Speaker
Description
A model describing both viscoelastic and viscoplastic behavior of two-phase flows has been developed. This model is used in geodynamics, e.g., to describe the evolution of fault systems in the lithosphere over geological time scales. The system consists of a momentum balance, an evolution law for an extra stress tensor, and a Cahn-Hilliard-type evolution law that governs phase separation. The Cauchy stress in the momentum balance is constituted by a viscoelastic Stokes-like term as well as by a contribution from the extra stress. The evolution law for the extra stress incorporates the Zaremba-Jaumann time derivative and a non-smooth viscoplastic dissipation mechanism. To analyze this system, appropriate concepts of generalized solutions are addressed. This is joint work with Marita Thomas (WIAS and FU Berlin) and Robert Lasarzik (WIAS Berlin) within project C09 "Dynamics of rock dehydration on multiple scales" of CRC 1114 "Scaling Cascades in Complex Systems" funded by the German Research Foundation.
