Damage process of a fiber bundle with a strain gradient

F. Kun, Sándor Nagy

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We study the damage process of fiber bundles in a wedge-shape geometry which ensures a constant strain gradient. To obtain the wedge geometry we consider the three-point bending of a bar, which is modeled as two rigid blocks glued together by a thin elastic interface. The interface is discretized by parallel fibers with random failure thresholds, which become elongated when the bar is bent. Analyzing the progressive damage of the system we show that the strain gradient results in a rich spectrum of novel behavior of fiber bundles. We find that for weak disorder an interface crack is formed as a continuous region of failed fibers. Ahead of the crack a process zone develops which proved to shrink with increasing deformation, making the crack tip sharper as the crack advances. For strong disorder, failure of the system occurs as a spatially random sequence of breakings. Damage of the fiber bundle proceeds in bursts whose size distribution shows a power law behavior with a crossover from an exponent 2.5 to 2.0 as the disorder is weakened. The size of the largest burst increases as a power law of the strength of disorder with an exponent 23 and saturates for strongly disordered bundles.

Original languageEnglish
Article number016608
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number1
DOIs
Publication statusPublished - Jan 30 2008

Fingerprint

Strain Gradient
Fiber Bundle
bundles
Disorder
Damage
damage
gradients
fibers
disorders
Wedge
Burst
cracks
Crack
Power Law
wedges
Exponent
Fiber
bursts
Interface Crack
exponents

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Damage process of a fiber bundle with a strain gradient. / Kun, F.; Nagy, Sándor.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 77, No. 1, 016608, 30.01.2008.

Research output: Contribution to journalArticle

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