Strain-controlled critical slowing down in the rheology of disordered networks

Abstract

Networks and dense suspensions frequently reside near a boundary between soft (or fluid-like) and rigid (or solid-like) regimes. Transitions between these regimes can be driven by changes in structure, density, or applied stress or strain. In general, near the onset or loss of rigidity in these systems, dissipation-limiting heterogeneous nonaffine rearrangements dominate the macroscopic viscoelastic response, giving rise to diverging relaxation times and power-law rheology. Here, we describe a simple quantitative relationship between nonaffinity and the excess viscosity. We test this nonaffinity-viscosity relationship computationally and demonstrate its rheological consequences in simulations of strained filament networks and dense suspensions. We also predict critical signatures in the rheology of semiflexible and stiff biopolymer networks near the strain stiffening transition.

References in corpus (56)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Yield Stress Materials in Soft Condensed Matter
• Theory of Structural Glasses and Supercooled Liquids
• The origin of stiffening in cross-linked semiflexible networks
• Probing the equilibrium dynamics of colloidal hard spheres above the mode-coupling glass transition
• Criticality and isostaticity in fiber networks
• Cell contraction induces long-ranged stress stiffening in the extracellular matrix
• Approximate analytical description of the nonaffine response of amorphous solids
• Continuum limit of amorphous elastic bodies: A finite-size study of low frequency harmonic vibrations
• The Shapes of Cooperatively Rearranging Regions in Glass Forming Liquids
• Unified study of glass and jamming rheology in soft particle systems
• A coordination-based approach to elasticity of floppy and stiff random networks
• Strain-controlled criticality governs the nonlinear mechanics of fibre networks
• Inhomogeneous elastic response of silica glass
• Microfluidic rheology of soft colloids above and below jamming
• A unified framework for non-Brownian suspension flows and soft amorphous solids
• Nonaffine Correlations in Random Elastic Media
• Fiber networks amplify active stress
• Long-range strain correlations in sheared colloidal glasses
• Model for the Scaling of Stresses and Fluctuations in Flows near Jamming
• Shear thickening and jamming of dense suspensions: the "roll" of friction
• Disentangling glass and jamming physics in the rheology of soft materials
• Residual Stresses in Glasses
• Multiscaling at Point J: Jamming is a Critical Phenomenon
• Tunable Shear Thickening in Suspensions
• A minimal-length approach unifies rigidity in under-constrained materials
• Unified Theory of Inertial Granular Flows and Non-Brownian Suspensions
• Visualizing the strain field in semiflexible polymer networks: strain fluctuations and nonlinear rheology of F-actin gels
• Non-affine displacements in flexible polymer networks
• Shear flow of non-Brownian suspensions close to jamming
• Active contractility in actomyosin networks
• Power law viscoelasticity of a fractal colloidal gel
• Nonlinear effective medium theory of disordered spring networks
• Diverging viscosity and soft granular rheology in non-Brownian suspensions
• Origin of slow stress relaxation in the cytoskeleton
• Growing length and time scales in a suspension of athermal particles
• The Jamming Perspective on Wet Foams
• Actively stressed marginal networks
• Softening and Yielding of Soft Glassy Materials
• Monte Carlo study of multiply crosslinked semiflexible polymer networks
• Scaling theory for mechanical critical behavior in fiber networks
• Atomic-scale origin of dynamic viscoelastic response and creep in disordered solids
• Mapping the jamming transition of bidisperse mixtures
• Length scales and self-organization in dense suspension flows
• Floppiness, cutting, and freezing: Dynamic critical scaling near isostaticity
• Dynamical behavior of disordered spring networks
• Universal relaxation dynamics of sphere packings below jamming
• Dimensionality and viscosity exponent in shear-driven jamming
• Stress relaxation above and below the jamming transition
• Nonlinear Poisson effect governed by mechanical critical transition
• Thermoresponsive stiffening with microgel particles in a semiflexible fibrin network
• Relaxation dynamics of non-Brownian spheres below jamming
• Non-affinity and fluid-coupled viscoelastic plateau for immersed fiber networks
• Note: Relaxation time below jamming
• Timescale divergence at the shear jamming transition
• Non-Affine Displacements Below Jamming under Athermal Quasi-Static Compression

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