Slip Morphology of Elastic Strips on Frictional Rigid Substrates

Tomohiko G. Sano, Tetsuo Yamaguchi, Hirofumi Wada

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which - when the bending elasticity dominates over the effect of gravity - are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.

Original languageEnglish
Article number178001
JournalPhysical Review Letters
Volume118
Issue number17
DOIs
Publication statusPublished - Apr 26 2017

Fingerprint

strip
slip
gravitation
static friction
solid surfaces
complement
friction
strings
elastic properties
boundary conditions
coefficients
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Slip Morphology of Elastic Strips on Frictional Rigid Substrates. / Sano, Tomohiko G.; Yamaguchi, Tetsuo; Wada, Hirofumi.

In: Physical Review Letters, Vol. 118, No. 17, 178001, 26.04.2017.

Research output: Contribution to journalArticle

@article{4cfa5915d4dc4d82b60b5c102724550c,
title = "Slip Morphology of Elastic Strips on Frictional Rigid Substrates",
abstract = "The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which - when the bending elasticity dominates over the effect of gravity - are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.",
author = "Sano, {Tomohiko G.} and Tetsuo Yamaguchi and Hirofumi Wada",
year = "2017",
month = "4",
day = "26",
doi = "10.1103/PhysRevLett.118.178001",
language = "English",
volume = "118",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "17",

}

TY - JOUR

T1 - Slip Morphology of Elastic Strips on Frictional Rigid Substrates

AU - Sano, Tomohiko G.

AU - Yamaguchi, Tetsuo

AU - Wada, Hirofumi

PY - 2017/4/26

Y1 - 2017/4/26

N2 - The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which - when the bending elasticity dominates over the effect of gravity - are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.

AB - The morphology of an elastic strip subject to vertical compressive stress on a frictional rigid substrate is investigated by a combination of theory and experiment. We find a rich variety of morphologies, which - when the bending elasticity dominates over the effect of gravity - are classified into three distinct types of states: pinned, partially slipped, and completely slipped, depending on the magnitude of the vertical strain and the coefficient of static friction. We develop a theory of elastica under mixed clamped-hinged boundary conditions combined with the Coulomb-Amontons friction law and find excellent quantitative agreement with simulations and controlled physical experiments. We also discuss the effect of gravity in order to bridge the difference in the qualitative behaviors of stiff strips and flexible strings or ropes. Our study thus complements recent work on elastic rope coiling and takes a significant step towards establishing a unified understanding of how a thin elastic object interacts vertically with a solid surface.

UR - http://www.scopus.com/inward/record.url?scp=85018253912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85018253912&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.118.178001

DO - 10.1103/PhysRevLett.118.178001

M3 - Article

AN - SCOPUS:85018253912

VL - 118

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 17

M1 - 178001

ER -