| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 800781 | Mechanics Research Communications | 2015 | 8 Pages |
Abstract
•Elastic fibered sheet, in which fibers are arranged in a pantographic lattice.•Finite-element solution that illustrate the model.•Bias test of pantographic sheet.•Some simulations of a three-dimensional deformation.
We simulate pattern formation in the deformations of a pantographic lattice using a model of elastic surfaces that accounts for the geodesic bending of the constituent fibers. The theory predicts an unusual arrangement of coexistent phases observed in an actual lattice, manufactured by a 3D printing process, in which the fibers undergo part-wise uniform shears separated by internal transition layers controlled by geodesic bending stiffness.
Keywords
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Ivan Giorgio, Roman Grygoruk, Francesco dell’Isola, David J. Steigmann,