New Principles for Auxetic Periodic Design

Ciprian S. Borcea; Ileana Streinu

doi:10.1137/16m1088259

Abstract

We show that, for any given dimension $d\geq 2$, 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.

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Ciprian S. Borcea#1 Ileana Streinu#2

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10.1002/adma.200901956

10.1098/rspa.2009.0676

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2014

10.19124/ima.2015.001.05

10.1007/s00454-015-9689-7

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2015

10.1098/rspa.2014.0538

10.1088/0964-1726/21/10/105004

10.1038/353124a0

10.1098/rsnr.2012.0021

10.1038/nmat3134

10.1002/pssb.200460376

10.1126/science.235.4792.1038

New Principles for Auxetic Periodic Design

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