Elastocapillary instability under partial wetting conditions: Bending versus buckling


Andreotti, Bruno and Marchand, Antonin and Das, Siddhartha and Snoeijer, Jacco H. (2011) Elastocapillary instability under partial wetting conditions: Bending versus buckling. Physical Review E: Statistical, nonlinear, and soft matter physics, 84 (6). 061601. ISSN 1539-3755

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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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Copyright:© American Physical Society
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Link to this item:http://purl.utwente.nl/publications/78782
Official URL:https://doi.org/10.1103/PhysRevE.84.061601
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