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26 April 2024 |
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Article overview
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Criticality in the approach to failure in granular materials and foams | Jie Lin
; Thomas Gueudré
; Alberto Rosso
; Matthieu Wyart
; | Date: |
11 May 2015 | Abstract: | Failure of granular materials is fundamental to various phenomena, including
landslides and earthquakes. Recent experiments indicate that highly plastic
regions form elongated structures that are especially apparent near the maximal
stress $Sigma_{max}$ where failure occurs. This observation suggested that
$Sigma_{max}$ acts as a critical point where the length scale of those
structures diverges, possibly causing macroscopic transient shear bands. Here
we argue instead that the entire solid phase ($Sigma<Sigma_{max}$) is
critical, that plasticity always involves system-spanning events, and that
their magnitude diverges at $Sigma_{max}$ independently of the presence of
shear bands. We relate the statistics and fractal properties of these
rearrangements to an exponent $ heta$ that captures the stability of the
material, which is observed to vary continuously with stress, and confirm our
predictions in elastoplastic models. | Source: | arXiv, 1505.2571 | Services: | Forum | Review | PDF | Favorites |
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