Stability and buckling of flat circular configurations of closed, intrinsically nonrectilinear filaments spanned by fluid films

TL;DR

This paper investigates how the intrinsic shape of a filament affects the stability and buckling of a liquid film spanning a flat circular loop, providing insights into the mechanics of nonrectilinear filament configurations.

Contribution

It introduces a model analyzing the stability of fluid-spanned loops with intrinsically nonrectilinear filaments, highlighting the influence of filament shape on buckling behavior.

Findings

Intrinsic shape significantly affects buckling thresholds.

Certain filament geometries stabilize the loop against buckling.

The model predicts specific instability modes based on filament shape.

Abstract

We explore how the stability and buckling behavior of a flexible but inextensible loop spanned by a liquid film in a flat circular configuration is influenced by the intrinsic shape of the fiber from which the loop is made.