Geometry-dependent stretchability and stiffness of ribbon kirigami based on large curvature curved beam model

This paper lays stress on the normalized stiffness and stretchability of planar ribbon kirigami. A dimensionless analytical model is proposed based on plane strain beam theory, in which the large curvature curved beam (LCCB) model is considered. The tensile experiments and simulations are performed and compared to validate the analytical model based on four dimensionless parameters. It is found that not all kirigami-based design is conducive to the enhancement of normalized stretchability. Remarkable long arm effect can enhance the normalized stretchability or reduce the normalized stiffness by several orders of magnitude. Finally, an optimization method is used to obtain the maximum normalized stretchability. The results in this paper can be used to guide the kirigami design in future application.