Effective medium theory of semiflexible filamentous networks

Abstract

We develop an effective medium approach to the mechanics of disordered, semiflexible polymer networks and study the response of such networks to uniform and nonuniform strain. We identify distinct elastic regimes in which the contributions of either filament bending or stretching to the macroscopic modulus vanish. We also show that our effective medium theory predicts a crossover between affine and non-affine strain, consistent with both prior numerical studies and scaling theory.

4 pages, 4 figures

References in corpus (6)

• Elasticity of Semiflexible Biopolymer Networks
• Elasticity of Stiff Polymer Networks
• Deformation of crosslinked semiflexible polymer networks
• Distinct regimes of elastic response and deformation modes of cross-linked cytoskeletal and semiflexible polymer networks
• Visualizing the strain field in semiflexible polymer networks: strain fluctuations and nonlinear rheology of F-actin gels
• Non-universality of elastic exponents in random bond-bending networks

Cited by in corpus (38)

• Modeling semiflexible polymer networks
• Criticality and isostaticity in fiber networks
• Length-Controlled Elasticity in 3D Fiber Networks
• Soft modes and elasticity of nearly isostatic lattices: randomness and dissipation
• Nonlinear effective medium theory of disordered spring networks
• Nonlinear elasticity of disordered fiber networks
• Elastic regimes of sub-isostatic athermal fiber networks
• Redundancy and cooperativity in the mechanics of compositely crosslinked filamentous networks
• Actively stressed marginal networks
• Self-assembly and cooperative dynamics of a model colloidal gel network
• Network disorder and nonaffine deformations in marginal solids
• Alignment and Nonlinear Elasticity in Biopolymer Gels
• Elasticity of Filamentous Kagome Lattice
• Scaling theory for mechanical critical behavior in fiber networks
• Effective Medium Theory of Filamentous Triangular Lattice
• Rigidity and flexibility of biological networks
• Dynamical behavior of disordered spring networks
• Fiber networks below the isostatic point: fracture without stress concentration
• Stress-stabilized sub-isostatic fiber networks in a rope-like limit
• Non-local fluctuation correlations in active gels
• Poisson's ratio in composite elastic media with rigid rods
• Structural hierarchy confers error tolerance in biological tissues
• Stiffening of Red Blood Cells Induced by Disordered Cytoskeleton Structures: A Joint Theory-experiment Study
• Mechanics and force transmission in soft composites of rods in elastic gels
• Non-affine deformation of semiflexible polymer and fiber networks
• Criticality and mechanical enhancement in composite fibre networks
• Normal stress anisotropy and marginal stability in athermal elastic networks
• Shear-induced phase transition and critical exponents in 3D fiber networks
• Importance of non-affine viscoelastic response in disordered fibre networks
• Structural Properties of Stiff Elastic Networks
• Mechanics of fiber networks under a bulk strain
• Mechanical criticality of fiber networks at a finite temperature
• Elasticity of randomly diluted honeycomb and diamond lattices with bending forces
• The mechanics of anisotropic spring networks
• Landau theory of bending-to-stretching transition
• Effective Medium Theory for Mechanical Phase Transitions of Fiber Networks
• A symplectic integration method for elastic filaments
• The equilibrium fluctuations of a semiflexible filament cross linked into a network