Abstract
Auxetic kirigami patterns have been used for fabricating given target surfaces from flat sheets. In particular, bistable kirigami patterns are useful as they keep the structure stable at the target shapes. In this paper, we propose a family of new bistable kirigami patterns that potentially resolves the limitation of existing bistable kirigami, which are (1) the small range of the scale factor that limits the target surface and (2) the asynchronous deployment with multiple locally stable states other than the target surface. The proposed patterns are obtained by adding bistability-inducing bar elements to star tiling kirigami patterns. The experiments show the improvement of synchronization of our structure. We propose an optimization-based computational design method to obtain curved surfaces by arranging the kirigami patterns and the bar elements such that each unit expands to the given scale factor. We applied this method to several surfaces and validated the physical prototypes.
