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A maximum-entropy length-orientation closure for short-fiber reinforced composites
Alok Mehta1, Matti Schneider1,2
1Institute of Engineering Mathematics, University of Duisburg-Essen, Essen, Germany.
Computational Mechanics
|December 11, 2024
Summary
This study introduces an algorithm for fiber-filled composites, accurately modeling fiber length and orientation. The new method improves predictions of material properties, outperforming models that ignore this crucial relationship.
Area of Science:
- Materials Science
- Computational Mechanics
- Composite Materials
Background:
- Computational homogenization requires accurate microstructural models.
- Fiber-filled composites exhibit complex fiber length-orientation distributions.
- Existing models often simplify or ignore fiber length-orientation coupling.
Purpose of the Study:
- To develop an algorithm for generating fiber-filled volume elements that couples fiber length and orientation.
- To integrate this coupling into computational homogenization schemes.
- To investigate the impact of this coupling on effective elastic properties.
Main Methods:
- Developed a maximum-entropy estimate for fiber length-orientation distribution.
- Derived and implemented a length-orientation closure relation.
- Utilized a sequential addition and migration algorithm for microstructure generation.
- Investigated effective elastic properties for industrial volume fractions.
Main Results:
- The algorithm successfully mimics real injection-molded specimens' fiber distributions.
- Accounting for length-orientation coupling improved accuracy in predicting Young's moduli.
- The proposed method showed superior performance compared to approximations ignoring this coupling.
Conclusions:
- Coupling fiber length and orientation is critical for accurate computational homogenization of fiber-filled composites.
- The developed algorithm provides a more realistic representation of microstructures.
- This approach enhances the predictive capability for material properties in engineering applications.
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