Lattice mechanics of origami tessellations.
Origami-based design holds promise for developing materials whose mechanical properties are tuned by crease patterns introduced to thin sheets. Although there have 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.
Department of Physics, UMass Amherst, Amherst, Massachusetts 01003, USA.
Arthur A
AA
Evans
Department of Physics, Cornell University, Ithaca, New York 14853, USA.
Jesse L
JL
Silverberg
Department of Physics, UMass Amherst, Amherst, Massachusetts 01003, USA.
Christian D
CD
Santangelo