English

New principles for auxetic periodic design

Metric Geometry 2016-08-09 v1

Abstract

We show that, for any given dimension d2d\geq 2, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric approach to auxetic trajectories developed within our general theory of deformations of periodic frameworks.

Keywords

Cite

@article{arxiv.1608.02104,
  title  = {New principles for auxetic periodic design},
  author = {Ciprian S. Borcea and Ileana Streinu},
  journal= {arXiv preprint arXiv:1608.02104},
  year   = {2016}
}
R2 v1 2026-06-22T15:13:54.784Z