Mathematics and Mechanics of Solids
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.
auxetic deformation, chiral models, Periodic framework, Prussian blue, pseudo-triangulation
© The Author(s) 2020
Borcea, Ciprian S. and Streinu, Ileana, "Periodic Tilings and Auxetic Deployments" (2021). Computer Science: Faculty Publications, Smith College, Northampton, MA.