Fractal frontiers of bursts and cracks in a fiber bundle model of creep rupture

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Zsuzsa DankuHans J Herrmann

Abstract

We investigate the geometrical structure of breaking bursts generated during the creep rupture of heterogeneous materials. Using a fiber bundle model with localized load sharing we show that bursts are compact geometrical objects; however, their external frontiers have a fractal structure which reflects their growth dynamics. The perimeter fractal dimension of bursts proved to have the universal value 1.25 independent of the external load and of the amount of disorder in the system. We conjecture that according to their geometrical features, breaking bursts fall in the universality class of loop-erased self-avoiding random walks with perimeter fractal dimension 5/4 similar to the avalanches of Abelian sand pile models. The fractal dimension of the growing crack front along which bursts occur proved to increase from 1 to 1.25 as bursts gradually cover the entire front.

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Mar 12, 2013·Physical Review Letters·Jordi BaróEduard Vives
Sep 10, 2013·Physical Review Letters·Zsuzsa Danku, Ferenc Kun
Sep 21, 2013·Scientific Reports·Zsuzsa Danku, Ferenc Kun
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Citations

Sep 27, 2018·Physical Review. E·Réka Körei, Ferenc Kun
Oct 16, 2021·Scientific Reports·Tom Vincent-DospitalRenaud Toussaint

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