Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

692845.pdf (4.31 MB)

Document type

Article

Version

Published version

Publication date

2018-03-29

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192924

Universal avalanche statistics and triggering close to failure in a mean field model of rheological fracture.

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.1103/PhysRevE.97.033002

Abstract

The hypothesis of critical failure relates the presence of an ultimate stability point in the structural constitutive equation of materials to a divergence of characteristic scales in the microscopic dynamics responsible for deformation. Avalanche models involving critical failure have determined common universality classes for stick-slip processes and fracture. However, not all empirical failure processes exhibit the trademarks of criticality. The rheological properties of materials introduce dissipation, usually reproduced in conceptual models as a hardening of the coarse grained elements of the system. Here, we investigate the effects of transient hardening on (i) the activity rate and (ii) the statistical properties of avalanches. We find the explicit representation of transient hardening in the presence of generalized viscoelasticity and solve the corresponding mean-field model of fracture. In the quasistatic limit, the accelerated energy release is invariant with respect to rheology and the avalanche propagation can be reinterpreted in terms of a stochastic counting process. A single universality class can be defined from such analogy, and all statistical properties depend only on the distance to criticality. We also prove that interevent correlations emerge due to the hardening¿even in the quasistatic limit¿that can be interpreted as 'aftershocks' and 'foreshocks.'

Subject

Viscoelasticitat, Processos irreversibles, Mecànica estadística del no equilibri

Subject (English)

Viscoelasticity, Irreversible processes, Nonequilibrium statistical mechanics

Citation

Collections

Articles publicats en revistes (Física de la Matèria Condensada)

Citation

BARÓ I URBEA, Jordi and DAVIDSEN, Jörn. Universal avalanche statistics and triggering close to failure in a mean field model of rheological fracture. Physical Review e. 2018. Vol. 97, num. 3, pags. 033002-1-033002-14. ISSN 2470-0045. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/192924

Export metadata

JSON - METS

Share record