# Deflection and oscillations of an anchored elastic fiber embedded in a quasistatic two-dimensional foam flow

## TL;DR

This study investigates how an elastic fiber embedded in 2D foam deflects and oscillates under quasistatic flow, revealing the interplay of elastic, capillary, and pressure forces and their role in foam plasticity.

## Contribution

It provides a quantitative analysis of fiber deformation driven by elasto-capillary interactions and introduces a model for foam yielding and plastic cascades based on fiber behavior.

## Key findings

- Fiber deformation is governed by a uniform normal force model.
- Plastic rearrangements occur periodically when bending energy exceeds a threshold.
- Estimated foam yield stress and shear modulus from energy distribution analysis.

## Abstract

We study the deflection and fluctuations of a clamped elastic fiber embedded in 2D foam under quasistatic flow. At all times, the fiber conformation results from the elasto-capillary interactions with the foam. We independently measure the action of capillary and pressure forces on the fiber, and show that the fiber deformation is adequately described assuming a uniform continuous normal force acting on it. When bending energy exceeds a threshold value, the fiber relaxes to a less deflected shape, generating a cascade of plastic rearrangements within the foam, and the process repeats periodically. We analyze the statistical distributions of stored and released energy, and estimate the yield stress and shear modulus of the foam, as well as the number of elementary plastic events involved in a cascade.