Multifractal Analysis for Young's Modulus Estimation in Composite Pipes
Abstract
Multifractal Analysis for Young's Modulus Estimation in Composite Pipes
Incoming article date: 13.10.2024The 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