Infinitesimal Periodic Deformations and Quadrics

Authors

Ciprian S. Borcea, Rider University
Ileana Streinu, Smith CollegeFollow

Document Type

Article

Publication Date

9-1-2021

Publication Title

Symmetry

Abstract

We describe a correspondence between the infinitesimal deformations of a periodic bar-and-joint framework and periodic arrangements of quadrics. This intrinsic correlation provides useful geometric characteristics. A direct consequence is a method for detecting auxetic deformations, identified by a pattern consisting of homothetic ellipsoids. Examples include frameworks with higher crystallographic symmetry.

Keywords

Auxetics, Crystallographic symmetry, Kinematics, Periodic framework, Quadrics

Volume

13

Issue

9

DOI

10.3390/sym13091719

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

© 2021 by the authors.

Comments

Archived as published.

Recommended Citation

Borcea, Ciprian S. and Streinu, Ileana, "Infinitesimal Periodic Deformations and Quadrics" (2021). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/251