MODELING OF CONDITIONS FOR MAINTAINING THE SPECIFIED POROSITY IN MATERIALS BASED ON MIXTURES OF ALUMINOSILICATE PARTICLES AND FIBERS
Article Sidebar
Main Article Content
Abstract
The article presents the results of modeling the shrinkage of porous structures obtained by sintering refractory non-metallic materials. The problem of forming a rigid framework of transport pores in porous materials based on basalt fibers and fine-grained aluminosilicate particles is considered. The use of a percolation approach is proposed to estimate the minimum concentration of aluminosilicate particle centers that limit shrinkage. The percolation threshold is determined using a mathematical model based on the matrix representation of graph theory apparatus. It is shown that the application of discrete mathematical models allows predicting the structural stability of the framework while maintaining porosity of more than 50%.
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
Модифицирование поверхности высокопористых керамических материалов / В.Н. Анциферов, Е.В. Матыгуллина, С.Е. Порозова и др. // Огнеупоры и техническая керамика. – 2004. – № 8. – С. 2–4.
Влияние циклических термических нагрузок на структуру и свойства керамических материалов различного фазового состава / Р.Ю. Попов, Е.М. Дятлова, О.А. Сергиевич и др. // Стекло и керамика. – 2020. – № 4-5. – С. 14−21.
Исследование механизмов формирования жесткой системы микрофильтрационных транспортных пор при спекании базальтовых волокон / С.М. Азаров, Е.Е. Петюшик, И.В. Фомихина и др. / Современные методы и технологии создания и обработки материалов: сб. науч. тр. В 2 кн. / редкол.: В.Г. Залесский (гл. ред.) и др. – Минск: ФТИ НАН Беларуси, 2024. – Кн. 1: Материаловедение. – С. 6–13.
Тарасевич Ю.Ю. Перколяция: теория, приложения, алгоритмы. – М.: УРСС, 2002. – 112 с.
Stauffer D., Aharony A. Introduction to Percolation Theory. – London: Taylor & Francis, 1994. – 192 р.
Most read articles by the same author(s)
- S. AZARAU, A. DROBYSH, E. MIHASIK, A. JANEZKAJA, SIMULATION OF CONDITIONS FOR LIMITING SHRINKAGE DURING THE FORMATION OF A RIGID SYSTEM OF TRANSPORT PORE DURING THE SINTERING PROCESS OF E-GLASS FIBERS, Vestnik of Polotsk State University. Part B. Industry. Applied Sciences: No. 2 (2025)
- S. AZAROV, A. DROBYSH, O. HRYSHEL, K. PAYLOYSKAYA, E. MIKHASIK, I. FOMIKHINA, STRUCTURE AND PROPERTIES OF HIGH-POROUS MATERIALS OBTAINED BY SINTERING OF E-GLASS CERAMIC FIBERS MODIFIED BY BORON COMPOUNDS, Vestnik of Polotsk State University. Part B. Industry. Applied Sciences: No. 3 (2026)