Size effect in fatigue based on the extreme value distribution of defects

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10 Citations (Scopus)

Abstract

Fatigue limits need to be extrapolated from test specimens to manufactured products. The relevant industry standards provide a method for this by utilizing the statistics of defects in the material. We show here that the standard method involves an inappropriate definition. Moreover, it relates to the characteristic size of the largest defects, which is not associated with any unique exceedance probability. We outline a more consistent method which, by a quantile of the largest defects, relates the sample size effect to the desired failure probability. This method is applicable also to samples smaller than the test specimen.
Original languageEnglish
Pages (from-to)68-71
Number of pages4
JournalMaterials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing
Volume594
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

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Fatigue of materials
Defects
defects
quantiles
industries
Statistics
statistics
products
Industry

Keywords

  • fatigue
  • gracture
  • material defect
  • microanalysis
  • size effect
  • steel

Cite this

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title = "Size effect in fatigue based on the extreme value distribution of defects",
abstract = "Fatigue limits need to be extrapolated from test specimens to manufactured products. The relevant industry standards provide a method for this by utilizing the statistics of defects in the material. We show here that the standard method involves an inappropriate definition. Moreover, it relates to the characteristic size of the largest defects, which is not associated with any unique exceedance probability. We outline a more consistent method which, by a quantile of the largest defects, relates the sample size effect to the desired failure probability. This method is applicable also to samples smaller than the test specimen.",
keywords = "fatigue, gracture, material defect, microanalysis, size effect, steel",
author = "Lasse Makkonen and R. Rabb and Maria TIkanm{\"a}ki",
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journal = "Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing",
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AU - Makkonen, Lasse

AU - Rabb, R.

AU - TIkanmäki, Maria

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N2 - Fatigue limits need to be extrapolated from test specimens to manufactured products. The relevant industry standards provide a method for this by utilizing the statistics of defects in the material. We show here that the standard method involves an inappropriate definition. Moreover, it relates to the characteristic size of the largest defects, which is not associated with any unique exceedance probability. We outline a more consistent method which, by a quantile of the largest defects, relates the sample size effect to the desired failure probability. This method is applicable also to samples smaller than the test specimen.

AB - Fatigue limits need to be extrapolated from test specimens to manufactured products. The relevant industry standards provide a method for this by utilizing the statistics of defects in the material. We show here that the standard method involves an inappropriate definition. Moreover, it relates to the characteristic size of the largest defects, which is not associated with any unique exceedance probability. We outline a more consistent method which, by a quantile of the largest defects, relates the sample size effect to the desired failure probability. This method is applicable also to samples smaller than the test specimen.

KW - fatigue

KW - gracture

KW - material defect

KW - microanalysis

KW - size effect

KW - steel

U2 - 10.1016/j.msea.2013.11.045

DO - 10.1016/j.msea.2013.11.045

M3 - Article

VL - 594

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EP - 71

JO - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

JF - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

SN - 0921-5093

ER -