Elastic interfaces on disordered substrates: From mean-field depinning to yielding

Abstract

We consider a model of an elastic manifold driven on a disordered energy landscape, with generalized long range elasticity. Varying the form of the elastic kernel by progressively allowing for the existence of zero-modes, the model interpolates smoothly between mean field depinning and finite dimensional yielding. We find that the critical exponents of the model change smoothly in this process. Also, we show that in all cases the Herschel-Buckley exponent of the flowcurve depends on the analytical form of the microscopic pinning potential. This is a compelling indication that within the present elastoplastic description yielding in finite dimension $d\ge 2$ is a mean-field transition.

6 pages, 5 figures

References in corpus (5)

• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• On the relevance of disorder in athermal amorphous materials under shear
• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
• Microscopic processes controlling the Herschel-Bulkley exponent
• The Prandtl-Tomlinson model of friction with stochastic driving

Cited by in corpus (11)

• Unified View of Avalanche Criticality in Sheared Glasses
• The yielding of amorphous solids at finite temperatures
• Properties of the density of shear transformations in driven amorphous solids
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• The role of microscopic friction in statistics and scaling laws of avalanches
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• The Fate of Shear-Oscillated Amorphous Solids
• Emergence of a random field at the yielding transition of a mean-field Elasto-Plastic model
• Soil creep facilitated by cyclic variations of environmental conditions
• Yielding versus random organization: convex absorbing transitions in soft matter