We investigate the time evolution of a bundle of fibers subject to a constant external load. Breaking events are initiated by thermally induced stress fluctuations followed by load redistribution which subsequently leads to an avalanche of breakings. We compare analytic results obtained in the mean-field limit to the computer simulations of localized load redistribution to reveal the effect of the range of interaction on the time evolution. Focusing on the waiting times between consecutive bursts we show that the time evolution has two distinct forms: at high load values the breaking process continuously accelerates towards macroscopic failure, however, for low loads and high enough temperatures the acceleration is preceded by a slow-down. Analyzing the structural entropy and the location of consecutive bursts we show that in the presence of stress concentration the early acceleration is the consequence of damage localization. The distribution of waiting times has a power law form with an exponent switching between 1 and 2 as the load and temperature are varied.
Bibliographical noteKAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-005-04
Acknowledgements: The work is supported by TAMOP-4.2.1/B-09/1/KONV-2010-0007 project. The project is implemented through the New Hungary Development Plan, co-financed by the European Social Fund and the European Regional Development Fund. FK acknowledges the support of OTKA K84157 and of the Bolyai Janos foundation of the HAS. This work was supported by the European Commissions by the Complexity-NET pilot project LOCAT. This work was partly supported by the MTA-JSPS program, by JP-24/2009 and by the Global Research Partnership program of KAUST (KUK-I1-005-04). This work is partially supported by Grant-in-Aid for JSPS Fellows.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.