Lattice Mechanics of Origami Tessellations
arXiv:1503.05756 · doi:10.1103/PhysRevE.92.013205
Abstract
Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there has been heuristic developments in constructing patterns with desirable qualities, the bridge between origami and physics has yet to be fully developed. To truly consider origami structures as a class of materials, methods akin to solid mechanics need to be developed to understand their long-wavelength behavior. We introduce here a lattice theory for examining the mechanics of origami tessellations in terms of the topology of their crease pattern and the relationship between the folds at each vertex. This formulation provides a general method for associating mechanical properties with periodic folded structures, and allows for a concrete connection between more conventional materials and the mechanical metamaterials constructed using origami-based design.
References in corpus (8)
- Topological Boundary Modes in Isostatic Lattices
- Topological modes bound to dislocations in mechanical metamaterials
- Origami Multistabilty: From Single Vertices to Metasheets
- Nonlinear conduction via solitons in a topological mechanical insulator
- Geometric Mechanics of Curved Crease Origami
- The mechanical response of a creased sheet
- Elastic Instability Triggered Pattern Formation
- Patterns on a Roll: A Method for Continuous Feed Nanoprinting
Cited by in corpus (9)
- Topological mechanics of origami and kirigami
- Branches of triangulated origami near the unfolded state
- Origami building blocks: generic and special 4-vertices
- Non-Euclidean Origami
- Hidden symmetries generate rigid folding mechanisms in periodic origami
- On local kirigami mechanics II: Stretchable creased solutions
- Randomly stacked open-cylindrical shells as a functional mechanical device
- Origami of Multi-Layered Spaced Sheets
- Sculpting the Vertex: Manipulating the Configuration Space Topography and Topology of Origami Vertices to Design Mechanical Robustness