Strain compatibility and gradient elasticity in morphing origami metamaterials
| Autor: | Nassar, Hussein, Lebée, Arthur, Werner, Emily |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Extreme Mechanics Letters 53 (2022) 101722 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.eml.2022.101722 |
| Popis: | The principles of origami design have proven useful in a number of technological applications. Origami tessellations in particular constitute a class of morphing metamaterials with unusual geometric and elastic properties. Although inextensible in principle, fine creases allow origami metamaterials to effectively deform non-isometrically. Determining the strains that are compatible with coarse-grained origami kinematics as well as the corresponding elasticity functionals is paramount to understanding and controlling the morphing paths of origami metamaterials. Here, within a unified theory, we solve this problem for a wide array of well-known origami tessellations including the Miura-ori as well as its more formidable oblique, non-developable and non-flat-foldable variants. We find that these patterns exhibit two universal properties. On one hand, they all admit equal but opposite in-plane and out-of-plane Poisson's ratios. On the other hand, their bending energy detaches from their in-plane strain and depends instead on the strain gradient. The results are illustrated over a case study of the self-equilibrium geometry of origami pillars. Comment: 10 pages, 4 figures |
| Databáze: | arXiv |
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