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

Kim Wallin

doi:10.1016/j.engfracmech.2012.05.018

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

Kim Wallin (Corresponding Author)

Research output: Contribution to journal › Article › Scientific › peer-review

6 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 language	English
Pages (from-to)	69-78
Number of pages	9
Journal	Engineering Fracture Mechanics
Volume	103
DOIs	https://doi.org/10.1016/j.engfracmech.2012.05.018
Publication status	Published - 2012
MoE publication type	A1 Journal article-refereed

Keywords

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

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10.1016/j.engfracmech.2012.05.018

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

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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AB - 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.

KW - Binomial probability

KW - cleavage fracture

KW - Euro data set

KW - master curve

KW - rank probability

KW - statistical analysis

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DO - 10.1016/j.engfracmech.2012.05.018

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VL - 103

SP - 69

EP - 78

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

SN - 0013-7944

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