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001-es BibID:BIBFORM088104
035-os BibID:(cikkazonosító)053001 (Scopus)85075056631 (WoS)000494457300003
Első szerző:Kádár Viktória (okleveles anyagkutató)
Cím:System-size-dependent avalanche statistics in the limit of high disorder / Kádár Viktória, Kun Ferenc
Dátum:2019
ISSN:2470-0045 2470-0053
Megjegyzések:We investigate the effect of the amount of disorder on the statistics of breaking bursts during the quasistatic fracture of heterogeneous materials. We consider a fiber bundle model where the strength of single fibers is sampled from a power-law distribution over a finite range, so that the amount of materials' disorder can be controlled by varying the power-law exponent and the upper cutoff of fibers' strength. Analytical calculations and computer simulations, performed in the limit of equal load sharing, revealed that depending on the disorder parameters the mechanical response of the bundle is either perfectly brittle where the first fiber breaking triggers a catastrophic avalanche, or it is quasibrittle where macroscopic failure is preceded by a sequence of bursts. In the quasibrittle phase, the statistics of avalanche sizes is found to show a high degree of complexity. In particular, we demonstrate that the functional form of the size distribution of bursts depends on the system size: for large upper cutoffs of fibers' strength, in small systems the sequence of bursts has a high degree of stationarity characterized by a power-law size distribution with a universal exponent. However, for sufficiently large bundles the breaking process accelerates towards the critical point of failure, which gives rise to a crossover between two power laws. The transition between the two regimes occurs at a characteristic system size which depends on the disorder parameters.
Tárgyszavak:Természettudományok Fizikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Megjelenés:Physical review. E. - 100 : 5 (2019), p. 1-9. -
További szerzők:Kun Ferenc (1966-) (fizikus)
Pályázati támogatás:EFOP-3.6.1-16-2016-00022
EFOP
Internet cím:Szerző által megadott URL
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