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Archimedes' law explains penetration of solids into granular media.

Abstract：

:Understanding the response of granular matter to intrusion of solid objects is key to modelling many aspects of behaviour of granular matter, including plastic flow. Here we report a general model for such a quasistatic process. Using a range of experiments, we first show that the relation between the penetration depth and the force resisting it, transiently nonlinear and then linear, is scalable to a universal form. We show that the gradient of the steady-state part, K ϕ , depends only on the medium's internal friction angle, ϕ, and that it is nonlinear in μ = tan ϕ, in contrast to an existing conjecture. We further show that the intrusion of any convex solid shape satisfies a modified Archimedes' law and use this to: relate the zero-depth intercept of the linear part to K ϕ and the intruder's cross-section; explain the curve's nonlinear part in terms of the stagnant zone's development.

journal_name

Nat Commun

journal_title

Nature communications

authors

Kang W,Feng Y,Liu C,Blumenfeld R

doi

10.1038/s41467-018-03344-3

subject

Has Abstract

pub_date

2018-03-16 00:00:00

pages

1101

issue

1

issn

2041-1723

pii

10.1038/s41467-018-03344-3

journal_volume

9

pub_type

杂志文章

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