Correlation regimes in fluctuations of fatigue crack growth

Nicola Scafetta, Asok Ray, Bruce J. West

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This paper investigates correlation properties of fluctuations in fatigue crack growth of polycrystalline materials, such as ductile alloys, that are commonly encountered in structures and machinery components of complex electromechanical systems. The model of crack damage measure indicates that the fluctuations of fatigue crack growth are characterized by strong correlation patterns within short-time scales and are uncorrelated for larger time scales. The two correlation regimes suggest that the 7075-T6 aluminum alloy, analyzed in this paper, is characterized by a micro-structure which is responsible for an intermittent correlated dynamics of fatigue crack growth within a certain scale. The constitutive equations of the damage measure are built upon the physics of fracture mechanics and are substantiated by Karhunen-Loève decomposition of fatigue test data. Statistical orthogonality of the estimated damage measure and the resulting estimation error are demonstrated in a Hilbert space setting.

Original languageEnglish (US)
Pages (from-to)1-23
Number of pages23
JournalPhysica A: Statistical Mechanics and its Applications
Volume359
Issue number1-4
DOIs
StatePublished - Jan 1 2006

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Fatigue Crack Growth
cracks
Damage
Fluctuations
Time Scales
damage
Fracture Mechanics
Aluminum Alloy
Estimation Error
Constitutive Equation
Orthogonality
Fatigue
fatigue tests
fracture mechanics
Microstructure
orthogonality
machinery
Crack
constitutive equations
Hilbert space

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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Correlation regimes in fluctuations of fatigue crack growth. / Scafetta, Nicola; Ray, Asok; West, Bruce J.

In: Physica A: Statistical Mechanics and its Applications, Vol. 359, No. 1-4, 01.01.2006, p. 1-23.

Research output: Contribution to journalArticle

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