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Stress Transmission and Failure in Disordered Porous Media

TitleStress Transmission and Failure in Disordered Porous Media
Publication TypeJournal Article
Year of Publication2017
AuthorsLaubie H, Radjaï F, Pellenq RJean-Marc, Ulm F-J
JournalPhysical Review Letters
Volume119
Issue7
Pagination Article Number: 075501
Date PublishedAug-14-2017
ISSN0031-9007
Abstract

By means of extensive lattice-element simulations, we investigate stress transmission and its relation with failure properties in increasingly disordered porous systems. We observe a non-Gaussian broadening of stress probability density functions under tensile loading with increasing porosity and disorder, revealing a gradual transition from a state governed by single-pore stress concentration to a state controlled by multipore interactions and metric disorder. This effect is captured by the excess kurtosis of stress distributions and shown to be nicely correlated with the second moment of local porosity fluctuations, which appears thus as a (dis)order parameter for the system. By generating statistical ensembles of porous textures with varying porosity and disorder, we derive a general expression for the fracture stress as a decreasing function of porosity and disorder. Focusing on critical sites where the local stress is above the global fracture threshold, we also analyze the transition to failure in terms of a coarse-graining length. These findings provide a general framework which can also be more generally applied to multiphase and structural heterogeneous materials.

URLhttps://link.aps.org/doi/10.1103/PhysRevLett.119.075501
DOI10.1103/PhysRevLett.119.075501
Short TitlePhys. Rev. Lett.
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