Cutting holes in bistable folds
arXiv:2008.12382 · doi:10.1016/j.mechrescom.2021.103700
Abstract
A folded disk is bistable, as it can be popped through to an inverted state with elastic energy localized in a small, highly-deformed region on the fold. Cutting out this singularity relaxes the surrounding material and leads to a loss of bistability when the hole dimensions reach a critical size. These dimensions are strongly anisotropic and feature a surprising re-entrant behavior, such that removal of additional material can re-stabilize the inverted state. A model of the surface as a wide annular developable strip is found to capture the qualitative observations in experiments and simulations. These phenomena are consequential to the mechanics and design of crumpled elastic sheets, developable surfaces, origami and kirigami, and other deployable and compliant structures.
arXiv commentwhither the singularity?
References in corpus (18)
- Origami Multistabilty: From Single Vertices to Metasheets
- Geometric Mechanics of Curved Crease Origami
- The mechanical response of a creased sheet
- Advances in Shell Buckling: Theory and Experiments
- Multistable Kirigami for Tunable Architected Materials
- "Wunderlich, meet Kirchhoff": A general and unified description of elastic ribbons and thin rods
- 3-dimensional structure of a sheet crumpled into a ball
- Bifurcations of buckled, clamped anisotropic rods and thin bands under lateral end translations
- Triangular buckling patterns of twisted inextensible strips
- Elastic building blocks for confined sheets
- Scaling of the buckling transition of ridges in thin sheets
- Crescent Singularities in Crumpled Sheets
- Kirigami mechanics as stress relief by elastic charges
- Curvature condensation and bifurcation in an elastic shell
- Foldable Cones as a Framework for Nonrigid Origami
- Dipoles in thin sheets
- Bistability and equilibria of creased annular sheets and strips
- Mechanical response of a self avoiding membrane: fold collisions and the birth of conical singularities
Cited by in corpus (5)
- Mechanical memories in solids, from disorder to design
- On Local Kirigami Mechanics I: Isometric Conical Solutions
- Continuous modeling of creased annuli with tunable bistable and looping behaviors
- On local kirigami mechanics II: Stretchable creased solutions
- Bistability and equilibria of creased annular sheets and strips