Scaling description of the yielding transition in soft amorphous solids at zero temperature
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- Jie Lin
- Center for Soft Matter Research, Department of Physics, New York University, New York, NY 10003; and
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- Edan Lerner
- Center for Soft Matter Research, Department of Physics, New York University, New York, NY 10003; and
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- Alberto Rosso
- Laboratoire de Physique Théorique et Modèles Statistiques (Centre National de la Recherche Scientifique, Unité Mixte de Recherche 8626), Université de Paris-Sud, 91405 Orsay Cedex, France
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- Matthieu Wyart
- Center for Soft Matter Research, Department of Physics, New York University, New York, NY 10003; and
説明
<jats:title>Significance</jats:title> <jats:p>Yield stress solids flow if a sufficiently large shear stress is applied. Although such materials are ubiquitous and relevant for industry, there is no accepted microscopic description of how they yield. Here we propose a scaling description of the yielding transition that relates the flow curve, the statistics of the avalanches of plasticity observed at threshold, and the density of local zones that are about to yield. Our description shares some similarity with the depinning transition that occurs when an elastic manifold is driven through a random potential, but also presents some striking differences. Numerical simulations on a simple elasto-plastic model find good agreement with our predictions.</jats:p>
収録刊行物
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- Proceedings of the National Academy of Sciences
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Proceedings of the National Academy of Sciences 111 (40), 14382-14387, 2014-09-22
Proceedings of the National Academy of Sciences
