A new mixed variational formulation for Kirchhoff-Love plates by interpolation

Katharina Rafetseder

May 19, 2015, 1:30 p.m. S2 059

In this talk, we introduce a new mixed variational formulation of the Kirchhoff-Love plate for each of the usually considered boundary conditions, consisting of clamped, free and simply supported. This new mixed formulation is motivated by applying interpolation results to two mixed formulations, where either all derivatives are applied to the primal or the dual variable. By interpolation we can distribute the derivatives evenly among the primal and dual variable by choosing the space that is situated in the middle. For the new formulation we verify Brezzi's conditions and show equivalence to the original primal variational problem.