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Stochastic stability of performance properties for materials with non‐deterministic microstructure
Author(s) -
Gitman Inna M.,
Gitman Mikhail B.,
Batin Sergei E.,
Boyarshinov Dmitriy A.
Publication year - 2021
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.202000240
Subject(s) - stability (learning theory) , stochastic process , stochastic modelling , computer science , material properties , scale (ratio) , raw material , mathematical optimization , mathematics , materials science , statistics , machine learning , physics , composite material , chemistry , organic chemistry , quantum mechanics
In this contribution an original concept of stochastic stability (P‐stability), formulated here to represent realistic stochastic nature of materials, is employed for stability analysis of material performance characteristics. Stochasticity in materials can be related, for example, to manufacturing processes, potential treatment of material, or properties of raw materials. On the other hand, performance characteristics, obtained through the novel fuzzy sets based multi‐scale methodology, are also of stochastic nature. The particular strength of this newly developed P‐stability, is its ability to analyse not only individual characteristics, but also multiple characteristics simultaneously. This methodology also allows to estimate and quantify an actual accuracy of obtained characteristics.