Time-dependent fracture under unloading in a fiber bundle model

Réka Körei, F. Kun

Research output: Contribution to journalArticle

Abstract

We investigate the fracture of heterogeneous materials occurring under unloading from an initial load. Based on a fiber bundle model of time-dependent fracture, we show that depending on the unloading rate the system has two phases: for rapid unloading the system suffers only partial failure and it has an infinite lifetime, while at slow unloading macroscopic failure occurs in a finite time. The transition between the two phases proved to be analogous to continuous phase transitions. Computer simulations revealed that during unloading the fracture proceeds in bursts of local breakings triggered by slowly accumulating damage. In both phases the time evolution starts with a relaxation of the bursting activity characterized by a universal power-law decay of the burst rate. In the phase of finite lifetime the initial slowdown is followed by an acceleration towards macroscopic failure where the increasing rate of bursts obeys the (inverse) Omori law of earthquakes. We pointed out a strong correlation between the time where the event rate reaches a minimum value and of the lifetime of the system which allows for forecasting of the imminent catastrophic failure.

Original languageEnglish
Article number023004
JournalPhysical Review E
Volume98
Issue number2
DOIs
Publication statusPublished - Aug 27 2018

Fingerprint

unloading
Fiber Bundle
bundles
Burst
Lifetime
fibers
bursts
life (durability)
Heterogeneous Materials
Bursting
Earthquake
binary systems (materials)
Model
Forecasting
Power Law
Phase Transition
Computer Simulation
Damage
forecasting
Decay

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Time-dependent fracture under unloading in a fiber bundle model. / Körei, Réka; Kun, F.

In: Physical Review E, Vol. 98, No. 2, 023004, 27.08.2018.

Research output: Contribution to journalArticle

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