Capillary-induced deformations of a thin elastic sheet

N. D. Brubaker, Joceline C Lega

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We develop a three-dimensional model for capillary origami systems in which a rectangular plate has finite thickness, is allowed to stretch and undergoes small deflections. This latter constraint limits our description of the encapsulation process to its initial folding phase. We first simplify the resulting system of equations to two dimensions by assuming that the plate has infinite aspect ratio, which allows us to compare our approach to known two-dimensional capillary origami models for inextensible plates. Moreover, as this two-dimensional model is exactly solvable, we give an expression for its solution in terms of its parameters. We then turn to the full three-dimensional model in the limit of small drop volume and provide numerical simulations showing how the plate and the drop deform due to the effect of capillary forces.

Original languageEnglish (US)
Article number20150169
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume374
Issue number2066
DOIs
StatePublished - Apr 28 2016

Fingerprint

elastic sheets
three dimensional models
rectangular plates
two dimensional models
Inextensible
Three-dimensional
folding
Rectangular Plate
aspect ratio
Encapsulation
deflection
Stretch
Folding
Aspect Ratio
Model
Deflection
System of equations
Aspect ratio
Two Dimensions
Simplify

Keywords

  • Capillary origami
  • Elasto-capillary system
  • Energy minimization
  • Nonlinear membrane

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Engineering(all)

Cite this

Capillary-induced deformations of a thin elastic sheet. / Brubaker, N. D.; Lega, Joceline C.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, No. 2066, 20150169, 28.04.2016.

Research output: Contribution to journalArticle

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