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Collision of One-Dimensional Nonlinear Chains

Shin-ichiro Nagahiro·Yoshinori Hayakawa
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Abstract

We investigate one-dimensional collisions of unharmonic chains and a rigid wall. We find that the coefficient of restitution (COR) is strongly dependent on the velocity of colliding chains and has a minimum value at a certain velocity. The relationship between COR and collision velocity is derived for low-velocity collisions using perturbation methods. We found that the velocity dependence is characterized by the exponent of the lowest unharmonic term of interparticle potential energy.

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Shin-ichiro Nagahiro, Yoshinori Hayakawa. 2002-10-17. Collision of One-Dimensional Nonlinear Chains. https://doi.org/10.1103/physreve.67.036609

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