A simple model for characterizing non-uniform fibre-based composites and networks

Area of Science:

• Materials Science
• Composite Materials
• Network Theory

Background:

• Non-uniform fiber distribution significantly affects composite material properties.
• Understanding spatial heterogeneities is crucial for accurate material modeling.
• Existing models often simplify the complex nature of fiber arrangements.

Purpose of the Study:

• To develop a mean-field model for describing fiber distribution non-uniformities.
• To quantify the impact of local composition fluctuations on material properties.
• To assess the influence of statistical heterogeneities on elastic moduli.

Main Methods:

• A heuristic formalism was employed to express key parameters (mean pore radius, specific surface area, etc.) as functions of fiber volume fraction.
• The Reuss-Voigt-Hill averaging scheme was utilized to evaluate the effect of heterogeneities on elastic moduli.
• Illustrative calculations were performed to demonstrate the model's predictions.

Main Results:

• The mean-field model successfully describes non-uniformities in fiber distribution.
• Macroscopically averaged material properties were found to be highly sensitive to variations in the mean pore radius.
• The study provides a framework for linking local composition fluctuations to bulk material behavior.

Conclusions:

• Spatial heterogeneities in fiber distribution play a critical role in determining composite properties.
• The mean pore radius is a key parameter influencing the elastic moduli of fiber-reinforced materials.
• The developed model offers a valuable tool for predicting and optimizing composite performance.