# Mathematical material science

We study the role that microstructure plays in determining the interesting and important properties of natural and manufactured materials.

Recent projects have led to new designs of optimal bone implants and new laws for modelling diffusion on networks.

This research area draws on the fields of:

- applied mathematics
- probability theory
- continuum mechanics
- electrostatic and diffusive transport
- topology optimization.

Past projects have modelled the properties of a wide range of materials, including:

- binary alloys
- polymers
- aerogels
- porous ceramics
- network models
- aggregates
- gas barrier films
- fractals.