Emergence of a random field at the yielding transition of a mean-field elasto-plastic model

S Rossi, G Tarjus - Journal of Statistical Mechanics: Theory and …, 2022 - iopscience.iop.org
We study the mean-field limit of an elasto-plastic model introduced to describe the yielding
transition of athermally and quasi-statically sheared amorphous solids. We focus on the …

Ductile and brittle yielding of athermal amorphous solids: A mean-field paradigm beyond the random-field Ising model

JT Parley, P Sollich - Physical Review E, 2024 - APS
Amorphous solids can yield in either a ductile or brittle manner under strain: plastic
deformation can set in gradually, or abruptly through a macroscopic stress drop. Developing …

Random critical point separates brittle and ductile yielding transitions in amorphous materials

M Ozawa, L Berthier, G Biroli… - Proceedings of the …, 2018 - National Acad Sciences
We combine an analytically solvable mean-field elasto-plastic model with molecular
dynamics simulations of a generic glass former to demonstrate that, depending on their …

Mean-field theory of yielding under oscillatory shear

JT Parley, S Sastry, P Sollich - Physical Review Letters, 2022 - APS
We study a mean field elastoplastic model, embedded within a disordered landscape of
local yield barriers, to shed light on the behavior of athermal amorphous solids subject to …

Towards a complete mean-field theory for the ductile and brittle yielding of amorphous solids: beyond the paradigm of the Ising model in a random field

JT Parley, P Sollich - arXiv preprint arXiv:2310.07843, 2023 - arxiv.org
Developing a unified theory describing both ductile and brittle yielding constitutes a
fundamental challenge of non-equilibrium statistical physics. Recently, it has been proposed …

Critical exponents of the yielding transition of amorphous solids

I Fernández Aguirre, EA Jagla - Physical Review E, 2018 - APS
We investigate numerically the yielding transition of a two-dimensional model amorphous
solid under external shear. We use a scalar model in terms of values of the total local strain …

Mean-field description of aging linear response in athermal amorphous solids

JT Parley, R Mandal, P Sollich - Physical Review Materials, 2022 - APS
We study the linear response to strain in a mean-field elastoplastic model for athermal
amorphous solids, incorporating the power-law mechanical noise spectrum arising from …

Far-from-equilibrium criticality in the random-field Ising model with Eshelby interactions

S Rossi, G Biroli, M Ozawa, G Tarjus - Physical Review B, 2023 - APS
We study a quasistatically driven random-field Ising model (RFIM) at zero temperature with
interactions mediated by the long-range anisotropic Eshelby kernel. Analogously to …

Aging in a mean field elastoplastic model of amorphous solids

JT Parley, SM Fielding, P Sollich - Physics of Fluids, 2020 - pubs.aip.org
We construct a mean-field elastoplastic description of the dynamics of amorphous solids
under arbitrary time-dependent perturbations, building on the work of Lin and Wyart [Phys …

Statistical physics of elastoplastic steady states in amorphous solids: Finite temperatures and strain rates

S Karmakar, E Lerner, I Procaccia, J Zylberg - Physical Review E—Statistical …, 2010 - APS
The effect of finite temperature T and finite strain rate γ ̇ on the statistical physics of plastic
deformations in amorphous solids made of N particles is investigated. We recognize three …