Flat sheets to curved geometries
From ﬂat sheets to curved geometries: Origami and kirigami approaches
By: Sebastien J.P. Callens Amir A. Zadpoor
Department of Biomechanical Engineering, Delft University of Technology
Transforming ﬂat sheets into three-dimensional structures has emerged as an exciting manufacturing paradigm on a broad range of length scales. Among other advantages, this technique permits the use of functionality-inducing planar processes on ﬂat starting materials, which after shape-shifting, result in a unique combination of macro-scale geometry and surface topography.
Fabricating arbitrarily complex three-dimensional geometries requires the ability to change the intrinsic curvature of initially ﬂat structures, while simultaneously limiting material distortion to not disturb the surface features. The centuries-old art forms of origami and kirigami could offer elegant solutions, involving only folding and cutting to transform ﬂat papers into complex geometries.
Although such techniques are limited by an inherent developability constraint, the rational design of the crease and cut patterns enables the shape-shifting of (nearly) inextensible sheets into geometries with apparent intrinsic curvature. Here, we review recent origami and kirigami techniques that can be used for this purpose, discuss their underlying mechanisms, and create physical models to demonstrate and compare their feasibility.
Moreover, we highlight practical aspects that are relevant in the development of advanced materials with these techniques. Finally, we provide an outlook on future applications that could beneﬁt from origami and kirigami to create intrinsically curved surfaces.