Bifurcation Analysis of Periodic Kirigami Structure with Out-Plane Deformation

Abstract

Kirigami is a traditional art of papercraft, which makes 3 dimensional structure from 2 dimensional sheet. Recentyears, the mathematical foundations of kirigami and origami have been developed as well as the practical applications.In this research, we analyze the out-of-plane deformation of kirigami structure under tensile force, and investigate themechanism of the deformation based on the beam theory. We simulate the process from in-plane deformation to out-ofplanedeformation using molecular dynamics, and discuss the effect of geometry parameters on stability.