Physical Mathematics Seminar
Tuesday, December 10, 2019 at 2:30pm to 3:30pm
Building 2, Room 131 -- MIT - Department of Mathematics, 77 Mass. Ave., Cambridge, MA
SPEAKER: Gary Pui-Tung Choi (Harvard University)
TITLE: Geometric and topological control of kirigami
The basic building block of any kirigami pattern is a periodic planar motif with cuts that allow the unit cell to open or close via planar rotations. The tessellations of the plane can take many forms - quads, kagome lattices, and even Islamic tilings. Recent work has explored these geometries in the context of mechanical metamaterials, and focused primarily on the forward problem - given a topology and geometry of the kirigami pattern, how does it deploy and what are the mechanical properties of the structure. In this talk, we present an inverse design framework for producing generalized kirigami tessellations that conform approximately to any prescribed target shape in two and three dimensions under deployment. We also introduce a hierarchical construction method for controlling the topology of kirigami to achieve rigidity or softness.