Non-affine deformation of semiflexible polymer and fiber networks

TL;DR

This paper introduces a comprehensive effective medium theory for understanding non-affine deformation in semiflexible polymer and fiber networks, applicable to both 2D and 3D systems across thermal and athermal conditions.

Contribution

It provides a general theoretical framework for non-affine deformation in semiflexible networks, extending previous models limited to 2D or athermal fibers.

Findings

Model predictions align with prior computational results

Model predictions agree with experimental data for linear elasticity

Framework can be extended to nonlinear elasticity and dynamics

Abstract

Networks of semiflexible or stiff polymers such as most biopolymers are known to deform inhomogeneously when sheared. The effects of such non-affine deformation have been shown to be much stronger than for flexible polymers. To date, our understanding of non-affinity in such systems is limited to simulations or specific 2D models of athermal fibers. Here, we present an effective medium theory (EMT) for non-affine deformation of semiflexible polymer and fiber networks, which is general to both 2D and 3D and in both thermal and athermal limits. The predictions of this model are in good agreement with both prior computational and experimental results for linear elasticity. Moreover, the framework we introduce can be extended to address nonlinear elasticity and network dynamics.