dc.creator | Ferrero, Ezequiel E. | |
dc.creator | Jagla, Eduardo Alberto | |
dc.date.accessioned | 2021-01-27T13:29:10Z | |
dc.date.accessioned | 2022-10-14T22:16:38Z | |
dc.date.available | 2021-01-27T13:29:10Z | |
dc.date.available | 2022-10-14T22:16:38Z | |
dc.date.created | 2021-01-27T13:29:10Z | |
dc.date.issued | 2019-10 | |
dc.identifier | Ferrero, 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.identifier | 1744-683X | |
dc.identifier | http://hdl.handle.net/11336/123870 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4312973 | |
dc.description.abstract | We 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.language | eng | |
dc.publisher | Royal Society of Chemistry | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://xlink.rsc.org/?DOI=C9SM01073D | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1039/C9SM01073D | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Amorphous Solids | |
dc.subject | Yielding Transition | |
dc.subject | Elastoplastic Models | |
dc.subject | Universality | |
dc.title | Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |