Crystallographically programmed kirigami metamaterials

Abstract

In recent years, lattice kirigami metamaterials have attracted considerable attention due to their unconventional and often intriguing mechanical properties. However, the absence of a comprehensive analytical framework has hindered advancements in both research and practical applications. Here, we introduce an integrated framework that enables the customization, form-finding, analysis, and manufacturing of polygonal lattice kirigami metamaterials (PLKMs). By employing a strain-energy-based method, we derive the effective mechanical properties of these systems and demonstrate that structural design is an effective strategy for tailoring these properties. Additionally, we introduce a group-theory-based method for generating crystallographic kirigami metamaterials through selective symmetry breaking, complemented by lattice theory to capture and program their structural characteristics. An automated workflow is also developed for modeling, analysis, and manufacturing of these metamaterials, followed by an image-processing-based design algorithm for composite PLKMs. To illustrate the capabilities of the proposed integrated framework, we explore its potential in driving innovative applications for PLKMs. It is anticipated that this work will provide valuable insights into potential innovations in kirigami metamaterial research and engineering.