dc.creatorFerrero, Ezequiel E.
dc.creatorJagla, Eduardo Alberto
dc.date.accessioned2021-01-27T13:29:10Z
dc.date.accessioned2022-10-14T22:16:38Z
dc.date.available2021-01-27T13:29:10Z
dc.date.available2022-10-14T22:16:38Z
dc.date.created2021-01-27T13:29:10Z
dc.date.issued2019-10
dc.identifierFerrero, Ezequiel E.; Jagla, Eduardo Alberto; Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates; Royal Society of Chemistry; Soft Matter; 15; 44; 10-2019; 9041-9055
dc.identifier1744-683X
dc.identifierhttp://hdl.handle.net/11336/123870
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4312973
dc.description.abstractWe analyze the behavior of different elastoplastic models approaching the yielding transition. We propose two kinds of rules for the local yielding events: Yielding occurs above the local threshold either at a constant rate or with a rate that increases as the square root of the stress excess. We establish a family of "static" universal critical exponents which do not depend on this dynamic detail of the model rules: In particular, the exponents for the avalanche size distribution P(S) ∼ S-τSf(S/Ldf) and the exponents describing the density of sites at the verge of yielding, which we find to be of the form P(x) ≃ P(0) + xθ with P(0) ∼ L-a controlling the extremal statistics. On the other hand, we discuss "dynamical" exponents that are sensitive to the local yielding rule. We find that, apart form the dynamical exponent z controlling the duration of avalanches, also the flowcurve's (inverse) Herschel-Bulkley exponent β ( ∼ (σ-σc)β) enters in this category, and is seen to differ in ½ between the two yielding rate cases. We give analytical support to this numerical observation by calculating the exponent variation in the Hébraud-Lequeux model and finding an identical shift. We further discuss an alternative mean-field approximation to yielding only based on the so-called Hurst exponent of the accumulated mechanical noise signal, which gives good predictions for the exponents extracted from simulations of fully spatial models.
dc.languageeng
dc.publisherRoyal Society of Chemistry
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://xlink.rsc.org/?DOI=C9SM01073D
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1039/C9SM01073D
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAmorphous Solids
dc.subjectYielding Transition
dc.subjectElastoplastic Models
dc.subjectUniversality
dc.titleCriticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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