# The elastic properties of composites reinforced by a 3D Voronoi fibre network with or without missing fibres

**Authors:** Zhengyang Zhang, Hanxing Zhu, Ru Yuan, Sanmin Wang, Yanming Wang, Tongxiang Fan, Yacine Rezgui, Di Zhang  
**arXiv:** [2208.14528](https://arxiv.org/abs/2208.14528)  
**Date:** 2022-08-30  
**Summary page:** https://www.summarizepaper.com/en/paper/2208.14528v1/

## Key points

- Investigates elastic properties of composites reinforced by a 3D Voronoi fibre network
- Voronoi-like architecture in composites leads to high stiffness, strength, and manufacturability
- Regularity of Voronoi cells positively related to Young's moduli of composites
- 20% defects in reinforcement fibres only cause <6.5% drop in Young's moduli
- Voronoi fibre network-reinforced composites have higher Young's moduli than conventional composites with discrete reinforcements
- Potential for simulating aerogels using Voronoi fibre network structures
- Voronoi-based fibre networks can improve mechanical properties and have potential applications in materials science and engineering.

## Summary

The paper titled "The elastic properties of composites reinforced by a 3D Voronoi fibre network with or without missing fibres" investigates the elastic properties of composites that are reinforced by a 3D Voronoi fibre network. Composite materials with a Voronoi-like architecture or microstructure have been found to possess desirable properties such as high stiffness, strength, and manufacturability due to the stochasticity and connectivity of Voronoi tessellation. In this study, the researchers systematically examine the elastic properties of composites reinforced by a 3D Voronoi fibre network by precisely controlling the regularity of the Voronoi cells. The regularity of the reinforcement fibre networks is defined in this research and is found to be positively related to the Young's moduli of the composites. Interestingly, even when there are 20% defects in total reinforcement fibres, it only causes a less than 6.5% drop in Young's moduli in Voronoi fibre network-reinforced composites. Furthermore, it is observed that these composites exhibit higher Young's moduli compared to conventional composites with discrete reinforcements. This suggests that using Voronoi-based fibre network structures as composite reinforcements can lead to improved mechanical properties. Additionally, this paper also explores the possibility of simulating aerogels using Voronoi fibre network structures. Aerogels are highly porous materials with low density and exceptional thermal insulation properties which make them attractive for various applications. The authors discuss how these unique material characteristics can be achieved through utilizing Voronoi-based fibre networks as composite reinforcements. Overall, this study provides valuable insights into the elastic properties of composites reinforced by a 3D Voronoi fibre network and highlights their potential applications in various fields including materials science and engineering.