**Suitable for: **Third year students with good programming background and knowledge of partial differential equations.

**Project: **There remain questions about how failure initiates in complex geometrical situations. We will model the stress...

The materials research group studies 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.

The research area draws on the fields of applied mathematics, probability theory, continuum mechanics, electrostatic and diffusive transport, and 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 and fractals.