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Coefficient of restitution for viscoelastic materials

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Abstract

An analytical expression of the coefficient of restitution for viscoelastic materials is derived for the viscous-dominant case, such as collisions of a polymeric melt. The recently proposed normal impact force model between two colliding viscoelastic droplets is employed. A perturbation method is applied to analytically solve the nonlinear differential equation of deformation caused by the other droplet. By combining the forward collision and the inverse collision, we can get an analytical expression for the coefficient of restitution, which can also be used to further analyze other properties related with the viscoelasticity.

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References

  1. T. Schwager and T. Pöschel, Phys. Rev. E 57, 650 (1998).

    Article  ADS  Google Scholar 

  2. T. Pöschel, C. Saluena, and T. Schwager, in Continuous and discontinuous modeling of cohesive frictional materials edited by P. Vermeer, S. Diebels, W. Ehlers, H. Herrmann, S. Luding and E. Ramm (Springer, Berlin, 2001), p. 173.

  3. N. Brilliantov, F. Spahn, J. Hertzsch and T. Pöschel, Phys. Rev. E 53, 382 (1996).

    Article  Google Scholar 

  4. R. Ramírez, T. Pöschel, N. Brilliantov and T. Schwager, Phys. Rev. E 60, 4465 (1999)

    Article  ADS  Google Scholar 

  5. T. Schwager and T. Pöschel, Granular Matter 9, 65 (2007).

    Article  Google Scholar 

  6. T. Schwager, V. Becker and T. Pöschel, Eur. Phys. J. 27, 107 (2008).

    Google Scholar 

  7. T. Schwager and T. Pöschel, Phys. Rev. E 78, 051304 (2008).

    Article  ADS  Google Scholar 

  8. T. Schwager, Phys. Rev. E 75, 051305 (2007).

    Article  ADS  Google Scholar 

  9. K. Saitoh, A. Bodrova, H. Hayakawa and N. Brilliantov, Phys. Rev. Lett. 105, 238001 (2010).

    Article  ADS  Google Scholar 

  10. P. Muller and T. Pöschel, Phys. Rev. E 84, 021302 (2011).

    Article  ADS  Google Scholar 

  11. N. Brilliantov, N. Albers, F. Spahn and T. Pöschel, Phys. Rev. E 76, 051302 (2007).

    Article  ADS  Google Scholar 

  12. S. Kim, Phys. Rev. E 83, 041302 (2011).

    Article  ADS  Google Scholar 

  13. S. Kim, J. Korean Phys. Soc. 56, 969 (2010); S. Kim, J. Korean Phys. Soc. 57, 1339 (2010).

    Article  ADS  Google Scholar 

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  1. Department of Physics, Kyonggi University, Suwon, 440-760, Korea

    Sangrak Kim

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  1. Sangrak Kim
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Correspondence to Sangrak Kim.

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Kim, S. Coefficient of restitution for viscoelastic materials. Journal of the Korean Physical Society 64, 532–536 (2014). https://doi.org/10.3938/jkps.64.532

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  • DOI: https://doi.org/10.3938/jkps.64.532

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