Author ORCID Identifier
Ciprian S. Borcea:
">0000-0002-6207-9127/a>
Document Type
Article
Publication Date
8-2022
Publication Title
Royal Society Open Science
Abstract
The auxetic structures considered in this paper are three-dimensional periodic bar-and-joint frameworks. We start with the specific purpose of obtaining an auxetic design with underlying periodic graph of low valency. Adapting a general methodology, we produce an initial framework with valency seven and one degree of freedom. Then, we describe a saturation process, whereby edge orbits are added up to valency 16, with no alteration of the deformation path. This is reflected in a large dimension for the space of periodic self-stresses. The saturated version has higher crystallographic symmetry and allows a precise description of the deformation trajectory. Reducing saturation by adequate removal of edge orbits results in vast numbers of distinct auxetic designs which obey the same kinematics.
Volume
9
Issue
8
DOI
https://doi.org/10.1098/rsos.220765
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
© 2022 The Authors.
Recommended Citation
Borcea, Ciprian S. and Streinu, Ileana, "Saturation and Periodic Self-Stress in Geometric Auxetics" (2022). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/401
Comments
Archived as published.