Multiscale problems in dislocation theory
Lucia Scardia (University of Glasgow)
Friday 26th October, 2012 16:00-17:00 Mathematics Building, room 516
Bridging the scales between microscopic, discrete models and upscaled, continuum models, is a fundamental step in several scientific disciplines, like physics, chemistry and engineering. A common feature of many problems is that there is a general agreement on the discrete model, but there is a zoo of theories at the continuum level. On the other hand, a discrete model is unfeasible for large number of particles, and therefore there is great interest in deriving good macroscopic models. A key example is dislocation theory. Dislocations are defects in the crystal lattice of a metal and their collective motion gives rise to macroscopic permanent deformations. Therefore it is necessary to incorporate their presence in order to obtain a predictive macroscopic model. Doing so rigorously is one of the fundamental challenges in modern Materials Science.