A numerical study of the dynamics of the surface grain in a granular chain and the role of gravity

Edgar Ávalos, Jan M.M. Pfannes, T. R. Krishna Mohan, Surajit Sen

研究成果: Article査読

9 被引用数 (Scopus)

抄録

We revisit the dynamical behavior of particles in a chain of spherical elastic grains, where the system is assumed to be placed in such a way that the grains suffer progressive loading as function of depth due to the presence of the gravitational acceleration g. Here we address, for the first time, the dynamics of the surface grain in this rather well studied problem (see [R.S. Sinkovits, S. Sen, Phys. Rev. Lett. 74 (1995) 2686; J. Hong, J.Y. Ji, H. Kim, Phys. Rev. Lett. 82 (1999) 3058]) and make predictions that may be verified experimentally by monitoring the dynamics of a single edge grain. When g → 0, the surface grain dynamics can be associated with the problem of propagation of solitary waves in the chain. When g > 0, the dynamics of the surface grain turns out to be dramatically different, reflective of the very different dynamics exhibited by the grains in a gravitationally loaded chain. As we shall see, these studies provide a necessary first step towards developing an understanding of a difficult but important problem in physics and engineering - namely, the dynamics of the surface grains of a gravitationally loaded close-packed granular bed.

本文言語English
ページ(範囲)211-218
ページ数8
ジャーナルPhysica D: Nonlinear Phenomena
225
2
DOI
出版ステータスPublished - 2007 1 15
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 凝縮系物理学
  • 応用数学

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