Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 69-78 |
| Number of pages | 9 |
| Journal | Engineering Fracture Mechanics |
| Volume | 103 |
| DOIs | |
| Publication status | Published - 2012 |
| MoE publication type | A1 Journal article-refereed |
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Keywords
- Binomial probability
- cleavage fracture
- Euro data set
- master curve
- rank probability
- statistical analysis
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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 journal › Article › Scientific › peer-review
TY - JOUR
T1 - Distribution free statistical assessment of scatter and size effects in the Euro fracture toughness data set
AU - Wallin, Kim
PY - 2012
Y1 - 2012
N2 - 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.
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
U2 - 10.1016/j.engfracmech.2012.05.018
DO - 10.1016/j.engfracmech.2012.05.018
M3 - Article
VL - 103
SP - 69
EP - 78
JO - Engineering Fracture Mechanics
JF - Engineering Fracture Mechanics
SN - 0013-7944
ER -