Application of probabilistic approaches for the construction of “composition–property” models. Part I (Theory)
https://doi.org/10.31659/0005-9889-2022-612-613-4-5-25-37
Abstract
In a series of two articles, the concept of constructing probabilistic models of the properties of concrete mixtures and concrete in the space of possible compositions on given materials is discussed. In the first part of the article, the following concepts are introduced: the mathematical space of compositions with demonstration of examples of its construction for concrete mixtures for various purposes, the length of the correlation of composition properties, and a quantitative measure of the proximity of compositions, which makes it possible to postulate the continuity of their properties. Based on the methods of Bayesian statistics and machine learning, methods are proposed for the effective use of a priori information on the properties of raw materials, accumulated statistical data on the properties of concrete mixes/concrete, expressed in the form of various empirical dependencies and physicochemical models, for constructing probabilistic models. The algorithm presented in the article makes it possible to create economical experimental plans for constructing a multidimensional response surface in the space of possible compositions. Further work with the obtained response surface can be carried out by various methods, for example, by studying slices along the coordinate axes of interest in arbitrary planes or directions.
About the Authors
R. O. Rezaev
IFW Institute for Theoretical Solid State Physics; Tomsk Polytechnic University
Germany
Germany
Candidate of Sciences (Physics and Mathematics)
e-mail: rezaev.roman@gmail.com
A. A. Dmitriev
Tomsk Polytechnic University
Russian Federation
Russian Federation
Engineer
D. V. Chernyavsky
IFW Institute for Theoretical Solid State Physics
Germany
Germany
Candidate of Sciences (Physics and Mathematics)
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Review
For citations:
Rezaev R.O., Dmitriev A.A., Chernyavsky D.V. Application of probabilistic approaches for the construction of “composition–property” models. Part I (Theory). Concrete and Reinforced Concrete. 2022;612-613(4-5):25-37. (In Russ.) https://doi.org/10.31659/0005-9889-2022-612-613-4-5-25-37
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