The Japanese art of turning flat sheets into 3D intricate structures,origami, has inspired design of mechanical metamaterials. Mechanicalmetamaterials are artificially engineered materials with uncommon properties.Miura-ori is a remarkable origami folding pattern with metamaterial propertiesand a wide range of applications. In this study, by dislocating the zigzagstrips of a Miura-ori pattern along the joining ridges, we create a class ofone-degree of freedom (DOF) cellular mechanical metamaterials. The resultingconfigurations are based on a unit cell in which two zigzag strips surround ahole with a parallelogram cross section. We show that dislocating zigzag stripsof the Miura-ori along the joining ridges, preserves and/or tunes theoutstanding properties of the Miura-ori. The introduced materials are lighterthan their corresponding Miura-ori sheets due to the presence of holes in thepatterns. Moreover, they are amenable to similar modifications available forMiura-ori which make them appropriate for a wide range of applications.
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