David Padilla-Garza : A homogenized bending theory for prestrained plates

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

Oct. 17, 2022, 4 p.m.

In

1227 SEO

Abstract

Nonlinear plate theory described the energy of an incompressible and inextensible thin elastic sheet. In this work, we show a general rigorous derivation of a generalization of such a model for non-euclidean plates with microheterogeneous structures. We also analyze the limiting energy in some examples and discover interesting and counter-intuitive phenomena.