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

Kim Wallin*

*Corresponding author for this work

    Research output: Contribution to journalArticleScientificpeer-review

    7 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
    JournalEngineering Fracture Mechanics
    Volume103
    DOIs
    Publication statusPublished - 2012
    MoE publication typeA1 Journal article-refereed

    Funding

    The procedure development work has been part of the authors Academy Professorship, funded by the Academy of Finland decision 117700. The present work is part of the FAR project belonging to the SAFIR 2014 research programme funded by VTT and by the State Nuclear Waste Management Fund (VYR), as well as other key organisations.

    Keywords

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

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