The yielding of amorphous solids at finite temperatures

Abstract

We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand we use an elasto-plastic model, with temperature introduced in the form of an Arrhenius activation law over energy barriers. On the other hand, we implement a Hamiltonian model with a relaxational dynamics, where temperature is introduced in the form of a Langevin stochastic force. In both cases, temperature transforms the sharp transition of the athermal case in a smooth crossover. We show that this thermally smoothed transition follows a simple scaling form that can be fully explained using a one-particle system driven in a potential under the combined action of a mechanical and a thermal noise, the stochastically-driven Prandtl-Tomlinson model. Our work harmonizes the results of simple models for amorphous solids with the phenomenological $\sim T^{2/3}$ law proposed by Johnson and Samwer [Phys. Rev. Lett. 95, 195501 (2005)] in the framework of experimental metallic glasses yield observations, and extend it to a generic case. Finally, our results strengthen the interpretation of the yielding transition as an effective mean-field phenomenon.

arXiv comment16 pages, 11 figures

References in corpus (45)

• Yield Stress Materials in Soft Condensed Matter
• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Creep and depinning in disordered media
• Collective Transport: From Superconductors to Earthquakes
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Unified study of glass and jamming rheology in soft particle systems
• Elastic consequences of a single plastic event : a step towards the microscopic modeling of the flow of yield stress fluids
• Rejuvenation and overaging in a colloidal glass under shear
• Nonequilibrium Dynamics of Interfaces and Lines
• Statistical Physics of the Yielding Transition in Amorphous Solids
• Driving rate dependence of avalanche statistics and shapes at the yielding transition
• Schematic models for dynamic yielding of sheared colloidal glasses
• On the density of shear transformation zones in amorphous solids
• Disentangling glass and jamming physics in the rheology of soft materials
• Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
• Thermal Effects in the Shear-Transformation-Zone Theory of Amorphous Plasticity: Comparisons to Metallic Glass Data
• Hysteretic dynamics of domain walls at finite temperatures
• Universality of Avalanche Exponents in Plastic Deformation of Disordered Solids
• Depinning transition and thermal fluctuations in the random-field Ising model
• Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates
• Thermal rounding of the depinning transition
• Thermal Rounding of the Charge Density Wave Depinning Transition
• Universal, additive effect of temperature on the rheology of amorphous solids
• Influence of the temperature on the depinning transition of driven interfaces
• Size of Plastic Events in Strained Amorphous Solids at Finite Temperatures
• Disordered Elastic Systems and One-Dimensional Interfaces
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• From depinning transition to plastic yielding of amorphous media: A soft modes perspective
• Rheology of athermal amorphous solids: Revisiting simplified scenarios and the concept of mechanical noise temperature
• Stress Overshoots in Simple Yield Stress Fluids
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium
• On the critical exponents of the yielding transition of amorphous solids
• Strain-rate and temperature-driven transition in the shear transformation zone for two-dimensional amorphous solids
• Microscopic processes controlling the Herschel-Bulkley exponent
• Shear band dynamics from a mesoscopic modeling of plasticity
• Thermally activated flow in models of amorphous solids
• Creep and thermal rounding close to the elastic depinning threshold
• Elastic interfaces on disordered substrates: From mean-field depinning to yielding
• Properties of the density of shear transformations in driven amorphous solids
• Modeling plasticity of amorphous composites: Scalar is not enough
• The Prandtl-Tomlinson model of friction with stochastic driving
• Derivation of the Johnson-Samwer $T^{(2/3)}$ Temperature Dependence of the Yield Strain in Metallic Glasses
• Thermally rounded depinning of an elastic interface on a washboard potential
• Thermal Effects in the dynamics of disordered elastic systems

Cited by in corpus (4)

• Elasticity, Facilitation and Dynamic Heterogeneity in Glass-Forming liquids
• Scaling description of creep flow in amorphous solids
• Nonequilibrium plastic roughening of metallic glasses yields self-affine topographies with strain-rate and temperature-dependent scaling exponents
• Dynamic phase diagram of plastically deformed amorphous solids at finite temperature