Distribution free statistical assessment of scatter and size effects in the Euro fracture toughness data set

Kim Wallin (Corresponding Author)

    Research output: Contribution to journalArticleScientificpeer-review

    4 Citations (Scopus)

    Abstract

    One of the largest and best characterised fracture toughness data sets is the so called Euro data set developed in a European co-operation project some time ago. Probably the most objective analysis of the data set was made using a distribution comparison method. Recently, an improvement of the method has been achieved by combining the Rank probability estimates (based on toughness) with Binomial probability estimates (based on temperature). This novel combination of Rank and Binomial probability estimates double the number of independent individual point estimates, making the overall estimate more accurate with respect to the true value. The strength in this statistical analysis method lies in the objectiveness of the result. This new statistical assessment method is here applied to analyse the Euro fracture toughness data set once more. The results can be used to form a new basis for micro-mechanistic modelling of cleavage fracture.
    Original languageEnglish
    Pages (from-to)69-78
    Number of pages9
    JournalEngineering Fracture Mechanics
    Volume103
    DOIs
    Publication statusPublished - 2012
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Fracture toughness
    Toughness
    Statistical methods
    Temperature

    Keywords

    • Binomial probability
    • cleavage fracture
    • Euro data set
    • master curve
    • rank probability
    • statistical analysis

    Cite this

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    abstract = "One of the largest and best characterised fracture toughness data sets is the so called Euro data set developed in a European co-operation project some time ago. Probably the most objective analysis of the data set was made using a distribution comparison method. Recently, an improvement of the method has been achieved by combining the Rank probability estimates (based on toughness) with Binomial probability estimates (based on temperature). This novel combination of Rank and Binomial probability estimates double the number of independent individual point estimates, making the overall estimate more accurate with respect to the true value. The strength in this statistical analysis method lies in the objectiveness of the result. This new statistical assessment method is here applied to analyse the Euro fracture toughness data set once more. The results can be used to form a new basis for micro-mechanistic modelling of cleavage fracture.",
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    Distribution free statistical assessment of scatter and size effects in the Euro fracture toughness data set. / Wallin, Kim (Corresponding Author).

    In: Engineering Fracture Mechanics, Vol. 103, 2012, p. 69-78.

    Research output: Contribution to journalArticleScientificpeer-review

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    KW - Binomial probability

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    KW - Euro data set

    KW - master curve

    KW - rank probability

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