Foldable Cones as a Framework for Nonrigid Origami

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.

References in corpus (4)

• Programming Curvature using Origami Tessellations
• Geometric Mechanics of Curved Crease Origami
• The mechanical response of a creased sheet
• How paper folds: bending with local constraints

Cited by in corpus (7)

• Plasticity and Aging of Folded Elastic Sheets
• On Local Kirigami Mechanics I: Isometric Conical Solutions
• Dissipation indicates memory formation in driven disordered systems
• Continuous modeling of creased annuli with tunable bistable and looping behaviors
• Cutting holes in bistable folds
• On local kirigami mechanics II: Stretchable creased solutions
• Bistability and equilibria of creased annular sheets and strips