About Extremal Structures in Elasticity in the Small Volume Fraction Limit
- When?
- Friday 30 October 2009, 16:00
- Where?
- 22AA04
- Open to:
- Staff, Students
Speaker: Dr Yves Capdeboscq (Oxford)
Abstract: The effect of perturbations of small volume on the Lamé Coefficients of an elastic body can be used to detect imperfections of small volume. In the analysis of such perturbations, an elastic moment tensor appears.
This quantity also appears naturally in the theory of composites, when one investigates inclusion shapes of minimal energy. In the context of inverse problems, it is relevant to know if for a given volume, one can distinguish thick inclusions from thin ones. We will discuss recent progresses on the characterization of inclusion shapes corresponding to extremal elastic moment tensor.
