Linear Response Theory for Hard and Soft Glassy Materials

Abstract

Despite qualitative differences in their underlying physics, both hard and soft glassy materials exhibit almost identical linear rheological behaviors. We show that these nearly universal properties emerge naturally in a shear-transformation-zone (STZ) theory of amorphous plasticity, extended to include a broad distribution of internal thermal-activation barriers. The principal features of this barrier distribution are predicted by nonequilibrium, effective-temperature thermodynamics. Our theoretical loss modulus $G"(\omega )$ has a peak at the $\alpha$ relaxation rate, and a power law decay of the form ${\omega }^{-\zeta }$ for higher frequencies, in quantitative agreement with experimental data.

4 pages, 2 figures

References in corpus (4)

• Shear-transformation-zone theory of plastic deformation near the glass transition
• Glass Rheology: From mode-coupling theory to a dynamical yield criterion
• Viscoelasticity and shear flow of concentrated, non-crystallizing colloidal suspensions: Comparison with Mode-Coupling Theory
• Excitation Chains at the Glass Transition

Cited by in corpus (19)

• On relaxations and aging of various glasses
• Theories of Glass Formation and the Glass Transition
• Local thermal energy as a structural indicator in glasses
• Two-temperature continuum thermomechanics of deforming amorphous solids
• Nonlinear plastic modes in disordered solids
• A simple and broadly-applicable definition of shear transformation zones
• Shear banding of colloidal glasses - a dynamic first order transition?
• Shear-Transformation-Zone Theory of Linear Glassy Dynamics
• Thermodynamic Interpretation of Soft Glassy Rheology Models
• Notch fracture toughness of glasses: Rate, age and geometry dependence
• Dilatancy of Shear Transformations in a Colloidal Glass
• Non-equilibrium thermodynamics in sheared hard-sphere materials
• Variable-amplitude oscillatory shear response of amorphous materials
• Grain fragmentation in sheared granular flow: weakening effects, energy dissipation, and strain localization
• Glass Dynamics at High Strain Rates
• On the mechanism of the highly viscous flow
• Necking instabilities in elasto-viscoplastic materials
• Probing the limits of effective temperature consistency in actively driven systems
• Unifying atoms and colloids near the glass transition through bond-order topology