REGARDING REYNOLDS : A Micromechanical approach to the Stress-Dilatancy principle
When walking along wet sand at the beach, the wet sand around your foot appears to dry up; this phenomena is known as the Stress-Dilatancy principle and was first analysed by the well-known scientist, Osborne Reynolds. As the dense sand is subjected to shear stress, the sand will undergo volumetric expansion (i.e. an increase in void space), and consequently the water will rush into these newly created voids. This explains why, on the surface, the sand will appear to have dried up. The mechanisms responsible for stress-dilatancy transpire on the microscale, whilst hidden in at other length scales. |
ANATOMY OF FAILURE: analysis of precursory failure mechanisms and instabilities in particulate systems
| This project involves the modelling of the onset and evolution of macroscopic failure. In 2007, we are commencing a suite of new projects on studies of fault zone dynamics and other precursory failure mechanisms with scientists from the Advanced Centre for Earthquake Studies (ACES): ACES is a multi-lateral science research cooperation between APEC (Asia Pacific Economic Cooperation) countries. | ![]() |
Self organized pattern formation
This project focuses on the use of bifurcation theory to model pattern formation in granular systems (e.g. segregation by particle size and shape). This project is undertaken in collaboration with the Duke University, Centre for Nonlinear and Complex Systems |
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The JEKYLL & HYDE in granular systems
A vacuum-packed coffee is strong and stiff as a brick - you can even stand on it. But once the pack is opened, the assembly of coffee grains is suddenly weak and capable of flow when poured. This project is aimed at modelling internal processes that triggers this personality shift from a strong solid-like material to a weak liquid-like material that is capable of flow.
Mathematical techniques for advance and complex materials
| Advance and complex materials exhibit behaviour across multiple spatial and temporal scales. This project is devoted to the development of mathematical and statistical techniques that enable information to be carried through from the microscale, to the mesoscale, and ultimately to the macroscale. These techniques transcend the study of granular materials. Techniques developed from this work can be used not only to study the behaviour of naturally occurring materials but also in the design of new materials with tailor-made properties |
Background knowledge for these projects are covered in the following Maths subjects:
- Mathematical Methods
- Partial differential Equations
- Statistical Mechanics
- Computational Mathematics
- Vector Analysis
- Integral Transforms
- Continuum Mechanics
- Stochastic Modelling


