Argonne National Laboratory

Upcoming Events

Geometric Charges and Kirigami

NST Seminar
Michael Moshe
April 16, 2018 11:30AM to 12:30PM
Building 440, Room A105-106

Abstract: Kirigami patterns generate nontrivial three-dimensional behavior from perforated sheets and so offer a promising means for developing mechanical metamaterials. To create a generic account of the mechanical behavior of kirigami, we study the unit cell of a typical kirigami structure: an isolated frame. The mechanical behavior of the entire sheet may then be understood in terms of the coupling of many individual frames.

Recent developments in a geometric formulation of elasticity theory paved the way for a mathematical description of such isolated frames using the concept of "geometric charges." In this approach, the mechanical problem of kirigami and coupled frames is transformed into a simpler problem of interacting geometric charges.

In this talk, I will present experimental and theoretical results on the relation among kirigami, the geometric approach to elasticity, and geometric charges. I will show how these results provide simple rules for designing nontrivial kirigami patterns.