Methods for estimating the sizes of large inclusions in clean steels

Acta Materialia

Volumn 53, Issue 8, 2005, Pages 2295-2304

  Anderson, C W ^a   De Mare J ^b   Rootzen H ^b  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Fatigue; Image analysis; Statistics of extremes; Steels; Theory

Indexed keywords

DATA REDUCTION; FATIGUE OF MATERIALS; FUNCTIONS; GRAPHIC METHODS; IMAGE ANALYSIS; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION;

AREA MAXIMUM (AM) METHOD; FATIGUE; GUMBEL DISTRIBUTION; STATISTICS OF EXTREMES;

STEEL;

EID: 16344366911     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2005.01.035     Document Type: Article

References (16)

1. Y. Murakami Metal fatigue: Effects of small defects and inclusions 2002 Elsevier Amsterdam
2. Y. Murakami, and T. Usuki Prediction of fatigue strength of high-strength steels based on statistical evaluation of inclusion size Trans Jpn Soc Mech Eng A 55 1989 213 221
3. Y. Murakami, Y. Uemura, and K. Kawakami Some problems in the application of statistics of extreme values to estimation of the maximum size of nonmetallic inclusions in metal Trans Jpn Soc Mech Eng A 55 1989 58 62
4. G. Shi, H.V. Atkinson, C.M. Sellars, and C.W. Anderson Application of the generalized Pareto distribution to the estimation of the size of the maximum inclusion in clean steels Acta Mater 47 1999 1455 1468
5. A.C. Davison, and R.L. Smith Models for exceedances over high thresholds (with discussion) JR Statist Soc B 52 1990 393 442
6. Anderson CW, Beretta S, de Maré J, Svensson T. Technical recommendations for the extreme value analysis of data on large nonmetallic inclusions in steels. ESIS P11-02, European Structural Integrity Society, Geesthacht, 2002. p. 29, ISSN 1616-2129
7. S. Beretta, and Y. Murakami Statistical analysis of defects for fatigue strength prediction and quality control of materials Fatigue Fract Eng Mater Struct 21 1998 1049 1065
8. D. Stoyan, W.S. Kendall, and J. Mecke Stochastic geometry and its applications 2nd ed. 1995 Wiley Chichester & New York
9. C.W. Anderson, G. Shi, H.V. Atkinson, C.M. Sellars, and J.R. Yates Interrelationship between statistical methods for estimating the size of the maximum inclusion in clean steels Acta Mater 51 2003 2331 2343
10. M.R. Leadbetter, G. Lindgren, and H. Rootzén Extremes and related properties of random sequences and processes 1983 Springer Verlag New York, Heidelburg, Berlin
11. J. Pickands III Statistical inference using extreme order statistics Ann Statist 3 1975 119 131
12. W. Feller An introduction to probability theory and its applications 1971 Wiley New York
13. R. Takahashi, and M. Sibuya The maximum size of planar section of spheres and its application to metallurgy Ann Inst Stat Math 48 1996 127 144
14. R. Takahashi, and M. Sibuya Prediction of the maximum size in Wicksell's corpuscle problem Ann Inst Stat Math 50 1998 361 377
15. S.G. Coles An introduction to statistical modelling of extreme values 2001 Springer Verlag London
16. Y. Uemura, and Y. Murakami A numerical simulation of evaluating the maximum size of inclusions to examine the validity of the metallographic determination of the maximum size of inclusions Trans Jpn Soc Mech Eng 56 1990 162 167