Critical scaling for yield is independent of distance to isostaticity
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Authors
Thompson, Jacob D.
Clark, Abram H.
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Date of Issue
2019
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American Physical Society
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Abstract
Using discrete element simulations, we demonstrate that critical behavior for yielding in soft disk and sphere packings is independent of the distance to isostaticity over a wide range of dimensionless pressures. Jammed states are explored via quasistatic shear at fixed pressure, and the statistics of the dimensionless shear stress μ of these states obey a scaling description with a diverging length scale ξ ∝ |μ − μc |−ν . The critical scaling functions and values of the scaling exponents are nearly independent of distance to isostaticity despite the large range of pressures studied. Our results demonstrate that yielding of jammed systems represents a distinct nonequilibrium critical transition from the isostatic critical transition which has been demonstrated by previous studies. Our results may also be useful in deriving nonlocal rheological descriptions of granular materials, foams, emulsions, and other soft particulate materials.
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Article
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The article of record as published may be found at https://doi.org/10.1103/PhysRevResearch.1.012002
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Physics
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6 p.
Citation
Thompson, Jacob D., and Abram H. Clark. "Critical scaling for yield is independent of distance to isostaticity." Physical Review Research 1.1 (2019): 012002.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.