Open AccessESTIMATION OF THE DEPENDENCE PARAMETERS OF NUCLEAR STRUCTURAL MATERIALS HARDNESS ON THE CONTENT OF GAS IMPURITIES: AN INTERVAL APPROACH
Author(s) -
Т.V. Potanina,
О.V. Yefimov,
М.М. Pylypenko
Publication year - 2021
Publication title -
problems of atomic science and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 17
eISSN - 1562-6016
pISSN - 1682-9344
DOI - 10.46813/2021-135-077
Subject(s) - brinell scale , outlier , hafnium , interval (graph theory) , reliability (semiconductor) , correctness , materials science , content (measure theory) , algorithm , analytical chemistry (journal) , computer science , mathematics , statistics , thermodynamics , chemistry , physics , metallurgy , mathematical analysis , zirconium , power (physics) , alloy , combinatorics , chromatography
The applications of the interval and standard probabilistic approaches for verifying the reliability of the results of an experiment studying the mechanical properties of nuclear materials are compared. The presence of “outliers” in a sample of hardness values for hafnium ingots is studied with for fixed oxygen mass content. The situation of measurement error limitation without reliable information about its distribution is considered. The correctness of the application of numerical methods of interval analysis for processing experimental data under conditions of uncertainty and noisy experimental data is shown. Determination of the dependence of the Brinell hardness of refined hafnium samples on the mass oxygen content was performed by a combination of methods: removal of anomalous measurements by interval analysis methods and approximation of data from truncated samples by the method Levenberg-Marquardt minimization.