Abstract:  Origami folds have found applications as solar panels for satellites or to manufacture metamaterials, for instance. A homogenization process turning origami folds into smooth surfaces, developed in [Nassar et al, 2017], is first discussed alongside the PDEs characterizing the associated smooth surfaces. The talk then focuses on studying their solutions and proposing a numerical method to approximate them.

PDEs modeling kirigami, proposed in [Zheng et al, 2022], are then introduced. Their challenges are discussed and very weak solutions are proved to exist. A numerical method to approximate them is then proposed and its results are compared with experimental data."