Universal features of amorphous plasticity

Zoe Budrikis, David Fernandez Castellanos, Stefan Sandfeld, Michael Zaiser () and Stefano Zapperi ()
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Zoe Budrikis: ISI Foundation
David Fernandez Castellanos: WW8-Materials Simulation, FAU Universität Erlangen-Nürnberg, Dr.-Mack-Strasse 77, 90762 Fürth
Stefan Sandfeld: WW8-Materials Simulation, FAU Universität Erlangen-Nürnberg, Dr.-Mack-Strasse 77, 90762 Fürth
Michael Zaiser: WW8-Materials Simulation, FAU Universität Erlangen-Nürnberg, Dr.-Mack-Strasse 77, 90762 Fürth
Stefano Zapperi: ISI Foundation

Nature Communications, 2017, vol. 8, issue 1, 1-10

Abstract: Abstract Plastic yielding of amorphous solids occurs by power-law distributed deformation avalanches whose universality is still debated. Experiments and molecular dynamics simulations are hampered by limited statistical samples, and although existing stochastic models give precise exponents, they require strong assumptions about fixed deformation directions, at odds with the statistical isotropy of amorphous materials. Here, we introduce a fully tensorial, stochastic mesoscale model for amorphous plasticity that links the statistical physics of plastic yielding to engineering mechanics. It captures the complex shear patterning observed for a wide variety of deformation modes, as well as the avalanche dynamics of plastic flow. Avalanches are described by universal size exponents and scaling functions, avalanche shapes, and local stability distributions, independent of system dimensionality, boundary and loading conditions, and stress state. Our predictions consistently differ from those of mean-field depinning models, providing evidence that plastic yielding is a distinct type of critical phenomenon.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_ncomms15928

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DOI: 10.1038/ncomms15928

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