Anomalous linear elasticity of disordered networks
arXiv:2209.04237 · doi:10.1039/D2SM01253G
Abstract
Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not fully understood. We show, based on recent theoretical developments and extensive numerical computations, that disordered elastic networks near a critical rigidity transition, such as strain-stiffened fibrous biopolymer networks that are abundant in living systems, reveal an anomalous long-range linear elastic response below a correlation length. This emergent anomalous elasticity, which is non-affine in nature, is shown to feature a qualitatively different multipole expansion structure compared to ordinary continuum elasticity, and a slower spatial decay of perturbations. The potential degree of universality of these results, their implications (e.g. for cell-cell communication through biological extracellular matrices) and open questions are briefly discussed.
arXiv comment7 pages, 3 figures. In v2 the linearity of the anomalous elastic response is highlighted (title, abstract and manuscript) + supporting results are added to the Supplemental Materials
References in corpus (25)
- Vibrations and diverging length scales near the unjamming transition
- Physics of adherent cells
- Long Range Force Transmission in Fibrous Matrices Enabled by Tension-Driven Alignment of Fibers
- On the Rigidity of Amorphous Solids
- Strain-controlled criticality governs the nonlinear mechanics of fibre networks
- Nonaffine Correlations in Random Elastic Media
- Non-affine response: jammed packings versus spring networks
- Pinching a glass reveals key properties of its soft spots
- Low-energy quasilocalized excitations in structural glasses
- Spatial structure of quasi-localized vibrations in nearly jammed amorphous solids
- Phonon gap and localization lengths in floppy materials
- A characteristic energy scale in glasses
- The mechanical response of semiflexible networks to localized perturbations
- Scaling laws for the response of nonlinear elastic media with implications for cell mechanics
- Anomalous Elasticity and Screening in Amorphous Solids
- On Variational Arguments for Vibrational Modes near Jamming
- Length scales and self-organization in dense suspension flows
- Mechanical disorder of sticky-sphere glasses. I. Effect of attractive interactions
- Micromechanical theory of strain-stiffening of biopolymer networks
- Stability of jammed packings II: the transverse length scale
- Anomalous Elasticity in Classical Glass-formers
- Anomalous Elasticity and Emergent Dipole Screening in Three-Dimensional Amorphous Solids
- Effect of particle collisions in dense suspension flows
- Mean-field description for the architecture of low-energy excitations in glasses
- Mean-field interactions between living cells in linear and nonlinear elastic matrices