TY - JOUR
T1 - Stochastic stability of performance properties for materials with non-deterministic microstructure
AU - Gitman, Inna M.
AU - Gitman, Mikhail B.
AU - Batin, Sergei E.
AU - Boyarshinov, Dmitriy A.
N1 - Funding Information:
The reported study was funded by the Ministry of Education and Science of the Russian Federation ‐ RFMEFI58617X0055 and by EU RISE project FRAMED‐734485. The authors express a gratitude to colleagues in the Magnitogorsk State Technical University for experimental data, used in this paper.
Publisher Copyright:
© 2020 Wiley-VCH GmbH
PY - 2021/6
Y1 - 2021/6
N2 - 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.
AB - 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.
KW - fuzzy sets
KW - microstructure parameters
KW - stochastic stability
KW - strength properties
KW - n/a OA procedure
UR - http://www.scopus.com/inward/record.url?scp=85097265506&partnerID=8YFLogxK
U2 - 10.1002/zamm.202000240
DO - 10.1002/zamm.202000240
M3 - Article
AN - SCOPUS:85097265506
SN - 0044-2267
VL - 101
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
IS - 6
M1 - e202000240
ER -