Dr Kirill Cherednichenko
Plastic shear of a thin film via homogenisation of the dislocation transport
The discrete dislocation (DD) approach, initiated by Van der Giessen and Needleman, has elucidated a range of phenomena in plastically deformed solids. Being a ``brute force'' computational method, it motivates the question of whether its essential features can be captured by averaging the dislocation motion in some way. Using the homogenisation approach we propose a system of transport equations for the n-point dislocation densities, which possesses a number of such features. We illustrate this in the setting of the shear of a film, where size effects similar to those in the DD model are observed.