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Andrade-Silva I, Adda-Bedia M, Dias MA. Foldable cones as a framework for nonrigid origami. Phys Rev E. 2019;100(3):033003doi: 10.1103/PhysRevE.100.033003.
Andrade-Silva, I., Adda-Bedia, M., & Dias, M. A. (2019). Foldable cones as a framework for nonrigid origami. Physical review. E, 100(3), 033003. https://doi.org/10.1103/PhysRevE.100.033003
Andrade-Silva, I, et al. "Foldable cones as a framework for nonrigid origami." Physical review. E vol. 100,3 (2019): 033003. doi: https://doi.org/10.1103/PhysRevE.100.033003
Andrade-Silva I, Adda-Bedia M, Dias MA. Foldable cones as a framework for nonrigid origami. Phys Rev E. 2019 Sep;100(3):033003. doi: 10.1103/PhysRevE.100.033003. PMID: 31639905.
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Phys Rev E. 2019 Sep;100(3):033003. doi: 10.1103/PhysRevE.100.033003.

Foldable cones as a framework for nonrigid origami.

Physical review. E

I Andrade-Silva, M Adda-Bedia, M A Dias

Affiliations

  1. Université de Lyon, Ecole Normale Supérieure de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, France.
  2. Department of Engineering, Aarhus University, 8000 Aarhus C, Denmark and Aarhus University Centre for Integrated Materials Research-iMAT, 8000 Aarhus C, Denmark.

PMID: 31639905 DOI: 10.1103/PhysRevE.100.033003

Abstract

The study of origami-based mechanical metamaterials usually focuses on the kinematics of deployable structures made of an assembly of rigid flat plates connected by hinges. When the elastic response of each panel is taken into account, novel behaviors take place, as in the case of foldable cones (f-cones): circular sheets decorated by radial creases around which they can fold. These structures exhibit bistability, in the sense that they can snap through from one metastable configuration to another. In this work, we study the elastic behavior of isometric f-cones for any deflection and crease mechanics, which introduce nonlinear corrections to a linear model studied previously. Furthermore, we test the inextensibility hypothesis by means of a continuous numerical model that includes both the extended nature of the creases, stretching and bending deformations of the panels. The results show that this phase-field-like model could become an efficient numerical tool for the study of realistic origami structures.

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