Exact solution for depth of impact crater into granular bed

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

When a sphere impacts a granular bed such as a sand bed, the penetration depth is often determined by empirical scaling laws or numerical simulations. This paper uses a unified force law for granular impact cratering to obtain a simple, explicit, and exact solution for the maximum penetration depth in terms of the Lambert function. The exact solution is confirmed with published laboratory data and numerical simulations; thus it can be used to determine the drag coefficients accurately.

Original languageEnglish (US)
Article number06017018
JournalJournal of Engineering Mechanics
Volume144
Issue number1
DOIs
StatePublished - Jan 1 2018

Fingerprint

Scaling laws
Drag coefficient
Computer simulation
Sand

Keywords

  • Drag law
  • Granular flow
  • Impact crater
  • Lambert function
  • Nonlinear dynamics
  • Sphere impact

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Exact solution for depth of impact crater into granular bed. / Guo, Junke.

In: Journal of Engineering Mechanics, Vol. 144, No. 1, 06017018, 01.01.2018.

Research output: Contribution to journalArticle

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