Modelling and Analysis of Material Systems

Most of our work is in the area of theoretical and applied elasticity, which forms the central core of the subject of solid mechanics. Elasticity is a broad fundamental science having applications in a diversity of other areas - for example, engineering structural mechanics (buckling and collapse of mechanical structures), materials science (modelling the mechanical properties of solids such as rubber), geophysics (interpretation of seismic data), non-destructive testing of materials using elastic waves, biomechanics (modelling the mechanical properties of soft tissue such as arteries).

The underlying mathematical theory of elasticity provides a rich framework for the study of such applications, and also offers many interesting and challenging mathematical questions in its own right relating to, for example, the governing partial differential equations and the qualitative properties of their solutions.