On Linearized Plate Theory and the Derivation and Justification of the Kirchhoff-Love and the Mindlin-Reissner Plate Bending Models

Ludwig Mitter

June 13, 2017, 3:30 p.m. S2 059

In this talk we present a brief introduction to the theory of linearized elastic plate theory. This includes existence and uniqueness results for various boundary conditions, as well as convergence results for the model error as the plate‘s thickness approaches zero. Furthermore, we want to shed some light on the related plate bending theory for the popular Kirchhoff-Love and Mindlin-Reissner plate models and their different formulations, resulting from different boundary conditions. In particular, we will discuss the cases of a clamped plate, as well as the hard/soft simply supported plate.