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  • Development of new generation composite materials: a fractal approach

    The research aimed to investigate the properties of glass-basalt composite tubes, specifically examining the relationship between structural fractal dimensions, composition, and mechanical properties. Physical experiments were carried out to assess the properties of glass and glass-basalt composite tubes. These tests included measurements of tensile strength, modulus of elasticity, fracture resistance, flexural strength, and additional mechanical characteristics. Fractal analysis of rovings and epoxy binder was performed at the microstructural level to evaluate the impact of structure on mechanical performance. Through predictive modeling of the physical and mechanical properties of glass-basalt composite tubes, an optimal range of properties was identified. This range is defined by specific technological parameters: rovings content of 68–74%, basalt fiber diameter of 7–12 μm, and epoxy binder content of 21–27%. Within this framework, the production of tubes with the following target properties was predicted: tensile strength, compressive strength , and modulus of elasticity.

    Keywords: fractal modeling, microstructure, matrix fibers, glass-basalt plastic, composite material, forecasting, strength, fractal dimension, heterogeneity, mechanical properties, composite pipe, glass fiber, basalt, correlation analysis

  • Multifractal Analysis for Young's Modulus Estimation in Composite Pipes

    The research aimed to investigate the structure of glass-basalt composite pipes and explore the relationship between their Renyi statistical dimensions and physicomechanical properties. Physical experiments were conducted to measure and analyze the elasticity of glass-basalt composite pipes. The experiments included testing the modulus of elasticity and other mechanical properties. Fractal analysis was applied at the microstructural level to assess the influence of the fiber matrix structure on the physicomechanical behavior of the pipes. The study explored the possibility of modeling the microstructure of glass-basalt composite pipes using 3D fractal analysis. A correlation was established between the spectrum of multifractal dimensions (D-200, D0, D1, D2, D200), the heterogeneity of the fiber matrix f(α), and the elasticity properties (Young’s modulus). For the obtained fractal models predicting Young’s modulus, the correlation coefficients (R2) were 0.95 for D0, 0.92 for D1, 0.90 for D2, 0.82 for D-200, and 0.68 for f(α). These results can be applied for rapid estimation of Young’s modulus using optical microscopy and photomicrographs of the microstructure.

    Keywords: fractal modeling, microstructure, physicomechanical properties, material development, glass-basalt fiber, polymer pipes, forecasting, interphase boundaries, mechanical properties, fractal dimension, heterogeneity