity) 46 55 +d Tribology and mechanical contacts |
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