Criticality in the Approach to Failure in Amorphous Solids. Lin, J., Gueudre, T., Rosso, A., & Wyart, M. PHYSICAL REVIEW LETTERS, AMER PHYSICAL SOC, 10, 2015. abstract bibtex Failure of amorphous solids 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 shear 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 theta that captures the stability of the material, which is
observed to vary continuously with stress, and we confirm our
predictions in elastoplastic models.
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title = {Criticality in the Approach to Failure in Amorphous Solids},
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year = {2015},
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abstract = {Failure of amorphous solids 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 shear 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 theta that captures the stability of the material, which is
observed to vary continuously with stress, and we confirm our
predictions in elastoplastic models.},
bibtype = {article},
author = {Lin, Jie and Gueudre, Thomas and Rosso, Alberto and Wyart, Matthieu},
journal = {PHYSICAL REVIEW LETTERS},
number = {16}
}
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