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Some Peculiarities of Using the Extended Finite Element Method in Modelling the Damage Behaviour of Fibre-Reinforced
1Institute of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 613 00 Brno, Czech Republic.
Materials (Basel, Switzerland)
|May 7, 2025
Summary
This study models fibre-reinforced composites using the extended finite element method (XFEM), focusing on crack behavior in silicon nitride ceramics. It suggests modifications for accurate stress calculations in viscoelastic materials.
Area of Science:
- Materials Science
- Computational Mechanics
Background:
- Fibre-reinforced composites are crucial in engineering applications.
- Understanding crack initiation and propagation is vital for material integrity.
- Silicon nitride ceramics are widely used short fibre ceramics.
Purpose of the Study:
- To model crack initiation and propagation in fibre-reinforced composites using the extended finite element method (XFEM).
- To investigate the peculiarities and necessary modifications of XFEM for silicon nitride ceramics under viscoelastic conditions.
- To recommend approaches for accurate macroscopic stress calculation ahead of a crack front.
Main Methods:
- Utilisation of the extended finite element method (XFEM).
- Modeling of silicon nitride-based ceramics as a representative short fibre ceramic.
- Analysis of material behavior under external stresses, particularly in the viscoelastic range.
Main Results:
- Identified peculiarities in applying XFEM to silicon nitride ceramics.
- Discussed necessary modifications to XFEM for improved accuracy.
- Highlighted the importance of accurate macroscopic stress calculation for crack propagation.
Conclusions:
- XFEM can be effectively modified to model crack behavior in fibre-reinforced composites.
- Accurate stress calculation is key to predicting material performance under operating conditions.
- The study provides recommendations for enhancing XFEM's predictive capabilities for viscoelastic materials.
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