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

Katharina Rafetseder

May 19, 2015, 3:30 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.