Kertész line of thermally activated breakdown phenomena

Naoki Yoshioka, F. Kun, Nobuyasu Ito

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Based on a fiber bundle model we substantially extend the phase-transition analogy of thermally activated breakdown of homogeneous materials. We show that the competition of breaking due to stress enhancement and due to thermal fluctuations leads to an astonishing complexity of the phase space of the system: varying the load and the temperature a phase boundary emerges, separating a Griffith-type regime of abrupt failure analogous to first-order phase transitions from disorder dominated fracture where a spanning cluster of cracks emerges. We demonstrate that the phase boundary is the Kertész line of the system along which thermally activated fracture appears as a continuous phase transition analogous to percolation. The Kertész line has technological relevance setting the boundary of safe operation for construction components under high thermal loads.

Original languageEnglish
Article number055102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number5
DOIs
Publication statusPublished - Nov 12 2010

Fingerprint

Breakdown
breakdown
Line
Phase Transition
First-order Phase Transition
Fiber Bundle
bundles
Analogy
Disorder
Phase Space
Crack
cracks
Enhancement
disorders
Fluctuations
fibers
augmentation
Demonstrate
temperature
Model

ASJC Scopus subject areas

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

Cite this

Kertész line of thermally activated breakdown phenomena. / Yoshioka, Naoki; Kun, F.; Ito, Nobuyasu.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, No. 5, 055102, 12.11.2010.

Research output: Contribution to journalArticle

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