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Deformation and flow of amorphous solids: Insights from elastoplastic models

Alexandre Nicolas, Ezequiel E. Ferrero, Kirsten Martens, and Jean-Louis Barrat

Alexandre Nicolas

  • LPTMS, CNRS, Univ. Paris-Sud, Université Paris-Saclay, 91405 Orsay, France

Ezequiel E. Ferrero

  • Centro Atómico Bariloche, 8400 San Carlos de Bariloche, Río Negro, Argentina

Kirsten Martens and Jean-Louis Barrat

  • Univ. Grenoble Alpes, CNRS, LIPhy, 38000 Grenoble, France

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Rev. Mod. Phys. 90, 045006 – Published 26 December, 2018

DOI: https://doi.org/10.1103/RevModPhys.90.045006

Abstract

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes, elastoplastic models handle the material as a collection of “mesoscopic” blocks alternating between an elastic behavior and plastic relaxation, when they are loaded above a threshold. Plastic relaxation events redistribute stresses in the system in a very anisotropic way. A review is given of not only the physical insight provided by these models into practical issues such as strain localization, creep, and steady-state rheology, but also the fundamental questions that they address with respect to criticality at the yielding point and the statistics of avalanches of plastic events. Furthermore, connections are discussed with concurrent mean-field approaches and with related problems such as the plasticity of crystals and the depinning of an elastic line.

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Rev. Mod. Phys. 90, 045006– Published 26 December, 2018
  • Received 6 September 2017
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