On local kirigami mechanics II: Stretchable creased solutions
arXiv:2109.03019 · doi:10.1016/j.jmps.2022.104812
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 discritised 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.
References in corpus (15)
- Algorithmic Lattice Kirigami: A Route to Pluripotent Materials
- Making the Cut: Lattice Kirigami Rules
- Propagation of pop ups in kirigami shells
- Highly Deformable Graphene Kirigami
- Kirigami Actuators
- Lattice Mechanics of Origami Tessellations
- Conical defects in growing sheets
- Kirigami mechanics as stress relief by elastic charges
- Foldable Cones as a Framework for Nonrigid Origami
- Nonlinear mechanics of thin frames
- On Local Kirigami Mechanics I: Isometric Conical Solutions
- Cutting holes in bistable folds
- Dipoles in thin sheets
- Confined disclinations: exterior vs material constraints in developable thin elastic sheets
- Continuity and discontinuity of kirigami's high-extensibility transition: a statistical-physics viewpoint