Advanced Photon Source

An Office of Science National User Facility

NST Seminar: Geometric Charges and Kirigami

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Type Of Event: 
Seminar
Building Number: 
440
Room Number: 
A105-A106
Speaker: 
Michael Moshe
Start Date: 
Monday, April 16, 2018
Start Time: 
11:30 a.m.
Description: 

ABSTRACT:

Kirigami patterns generate non-trivial 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 to a simpler problem of interacting geometric charges.

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

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