Boundary conditions as limits of dissipative boundary conditions in dynamic perfect plasticity

par M. Randy Llerena (University of Vienna)

lundi 25 oct. 2021, 10:00 → 11:00 Europe/Paris

1013 (Université de Paris - Bâtiment Sophie Germain)

In this talk, we will present a problem of small-strain dynamical perfect-plasticity under general assumptions of the stress constraint. By variational methods and using approximations of the type Perzyna visco-plasticity and Kelvin-Voigt visco-elasticity, we will prove the well posedness of this problem. With this type of approximations, it appears the called "dissipative boundary conditions", we will use an asymptotic analysis on these conditions, in order to recover Dirichlet, Neumann and Mixed boundary conditions. This is joint work with Jean-François Babadjian