On local kirigami mechanics II: Stretchable creased solutions

Souhayl Sadik*, Martin G. Walker, Marcelo A. Dias

*Corresponding author for this work

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Abstract

Following on Part I of this work series on local kirigami mechanics, we present a study of a discretely creased mechanism as a model to investigate the mechanics of the basic geometric building block of kirigami—the e-cone. We consider an annular disk with a single radial slit discretised by a series of radial creases connecting kinematically flat rigid panels. The creases allow both relative rotation and separation between panels, capturing both bending and stretching deformations. Admissible equilibrium configurations are obtained by penalising these deformations using elastic springs with stiffnesses derived from compatible continuum plate deformations. This provides a tool to study both inextensible and extensible e-cone configurations due to opening of the slit and rotation of its lips. This creased model hence offers the possibility to study the e-cone away from its isometric limit, i.e., for plates with finite thickness, and explore the full range of post-buckling (far-from-threshold) behaviour as well as initial buckling (near-threshold) instability. Our local approach provides a fundamental understanding of kirigami phenomenology, underpinned by a proper theoretical approach to geometry and mechanics.

Original languageEnglish
Article number104812
JournalJournal of the Mechanics and Physics of Solids
Volume161
ISSN0022-5096
DOIs
Publication statusPublished - Apr 2022

Keywords

  • Creased disk
  • e-cone
  • Kirigami
  • Plate mechanics

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