Blending stiffness and strength disorder can stabilize fracture

Ehud D. Karpas, F. Kun

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Quasibrittle behavior, where macroscopic failure is preceded by stable damaging and intensive cracking activity, is a desired feature of materials because it makes fracture predictable. Based on a fiber-bundle model with global load sharing we show that blending strength and stiffness disorder of material elements leads to the stabilization of fracture, i.e., samples that are brittle when one source of disorder is present become quasibrittle as a consequence of blending. We derive a condition of quasibrittle behavior in terms of the joint distribution of the two sources of disorder. Breaking bursts have a power-law size distribution of exponent 5/2 without any crossover to a lower exponent when the amount of disorder is gradually decreased. The results have practical relevance for the design of materials to increase the safety of constructions.

Original languageEnglish
Article number033002
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume93
Issue number3
DOIs
Publication statusPublished - Mar 4 2016

Fingerprint

Disorder
stiffness
Stiffness
disorders
Exponent
exponents
Load Sharing
Fiber Bundle
Power-law Distribution
Cracking
Burst
Joint Distribution
bundles
Crossover
bursts
safety
crossovers
Stabilization
stabilization
Safety

ASJC Scopus subject areas

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

Cite this

Blending stiffness and strength disorder can stabilize fracture. / Karpas, Ehud D.; Kun, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 93, No. 3, 033002, 04.03.2016.

Research output: Contribution to journalArticle

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