# Landau theory of bending-to-stretching transition

## TL;DR

This paper introduces a Landau-type continuum model for the transition from bending to stretching elasticity in fibrous networks, highlighting the role of network connectivity and localized front propagation.

## Contribution

It presents a novel single-well potential Landau theory capturing the bending-stretching transition in fibrous networks.

## Key findings

- Transition involves localized front propagation.
- The model predicts a single-well potential governs the transition.
- Network connectivity changes induce the transition.

## Abstract

Transition from bending-dominated to stretching-dominated elastic response in semi-flexible fibrous networks plays an important role in the mechanical behavior of cells and tissues. It is induced by changes in network connectivity and relies on construction of new cross-links. We propose a simple continuum model of this transition with macroscopic strain playing the role of order parameter. An unusual feature of this Landau-type theory is that it is based on a single-well potential. We predict that bending-to-stretching transition proceeds through propagation of the localized fronts separating domains with affine and non-affine elastic response.