New principles for auxetic periodic design

2016/08/06 by Ciprian S. Borcea, Borcea, Ciprian S., Ileana Streinu +1 · 1 citation
Engineering · Computer Science · #Cellular and Composite Structures #Advanced Materials and Mechanics #Computational Geometry and Mesh Generation

paper · pdf · doi:10.48550/arxiv.1608.02104

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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