Impact cratering on a granular bed by hydrogel spheres having intermediate property between solid and liquid

yu Matsuda, Satoru Fukui, Ryota Kamiya, Hiroki Yamaguchi, Tomohide Niimi

研究成果: Article

抄録

We investigated the low speed impact on a granular bed by a hydrogel sphere and especially focused on the resultant crater diameter. Though the crater diameter depends only on the impact kinetic energy for the solid sphere impact cratering, it also depends on the elastic energy for the hydrogel sphere. The hydrogel sphere impact cratering is classified into two dynamics: small and large indentation of the sphere. For the small indentation, the crater diameter is proportional to the 1/4 power of the energy for ejecting granular materials, which is calculated by substituting the elastic energy stored in the sphere from the impact kinetic energy. Considering the force balance between the inertial force and the indentation, we derived the relation between the impact kinetic energy, Young's modulus, and the crater diameter. In the large limit of Young's modulus, the relation leads to the 1/4 power law observed in solid sphere impact. The dependency of Young's modulus on the crater diameter for the large indentation of the sphere is larger than the impact with small indentation.

元の言語English
記事番号032906
ジャーナルPhysical Review E
99
発行部数3
DOI
出版物ステータスPublished - 2019 3 29

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Hydrogel
cratering
beds
Indentation
Liquid
indentation
craters
liquids
Young's Modulus
Kinetic energy
modulus of elasticity
kinetic energy
Energy
Granular Materials
granular materials
inertia
low speed
energy
Power Law
Directly proportional

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

これを引用

Impact cratering on a granular bed by hydrogel spheres having intermediate property between solid and liquid. / Matsuda, yu; Fukui, Satoru; Kamiya, Ryota; Yamaguchi, Hiroki; Niimi, Tomohide.

:: Physical Review E, 巻 99, 番号 3, 032906, 29.03.2019.

研究成果: Article

Matsuda, yu ; Fukui, Satoru ; Kamiya, Ryota ; Yamaguchi, Hiroki ; Niimi, Tomohide. / Impact cratering on a granular bed by hydrogel spheres having intermediate property between solid and liquid. :: Physical Review E. 2019 ; 巻 99, 番号 3.
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