Statistical methods based on extreme value theory have recently proved useful for estimating the sizes of large inclusions in clean steels. Observational evidence, however, suggests that for some steels the methods need modification to account for the presence of different types of inclusions. A new model on which estimations may be based is proposed for cases when two or more types of inclusion are present. The paper shows that the new model is more realistic than an earlier mixture model and that it fits data equally well. It may be used to give extended guidance about sampling strategies when the presence of two or more types of inclusion is suspected. The new model also enables the rate of occurrence of different inclusion types to be estimated without identification of the types of individual inclusions, and it allows the effect on maximum inclusion size to be predicted when inclusion characteristics are modified.

Extreme value models for the assessment of steels containing multiple types of inclusion

BERETTA, STEFANO;
2006

Abstract

Statistical methods based on extreme value theory have recently proved useful for estimating the sizes of large inclusions in clean steels. Observational evidence, however, suggests that for some steels the methods need modification to account for the presence of different types of inclusions. A new model on which estimations may be based is proposed for cases when two or more types of inclusion are present. The paper shows that the new model is more realistic than an earlier mixture model and that it fits data equally well. It may be used to give extended guidance about sampling strategies when the presence of two or more types of inclusion is suspected. The new model also enables the rate of occurrence of different inclusion types to be estimated without identification of the types of individual inclusions, and it allows the effect on maximum inclusion size to be predicted when inclusion characteristics are modified.
ACTA MATERIALIA
File in questo prodotto:
File Dimensione Formato  
Beretta_ActaMaterialia_2006_V54_PP2277-2289.pdf

Accesso riservato

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 866.21 kB
Formato Adobe PDF
866.21 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11311/552652
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 53
  • ???jsp.display-item.citation.isi??? 44
social impact