Journal
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 374, Issue 2066, Pages -Publisher
ROYAL SOC
DOI: 10.1098/rsta.2015.0169
Keywords
elasto-capillary system; capillary origami; nonlinear membrane; energy minimization
Categories
Funding
- National Science Foundation [1304090]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1304090] Funding Source: National Science Foundation
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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.
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