Cutting holes in bistable folds

Tian Yu*, Ignacio Andrade-Silva, Marcelo Dias, James Hanna

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.
Original languageEnglish
Article number103700
JournalMechanics Research Communications
Early online date11 May 2021
Publication statusE-pub ahead of print - 11 May 2021


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