Auxetic Interval Determination and Experimental Validation for a Three-Dimensional Periodic Framework

Ciprian S. Borcea, Rider University
Freek G.J. Broeren, Department of Precision and Microsystems Engineering, TU Delft
Just L. Herder, Department of Precision and Microsystems Engineering, TU Delft
Ileana Streinu, Smith College
Volkert van der Wijk, Department of Precision and Microsystems Engineering, TU Delft

This document has been relocated to https://scholarworks.smith.edu/csc_facpubs/282/

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Abstract

Auxetic behavior refers to lateral widening upon stretching or, in reverse, lateral shrinking upon compression. When an initially auxetic structure is actuated by compression or extension, it will not necessarily remain auxetic for larger deformations. In this paper, we investigate the auxetic range in the deformation of a periodic framework with one degree of freedom. We use geometric criteria to identify the interval where the deformation is auxetic and validate these theoretical findings with compression experiments on sample structures with (Formula presented.) unit cells.