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New principles for auxetic periodic design

SIAM Journal on Applied Algebra and Geometry (2017) 1(1) 442-458
DOI: 10.1137/16M1088259
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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.

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Borcea, C. S., & Streinu, I. (2017). New principles for auxetic periodic design. SIAM Journal on Applied Algebra and Geometry, 1(1), 442–458. https://doi.org/10.1137/16M1088259

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