Frederic Marazzato : Computation of homogenized origami surfaces

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

At

March 6, 2023, 4 p.m.

In

1227 SEO

Abstract

Origami folds have found a large range of applications in engineering as solar panels for satellites, or the fabrication of mechanical metamaterials. A homogenization process turning origami folds into smooth surfaces, developed in [Nassar et al, 2017], is first discussed. Then, its application to the eggbox pattern is presented alongside the PDEs characterizing the associated smooth surfaces. The talk will then focus on the PDEs describing Miura surfaces by studying existence and uniqueness of solutions and by proposing a numerical method to approximate them. Finally, some numerical examples are presented.