Open AccessMathematicsMedicineComputer Science

Ciprian S. Borcea, Ileana Streinu

2016.8.6SIAM Journal on Applied Algebra and Geometry

DOI: 10.1137/16m1088259

tlooto Summary

It is shown that, for any given dimension d ≥ 2, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite.

Abstract

We show that, for any given dimension d ≥ 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.

Citation format

BORCEA, Ciprian S.; STREINU, Ileana. New principles for auxetic periodic design [preprint]. arXiv, 2016. arXiv:1608.02104.