Zoom link: https://huji.zoom.us/j/83685613914?pwd=THAyNjAyamRJeFZZeTB1dDVJS0kyQT09
Title: Mathematical challenges and developments in the nonlinear bending theory for plates
Abstract: The nonlinear bending theory for plates describes the mechanics of a thin inextensible and incompressible film. It features a highly non-convex isometry constraint and a quadratic cost on second-order terms. This talk will be about modern developments in deriving an extension of the nonlinear bending theory for new materials, in a mathematically general and rigorous way using Gamma-convergence. I will begin by deriving a nonlinear bending theory for prestrained thin films, using convex-integration solutions to the Monge--Ampere equation. I will also discuss extensions to thin plates with a rapidly oscillating periodic structure. Lastly, I will discuss the commutativity and non-commutativity of limits in such plates, as the period and thickness vanish.