Compression modulus of macroscopic fiber bundles

TL;DR

This paper presents a theoretical model for the compression modulus of dense, disordered fiber bundles, accounting for non-linear elasticity and contact interactions, with applications to conical fiber structures.

Contribution

The paper introduces a novel theoretical approach to predict the compression modulus of macroscopic fiber bundles, incorporating non-linear effects and contact mechanics.

Findings

The model accurately predicts the compression behavior of fiber stacks.

Application to conical fiber shapes demonstrates the model's practical relevance.

Insights into the elastic response of disordered fiber assemblies.

Abstract

We study dense, disordered stacks of elastic macroscopic fibers. These stacks often exhibit non-linear elasticity, due to the coupling between the applied stress and the internal distribution of fiber contacts. We propose a theoretical model for the compression modulus of such systems, and illustrate our method by studying the conical shapes frequently observed at the extremities of ropes and other fiber structures. studying the conical shapes frequently observed at theextremities of ropes and other fiber structures.