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Study of the influence of notch radii and temperature on the probability of failure: A methodology to perform a combined assessment
Author(s) -
MuñizCalvente Miguel,
ÁlvarezVázquez Adrián,
Cicero Sergio,
Correia José A.F.O.,
Jesus Abilio M.P.,
Blasón Sergio,
FernándezCanteli Alfonso,
Berto Filippo
Publication year - 2019
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/ffe.13082
Subject(s) - weibull distribution , fracture toughness , materials science , probabilistic logic , fracture (geology) , function (biology) , toughness , scale (ratio) , field (mathematics) , fracture mechanics , structural engineering , composite material , mathematics , statistics , engineering , physics , quantum mechanics , evolutionary biology , pure mathematics , biology
The fracture assessment of notched components based on cracked components approaches leads to over‐conservative failure predictions. In the research literature, several approaches are proposed to overcome this problem using an apparent fracture toughness, K mat N . Nevertheless, most of these approaches are based on deterministic assumptions despite the large and variable scatter exhibited by K mat N for different notch radii ( ρ ) or temperatures ( T ). This paper proposes a methodology for deriving a probabilistic K mat N − ρ field including the effect of temperature on the failure of notched components. First, the theory of critical distances is applied to transform each apparent fracture toughness into the equivalent fracture toughness for ρ = 0. Then, the temperature is supposed to act as a scale effect in the Weibull cumulative distribution function of the equivalent fracture toughness, and the corresponding scale effect function is derived. Finally, the applicability of the proposed methodology is illustrated by an example using two ferritic‐pearlitic steels: S275JR and S355J2.