Elastocapillary instability under partial wetting conditions: bending versus buckling

Bruno Andreotti, Antonin Marchand, Siddhartha Das, Jacco H. Snoeijer

Research output: Contribution to journalArticle

  • 7 Citations

Abstract

The elastocapillary instability of a flexible plate plunged in a liquid bath is analyzed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For contact angles θe>π/2, the capillary forces acting tangential to the surface are compressing the plate and can induce a classical buckling instability. However, a second mechanism appears due to capillary forces normal to surface. These induce a destabilizing torque that tends to bend the plate for any value of the contact angle θe>0. We denote these mechanisms as “buckling” and “bending,” respectively and identify the two corresponding dimensionless parameters that govern the elastocapillary stability. The onset of instability is determined analytically and the different bifurcation scenarios are worked out for experimentally relevant conditions
LanguageEnglish
Article number061601
Number of pages6
JournalPhysical review E: Statistical, nonlinear, and soft matter physics
Volume84
Issue number6
DOIs
StatePublished - 2011

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Wetting
buckling
Buckling
wetting
Partial
Contact Angle
Liquid
liquids
compressing
Dimensionless
Torque
torque
baths
Bifurcation
Tend
Denote
Scenarios

Keywords

  • METIS-280230
  • IR-78782

Cite this

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abstract = "The elastocapillary instability of a flexible plate plunged in a liquid bath is analyzed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For contact angles θe>π/2, the capillary forces acting tangential to the surface are compressing the plate and can induce a classical buckling instability. However, a second mechanism appears due to capillary forces normal to surface. These induce a destabilizing torque that tends to bend the plate for any value of the contact angle θe>0. We denote these mechanisms as “buckling” and “bending,” respectively and identify the two corresponding dimensionless parameters that govern the elastocapillary stability. The onset of instability is determined analytically and the different bifurcation scenarios are worked out for experimentally relevant conditions",
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Elastocapillary instability under partial wetting conditions : bending versus buckling. / Andreotti, Bruno; Marchand, Antonin; Das, Siddhartha; Snoeijer, Jacco H.

In: Physical review E: Statistical, nonlinear, and soft matter physics, Vol. 84, No. 6, 061601, 2011.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Elastocapillary instability under partial wetting conditions

T2 - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

AU - Andreotti,Bruno

AU - Marchand,Antonin

AU - Das,Siddhartha

AU - Snoeijer,Jacco H.

PY - 2011

Y1 - 2011

N2 - The elastocapillary instability of a flexible plate plunged in a liquid bath is analyzed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For contact angles θe>π/2, the capillary forces acting tangential to the surface are compressing the plate and can induce a classical buckling instability. However, a second mechanism appears due to capillary forces normal to surface. These induce a destabilizing torque that tends to bend the plate for any value of the contact angle θe>0. We denote these mechanisms as “buckling” and “bending,” respectively and identify the two corresponding dimensionless parameters that govern the elastocapillary stability. The onset of instability is determined analytically and the different bifurcation scenarios are worked out for experimentally relevant conditions

AB - The elastocapillary instability of a flexible plate plunged in a liquid bath is analyzed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For contact angles θe>π/2, the capillary forces acting tangential to the surface are compressing the plate and can induce a classical buckling instability. However, a second mechanism appears due to capillary forces normal to surface. These induce a destabilizing torque that tends to bend the plate for any value of the contact angle θe>0. We denote these mechanisms as “buckling” and “bending,” respectively and identify the two corresponding dimensionless parameters that govern the elastocapillary stability. The onset of instability is determined analytically and the different bifurcation scenarios are worked out for experimentally relevant conditions

KW - METIS-280230

KW - IR-78782

U2 - 10.1103/PhysRevE.84.061601

DO - 10.1103/PhysRevE.84.061601

M3 - Article

VL - 84

JO - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

JF - Physical review E: covering statistical, nonlinear, biological, and soft matter physics

SN - 2470-0045

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