Document Type
Article
Publication Date
2-1-2021
Publication Title
Mathematics and Mechanics of Solids
Abstract
We investigate geometric characteristics of a specific planar periodic framework with three degrees of freedom. While several avatars of this structural design have been considered in materials science under the name of chiral or missing rib models, all previous studies have addressed only local properties and limited deployment scenarios. We describe the global configuration space of the framework and emphasize the geometric underpinnings of auxetic deformations. Analogous structures may be considered in arbitrary dimension.
Keywords
auxetic deformation, chiral models, Periodic framework, Prussian blue, pseudo-triangulation
Volume
26
Issue
2
First Page
199
Last Page
216
DOI
10.1177/1081286520948116
ISSN
10812865
Rights
© The Author(s) 2020
Recommended Citation
Borcea, Ciprian S. and Streinu, Ileana, "Periodic Tilings and Auxetic Deployments" (2021). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/261
Comments
Archived as published.