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Characterization and Design of Three-Phase Particulate Composites: Microstructure-Free Finite Element Modeling vs.
1Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 2N2, Canada.
Materials (Basel, Switzerland)
|September 28, 2023
Summary
The microstructure-free finite element modeling (MF-FEM) approach is reliable for predicting effective elastic properties of three-phase composites, outperforming analytical models, especially with high phase property contrast. This method requires a smaller element-to-representative volume element (RVE) ratio for accuracy.
Area of Science:
- Materials Science
- Computational Mechanics
- Composite Materials
Background:
- Three-phase particulate composites offer enhanced design flexibility for tailored engineering properties.
- Predicting effective elastic properties is crucial for composite design, but experimental methods are costly and time-consuming.
- Analytical micromechanics models have limitations due to inherent assumptions.
Purpose of the Study:
- To investigate the applicability and conditions for using the microstructure-free finite element modeling (MF-FEM) approach for three-phase particulate composites.
- To establish the convergence criteria for MF-FEM in three-phase systems.
- To benchmark analytical micromechanics models against MF-FEM and experimental data.
Main Methods:
- Convergence analysis to determine the threshold element size to Representative Volume Element (RVE) dimension ratio.
- Validation of the MF-FEM approach using existing experimental data for three-phase composites.
- Comparative assessment of MF-FEM and analytical micromechanics models for predicting effective elastic properties.
Main Results:
- A threshold element-to-RVE ratio of 1/150 was established for three-phase composites, smaller than the 1/50 for two-phase composites.
- MF-FEM predictions showed close agreement with experimental data, confirming its reliability.
- Analytical models exhibited variable accuracy, particularly underestimating performance with large phase property contrasts.
Conclusions:
- The MF-FEM approach is a reliable method for predicting the effective elastic properties of three-phase particulate composites.
- Analytical micromechanics models may not be dependable for three-phase composites, especially those with significant phase property differences.
- MF-FEM, despite being more time-intensive, offers superior reliability compared to analytical models for complex composite analysis.

