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25 April 2024 |
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Article overview
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Scaling Description of Non-Local Rheology | Thomas Gueudré
; Jie Lin
; Alberto Rosso
; Matthieu Wyart
; | Date: |
25 Jul 2016 | Abstract: | Non-locality is crucial to understand the plastic flow of an amorphous
material, and has been successfully described by the fluidity, along with a
cooperativity length scale {xi}. We demonstrate, by applying the scaling
hypothesis to the yielding transition, that non-local effects in non-uniform
stress configurations can be explained within the framework of critical
phenomena. From the scaling description, scaling relations between different
exponents are derived, and collapses of strain rate profiles are made both in
shear driven and pressure driven flow. We find that the cooperative length in
non-local flow is governed by the same correlation length in finite dimensional
homogeneous flow, excluding the mean field exponents. We also show that
non-locality also affects the finite size scaling of the yield stress,
especially the large finite size effects observed in pressure driven flow. Our
theoretical results are nicely verified by the elasto-plastic model, and
experimental data. | Source: | arXiv, 1607.7290 | Services: | Forum | Review | PDF | Favorites |
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