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Scaling Description of Creep Flow in Amorphous Solids

Marko Popović, Tom W. J. de Geus, Wencheng Ji, Alberto Rosso, and Matthieu Wyart
Phys. Rev. Lett. 129, 208001 – Published 9 November 2022
Physics logo See synopsis: How Materials Get the Creeps
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Abstract

Amorphous solids such as coffee foam, toothpaste, or mayonnaise display a transient creep flow when a stress Σ is suddenly imposed. The associated strain rate is commonly found to decay in time as γ˙tν, followed either by arrest or by a sudden fluidization. Various empirical laws have been suggested for the creep exponent ν and fluidization time τf in experimental and numerical studies. Here, we postulate that plastic flow is governed by the difference between Σ and the transient yield stress Σt(γ) that characterizes the stability of configurations visited by the system at strain γ. Assuming the analyticity of Σt(γ) allows us to predict ν and asymptotic behaviors of τf in terms of properties of stationary flows. We test successfully our predictions using elastoplastic models and published experimental results.

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  • Received 17 January 2022
  • Revised 11 July 2022
  • Accepted 27 September 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.208001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft MatterCondensed Matter, Materials & Applied Physics

synopsis

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How Materials Get the Creeps

Published 9 November 2022

Researchers have developed a comprehensive theory of creep flow—a type of flow seen in amorphous solids such as coffee foam.

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Authors & Affiliations

Marko Popović1,2,3, Tom W. J. de Geus1, Wencheng Ji1, Alberto Rosso4, and Matthieu Wyart1

  • 1Institute of Physics, EPFL, Lausanne, Switzerland
  • 2Max Planck Institute for Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany
  • 3Center for Systems Biology Dresden, Pfotenhauer Strasse 108, 01307 Dresden, Germany
  • 4LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France

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Issue

Vol. 129, Iss. 20 — 11 November 2022

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