Speaker
Description
We study the homogenisation of an incompressible viscoelastoplastic fluid in randomly perforated domains. The mesoscopic model couples the balance of momentum with the evolution of a deviatoric internal stress tensor. The latter is transported by the flow through the Zaremba–Jaumann derivative and is subject to a non-smooth plastic dissipation law as well as stress diffusion. This model is used in geodynamics, for example, to describe the evolution of fault systems in the lithosphere under the influence of fluid flow over geological time scales.
The perforations are given by randomly distributed spheres with probable overlaps. Depending on the scaling of the radii against the microstructure scale, we examine different effective behaviour of the velocity and the internal stress.
This is joint work with Piotr Wozniak (FU Berlin) within project B09 "Materials with discontinuities on many scales" of CRC 1114 "Scaling Cascades in Complex Systems" funded by the German Research Foundation.