Capillary collapse of a microdouble cantilever beam: a rigorous study
 Shawn R. Lavoie,
 Tian Tang
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Highaspectratio microstructures have been found, in the literature, to collapse due to capillary forces of liquids. In this paper, mathematical models are developed to study the collapse of a microstructure represented by a double cantilever beam (DCB) with a liquid droplet located at the free end. Formulations are presented using the classical Bernoulli–Euler beam theory as well as an analysis that accounts for geometrical nonlinearity. The models introduce rigorous coupling between the DCB deformation, the capillary forces, and the meniscus position, and have predicted interesting nonlinear behaviors that previous models could not. Parameters governing the capillary collapse of the DCB are identified, and their influence is discussed. A single dimensionless number that controls the condition for collapse is proposed and validated against numerical results. Comparison between the linear and nonlinear beam analyses shows that linear analysis generally suffices for the description of capillary collapse of microstructures.
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 Title
 Capillary collapse of a microdouble cantilever beam: a rigorous study
 Journal

Acta Mechanica
Volume 224, Issue 3 , pp 549570
 Cover Date
 20130301
 DOI
 10.1007/s0070701207750
 Print ISSN
 00015970
 Online ISSN
 16196937
 Publisher
 Springer Vienna
 Additional Links
 Topics
 Industry Sectors
 Authors

 Shawn R. Lavoie ^{(1)}
 Tian Tang ^{(1)}
 Author Affiliations

 1. Department of Mechanical Engineering, University of Alberta, 49 Mechanical Engineering Building, Edmonton, AB, T6G 2G8, Canada